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 =69;
end
% There are a total of 22 entries in each of the rate and state variable arrays.
% There are a total of 62 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 Time (time_units)');
    LEGEND_CONSTANTS(:,1) = strpad('T in component Environment (Temperature_units)');
    LEGEND_CONSTANTS(:,2) = strpad('F in component Environment (F_units)');
    LEGEND_CONSTANTS(:,3) = strpad('R in component Environment (R_units)');
    LEGEND_CONSTANTS(:,4) = strpad('Ca_o in component Environment (millimolar)');
    LEGEND_CONSTANTS(:,5) = strpad('Na_o in component Environment (millimolar)');
    LEGEND_CONSTANTS(:,6) = strpad('K_o in component Environment (millimolar)');
    LEGEND_CONSTANTS(:,57) = strpad('FoRT in component Environment (inverse_voltage_units)');
    LEGEND_CONSTANTS(:,58) = strpad('RToF in component Environment (voltage_units)');
    LEGEND_CONSTANTS(:,7) = strpad('Cm in component membrane (capacitance_units)');
    LEGEND_STATES(:,1) = strpad('Vm in component membrane (voltage_units)');
    LEGEND_STATES(:,2) = strpad('Ca_i_peripheral in component membrane (millimolar)');
    LEGEND_STATES(:,3) = strpad('Ca_i_bulk in component membrane (millimolar)');
    LEGEND_STATES(:,4) = strpad('Ca_sr in component membrane (millimolar)');
    LEGEND_STATES(:,5) = strpad('Na_i in component membrane (millimolar)');
    LEGEND_STATES(:,6) = strpad('K_i in component membrane (millimolar)');
    LEGEND_ALGEBRAIC(:,44) = strpad('i_k1 in component i_k1 (current_units)');
    LEGEND_ALGEBRAIC(:,34) = strpad('i_to_fast in component i_to_fast (current_units)');
    LEGEND_ALGEBRAIC(:,37) = strpad('i_to_sustained in component i_to_sustained (current_units)');
    LEGEND_ALGEBRAIC(:,47) = strpad('i_kr in component i_kr (current_units)');
    LEGEND_ALGEBRAIC(:,49) = strpad('i_ks in component i_ks (current_units)');
    LEGEND_ALGEBRAIC(:,55) = strpad('i_kb in component i_kb (current_units)');
    LEGEND_ALGEBRAIC(:,53) = strpad('i_nak in component i_nak (current_units)');
    LEGEND_ALGEBRAIC(:,32) = strpad('i_cal in component i_cal (current_units)');
    LEGEND_ALGEBRAIC(:,26) = strpad('i_cat in component i_cat (current_units)');
    LEGEND_ALGEBRAIC(:,39) = strpad('i_na_fast in component i_na_fast (current_units)');
    LEGEND_ALGEBRAIC(:,41) = strpad('i_na_late in component i_na_late (current_units)');
    LEGEND_ALGEBRAIC(:,60) = strpad('i_pmca in component i_pmca (current_units)');
    LEGEND_ALGEBRAIC(:,59) = strpad('i_cab in component i_cab (current_units)');
    LEGEND_ALGEBRAIC(:,67) = strpad('i_f_na in component i_f_na (current_units)');
    LEGEND_ALGEBRAIC(:,63) = strpad('i_f_k in component i_f_k (current_units)');
    LEGEND_ALGEBRAIC(:,50) = strpad('i_naca in component i_naca (current_units)');
    LEGEND_ALGEBRAIC(:,57) = strpad('i_nab in component i_nab (current_units)');
    LEGEND_ALGEBRAIC(:,1) = strpad('i_stim in component membrane (current_units)');
    LEGEND_ALGEBRAIC(:,62) = strpad('i_rel_per in component i_rel_per (current_units)');
    LEGEND_ALGEBRAIC(:,64) = strpad('i_serca_per in component i_serca_per (current_units)');
    LEGEND_ALGEBRAIC(:,66) = strpad('i_serca_bulk in component i_serca_bulk (current_units)');
    LEGEND_ALGEBRAIC(:,69) = strpad('i_diff in component i_diff (current_units)');
    LEGEND_ALGEBRAIC(:,68) = strpad('i_leak in component i_leak (current_units)');
    LEGEND_CONSTANTS(:,60) = strpad('peripheral_volume in component membrane (volume_units)');
    LEGEND_CONSTANTS(:,59) = strpad('bulk_volume in component membrane (volume_units)');
    LEGEND_CONSTANTS(:,62) = strpad('diffusable_volume in component membrane (volume_units)');
    LEGEND_CONSTANTS(:,61) = strpad('sr_volume in component membrane (volume_units)');
    LEGEND_CONSTANTS(:,8) = strpad('cell_volume in component membrane (volume_units)');
    LEGEND_CONSTANTS(:,9) = strpad('bulk_fraction in component membrane (dimensionless)');
    LEGEND_CONSTANTS(:,10) = strpad('periphery_fraction in component membrane (dimensionless)');
    LEGEND_CONSTANTS(:,11) = strpad('sr_fraction in component membrane (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('stim_start in component membrane (time_units)');
    LEGEND_CONSTANTS(:,13) = strpad('stim_end in component membrane (time_units)');
    LEGEND_CONSTANTS(:,14) = strpad('stim_period in component membrane (time_units)');
    LEGEND_CONSTANTS(:,15) = strpad('stim_duration in component membrane (time_units)');
    LEGEND_CONSTANTS(:,16) = strpad('stim_amplitude in component membrane (current_units)');
    LEGEND_ALGEBRAIC(:,2) = strpad('x_inf_Ttype in component x_Ttype (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('tau_x_Ttype in component x_Ttype (time_units)');
    LEGEND_STATES(:,7) = strpad('x_Ttype in component x_Ttype (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('y_inf_Ttype in component y_Ttype (dimensionless)');
    LEGEND_ALGEBRAIC(:,18) = strpad('tau_y_Ttype in component y_Ttype (time_units)');
    LEGEND_STATES(:,8) = strpad('y_Ttype in component y_Ttype (dimensionless)');
    LEGEND_ALGEBRAIC(:,17) = strpad('E_Ca in component i_cat (voltage_units)');
    LEGEND_CONSTANTS(:,18) = strpad('G_max_Ttype in component i_cat (conductance_units)');
    LEGEND_ALGEBRAIC(:,4) = strpad('x_inf_Ltype in component x_Ltype (dimensionless)');
    LEGEND_CONSTANTS(:,19) = strpad('tau_x_Ltype in component x_Ltype (time_units)');
    LEGEND_STATES(:,9) = strpad('x_Ltype in component x_Ltype (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('y_inf_Ltype in component y_Ltype (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('tau_y_Ltype in component y_Ltype (time_units)');
    LEGEND_STATES(:,10) = strpad('y_Ltype in component y_Ltype (dimensionless)');
    LEGEND_ALGEBRAIC(:,6) = strpad('y_ca_inf_Ltype in component y_ca_Ltype (dimensionless)');
    LEGEND_ALGEBRAIC(:,20) = strpad('tau_y_ca_Ltype in component y_ca_Ltype (time_units)');
    LEGEND_STATES(:,11) = strpad('y_ca_Ltype in component y_ca_Ltype (dimensionless)');
    LEGEND_ALGEBRAIC(:,29) = strpad('E_Ca in component i_cal (voltage_units)');
    LEGEND_CONSTANTS(:,20) = strpad('G_max_Ltype in component i_cal (conductance_units)');
    LEGEND_ALGEBRAIC(:,7) = strpad('x_inf_to_fast in component x_to_fast (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('tau_x_to_fast in component x_to_fast (time_units)');
    LEGEND_STATES(:,12) = strpad('x_to_fast in component x_to_fast (dimensionless)');
    LEGEND_ALGEBRAIC(:,8) = strpad('y_inf_to_fast in component y_to_fast (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('tau_y_to_fast in component y_to_fast (time_units)');
    LEGEND_STATES(:,13) = strpad('y_to_fast in component y_to_fast (dimensionless)');
    LEGEND_ALGEBRAIC(:,33) = strpad('E_k in component i_to_fast (voltage_units)');
    LEGEND_CONSTANTS(:,23) = strpad('G_max_to_fast in component i_to_fast (conductance_units)');
    LEGEND_ALGEBRAIC(:,35) = strpad('x_to_sustained in component x_to_sustained (dimensionless)');
    LEGEND_ALGEBRAIC(:,36) = strpad('E_k in component i_to_sustained (voltage_units)');
    LEGEND_CONSTANTS(:,24) = strpad('G_max_to_sustained in component i_to_sustained (conductance_units)');
    LEGEND_ALGEBRAIC(:,9) = strpad('x_inf_na_fast in component x_na_fast (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('tau_x_na_fast in component x_na_fast (time_units)');
    LEGEND_STATES(:,14) = strpad('x_na_fast in component x_na_fast (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('y_inf_na_fast in component y_na_fast (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('tau_y_na_fast in component y_na_fast (time_units)');
    LEGEND_STATES(:,15) = strpad('y_na_fast in component y_na_fast (dimensionless)');
    LEGEND_ALGEBRAIC(:,38) = strpad('E_na in component i_na_fast (voltage_units)');
    LEGEND_CONSTANTS(:,27) = strpad('G_max_na_fast in component i_na_fast (conductance_units)');
    LEGEND_ALGEBRAIC(:,11) = strpad('x_inf_na_late in component x_na_late (dimensionless)');
    LEGEND_CONSTANTS(:,28) = strpad('tau_x_na_late in component x_na_late (time_units)');
    LEGEND_STATES(:,16) = strpad('x_na_late in component x_na_late (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('y_inf_na_late in component y_na_late (dimensionless)');
    LEGEND_ALGEBRAIC(:,21) = strpad('tau_y_na_late in component y_na_late (time_units)');
    LEGEND_STATES(:,17) = strpad('y_na_late in component y_na_late (dimensionless)');
    LEGEND_ALGEBRAIC(:,40) = strpad('E_na in component i_na_late (voltage_units)');
    LEGEND_CONSTANTS(:,29) = strpad('G_max_na_late in component i_na_late (conductance_units)');
    LEGEND_ALGEBRAIC(:,42) = strpad('x_k1 in component x_k1 (dimensionless)');
    LEGEND_ALGEBRAIC(:,43) = strpad('E_k in component i_k1 (voltage_units)');
    LEGEND_CONSTANTS(:,30) = strpad('G_max_k1 in component i_k1 (conductance_units)');
    LEGEND_ALGEBRAIC(:,45) = strpad('x_kr in component x_kr (dimensionless)');
    LEGEND_ALGEBRAIC(:,13) = strpad('y_inf_kr in component y_kr (dimensionless)');
    LEGEND_ALGEBRAIC(:,30) = strpad('tau_y_kr in component y_kr (time_units)');
    LEGEND_STATES(:,18) = strpad('y_kr in component y_kr (dimensionless)');
    LEGEND_ALGEBRAIC(:,22) = strpad('ykrv1 in component y_kr (rate_constants_units)');
    LEGEND_ALGEBRAIC(:,27) = strpad('ykrv2 in component y_kr (rate_constants_units)');
    LEGEND_ALGEBRAIC(:,46) = strpad('E_k in component i_kr (voltage_units)');
    LEGEND_CONSTANTS(:,31) = strpad('G_max_kr in component i_kr (conductance_units)');
    LEGEND_ALGEBRAIC(:,14) = strpad('x_inf_ks in component x_ks (dimensionless)');
    LEGEND_ALGEBRAIC(:,23) = strpad('tau_x_ks in component x_ks (time_units)');
    LEGEND_STATES(:,19) = strpad('x_ks in component x_ks (dimensionless)');
    LEGEND_ALGEBRAIC(:,28) = strpad('y_inf_ks in component y_ks (dimensionless)');
    LEGEND_ALGEBRAIC(:,31) = strpad('tau_y_ks in component y_ks (time_units)');
    LEGEND_STATES(:,20) = strpad('y_ks in component y_ks (dimensionless)');
    LEGEND_ALGEBRAIC(:,48) = strpad('E_k in component i_ks (voltage_units)');
    LEGEND_CONSTANTS(:,32) = strpad('G_max_ks in component i_ks (conductance_units)');
    LEGEND_CONSTANTS(:,33) = strpad('n_NaCa in component i_naca (dimensionless)');
    LEGEND_CONSTANTS(:,34) = strpad('g_NaCa in component i_naca (current_units)');
    LEGEND_CONSTANTS(:,35) = strpad('d_NaCa in component i_naca (dimensionless)');
    LEGEND_CONSTANTS(:,36) = strpad('gamma in component i_naca (dimensionless)');
    LEGEND_ALGEBRAIC(:,51) = strpad('x_nak in component x_nak (dimensionless)');
    LEGEND_ALGEBRAIC(:,52) = strpad('y_nak in component y_nak (dimensionless)');
    LEGEND_CONSTANTS(:,37) = strpad('g_nak in component i_nak (current_units)');
    LEGEND_ALGEBRAIC(:,54) = strpad('E_k in component i_kb (voltage_units)');
    LEGEND_CONSTANTS(:,38) = strpad('G_max_kb in component i_kb (conductance_units)');
    LEGEND_ALGEBRAIC(:,56) = strpad('E_na in component i_nab (voltage_units)');
    LEGEND_CONSTANTS(:,39) = strpad('G_max_nab in component i_nab (conductance_units)');
    LEGEND_ALGEBRAIC(:,58) = strpad('E_ca in component i_cab (voltage_units)');
    LEGEND_CONSTANTS(:,40) = strpad('G_max_cab in component i_cab (conductance_units)');
    LEGEND_CONSTANTS(:,41) = strpad('PMCA_max in component i_pmca (current_units)');
    LEGEND_CONSTANTS(:,42) = strpad('Kpmca in component i_pmca (millimolar)');
    LEGEND_CONSTANTS(:,43) = strpad('Hpmca in component i_pmca (dimensionless)');
    LEGEND_CONSTANTS(:,44) = strpad('G_f_k in component i_f_k (conductance_units)');
    LEGEND_ALGEBRAIC(:,61) = strpad('E_k in component i_f_k (voltage_units)');
    LEGEND_STATES(:,21) = strpad('y_gate_f_k in component y_gate_f_k (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('G_f_na in component i_f_na (conductance_units)');
    LEGEND_ALGEBRAIC(:,65) = strpad('E_na in component i_f_na (voltage_units)');
    LEGEND_STATES(:,22) = strpad('y_gate_f_na in component y_gate_f_na (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('y_inf_f_gate in component y_gate_f_k (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('tau_y_f_gate in component y_gate_f_k (time_units)');
    LEGEND_ALGEBRAIC(:,16) = strpad('y_inf_f_gate in component y_gate_f_na (dimensionless)');
    LEGEND_ALGEBRAIC(:,25) = strpad('tau_y_f_gate in component y_gate_f_na (time_units)');
    LEGEND_CONSTANTS(:,46) = strpad('REL_max in component i_rel_per (current_per_millimolar_units)');
    LEGEND_CONSTANTS(:,47) = strpad('Krel in component i_rel_per (millimolar)');
    LEGEND_CONSTANTS(:,48) = strpad('SERCA_max in component i_serca_per (current_units)');
    LEGEND_CONSTANTS(:,49) = strpad('Kmf in component i_serca_per (millimolar)');
    LEGEND_CONSTANTS(:,50) = strpad('Kmr in component i_serca_per (millimolar)');
    LEGEND_CONSTANTS(:,51) = strpad('H in component i_serca_per (dimensionless)');
    LEGEND_CONSTANTS(:,52) = strpad('Kmf in component i_serca_bulk (millimolar)');
    LEGEND_CONSTANTS(:,53) = strpad('Kmr in component i_serca_bulk (millimolar)');
    LEGEND_CONSTANTS(:,54) = strpad('H in component i_serca_bulk (dimensionless)');
    LEGEND_CONSTANTS(:,55) = strpad('LEAK_max in component i_leak (current_per_millimolar_units)');
    LEGEND_CONSTANTS(:,56) = strpad('DIFF_max in component i_diff (current_per_millimolar_units)');
    LEGEND_RATES(:,1) = strpad('d/dt Vm in component membrane (voltage_units)');
    LEGEND_RATES(:,2) = strpad('d/dt Ca_i_peripheral in component membrane (millimolar)');
    LEGEND_RATES(:,3) = strpad('d/dt Ca_i_bulk in component membrane (millimolar)');
    LEGEND_RATES(:,4) = strpad('d/dt Ca_sr in component membrane (millimolar)');
    LEGEND_RATES(:,6) = strpad('d/dt K_i in component membrane (millimolar)');
    LEGEND_RATES(:,5) = strpad('d/dt Na_i in component membrane (millimolar)');
    LEGEND_RATES(:,7) = strpad('d/dt x_Ttype in component x_Ttype (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt y_Ttype in component y_Ttype (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt x_Ltype in component x_Ltype (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt y_Ltype in component y_Ltype (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt y_ca_Ltype in component y_ca_Ltype (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt x_to_fast in component x_to_fast (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt y_to_fast in component y_to_fast (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt x_na_fast in component x_na_fast (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt y_na_fast in component y_na_fast (dimensionless)');
    LEGEND_RATES(:,16) = strpad('d/dt x_na_late in component x_na_late (dimensionless)');
    LEGEND_RATES(:,17) = strpad('d/dt y_na_late in component y_na_late (dimensionless)');
    LEGEND_RATES(:,18) = strpad('d/dt y_kr in component y_kr (dimensionless)');
    LEGEND_RATES(:,19) = strpad('d/dt x_ks in component x_ks (dimensionless)');
    LEGEND_RATES(:,20) = strpad('d/dt y_ks in component y_ks (dimensionless)');
    LEGEND_RATES(:,21) = strpad('d/dt y_gate_f_k in component y_gate_f_k (dimensionless)');
    LEGEND_RATES(:,22) = strpad('d/dt y_gate_f_na in component y_gate_f_na (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 = [];
    CONSTANTS(:,1) = 310.0;
    CONSTANTS(:,2) = 96485.3415;
    CONSTANTS(:,3) = 8314.472;
    CONSTANTS(:,4) = 2.0;
    CONSTANTS(:,5) = 140;
    CONSTANTS(:,6) = 5.4;
    CONSTANTS(:,7) = 69.0;
    STATES(:,1) = -88.34;
    STATES(:,2) = 0.00001;
    STATES(:,3) = 0.000032;
    STATES(:,4) = 0.17;
    STATES(:,5) = 6.7;
    STATES(:,6) = 140;
    CONSTANTS(:,8) = 13266.5;
    CONSTANTS(:,9) = 0.6;
    CONSTANTS(:,10) = 0.2;
    CONSTANTS(:,11) = 0.06;
    CONSTANTS(:,12) = 700;
    CONSTANTS(:,13) = 9000000;
    CONSTANTS(:,14) = 500;
    CONSTANTS(:,15) = 0.5;
    CONSTANTS(:,16) = -4320.0;
    CONSTANTS(:,17) = 1.0;
    STATES(:,7) = 0.001337;
    STATES(:,8) = 0.01;
    CONSTANTS(:,18) = 0.9;
    CONSTANTS(:,19) = 0.7;
    STATES(:,9) = 0.000003;
    STATES(:,10) = 0.1;
    STATES(:,11) = 0.7;
    CONSTANTS(:,20) = 5.4;
    CONSTANTS(:,21) = 5.0;
    STATES(:,12) = 0.0;
    CONSTANTS(:,22) = 350.0;
    STATES(:,13) = 0.7;
    CONSTANTS(:,23) = 10.0;
    CONSTANTS(:,24) = 3.0;
    CONSTANTS(:,25) = 0.005;
    STATES(:,14) = 0.000007;
    CONSTANTS(:,26) = 2.0;
    STATES(:,15) = 0.978861;
    CONSTANTS(:,27) = 1140.0;
    CONSTANTS(:,28) = 15.0;
    STATES(:,16) = 0.000012;
    STATES(:,17) = 0.864489;
    CONSTANTS(:,29) = 2.0;
    CONSTANTS(:,30) = 20.0;
    STATES(:,18) = 0.25;
    CONSTANTS(:,31) = 1.5;
    STATES(:,19) = 1.0;
    STATES(:,20) = 0.0;
    CONSTANTS(:,32) = 3.0;
    CONSTANTS(:,33) = 3;
    CONSTANTS(:,34) = 0.001;
    CONSTANTS(:,35) = 0.001;
    CONSTANTS(:,36) = 0.5;
    CONSTANTS(:,37) = 442.2;
    CONSTANTS(:,38) = 0.01;
    CONSTANTS(:,39) = 0.01;
    CONSTANTS(:,40) = 0.0001;
    CONSTANTS(:,41) = 5.0;
    CONSTANTS(:,42) = 0.0001;
    CONSTANTS(:,43) = 1.5;
    CONSTANTS(:,44) = 0.188709677;
    STATES(:,21) = 0.011099;
    CONSTANTS(:,45) = 0.045290323;
    STATES(:,22) = 0.011099;
    CONSTANTS(:,46) = 2500.0;
    CONSTANTS(:,47) = 0.001;
    CONSTANTS(:,48) = 120.0;
    CONSTANTS(:,49) = 0.000246;
    CONSTANTS(:,50) = 1.7;
    CONSTANTS(:,51) = 1.6;
    CONSTANTS(:,52) = 0.000246;
    CONSTANTS(:,53) = 1.7;
    CONSTANTS(:,54) = 1.6;
    CONSTANTS(:,55) = 10.0;
    CONSTANTS(:,56) = 5000.0;
    CONSTANTS(:,57) = CONSTANTS(:,2)./( CONSTANTS(:,3).*CONSTANTS(:,1));
    CONSTANTS(:,58) = ( CONSTANTS(:,3).*CONSTANTS(:,1))./CONSTANTS(:,2);
    CONSTANTS(:,59) =  CONSTANTS(:,9).*CONSTANTS(:,8);
    CONSTANTS(:,60) =  CONSTANTS(:,10).*CONSTANTS(:,8);
    CONSTANTS(:,61) =  CONSTANTS(:,11).*CONSTANTS(:,8);
    CONSTANTS(:,62) =  (CONSTANTS(:,9)+CONSTANTS(:,10)).*CONSTANTS(:,8);
    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(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+47.8000)./-5.50000));
    RATES(:,7) = (ALGEBRAIC(:,2) - STATES(:,7))./CONSTANTS(:,17);
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+14.6000)./-5.50000));
    RATES(:,9) = (ALGEBRAIC(:,4) - STATES(:,9))./CONSTANTS(:,19);
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+-7.00000)./-9.00000));
    RATES(:,12) = (ALGEBRAIC(:,7) - STATES(:,12))./CONSTANTS(:,21);
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+27.5000)./8.00000));
    RATES(:,13) = (ALGEBRAIC(:,8) - STATES(:,13))./CONSTANTS(:,22);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./-5.00000));
    RATES(:,14) = (ALGEBRAIC(:,9) - STATES(:,14))./CONSTANTS(:,25);
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+69.0000)./3.96000));
    RATES(:,15) = (ALGEBRAIC(:,10) - STATES(:,15))./CONSTANTS(:,26);
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+30.0000)./-5.00000));
    RATES(:,16) = (ALGEBRAIC(:,11) - STATES(:,16))./CONSTANTS(:,28);
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+67.9000)./3.87000));
    ALGEBRAIC(:,18) =  1.42271.*exp( -0.0511900.*STATES(:,1));
    RATES(:,8) = (ALGEBRAIC(:,3) - STATES(:,8))./ALGEBRAIC(:,18);
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+31.0000)./5.54000));
    ALGEBRAIC(:,19) = 25.1000./(0.0400000+ 0.700000.*exp( -1.00000.*power( 0.0280000.*(STATES(:,1)+14.5000), 2.00000)));
    RATES(:,10) = (ALGEBRAIC(:,5) - STATES(:,10))./ALGEBRAIC(:,19);
    ALGEBRAIC(:,6) = 0.400000+0.600000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
    ALGEBRAIC(:,20) = 2.00000+80.0000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
    RATES(:,11) = (ALGEBRAIC(:,6) - STATES(:,11))./ALGEBRAIC(:,20);
    ALGEBRAIC(:,12) = 0.100000+0.900000./(1.00000+exp((STATES(:,1)+75.6000)./6.30000));
    ALGEBRAIC(:,21) = 120.000+ 1.00000.*exp((STATES(:,1)+100.000)./25.0000);
    RATES(:,17) = (ALGEBRAIC(:,12) - STATES(:,17))./ALGEBRAIC(:,21);
    ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1) - 1.50000)./-16.7000));
    ALGEBRAIC(:,23) = piecewise({abs(STATES(:,1)+30.0000)<0.0145000, 417.946 }, 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( -0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000)));
    RATES(:,19) = (ALGEBRAIC(:,14) - STATES(:,19))./ALGEBRAIC(:,23);
    ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
    ALGEBRAIC(:,24) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
    RATES(:,21) = (ALGEBRAIC(:,15) - STATES(:,21))./ALGEBRAIC(:,24);
    ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
    ALGEBRAIC(:,25) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
    RATES(:,22) = (ALGEBRAIC(:,16) - STATES(:,22))./ALGEBRAIC(:,25);
    ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+50.0000)./-7.50000));
    ALGEBRAIC(:,22) = piecewise({abs(STATES(:,1)+7.00000)>0.00100000, ( 0.00138000.*1.00000.*(STATES(:,1)+7.00000))./(1.00000 - exp( -0.123000.*(STATES(:,1)+7.00000))) }, 0.00138000./0.123000);
    ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1)+10.0000)>0.00100000, ( 6.10000e-05.*1.00000.*(STATES(:,1)+10.0000))./(exp( 0.145000.*(STATES(:,1)+10.0000)) - 1.00000) }, 0.000610000./0.145000);
    ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,22)+ALGEBRAIC(:,27));
    RATES(:,18) = (ALGEBRAIC(:,13) - STATES(:,18))./ALGEBRAIC(:,30);
    ALGEBRAIC(:,28) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,31) =  4.00000.*ALGEBRAIC(:,23);
    RATES(:,20) = (ALGEBRAIC(:,28) - STATES(:,20))./ALGEBRAIC(:,31);
    ALGEBRAIC(:,42) = 1.00000./(1.00000+exp((92.0000+STATES(:,1))./10.0000));
    ALGEBRAIC(:,43) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,44) =  CONSTANTS(:,30).*power(CONSTANTS(:,6)./5.40000, 0.800000).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,33) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,34) =  CONSTANTS(:,23).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,33));
    ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((5.00000 - STATES(:,1))./17.0000));
    ALGEBRAIC(:,36) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,37) =  CONSTANTS(:,24).*ALGEBRAIC(:,35).*(STATES(:,1) - ALGEBRAIC(:,36));
    ALGEBRAIC(:,45) = 1.00000./(1.00000+exp((33.0000+STATES(:,1))./22.4000));
    ALGEBRAIC(:,46) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,47) =  CONSTANTS(:,31).*power(CONSTANTS(:,6)./5.40000, 1.00000).*ALGEBRAIC(:,45).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,46));
    ALGEBRAIC(:,48) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,49) =  CONSTANTS(:,32).*STATES(:,19).*STATES(:,20).*(STATES(:,1) - ALGEBRAIC(:,48));
    ALGEBRAIC(:,54) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,55) =  CONSTANTS(:,38).*(STATES(:,1) - ALGEBRAIC(:,54));
    ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((STATES(:,1)+80.0000)./-45.0000));
    ALGEBRAIC(:,52) = 1.00000./(1.00000+exp((STATES(:,1)+0.00000)./125.000));
    ALGEBRAIC(:,53) =  CONSTANTS(:,37).*ALGEBRAIC(:,51).*ALGEBRAIC(:,52).*(1.00000./(1.00000+power(1.90000./CONSTANTS(:,6), 1.45000))).*(1.00000./(1.00000+power(31.9800./STATES(:,5), 1.00000)));
    ALGEBRAIC(:,61) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,63) =  CONSTANTS(:,44).*STATES(:,21).*(STATES(:,1) - ALGEBRAIC(:,61));
    ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,12)&VOI<=CONSTANTS(:,13)&(VOI - CONSTANTS(:,12)) -  floor((VOI - CONSTANTS(:,12))./CONSTANTS(:,14)).*CONSTANTS(:,14)<=CONSTANTS(:,15), CONSTANTS(:,16) }, 0.00000);
    RATES(:,6) = ( ( -1.00000.*ALGEBRAIC(:,34)+ -1.00000.*ALGEBRAIC(:,37)+ -1.00000.*ALGEBRAIC(:,47)+ -1.00000.*ALGEBRAIC(:,49)+ -1.00000.*ALGEBRAIC(:,44)+ -1.00000.*ALGEBRAIC(:,55)+ -1.00000.*ALGEBRAIC(:,63)+ -1.00000.*ALGEBRAIC(:,1)+ 2.00000.*ALGEBRAIC(:,53)).*1000.00)./( CONSTANTS(:,2).*CONSTANTS(:,62));
    ALGEBRAIC(:,29) =  0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
    ALGEBRAIC(:,32) =  CONSTANTS(:,20).*STATES(:,9).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,29));
    ALGEBRAIC(:,17) =  0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
    ALGEBRAIC(:,26) =  CONSTANTS(:,18).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,38) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,39) =  CONSTANTS(:,27).*STATES(:,14).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,38));
    ALGEBRAIC(:,40) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,41) =  CONSTANTS(:,29).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,40));
    ALGEBRAIC(:,60) =  CONSTANTS(:,41).*(1.00000./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), CONSTANTS(:,43))));
    ALGEBRAIC(:,58) =  0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
    ALGEBRAIC(:,59) =  CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,58));
    ALGEBRAIC(:,65) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,67) =  CONSTANTS(:,45).*STATES(:,22).*(STATES(:,1) - ALGEBRAIC(:,65));
    ALGEBRAIC(:,50) = ( 512.009.*CONSTANTS(:,34).*( exp(( CONSTANTS(:,36).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(STATES(:,5), CONSTANTS(:,33)).*CONSTANTS(:,4) -  STATES(:,2).*exp(( (CONSTANTS(:,36) - 1.00000).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(CONSTANTS(:,5), CONSTANTS(:,33))))./( (1.00000+ CONSTANTS(:,35).*( STATES(:,2).*power(CONSTANTS(:,5), CONSTANTS(:,33))+ CONSTANTS(:,4).*power(STATES(:,5), CONSTANTS(:,33)))).*(1.00000+STATES(:,2)./0.00690000));
    ALGEBRAIC(:,56) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,57) =  CONSTANTS(:,39).*(STATES(:,1) - ALGEBRAIC(:,56));
    RATES(:,1) =  ((  - 1.00000.*1.00000)./CONSTANTS(:,7)).*(ALGEBRAIC(:,44)+ALGEBRAIC(:,34)+ALGEBRAIC(:,37)+ALGEBRAIC(:,47)+ALGEBRAIC(:,49)+ALGEBRAIC(:,55)+ALGEBRAIC(:,53)+ALGEBRAIC(:,32)+ALGEBRAIC(:,26)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41)+ALGEBRAIC(:,60)+ALGEBRAIC(:,59)+ALGEBRAIC(:,67)+ALGEBRAIC(:,63)+ALGEBRAIC(:,50)+ALGEBRAIC(:,57)+ALGEBRAIC(:,1));
    ALGEBRAIC(:,62) =  CONSTANTS(:,46).*(STATES(:,4)./(1.00000+power(CONSTANTS(:,47)./STATES(:,2), 2.00000)));
    ALGEBRAIC(:,64) =  CONSTANTS(:,48).*((power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51)) - power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51)))./(1.00000+power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51))+power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51))));
    ALGEBRAIC(:,66) =  CONSTANTS(:,48).*((power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54)) - power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54)))./(1.00000+power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54))+power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54))));
    ALGEBRAIC(:,68) =  CONSTANTS(:,55).*(STATES(:,4) - STATES(:,3));
    RATES(:,4) = ( ( -1.00000.*ALGEBRAIC(:,62)+ -1.00000.*ALGEBRAIC(:,68)+ALGEBRAIC(:,66)+ALGEBRAIC(:,64)).*1000.00)./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,61));
    RATES(:,5) = ( ( -1.00000.*ALGEBRAIC(:,39)+ -1.00000.*ALGEBRAIC(:,41)+ -3.00000.*ALGEBRAIC(:,53)+ -3.00000.*ALGEBRAIC(:,50)+ -1.00000.*ALGEBRAIC(:,67)+ -1.00000.*ALGEBRAIC(:,57)).*1000.00)./( CONSTANTS(:,2).*CONSTANTS(:,62));
    ALGEBRAIC(:,69) =  CONSTANTS(:,56).*(STATES(:,2) - STATES(:,3));
    RATES(:,2) = ( ( -1.00000.*ALGEBRAIC(:,32)+ -1.00000.*ALGEBRAIC(:,26)+ -1.00000.*ALGEBRAIC(:,59)+ 1.00000.*ALGEBRAIC(:,62)+ -1.00000.*ALGEBRAIC(:,64)+ -1.00000.*ALGEBRAIC(:,69)+ 2.00000.*ALGEBRAIC(:,50)+ -1.00000.*ALGEBRAIC(:,60)).*1000.00)./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,60));
    RATES(:,3) = ( ( -1.00000.*ALGEBRAIC(:,66)+ALGEBRAIC(:,69)+ALGEBRAIC(:,68)).*1000.00)./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,59));
   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(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+47.8000)./-5.50000));
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+14.6000)./-5.50000));
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+-7.00000)./-9.00000));
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+27.5000)./8.00000));
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./-5.00000));
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+69.0000)./3.96000));
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+30.0000)./-5.00000));
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+67.9000)./3.87000));
    ALGEBRAIC(:,18) =  1.42271.*exp( -0.0511900.*STATES(:,1));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+31.0000)./5.54000));
    ALGEBRAIC(:,19) = 25.1000./(0.0400000+ 0.700000.*exp( -1.00000.*power( 0.0280000.*(STATES(:,1)+14.5000), 2.00000)));
    ALGEBRAIC(:,6) = 0.400000+0.600000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
    ALGEBRAIC(:,20) = 2.00000+80.0000./(1.00000+power(STATES(:,2)./0.000100000, 2.00000));
    ALGEBRAIC(:,12) = 0.100000+0.900000./(1.00000+exp((STATES(:,1)+75.6000)./6.30000));
    ALGEBRAIC(:,21) = 120.000+ 1.00000.*exp((STATES(:,1)+100.000)./25.0000);
    ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1) - 1.50000)./-16.7000));
    ALGEBRAIC(:,23) = piecewise({abs(STATES(:,1)+30.0000)<0.0145000, 417.946 }, 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( -0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000)));
    ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
    ALGEBRAIC(:,24) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
    ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+109.000)./10.0000));
    ALGEBRAIC(:,25) = 6000.00./(exp( -1.00000.*(2.90000+ 0.0400000.*STATES(:,1)))+exp( 1.00000.*(3.60000+ 0.110000.*STATES(:,1))));
    ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+50.0000)./-7.50000));
    ALGEBRAIC(:,22) = piecewise({abs(STATES(:,1)+7.00000)>0.00100000, ( 0.00138000.*1.00000.*(STATES(:,1)+7.00000))./(1.00000 - exp( -0.123000.*(STATES(:,1)+7.00000))) }, 0.00138000./0.123000);
    ALGEBRAIC(:,27) = piecewise({abs(STATES(:,1)+10.0000)>0.00100000, ( 6.10000e-05.*1.00000.*(STATES(:,1)+10.0000))./(exp( 0.145000.*(STATES(:,1)+10.0000)) - 1.00000) }, 0.000610000./0.145000);
    ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,22)+ALGEBRAIC(:,27));
    ALGEBRAIC(:,28) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,31) =  4.00000.*ALGEBRAIC(:,23);
    ALGEBRAIC(:,42) = 1.00000./(1.00000+exp((92.0000+STATES(:,1))./10.0000));
    ALGEBRAIC(:,43) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,44) =  CONSTANTS(:,30).*power(CONSTANTS(:,6)./5.40000, 0.800000).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,33) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,34) =  CONSTANTS(:,23).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,33));
    ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((5.00000 - STATES(:,1))./17.0000));
    ALGEBRAIC(:,36) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,37) =  CONSTANTS(:,24).*ALGEBRAIC(:,35).*(STATES(:,1) - ALGEBRAIC(:,36));
    ALGEBRAIC(:,45) = 1.00000./(1.00000+exp((33.0000+STATES(:,1))./22.4000));
    ALGEBRAIC(:,46) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,47) =  CONSTANTS(:,31).*power(CONSTANTS(:,6)./5.40000, 1.00000).*ALGEBRAIC(:,45).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,46));
    ALGEBRAIC(:,48) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,49) =  CONSTANTS(:,32).*STATES(:,19).*STATES(:,20).*(STATES(:,1) - ALGEBRAIC(:,48));
    ALGEBRAIC(:,54) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,55) =  CONSTANTS(:,38).*(STATES(:,1) - ALGEBRAIC(:,54));
    ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((STATES(:,1)+80.0000)./-45.0000));
    ALGEBRAIC(:,52) = 1.00000./(1.00000+exp((STATES(:,1)+0.00000)./125.000));
    ALGEBRAIC(:,53) =  CONSTANTS(:,37).*ALGEBRAIC(:,51).*ALGEBRAIC(:,52).*(1.00000./(1.00000+power(1.90000./CONSTANTS(:,6), 1.45000))).*(1.00000./(1.00000+power(31.9800./STATES(:,5), 1.00000)));
    ALGEBRAIC(:,61) =  CONSTANTS(:,58).*log(CONSTANTS(:,6)./STATES(:,6));
    ALGEBRAIC(:,63) =  CONSTANTS(:,44).*STATES(:,21).*(STATES(:,1) - ALGEBRAIC(:,61));
    ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,12)&VOI<=CONSTANTS(:,13)&(VOI - CONSTANTS(:,12)) -  floor((VOI - CONSTANTS(:,12))./CONSTANTS(:,14)).*CONSTANTS(:,14)<=CONSTANTS(:,15), CONSTANTS(:,16) }, 0.00000);
    ALGEBRAIC(:,29) =  0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
    ALGEBRAIC(:,32) =  CONSTANTS(:,20).*STATES(:,9).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,29));
    ALGEBRAIC(:,17) =  0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
    ALGEBRAIC(:,26) =  CONSTANTS(:,18).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,38) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,39) =  CONSTANTS(:,27).*STATES(:,14).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,38));
    ALGEBRAIC(:,40) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,41) =  CONSTANTS(:,29).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - ALGEBRAIC(:,40));
    ALGEBRAIC(:,60) =  CONSTANTS(:,41).*(1.00000./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), CONSTANTS(:,43))));
    ALGEBRAIC(:,58) =  0.500000.*CONSTANTS(:,58).*log(CONSTANTS(:,4)./STATES(:,2));
    ALGEBRAIC(:,59) =  CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,58));
    ALGEBRAIC(:,65) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,67) =  CONSTANTS(:,45).*STATES(:,22).*(STATES(:,1) - ALGEBRAIC(:,65));
    ALGEBRAIC(:,50) = ( 512.009.*CONSTANTS(:,34).*( exp(( CONSTANTS(:,36).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(STATES(:,5), CONSTANTS(:,33)).*CONSTANTS(:,4) -  STATES(:,2).*exp(( (CONSTANTS(:,36) - 1.00000).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1))./CONSTANTS(:,58)).*power(CONSTANTS(:,5), CONSTANTS(:,33))))./( (1.00000+ CONSTANTS(:,35).*( STATES(:,2).*power(CONSTANTS(:,5), CONSTANTS(:,33))+ CONSTANTS(:,4).*power(STATES(:,5), CONSTANTS(:,33)))).*(1.00000+STATES(:,2)./0.00690000));
    ALGEBRAIC(:,56) =  CONSTANTS(:,58).*log(CONSTANTS(:,5)./STATES(:,5));
    ALGEBRAIC(:,57) =  CONSTANTS(:,39).*(STATES(:,1) - ALGEBRAIC(:,56));
    ALGEBRAIC(:,62) =  CONSTANTS(:,46).*(STATES(:,4)./(1.00000+power(CONSTANTS(:,47)./STATES(:,2), 2.00000)));
    ALGEBRAIC(:,64) =  CONSTANTS(:,48).*((power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51)) - power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51)))./(1.00000+power(STATES(:,2)./CONSTANTS(:,49), CONSTANTS(:,51))+power(STATES(:,4)./CONSTANTS(:,50), CONSTANTS(:,51))));
    ALGEBRAIC(:,66) =  CONSTANTS(:,48).*((power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54)) - power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54)))./(1.00000+power(STATES(:,3)./CONSTANTS(:,52), CONSTANTS(:,54))+power(STATES(:,4)./CONSTANTS(:,53), CONSTANTS(:,54))));
    ALGEBRAIC(:,68) =  CONSTANTS(:,55).*(STATES(:,4) - STATES(:,3));
    ALGEBRAIC(:,69) =  CONSTANTS(:,56).*(STATES(:,2) - STATES(:,3));
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