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 =2;
end
% There are a total of 13 entries in each of the rate and state variable arrays.
% There are a total of 65 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 (ms)');
    LEGEND_CONSTANTS(:,1) = strpad('V in component membrane (V)');
    LEGEND_ALGEBRAIC(:,2) = strpad('i_Na in component sodium_current (dimensionless)');
    LEGEND_CONSTANTS(:,2) = strpad('E_Na in component sodium_current (V)');
    LEGEND_CONSTANTS(:,3) = strpad('g_Na in component sodium_current (per_V)');
    LEGEND_ALGEBRAIC(:,1) = strpad('P_open in component Markov_model (dimensionless)');
    LEGEND_STATES(:,1) = strpad('O1 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,2) = strpad('O2 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,3) = strpad('C0 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,4) = strpad('C1 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,5) = strpad('C2 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,6) = strpad('C3 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,7) = strpad('C4 in component Markov_model (dimensionless)');
    LEGEND_STATES(:,8) = strpad('C0I in component Markov_model (dimensionless)');
    LEGEND_STATES(:,9) = strpad('C1I in component Markov_model (dimensionless)');
    LEGEND_STATES(:,10) = strpad('C2I in component Markov_model (dimensionless)');
    LEGEND_STATES(:,11) = strpad('C3I in component Markov_model (dimensionless)');
    LEGEND_STATES(:,12) = strpad('C4I in component Markov_model (dimensionless)');
    LEGEND_STATES(:,13) = strpad('I in component Markov_model (dimensionless)');
    LEGEND_CONSTANTS(:,4) = strpad('a in component Markov_model (dimensionless)');
    LEGEND_CONSTANTS(:,52) = strpad('alpha in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,53) = strpad('beta in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,54) = strpad('cf in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,55) = strpad('cn in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,56) = strpad('of in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,57) = strpad('on in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,58) = strpad('eta in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,59) = strpad('gamma in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,60) = strpad('delta in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,61) = strpad('epsilon in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,62) = strpad('omega in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,63) = strpad('v in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,64) = strpad('gamma_gamma in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,65) = strpad('delta_delta in component rate_constants (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,5) = strpad('R in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,6) = strpad('T in component rate_constants (K)');
    LEGEND_CONSTANTS(:,7) = strpad('F in component rate_constants (C_mol)');
    LEGEND_CONSTANTS(:,8) = strpad('k in component rate_constants (J_K)');
    LEGEND_CONSTANTS(:,9) = strpad('h in component rate_constants (J_ms)');
    LEGEND_CONSTANTS(:,10) = strpad('z_alpha in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,11) = strpad('z_beta in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('z_gamma in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('z_delta in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,14) = strpad('z_on in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,15) = strpad('z_of in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('z_gamma_gamma in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('z_delta_delta in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,18) = strpad('z_epsilon in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,19) = strpad('z_omega in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,20) = strpad('z_eta in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('z_v in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('z_cn in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('z_cf in component rate_constants (dimensionless)');
    LEGEND_CONSTANTS(:,24) = strpad('delta_H_alpha in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,25) = strpad('delta_H_beta in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,26) = strpad('delta_H_cf in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,27) = strpad('delta_H_cn in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,28) = strpad('delta_H_of in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,29) = strpad('delta_H_on in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,30) = strpad('delta_H_eta in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,31) = strpad('delta_H_gamma in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,32) = strpad('delta_H_delta in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,33) = strpad('delta_H_epsilon in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,34) = strpad('delta_H_omega in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,35) = strpad('delta_H_v in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,36) = strpad('delta_H_gamma_gamma in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,37) = strpad('delta_H_delta_delta in component rate_constants (J_mol)');
    LEGEND_CONSTANTS(:,38) = strpad('delta_S_alpha in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,39) = strpad('delta_S_beta in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,40) = strpad('delta_S_cf in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,41) = strpad('delta_S_cn in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,42) = strpad('delta_S_of in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,43) = strpad('delta_S_on in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,44) = strpad('delta_S_eta in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,45) = strpad('delta_S_gamma in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,46) = strpad('delta_S_delta in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,47) = strpad('delta_S_epsilon in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,48) = strpad('delta_S_omega in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,49) = strpad('delta_S_v in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,50) = strpad('delta_S_gamma_gamma in component rate_constants (J_mol_K)');
    LEGEND_CONSTANTS(:,51) = strpad('delta_S_delta_delta in component rate_constants (J_mol_K)');
    LEGEND_RATES(:,3) = strpad('d/dt C0 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt C1 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt C2 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt C3 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt C4 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,1) = strpad('d/dt O1 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,2) = strpad('d/dt O2 in component Markov_model (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt C0I in component Markov_model (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt C1I in component Markov_model (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt C2I in component Markov_model (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt C3I in component Markov_model (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt C4I in component Markov_model (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt I in component Markov_model (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) = -0.12;
    CONSTANTS(:,2) = 0.044675;
    CONSTANTS(:,3) = 0.0131;
    STATES(:,1) = 0.0;
    STATES(:,2) = 0.0;
    STATES(:,3) = 1.0;
    STATES(:,4) = 0.0;
    STATES(:,5) = 0.0;
    STATES(:,6) = 0.0;
    STATES(:,7) = 0.0;
    STATES(:,8) = 0.0;
    STATES(:,9) = 0.0;
    STATES(:,10) = 0.0;
    STATES(:,11) = 0.0;
    STATES(:,12) = 0.0;
    STATES(:,13) = 0.0;
    CONSTANTS(:,4) = 2.5218;
    CONSTANTS(:,5) = 8.314472;
    CONSTANTS(:,6) = 286.0;
    CONSTANTS(:,7) = 96500.0;
    CONSTANTS(:,8) = 1.3806504E-23;
    CONSTANTS(:,9) = 6.62607095E-31;
    CONSTANTS(:,10) = 0;
    CONSTANTS(:,11) = -0.9701;
    CONSTANTS(:,12) = 1.5703;
    CONSTANTS(:,13) = -1.3266;
    CONSTANTS(:,14) = 0.6625;
    CONSTANTS(:,15) = 0;
    CONSTANTS(:,16) = 0;
    CONSTANTS(:,17) = -3.5596;
    CONSTANTS(:,18) = 0;
    CONSTANTS(:,19) = 0;
    CONSTANTS(:,20) = 1.5717;
    CONSTANTS(:,21) = -1.3281;
    CONSTANTS(:,22) = 0;
    CONSTANTS(:,23) = 0;
    CONSTANTS(:,24) = 116900;
    CONSTANTS(:,25) = 263870;
    CONSTANTS(:,26) = 57533;
    CONSTANTS(:,27) = 293270;
    CONSTANTS(:,28) = 79035;
    CONSTANTS(:,29) = 62385;
    CONSTANTS(:,30) = 150333;
    CONSTANTS(:,31) = 200240;
    CONSTANTS(:,32) = 127970;
    CONSTANTS(:,33) = 79183;
    CONSTANTS(:,34) = 123020;
    CONSTANTS(:,35) = 121900;
    CONSTANTS(:,36) = -99967;
    CONSTANTS(:,37) = 62555;
    CONSTANTS(:,38) = 224.114;
    CONSTANTS(:,39) = 708.146;
    CONSTANTS(:,40) = 0.00711;
    CONSTANTS(:,41) = 786.217;
    CONSTANTS(:,42) = 1.510;
    CONSTANTS(:,43) = 39.295;
    CONSTANTS(:,44) = 338.915;
    CONSTANTS(:,45) = 529.952;
    CONSTANTS(:,46) = 229.205;
    CONSTANTS(:,47) = 70.078;
    CONSTANTS(:,48) = 225.175;
    CONSTANTS(:,49) = 193.265;
    CONSTANTS(:,50) = -578.317;
    CONSTANTS(:,51) = -130.639;
    CONSTANTS(:,52) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,24)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,38)./CONSTANTS(:,5)+( CONSTANTS(:,10).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,53) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,25)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,39)./CONSTANTS(:,5)+( CONSTANTS(:,11).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,54) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,26)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,40)./CONSTANTS(:,5)+( CONSTANTS(:,23).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,55) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,27)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,41)./CONSTANTS(:,5)+( CONSTANTS(:,22).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,56) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,28)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,42)./CONSTANTS(:,5)+( CONSTANTS(:,15).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,57) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,29)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,43)./CONSTANTS(:,5)+( CONSTANTS(:,14).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,58) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,30)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,44)./CONSTANTS(:,5)+( CONSTANTS(:,20).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,59) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,31)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,45)./CONSTANTS(:,5)+( CONSTANTS(:,12).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,60) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,32)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,46)./CONSTANTS(:,5)+( CONSTANTS(:,13).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,61) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,33)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,47)./CONSTANTS(:,5)+( CONSTANTS(:,18).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,62) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,34)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,48)./CONSTANTS(:,5)+( CONSTANTS(:,19).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,63) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,35)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,49)./CONSTANTS(:,5)+( CONSTANTS(:,21).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,64) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,36)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,50)./CONSTANTS(:,5)+( CONSTANTS(:,16).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    CONSTANTS(:,65) =  (( CONSTANTS(:,8).*CONSTANTS(:,6))./CONSTANTS(:,9)).*exp( - CONSTANTS(:,37)./( CONSTANTS(:,5).*CONSTANTS(:,6))+CONSTANTS(:,51)./CONSTANTS(:,5)+( CONSTANTS(:,17).*CONSTANTS(:,7).*CONSTANTS(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,6)));
    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
    RATES(:,3) = ( CONSTANTS(:,53).*STATES(:,4)+ CONSTANTS(:,54).*STATES(:,8)) -  (CONSTANTS(:,55)+ 4.00000.*CONSTANTS(:,52)).*STATES(:,3);
    RATES(:,4) = ( 2.00000.*CONSTANTS(:,53).*STATES(:,5)+ 4.00000.*CONSTANTS(:,52).*STATES(:,3)+ (CONSTANTS(:,54)./CONSTANTS(:,4)).*STATES(:,9)) -  (CONSTANTS(:,53)+ 3.00000.*CONSTANTS(:,52)+ CONSTANTS(:,55).*CONSTANTS(:,4)).*STATES(:,4);
    RATES(:,5) = ( 3.00000.*CONSTANTS(:,53).*STATES(:,6)+ 3.00000.*CONSTANTS(:,52).*STATES(:,4)+ (CONSTANTS(:,54)./power(CONSTANTS(:,4), 2.00000)).*STATES(:,10)) -  ( 2.00000.*CONSTANTS(:,53)+ 2.00000.*CONSTANTS(:,52)+ CONSTANTS(:,55).*power(CONSTANTS(:,4), 2.00000)).*STATES(:,5);
    RATES(:,6) = ( 4.00000.*CONSTANTS(:,53).*STATES(:,7)+ 2.00000.*CONSTANTS(:,52).*STATES(:,5)+ (CONSTANTS(:,54)./power(CONSTANTS(:,4), 3.00000)).*STATES(:,11)) -  ( 3.00000.*CONSTANTS(:,53)+CONSTANTS(:,52)+ CONSTANTS(:,55).*power(CONSTANTS(:,4), 3.00000)).*STATES(:,6);
    RATES(:,7) = ( CONSTANTS(:,60).*STATES(:,1)+ CONSTANTS(:,63).*STATES(:,2)+ CONSTANTS(:,52).*STATES(:,6)+ (CONSTANTS(:,54)./power(CONSTANTS(:,4), 4.00000)).*STATES(:,12)) -  ( 4.00000.*CONSTANTS(:,53)+CONSTANTS(:,59)+CONSTANTS(:,58)+ CONSTANTS(:,55).*power(CONSTANTS(:,4), 4.00000)).*STATES(:,7);
    RATES(:,1) = ( CONSTANTS(:,59).*STATES(:,7)+ CONSTANTS(:,62).*STATES(:,2)+ CONSTANTS(:,56).*STATES(:,13)) -  (CONSTANTS(:,60)+CONSTANTS(:,61)+CONSTANTS(:,57)).*STATES(:,1);
    RATES(:,2) = ( CONSTANTS(:,61).*STATES(:,1)+ CONSTANTS(:,58).*STATES(:,7)) -  (CONSTANTS(:,63)+CONSTANTS(:,62)).*STATES(:,2);
    RATES(:,8) = ( (CONSTANTS(:,53)./CONSTANTS(:,4)).*STATES(:,9)+ CONSTANTS(:,55).*STATES(:,3)) -  (CONSTANTS(:,54)+ 4.00000.*CONSTANTS(:,52).*CONSTANTS(:,4)).*STATES(:,8);
    RATES(:,9) = ( (( 2.00000.*CONSTANTS(:,53))./CONSTANTS(:,4)).*STATES(:,10)+ 4.00000.*CONSTANTS(:,52).*CONSTANTS(:,4).*STATES(:,8)+ CONSTANTS(:,55).*CONSTANTS(:,4).*STATES(:,4)) -  (CONSTANTS(:,53)./CONSTANTS(:,4)+ 3.00000.*CONSTANTS(:,52).*CONSTANTS(:,4)+CONSTANTS(:,54)./CONSTANTS(:,4)).*STATES(:,9);
    RATES(:,10) = ( (( 3.00000.*CONSTANTS(:,53))./CONSTANTS(:,4)).*STATES(:,11)+ 3.00000.*CONSTANTS(:,52).*CONSTANTS(:,4).*STATES(:,9)+ CONSTANTS(:,55).*power(CONSTANTS(:,4), 2.00000).*STATES(:,5)) -  (( 2.00000.*CONSTANTS(:,53))./CONSTANTS(:,4)+ 2.00000.*CONSTANTS(:,52).*CONSTANTS(:,4)+CONSTANTS(:,54)./power(CONSTANTS(:,4), 2.00000)).*STATES(:,10);
    RATES(:,11) = ( (( 4.00000.*CONSTANTS(:,53))./CONSTANTS(:,4)).*STATES(:,12)+ 2.00000.*CONSTANTS(:,52).*CONSTANTS(:,4).*STATES(:,10)+ CONSTANTS(:,55).*power(CONSTANTS(:,4), 3.00000).*STATES(:,6)) -  (( 3.00000.*CONSTANTS(:,53))./CONSTANTS(:,4)+ CONSTANTS(:,52).*CONSTANTS(:,4)+CONSTANTS(:,54)./power(CONSTANTS(:,4), 3.00000)).*STATES(:,11);
    RATES(:,12) = ( CONSTANTS(:,65).*STATES(:,13)+ CONSTANTS(:,52).*CONSTANTS(:,4).*STATES(:,11)+ CONSTANTS(:,55).*power(CONSTANTS(:,4), 4.00000).*STATES(:,7)) -  (( 4.00000.*CONSTANTS(:,53))./CONSTANTS(:,4)+CONSTANTS(:,64)+CONSTANTS(:,54)./power(CONSTANTS(:,4), 4.00000)).*STATES(:,12);
    RATES(:,13) = ( CONSTANTS(:,64).*STATES(:,12)+ CONSTANTS(:,57).*STATES(:,1)) -  (CONSTANTS(:,65)+CONSTANTS(:,56)).*STATES(:,13);
   RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        utilOnes = ones(statesRowCount, 1);
    end
    ALGEBRAIC(:,1) = STATES(:,1)+STATES(:,2);
    ALGEBRAIC(:,2) =  CONSTANTS(:,3).*ALGEBRAIC(:,1).*(CONSTANTS(:,1) - CONSTANTS(:,2));
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