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 =49;
end
% There are a total of 18 entries in each of the rate and state variable arrays.
% There are a total of 46 entries in the constant variable array.
%

function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
    % Create ALGEBRAIC of correct size
    global algebraicVariableCount;  algebraicVariableCount = getAlgebraicVariableCount();
    % Initialise constants and state variables
    [INIT_STATES, CONSTANTS] = initConsts;

    % Set timespan to solve over 
    tspan = [0, 10];

    % Set numerical accuracy options for ODE solver
    options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);

    % Solve model with ODE solver
    [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);

    % Compute algebraic variables
    [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
    ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);

    % Plot state variables against variable of integration
    [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
    figure();
    plot(VOI, STATES);
    xlabel(LEGEND_VOI);
    l = legend(LEGEND_STATES);
    set(l,'Interpreter','none');
end

function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
    LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
    LEGEND_VOI = strpad('time in component environment (second)');
    LEGEND_CONSTANTS(:,1) = strpad('R in component constants (joule_per_kilomole_kelvin)');
    LEGEND_CONSTANTS(:,2) = strpad('T in component constants (kelvin)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component constants (coulomb_per_mole)');
    LEGEND_STATES(:,1) = strpad('E in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,4) = strpad('C in component membrane (nanoF)');
    LEGEND_ALGEBRAIC(:,48) = strpad('i_tot in component membrane (picoA)');
    LEGEND_ALGEBRAIC(:,19) = strpad('i_CaL in component L_type_calcium_current (picoA)');
    LEGEND_ALGEBRAIC(:,20) = strpad('i_CaT in component T_type_calcium_current (picoA)');
    LEGEND_ALGEBRAIC(:,21) = strpad('i_Na in component fast_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,24) = strpad('i_K in component delayed_rectifying_potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,27) = strpad('i_f in component hyperpolarising_activated_current (picoA)');
    LEGEND_ALGEBRAIC(:,28) = strpad('i_p in component sodium_potassium_pump (picoA)');
    LEGEND_ALGEBRAIC(:,43) = strpad('i_NaCa in component sodium_calcium_exchange_current (picoA)');
    LEGEND_ALGEBRAIC(:,44) = strpad('i_bNa in component background_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,46) = strpad('i_bK in component background_potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,9) = strpad('E_Ca in component reversal_potentials (millivolt)');
    LEGEND_ALGEBRAIC(:,17) = strpad('E_Na in component reversal_potentials (millivolt)');
    LEGEND_ALGEBRAIC(:,18) = strpad('E_K in component reversal_potentials (millivolt)');
    LEGEND_STATES(:,2) = strpad('Cai in component ion_concentrations (millimolar)');
    LEGEND_STATES(:,3) = strpad('Cao in component ion_concentrations (millimolar)');
    LEGEND_STATES(:,4) = strpad('Nai in component ion_concentrations (millimolar)');
    LEGEND_STATES(:,5) = strpad('Nao in component ion_concentrations (millimolar)');
    LEGEND_STATES(:,6) = strpad('Ki in component ion_concentrations (millimolar)');
    LEGEND_STATES(:,7) = strpad('Ko in component ion_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,5) = strpad('g_CaL in component L_type_calcium_current (nanoS)');
    LEGEND_STATES(:,8) = strpad('dL in component L_type_calcium_current_d_gate (dimensionless)');
    LEGEND_STATES(:,9) = strpad('fL in component L_type_calcium_current_f_gate (dimensionless)');
    LEGEND_STATES(:,10) = strpad('fL2 in component L_type_calcium_current_f2_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,1) = strpad('dL_infinity in component L_type_calcium_current_d_gate (dimensionless)');
    LEGEND_CONSTANTS(:,6) = strpad('tau_dL in component L_type_calcium_current_d_gate (second)');
    LEGEND_ALGEBRAIC(:,2) = strpad('fL_infinity in component L_type_calcium_current_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('tau_fL in component L_type_calcium_current_f_gate (second)');
    LEGEND_CONSTANTS(:,7) = strpad('alpha_fL2 in component L_type_calcium_current_f2_gate (per_second)');
    LEGEND_CONSTANTS(:,8) = strpad('beta_fL2 in component L_type_calcium_current_f2_gate (per_millimolar_second)');
    LEGEND_CONSTANTS(:,9) = strpad('g_CaT in component T_type_calcium_current (nanoS)');
    LEGEND_STATES(:,11) = strpad('dT in component T_type_calcium_current_d_gate (dimensionless)');
    LEGEND_STATES(:,12) = strpad('fT in component T_type_calcium_current_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('dT_infinity in component T_type_calcium_current_d_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,11) = strpad('tau_dT in component T_type_calcium_current_d_gate (second)');
    LEGEND_ALGEBRAIC(:,4) = strpad('fT_infinity in component T_type_calcium_current_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('tau_fT in component T_type_calcium_current_f_gate (second)');
    LEGEND_CONSTANTS(:,10) = strpad('g_Na in component fast_sodium_current (nanoS)');
    LEGEND_STATES(:,13) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,14) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
    LEGEND_ALGEBRAIC(:,13) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
    LEGEND_ALGEBRAIC(:,6) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
    LEGEND_ALGEBRAIC(:,14) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
    LEGEND_ALGEBRAIC(:,22) = strpad('i_KK in component delayed_rectifying_potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,23) = strpad('i_KNa in component delayed_rectifying_potassium_current (picoA)');
    LEGEND_CONSTANTS(:,11) = strpad('Kk in component delayed_rectifying_potassium_current (picoA_per_millimolar)');
    LEGEND_CONSTANTS(:,12) = strpad('P_KNa in component delayed_rectifying_potassium_current (dimensionless)');
    LEGEND_STATES(:,15) = strpad('x in component delayed_rectifying_potassium_current_x_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('x_infinity in component delayed_rectifying_potassium_current_x_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('tau_x in component delayed_rectifying_potassium_current_x_gate (second)');
    LEGEND_ALGEBRAIC(:,25) = strpad('i_fNa in component hyperpolarising_activated_current (picoA)');
    LEGEND_ALGEBRAIC(:,26) = strpad('i_fK in component hyperpolarising_activated_current (picoA)');
    LEGEND_CONSTANTS(:,13) = strpad('Kmf in component hyperpolarising_activated_current (millimolar)');
    LEGEND_CONSTANTS(:,14) = strpad('g_fNa in component hyperpolarising_activated_current (nanoS)');
    LEGEND_CONSTANTS(:,15) = strpad('g_fK in component hyperpolarising_activated_current (nanoS)');
    LEGEND_STATES(:,16) = strpad('y in component hyperpolarising_activated_current_y_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,8) = strpad('alpha_y in component hyperpolarising_activated_current_y_gate (per_second)');
    LEGEND_ALGEBRAIC(:,16) = strpad('beta_y in component hyperpolarising_activated_current_y_gate (per_second)');
    LEGEND_CONSTANTS(:,16) = strpad('KmNa in component sodium_potassium_pump (millimolar)');
    LEGEND_CONSTANTS(:,17) = strpad('KmK in component sodium_potassium_pump (millimolar)');
    LEGEND_CONSTANTS(:,18) = strpad('i_pmax in component sodium_potassium_pump (picoA)');
    LEGEND_CONSTANTS(:,19) = strpad('kNaCa in component sodium_calcium_exchange_current (picoA)');
    LEGEND_ALGEBRAIC(:,39) = strpad('x1 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,40) = strpad('x2 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,41) = strpad('x3 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,42) = strpad('x4 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,35) = strpad('k41 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,33) = strpad('k34 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,31) = strpad('k23 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,32) = strpad('k21 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,30) = strpad('k32 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,38) = strpad('k43 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,37) = strpad('k12 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,36) = strpad('k14 in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_CONSTANTS(:,20) = strpad('Qci in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('Qn in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('Qco in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('K3ni in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,24) = strpad('Kci in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,25) = strpad('K1ni in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,26) = strpad('K2ni in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,27) = strpad('Kcni in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,28) = strpad('K3no in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,29) = strpad('K1no in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,30) = strpad('K2no in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_CONSTANTS(:,31) = strpad('Kco in component sodium_calcium_exchange_current (millimolar)');
    LEGEND_ALGEBRAIC(:,29) = strpad('do in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,34) = strpad('di in component sodium_calcium_exchange_current (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('g_Nab in component background_sodium_current (nanoS)');
    LEGEND_CONSTANTS(:,33) = strpad('KbK in component background_potassium_current (picoA_per_millimolar)');
    LEGEND_ALGEBRAIC(:,45) = strpad('i_up in component sarcoplasmic_reticulum_kinetics (picoA)');
    LEGEND_ALGEBRAIC(:,47) = strpad('i_tr in component sarcoplasmic_reticulum_kinetics (picoA)');
    LEGEND_ALGEBRAIC(:,49) = strpad('i_rel in component sarcoplasmic_reticulum_kinetics (picoA)');
    LEGEND_CONSTANTS(:,34) = strpad('V_i in component ion_concentrations (microlitre)');
    LEGEND_CONSTANTS(:,44) = strpad('V_rel in component sarcoplasmic_reticulum_kinetics (microlitre)');
    LEGEND_CONSTANTS(:,46) = strpad('V_up in component sarcoplasmic_reticulum_kinetics (microlitre)');
    LEGEND_CONSTANTS(:,35) = strpad('i_up_max in component sarcoplasmic_reticulum_kinetics (picoA)');
    LEGEND_CONSTANTS(:,36) = strpad('KmCaup in component sarcoplasmic_reticulum_kinetics (millimolar)');
    LEGEND_CONSTANTS(:,37) = strpad('KmCarel in component sarcoplasmic_reticulum_kinetics (millimolar)');
    LEGEND_CONSTANTS(:,38) = strpad('tau_rel in component sarcoplasmic_reticulum_kinetics (second)');
    LEGEND_CONSTANTS(:,39) = strpad('tau_tr in component sarcoplasmic_reticulum_kinetics (second)');
    LEGEND_STATES(:,17) = strpad('Caup in component ion_concentrations (millimolar)');
    LEGEND_STATES(:,18) = strpad('Carel in component ion_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,45) = strpad('V_e in component ion_concentrations (microlitre)');
    LEGEND_CONSTANTS(:,40) = strpad('tau_b in component ion_concentrations (second)');
    LEGEND_CONSTANTS(:,41) = strpad('Nab in component ion_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,42) = strpad('Cab in component ion_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,43) = strpad('Kb in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,1) = strpad('d/dt E in component membrane (millivolt)');
    LEGEND_RATES(:,8) = strpad('d/dt dL in component L_type_calcium_current_d_gate (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt fL in component L_type_calcium_current_f_gate (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt fL2 in component L_type_calcium_current_f2_gate (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt dT in component T_type_calcium_current_d_gate (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt fT in component T_type_calcium_current_f_gate (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt x in component delayed_rectifying_potassium_current_x_gate (dimensionless)');
    LEGEND_RATES(:,16) = strpad('d/dt y in component hyperpolarising_activated_current_y_gate (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt Nai in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,5) = strpad('d/dt Nao in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,6) = strpad('d/dt Ki in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,7) = strpad('d/dt Ko in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,2) = strpad('d/dt Cai in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,3) = strpad('d/dt Cao in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,17) = strpad('d/dt Caup in component ion_concentrations (millimolar)');
    LEGEND_RATES(:,18) = strpad('d/dt Carel in component ion_concentrations (millimolar)');
    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) = 8314.472;
    CONSTANTS(:,2) = 310;
    CONSTANTS(:,3) = 96485.3415;
    STATES(:,1) = -64.9;
    CONSTANTS(:,4) = 3.2e-5;
    STATES(:,2) = 0.000034;
    STATES(:,3) = 2.0004;
    STATES(:,4) = 7.4994;
    STATES(:,5) = 139.9929;
    STATES(:,6) = 140.0073;
    STATES(:,7) = 5.4243;
    CONSTANTS(:,5) = 0.4;
    STATES(:,8) = 0.0001;
    STATES(:,9) = 0.1505;
    STATES(:,10) = 0.219;
    CONSTANTS(:,6) = 0.002;
    CONSTANTS(:,7) = 3;
    CONSTANTS(:,8) = 40000;
    CONSTANTS(:,9) = 0.085;
    STATES(:,11) = 0.001;
    STATES(:,12) = 0.1328;
    CONSTANTS(:,10) = 0.25;
    STATES(:,13) = 0.0139;
    STATES(:,14) = 0.0087;
    CONSTANTS(:,11) = 0.00026;
    CONSTANTS(:,12) = 0.035;
    STATES(:,15) = 0.5682;
    CONSTANTS(:,13) = 10.3;
    CONSTANTS(:,14) = 0.0081;
    CONSTANTS(:,15) = 0.0135;
    STATES(:,16) = 0.0287;
    CONSTANTS(:,16) = 40;
    CONSTANTS(:,17) = 1;
    CONSTANTS(:,18) = 0.226;
    CONSTANTS(:,19) = 4;
    CONSTANTS(:,20) = 0.1369;
    CONSTANTS(:,21) = 0.4315;
    CONSTANTS(:,22) = 0;
    CONSTANTS(:,23) = 26.44;
    CONSTANTS(:,24) = 0.0207;
    CONSTANTS(:,25) = 395.3;
    CONSTANTS(:,26) = 2.289;
    CONSTANTS(:,27) = 26.44;
    CONSTANTS(:,28) = 4.663;
    CONSTANTS(:,29) = 1628;
    CONSTANTS(:,30) = 561.4;
    CONSTANTS(:,31) = 3.663;
    CONSTANTS(:,32) = 0.00024;
    CONSTANTS(:,33) = 0.00007;
    CONSTANTS(:,34) = 2.5e-6;
    CONSTANTS(:,35) = 0.0212;
    CONSTANTS(:,36) = 0.0005;
    CONSTANTS(:,37) = 0.001;
    CONSTANTS(:,38) = 0.005;
    CONSTANTS(:,39) = 0.4;
    STATES(:,17) = 0.5832;
    STATES(:,18) = 0.1101;
    CONSTANTS(:,40) = 0.1;
    CONSTANTS(:,41) = 140;
    CONSTANTS(:,42) = 2;
    CONSTANTS(:,43) = 5.4;
    CONSTANTS(:,44) =  0.00600000.*CONSTANTS(:,34);
    CONSTANTS(:,45) =  0.200000.*CONSTANTS(:,34);
    CONSTANTS(:,46) =  0.0140000.*CONSTANTS(:,34);
    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(:,10) =  CONSTANTS(:,7).*(1.00000 - STATES(:,10)) -  CONSTANTS(:,8).*STATES(:,2).*STATES(:,10);
    ALGEBRAIC(:,1) = 1.00000./(1.00000+exp((STATES(:,1)+6.60000)./ - 6.60000));
    RATES(:,8) = (ALGEBRAIC(:,1) - STATES(:,8))./CONSTANTS(:,6);
    ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./6.00000));
    ALGEBRAIC(:,10) = 0.0310000+1.00000./(1.00000+exp((STATES(:,1)+37.6000)./8.10000));
    RATES(:,9) = (ALGEBRAIC(:,2) - STATES(:,9))./ALGEBRAIC(:,10);
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+23.0000)./ - 6.10000));
    ALGEBRAIC(:,11) = 0.000600000+0.00540000./(1.00000+exp( 0.0300000.*(STATES(:,1)+100.000)));
    RATES(:,11) = (ALGEBRAIC(:,3) - STATES(:,11))./ALGEBRAIC(:,11);
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+75.0000)./6.60000));
    ALGEBRAIC(:,12) = 0.00100000+0.0400000./(1.00000+exp( 0.0800000.*(STATES(:,1)+65.0000)));
    RATES(:,12) = (ALGEBRAIC(:,4) - STATES(:,12))./ALGEBRAIC(:,12);
    ALGEBRAIC(:,5) = ( 200.000.*(STATES(:,1)+34.3000))./(1.00000 - exp(  - 0.0900000.*(STATES(:,1)+34.3000)));
    ALGEBRAIC(:,13) =  8000.00.*exp(  - 0.150000.*(STATES(:,1)+56.2000));
    RATES(:,13) =  ALGEBRAIC(:,5).*(1.00000 - STATES(:,13)) -  ALGEBRAIC(:,13).*STATES(:,13);
    ALGEBRAIC(:,6) =  32.4000.*exp(  - 0.140000.*(STATES(:,1)+93.4000));
    ALGEBRAIC(:,14) = 709.000./(1.00000+ 4.20000.*exp(  - 0.0600000.*(STATES(:,1)+45.4000)));
    RATES(:,14) =  ALGEBRAIC(:,6).*(1.00000 - STATES(:,14)) -  ALGEBRAIC(:,14).*STATES(:,14);
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+25.1000)./ - 7.40000));
    ALGEBRAIC(:,15) = 1.00000./( 17.0000.*exp( 0.0398000.*STATES(:,1))+ 0.211000.*exp(  - 0.0510000.*STATES(:,1)));
    RATES(:,15) = (ALGEBRAIC(:,7) - STATES(:,15))./ALGEBRAIC(:,15);
    ALGEBRAIC(:,8) = ( 0.360000.*(STATES(:,1)+137.800))./(exp( 0.0660000.*(STATES(:,1)+137.800)) - 1.00000);
    ALGEBRAIC(:,16) = ( 0.100000.*(STATES(:,1)+76.3000))./(1.00000 - exp(  - 0.210000.*(STATES(:,1)+76.3000)));
    RATES(:,16) =  ALGEBRAIC(:,8).*(1.00000 - STATES(:,16)) -  ALGEBRAIC(:,16).*STATES(:,16);
    ALGEBRAIC(:,9) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(STATES(:,3)./STATES(:,2));
    ALGEBRAIC(:,19) =  CONSTANTS(:,5).*STATES(:,8).*STATES(:,9).*STATES(:,10).*((STATES(:,1) - ALGEBRAIC(:,9))+75.0000);
    ALGEBRAIC(:,20) =  CONSTANTS(:,9).*STATES(:,11).*STATES(:,12).*((STATES(:,1) - ALGEBRAIC(:,9))+75.0000);
    ALGEBRAIC(:,35) = exp((  - CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2)));
    ALGEBRAIC(:,33) = STATES(:,5)./(CONSTANTS(:,28)+STATES(:,5));
    ALGEBRAIC(:,29) = 1.00000+STATES(:,3)./CONSTANTS(:,31)+ (STATES(:,3)./CONSTANTS(:,31)).*exp(( CONSTANTS(:,22).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+STATES(:,5)./CONSTANTS(:,29)+power(STATES(:,5), 2.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30))+power(STATES(:,5), 3.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30).*CONSTANTS(:,28));
    ALGEBRAIC(:,31) = ( (power(STATES(:,5), 2.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30))+power(STATES(:,5), 3.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30).*CONSTANTS(:,28))).*exp((  - CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,29);
    ALGEBRAIC(:,32) = ( (STATES(:,3)./CONSTANTS(:,31)).*exp((  - CONSTANTS(:,22).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,29);
    ALGEBRAIC(:,30) = exp(( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2)));
    ALGEBRAIC(:,38) = STATES(:,4)./(CONSTANTS(:,23)+STATES(:,4));
    ALGEBRAIC(:,39) =  ALGEBRAIC(:,35).*ALGEBRAIC(:,33).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,32))+ ALGEBRAIC(:,32).*ALGEBRAIC(:,30).*(ALGEBRAIC(:,38)+ALGEBRAIC(:,35));
    ALGEBRAIC(:,34) = 1.00000+STATES(:,2)./CONSTANTS(:,24)+ (STATES(:,2)./CONSTANTS(:,24)).*exp((  - CONSTANTS(:,20).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+( STATES(:,2).*STATES(:,4))./( CONSTANTS(:,24).*CONSTANTS(:,27))+STATES(:,4)./CONSTANTS(:,25)+power(STATES(:,4), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(STATES(:,4), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,23));
    ALGEBRAIC(:,37) = ( (STATES(:,2)./CONSTANTS(:,24)).*exp((  - CONSTANTS(:,20).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,34);
    ALGEBRAIC(:,36) = ( (power(STATES(:,4), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(STATES(:,4), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,23))).*exp(( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,34);
    ALGEBRAIC(:,40) =  ALGEBRAIC(:,30).*ALGEBRAIC(:,38).*(ALGEBRAIC(:,36)+ALGEBRAIC(:,37))+ ALGEBRAIC(:,35).*ALGEBRAIC(:,37).*(ALGEBRAIC(:,33)+ALGEBRAIC(:,30));
    ALGEBRAIC(:,41) =  ALGEBRAIC(:,36).*ALGEBRAIC(:,38).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,32))+ ALGEBRAIC(:,37).*ALGEBRAIC(:,31).*(ALGEBRAIC(:,38)+ALGEBRAIC(:,35));
    ALGEBRAIC(:,42) =  ALGEBRAIC(:,31).*ALGEBRAIC(:,33).*(ALGEBRAIC(:,36)+ALGEBRAIC(:,37))+ ALGEBRAIC(:,36).*ALGEBRAIC(:,32).*(ALGEBRAIC(:,33)+ALGEBRAIC(:,30));
    ALGEBRAIC(:,43) = ( CONSTANTS(:,19).*( ALGEBRAIC(:,40).*ALGEBRAIC(:,32) -  ALGEBRAIC(:,39).*ALGEBRAIC(:,37)))./(ALGEBRAIC(:,39)+ALGEBRAIC(:,40)+ALGEBRAIC(:,41)+ALGEBRAIC(:,42));
    RATES(:,3) = ( 1.00000.*((ALGEBRAIC(:,19)+ALGEBRAIC(:,20)) -  2.00000.*ALGEBRAIC(:,43)))./( 2.00000.*CONSTANTS(:,3).*1.00000.*CONSTANTS(:,45))+(CONSTANTS(:,42) - STATES(:,3))./CONSTANTS(:,40);
    ALGEBRAIC(:,17) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,5)./STATES(:,4));
    ALGEBRAIC(:,21) =  CONSTANTS(:,10).*power(STATES(:,13), 3.00000).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,28) =  (( (( CONSTANTS(:,18).*STATES(:,4))./(STATES(:,4)+CONSTANTS(:,16))).*STATES(:,7))./(STATES(:,7)+CONSTANTS(:,17))).*(1.00000 - power((STATES(:,1) - 40.0000)./211.000, 2.00000));
    ALGEBRAIC(:,44) =  CONSTANTS(:,32).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,23) =  STATES(:,15).*CONSTANTS(:,11).*CONSTANTS(:,12).*power(STATES(:,7)./1.00000, 0.590000).*(STATES(:,4) -  STATES(:,5).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,25) =  (( STATES(:,16).*power(STATES(:,7), 1.83000))./(power(STATES(:,7), 1.83000)+power(CONSTANTS(:,13), 1.83000))).*CONSTANTS(:,14).*(STATES(:,1) - ALGEBRAIC(:,17));
    RATES(:,4) = (  - 1.00000.*(ALGEBRAIC(:,44)+ALGEBRAIC(:,25)+ALGEBRAIC(:,21)+ 3.00000.*ALGEBRAIC(:,28)+ 3.00000.*ALGEBRAIC(:,43)+ALGEBRAIC(:,23)))./( CONSTANTS(:,3).*1.00000.*CONSTANTS(:,34));
    RATES(:,5) = ( 1.00000.*(ALGEBRAIC(:,44)+ALGEBRAIC(:,25)+ALGEBRAIC(:,21)+ 3.00000.*ALGEBRAIC(:,28)+ 3.00000.*ALGEBRAIC(:,43)+ALGEBRAIC(:,23)))./( CONSTANTS(:,3).*1.00000.*CONSTANTS(:,45))+(CONSTANTS(:,41) - STATES(:,5))./CONSTANTS(:,40);
    ALGEBRAIC(:,46) =  CONSTANTS(:,33).*power(STATES(:,7)./1.00000, 0.410000).*(STATES(:,6) -  STATES(:,7).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,22) =  STATES(:,15).*CONSTANTS(:,11).*power(STATES(:,7)./1.00000, 0.590000).*(STATES(:,6) -  STATES(:,7).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,18) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,7)./STATES(:,6));
    ALGEBRAIC(:,26) =  (( STATES(:,16).*power(STATES(:,7), 1.83000))./(power(STATES(:,7), 1.83000)+power(CONSTANTS(:,13), 1.83000))).*CONSTANTS(:,15).*(STATES(:,1) - ALGEBRAIC(:,18));
    RATES(:,6) = (  - 1.00000.*(((ALGEBRAIC(:,22)+ALGEBRAIC(:,26)) -  2.00000.*ALGEBRAIC(:,28))+ALGEBRAIC(:,46)))./( CONSTANTS(:,3).*1.00000.*CONSTANTS(:,34));
    RATES(:,7) = ( 1.00000.*(((ALGEBRAIC(:,22)+ALGEBRAIC(:,26)) -  2.00000.*ALGEBRAIC(:,28))+ALGEBRAIC(:,46)))./( CONSTANTS(:,3).*1.00000.*CONSTANTS(:,45))+(CONSTANTS(:,43) - STATES(:,7))./CONSTANTS(:,40);
    ALGEBRAIC(:,45) = ( CONSTANTS(:,35).*power(STATES(:,2), 2.00000))./(power(STATES(:,2), 2.00000)+power(CONSTANTS(:,36), 2.00000));
    ALGEBRAIC(:,47) =  (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,39))).*STATES(:,17);
    RATES(:,17) = ( 1.00000.*(ALGEBRAIC(:,45) - ALGEBRAIC(:,47)))./( 2.00000.*1.00000.*CONSTANTS(:,46).*CONSTANTS(:,3));
    ALGEBRAIC(:,24) = ALGEBRAIC(:,22)+ALGEBRAIC(:,23);
    ALGEBRAIC(:,27) = ALGEBRAIC(:,26)+ALGEBRAIC(:,25);
    ALGEBRAIC(:,48) = ALGEBRAIC(:,19)+ALGEBRAIC(:,20)+ALGEBRAIC(:,21)+ALGEBRAIC(:,24)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,43)+ALGEBRAIC(:,44)+ALGEBRAIC(:,46);
    RATES(:,1) =  - ALGEBRAIC(:,48)./CONSTANTS(:,4);
    ALGEBRAIC(:,49) = ( (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,38))).*STATES(:,18).*power(STATES(:,2), 2.00000))./(power(STATES(:,2), 2.00000)+power(CONSTANTS(:,37), 2.00000));
    RATES(:,2) = (  - 1.00000.*(((ALGEBRAIC(:,19)+ALGEBRAIC(:,20)) -  2.00000.*ALGEBRAIC(:,43))+ALGEBRAIC(:,45)+ - ALGEBRAIC(:,49)))./( 2.00000.*CONSTANTS(:,3).*1.00000.*CONSTANTS(:,34));
    RATES(:,18) = ( 1.00000.*(ALGEBRAIC(:,47) - ALGEBRAIC(:,49)))./( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3));
   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) = 1.00000./(1.00000+exp((STATES(:,1)+6.60000)./ - 6.60000));
    ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./6.00000));
    ALGEBRAIC(:,10) = 0.0310000+1.00000./(1.00000+exp((STATES(:,1)+37.6000)./8.10000));
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+23.0000)./ - 6.10000));
    ALGEBRAIC(:,11) = 0.000600000+0.00540000./(1.00000+exp( 0.0300000.*(STATES(:,1)+100.000)));
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+75.0000)./6.60000));
    ALGEBRAIC(:,12) = 0.00100000+0.0400000./(1.00000+exp( 0.0800000.*(STATES(:,1)+65.0000)));
    ALGEBRAIC(:,5) = ( 200.000.*(STATES(:,1)+34.3000))./(1.00000 - exp(  - 0.0900000.*(STATES(:,1)+34.3000)));
    ALGEBRAIC(:,13) =  8000.00.*exp(  - 0.150000.*(STATES(:,1)+56.2000));
    ALGEBRAIC(:,6) =  32.4000.*exp(  - 0.140000.*(STATES(:,1)+93.4000));
    ALGEBRAIC(:,14) = 709.000./(1.00000+ 4.20000.*exp(  - 0.0600000.*(STATES(:,1)+45.4000)));
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+25.1000)./ - 7.40000));
    ALGEBRAIC(:,15) = 1.00000./( 17.0000.*exp( 0.0398000.*STATES(:,1))+ 0.211000.*exp(  - 0.0510000.*STATES(:,1)));
    ALGEBRAIC(:,8) = ( 0.360000.*(STATES(:,1)+137.800))./(exp( 0.0660000.*(STATES(:,1)+137.800)) - 1.00000);
    ALGEBRAIC(:,16) = ( 0.100000.*(STATES(:,1)+76.3000))./(1.00000 - exp(  - 0.210000.*(STATES(:,1)+76.3000)));
    ALGEBRAIC(:,9) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(STATES(:,3)./STATES(:,2));
    ALGEBRAIC(:,19) =  CONSTANTS(:,5).*STATES(:,8).*STATES(:,9).*STATES(:,10).*((STATES(:,1) - ALGEBRAIC(:,9))+75.0000);
    ALGEBRAIC(:,20) =  CONSTANTS(:,9).*STATES(:,11).*STATES(:,12).*((STATES(:,1) - ALGEBRAIC(:,9))+75.0000);
    ALGEBRAIC(:,35) = exp((  - CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2)));
    ALGEBRAIC(:,33) = STATES(:,5)./(CONSTANTS(:,28)+STATES(:,5));
    ALGEBRAIC(:,29) = 1.00000+STATES(:,3)./CONSTANTS(:,31)+ (STATES(:,3)./CONSTANTS(:,31)).*exp(( CONSTANTS(:,22).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+STATES(:,5)./CONSTANTS(:,29)+power(STATES(:,5), 2.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30))+power(STATES(:,5), 3.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30).*CONSTANTS(:,28));
    ALGEBRAIC(:,31) = ( (power(STATES(:,5), 2.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30))+power(STATES(:,5), 3.00000)./( CONSTANTS(:,29).*CONSTANTS(:,30).*CONSTANTS(:,28))).*exp((  - CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,29);
    ALGEBRAIC(:,32) = ( (STATES(:,3)./CONSTANTS(:,31)).*exp((  - CONSTANTS(:,22).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,29);
    ALGEBRAIC(:,30) = exp(( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2)));
    ALGEBRAIC(:,38) = STATES(:,4)./(CONSTANTS(:,23)+STATES(:,4));
    ALGEBRAIC(:,39) =  ALGEBRAIC(:,35).*ALGEBRAIC(:,33).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,32))+ ALGEBRAIC(:,32).*ALGEBRAIC(:,30).*(ALGEBRAIC(:,38)+ALGEBRAIC(:,35));
    ALGEBRAIC(:,34) = 1.00000+STATES(:,2)./CONSTANTS(:,24)+ (STATES(:,2)./CONSTANTS(:,24)).*exp((  - CONSTANTS(:,20).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+( STATES(:,2).*STATES(:,4))./( CONSTANTS(:,24).*CONSTANTS(:,27))+STATES(:,4)./CONSTANTS(:,25)+power(STATES(:,4), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(STATES(:,4), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,23));
    ALGEBRAIC(:,37) = ( (STATES(:,2)./CONSTANTS(:,24)).*exp((  - CONSTANTS(:,20).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,34);
    ALGEBRAIC(:,36) = ( (power(STATES(:,4), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(STATES(:,4), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,23))).*exp(( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,1).*CONSTANTS(:,2))))./ALGEBRAIC(:,34);
    ALGEBRAIC(:,40) =  ALGEBRAIC(:,30).*ALGEBRAIC(:,38).*(ALGEBRAIC(:,36)+ALGEBRAIC(:,37))+ ALGEBRAIC(:,35).*ALGEBRAIC(:,37).*(ALGEBRAIC(:,33)+ALGEBRAIC(:,30));
    ALGEBRAIC(:,41) =  ALGEBRAIC(:,36).*ALGEBRAIC(:,38).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,32))+ ALGEBRAIC(:,37).*ALGEBRAIC(:,31).*(ALGEBRAIC(:,38)+ALGEBRAIC(:,35));
    ALGEBRAIC(:,42) =  ALGEBRAIC(:,31).*ALGEBRAIC(:,33).*(ALGEBRAIC(:,36)+ALGEBRAIC(:,37))+ ALGEBRAIC(:,36).*ALGEBRAIC(:,32).*(ALGEBRAIC(:,33)+ALGEBRAIC(:,30));
    ALGEBRAIC(:,43) = ( CONSTANTS(:,19).*( ALGEBRAIC(:,40).*ALGEBRAIC(:,32) -  ALGEBRAIC(:,39).*ALGEBRAIC(:,37)))./(ALGEBRAIC(:,39)+ALGEBRAIC(:,40)+ALGEBRAIC(:,41)+ALGEBRAIC(:,42));
    ALGEBRAIC(:,17) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,5)./STATES(:,4));
    ALGEBRAIC(:,21) =  CONSTANTS(:,10).*power(STATES(:,13), 3.00000).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,28) =  (( (( CONSTANTS(:,18).*STATES(:,4))./(STATES(:,4)+CONSTANTS(:,16))).*STATES(:,7))./(STATES(:,7)+CONSTANTS(:,17))).*(1.00000 - power((STATES(:,1) - 40.0000)./211.000, 2.00000));
    ALGEBRAIC(:,44) =  CONSTANTS(:,32).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,23) =  STATES(:,15).*CONSTANTS(:,11).*CONSTANTS(:,12).*power(STATES(:,7)./1.00000, 0.590000).*(STATES(:,4) -  STATES(:,5).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,25) =  (( STATES(:,16).*power(STATES(:,7), 1.83000))./(power(STATES(:,7), 1.83000)+power(CONSTANTS(:,13), 1.83000))).*CONSTANTS(:,14).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,46) =  CONSTANTS(:,33).*power(STATES(:,7)./1.00000, 0.410000).*(STATES(:,6) -  STATES(:,7).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,22) =  STATES(:,15).*CONSTANTS(:,11).*power(STATES(:,7)./1.00000, 0.590000).*(STATES(:,6) -  STATES(:,7).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,18) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,7)./STATES(:,6));
    ALGEBRAIC(:,26) =  (( STATES(:,16).*power(STATES(:,7), 1.83000))./(power(STATES(:,7), 1.83000)+power(CONSTANTS(:,13), 1.83000))).*CONSTANTS(:,15).*(STATES(:,1) - ALGEBRAIC(:,18));
    ALGEBRAIC(:,45) = ( CONSTANTS(:,35).*power(STATES(:,2), 2.00000))./(power(STATES(:,2), 2.00000)+power(CONSTANTS(:,36), 2.00000));
    ALGEBRAIC(:,47) =  (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,39))).*STATES(:,17);
    ALGEBRAIC(:,24) = ALGEBRAIC(:,22)+ALGEBRAIC(:,23);
    ALGEBRAIC(:,27) = ALGEBRAIC(:,26)+ALGEBRAIC(:,25);
    ALGEBRAIC(:,48) = ALGEBRAIC(:,19)+ALGEBRAIC(:,20)+ALGEBRAIC(:,21)+ALGEBRAIC(:,24)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,43)+ALGEBRAIC(:,44)+ALGEBRAIC(:,46);
    ALGEBRAIC(:,49) = ( (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,38))).*STATES(:,18).*power(STATES(:,2), 2.00000))./(power(STATES(:,2), 2.00000)+power(CONSTANTS(:,37), 2.00000));
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