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 =41;
end
% There are a total of 27 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 (second)');
    LEGEND_CONSTANTS(:,1) = strpad('RT in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_CONSTANTS(:,2) = strpad('F in component fixed_parameters (kilojoule_per_mole_per_millivolt)');
    LEGEND_CONSTANTS(:,3) = strpad('dG_C1o in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_CONSTANTS(:,4) = strpad('dG_C3o in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_CONSTANTS(:,5) = strpad('dG_C4o in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_ALGEBRAIC(:,4) = strpad('dG_C1op in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_ALGEBRAIC(:,7) = strpad('dG_C3op in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_ALGEBRAIC(:,8) = strpad('dG_C4op in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_CONSTANTS(:,6) = strpad('dG_F1o in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_ALGEBRAIC(:,1) = strpad('dG_H in component fixed_parameters (kilojoule_per_mole)');
    LEGEND_CONSTANTS(:,7) = strpad('k_dHPI in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,8) = strpad('k_dHatp in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,9) = strpad('k_dHadp in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,10) = strpad('K_DT in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,11) = strpad('K_DD in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,12) = strpad('K_AK in component fixed_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('K_CK in component fixed_parameters (per_molar)');
    LEGEND_CONSTANTS(:,14) = strpad('W_c in component fixed_parameters (l_water_per_l_cyto)');
    LEGEND_CONSTANTS(:,15) = strpad('W_x in component fixed_parameters (l_water_per_l_mito)');
    LEGEND_CONSTANTS(:,16) = strpad('W_i in component fixed_parameters (l_water_per_l_mito)');
    LEGEND_CONSTANTS(:,17) = strpad('V_cyto in component fixed_parameters (cyto_per_cell)');
    LEGEND_CONSTANTS(:,18) = strpad('V_mito in component fixed_parameters (mito_per_cell)');
    LEGEND_CONSTANTS(:,62) = strpad('Rm_cyto in component fixed_parameters (mito_per_cyto)');
    LEGEND_CONSTANTS(:,59) = strpad('Rm_cell in component fixed_parameters (mito_per_cell)');
    LEGEND_CONSTANTS(:,64) = strpad('Rc_cell in component fixed_parameters (cyto_per_cell)');
    LEGEND_CONSTANTS(:,19) = strpad('n_A in component fixed_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,20) = strpad('C_tot in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,21) = strpad('CR_tot in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,22) = strpad('Q_tot in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,23) = strpad('NAD_tot in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,24) = strpad('pH_C in component fixed_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,60) = strpad('H_c in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,25) = strpad('K_c in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,26) = strpad('ATP_c in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,27) = strpad('AMP_c in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,63) = strpad('H_i in component fixed_parameters (molar)');
    LEGEND_CONSTANTS(:,61) = strpad('K_i in component fixed_parameters (molar)');
    LEGEND_STATES(:,1) = strpad('H_x in component dH_x_dt (molar)');
    LEGEND_STATES(:,2) = strpad('deltaPsi in component ddeltaPsi_dt (millivolt)');
    LEGEND_CONSTANTS(:,28) = strpad('k_PI1 in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,29) = strpad('k_PI2 in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,30) = strpad('k_PI3 in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,31) = strpad('k_PI4 in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,32) = strpad('k_PIH in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,33) = strpad('r in component adjustable_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,34) = strpad('X_DH in component adjustable_parameters (mole_per_second_per_l_mito_per_molar)');
    LEGEND_CONSTANTS(:,35) = strpad('X_C1 in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_molar)');
    LEGEND_CONSTANTS(:,36) = strpad('X_C3 in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_half_molar)');
    LEGEND_CONSTANTS(:,37) = strpad('X_C4 in component adjustable_parameters (mole_per_second_per_l_mito_per_molar)');
    LEGEND_CONSTANTS(:,38) = strpad('X_F1 in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_molar)');
    LEGEND_CONSTANTS(:,39) = strpad('X_ANT in component adjustable_parameters (mole_per_second_per_l_mito_per_molar)');
    LEGEND_CONSTANTS(:,40) = strpad('X_PI1 in component adjustable_parameters (mole_per_second_per_l_mito_per_molar)');
    LEGEND_CONSTANTS(:,41) = strpad('X_KH in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_molar)');
    LEGEND_CONSTANTS(:,42) = strpad('X_Hle in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_millivolt)');
    LEGEND_CONSTANTS(:,43) = strpad('X_K in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_millivolt)');
    LEGEND_CONSTANTS(:,44) = strpad('k_mADP in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,45) = strpad('X_AK in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_molar)');
    LEGEND_CONSTANTS(:,46) = strpad('X_CK in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_molar)');
    LEGEND_CONSTANTS(:,47) = strpad('X_MgA in component adjustable_parameters (mole_per_second_per_l_mito_per_molar_per_molar)');
    LEGEND_CONSTANTS(:,48) = strpad('k_O2 in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,49) = strpad('beta in component adjustable_parameters (molar)');
    LEGEND_CONSTANTS(:,50) = strpad('C_IM in component adjustable_parameters (mole_per_l_mito_per_millivolt)');
    LEGEND_CONSTANTS(:,51) = strpad('X_A in component adjustable_parameters (micron_per_second)');
    LEGEND_CONSTANTS(:,52) = strpad('X_PI2 in component adjustable_parameters (micron_per_second)');
    LEGEND_CONSTANTS(:,53) = strpad('gamma in component adjustable_parameters (per_micron)');
    LEGEND_ALGEBRAIC(:,9) = strpad('NAD_x in component dNAD_x_dt (molar)');
    LEGEND_STATES(:,3) = strpad('NADH_x in component dNADH_x_dt (molar)');
    LEGEND_ALGEBRAIC(:,10) = strpad('QH2_x in component dQH2_x_dt (molar)');
    LEGEND_STATES(:,4) = strpad('Q_x in component dQ_x_dt (molar)');
    LEGEND_ALGEBRAIC(:,11) = strpad('Cred_x in component dCred_x_dt (molar)');
    LEGEND_STATES(:,5) = strpad('Cox_x in component dCox_x_dt (molar)');
    LEGEND_ALGEBRAIC(:,12) = strpad('ATP_fx in component dATP_fx_dt (molar)');
    LEGEND_STATES(:,6) = strpad('ATP_x in component dATP_x_dt (molar)');
    LEGEND_STATES(:,7) = strpad('ATP_mx in component dATP_mx_dt (molar)');
    LEGEND_ALGEBRAIC(:,13) = strpad('ADP_fx in component dADP_fx_dt (molar)');
    LEGEND_STATES(:,8) = strpad('ADP_x in component dADP_x_dt (molar)');
    LEGEND_STATES(:,9) = strpad('ADP_mx in component dADP_mx_dt (molar)');
    LEGEND_ALGEBRAIC(:,20) = strpad('J_DH in component J_DH (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,22) = strpad('J_C1 in component J_C1 (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,23) = strpad('J_C3 in component J_C3 (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,24) = strpad('J_C4 in component J_C4 (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,25) = strpad('J_F1 in component J_F1 (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,33) = strpad('J_PI1 in component J_PI1 (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,39) = strpad('J_KH in component J_KH (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,35) = strpad('J_Hle in component J_Hle (mole_per_second_per_l_mito)');
    LEGEND_STATES(:,10) = strpad('K_x in component dK_x_dt (molar)');
    LEGEND_ALGEBRAIC(:,41) = strpad('J_K in component J_K (mole_per_second_per_l_mito)');
    LEGEND_STATES(:,11) = strpad('Mg_x in component dMg_x_dt (molar)');
    LEGEND_ALGEBRAIC(:,15) = strpad('J_MgATP_x in component J_MgATP_x (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,17) = strpad('J_MgADP_x in component J_MgADP_x (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,28) = strpad('J_ANT in component J_ANT (mole_per_second_per_l_mito)');
    LEGEND_STATES(:,12) = strpad('PI_x in component dPI_x_dt (molar)');
    LEGEND_ALGEBRAIC(:,14) = strpad('ATP_fi in component dATP_fi_dt (molar)');
    LEGEND_STATES(:,13) = strpad('ATP_i in component dATP_i_dt (molar)');
    LEGEND_STATES(:,14) = strpad('ATP_mi in component dATP_mi_dt (molar)');
    LEGEND_ALGEBRAIC(:,16) = strpad('ADP_fi in component dADP_fi_dt (molar)');
    LEGEND_STATES(:,15) = strpad('ADP_i in component dADP_i_dt (molar)');
    LEGEND_STATES(:,16) = strpad('ADP_mi in component dADP_mi_dt (molar)');
    LEGEND_ALGEBRAIC(:,34) = strpad('J_ATP in component J_ATP (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,36) = strpad('J_AKi in component J_AKi (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,32) = strpad('J_ADP in component J_ADP (mole_per_second_per_l_mito)');
    LEGEND_STATES(:,17) = strpad('AMP_i in component dAMP_i_dt (molar)');
    LEGEND_ALGEBRAIC(:,30) = strpad('J_AMP in component J_AMP (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,19) = strpad('J_MgATP_i in component J_MgATP_i (mole_per_second_per_l_mito)');
    LEGEND_ALGEBRAIC(:,21) = strpad('J_MgADP_i in component J_MgADP_i (mole_per_second_per_l_mito)');
    LEGEND_STATES(:,18) = strpad('PI_i in component dPI_i_dt (molar)');
    LEGEND_ALGEBRAIC(:,37) = strpad('J_PI2 in component J_PI2 (mole_per_second_per_l_mito)');
    LEGEND_STATES(:,19) = strpad('Mg_i in component dMg_i_dt (molar)');
    LEGEND_STATES(:,20) = strpad('ATP_c in component dATP_c_dt (molar)');
    LEGEND_ALGEBRAIC(:,38) = strpad('J_AKc in component J_AKc (mole_per_second_per_l_cyto)');
    LEGEND_CONSTANTS(:,65) = strpad('J_AtC in component J_AtC (mole_per_second_per_l_cell)');
    LEGEND_ALGEBRAIC(:,40) = strpad('J_CKc in component J_CKc (mole_per_second_per_l_cyto)');
    LEGEND_STATES(:,21) = strpad('ADP_c in component dADP_c_dt (molar)');
    LEGEND_STATES(:,22) = strpad('AMP_c in component dAMP_c_dt (molar)');
    LEGEND_STATES(:,23) = strpad('ATP_mc in component dATP_mc_dt (molar)');
    LEGEND_ALGEBRAIC(:,5) = strpad('J_MgATP_c in component J_MgATP_c (mole_per_second_per_l_cyto)');
    LEGEND_STATES(:,24) = strpad('ADP_mc in component dADP_mc_dt (molar)');
    LEGEND_ALGEBRAIC(:,6) = strpad('J_MgADP_c in component J_MgADP_c (mole_per_second_per_l_cyto)');
    LEGEND_STATES(:,25) = strpad('PI_c in component dPI_c_dt (molar)');
    LEGEND_STATES(:,26) = strpad('Mg_c in component dMg_c_dt (molar)');
    LEGEND_STATES(:,27) = strpad('PCr_c in component dPCr_c_dt (molar)');
    LEGEND_ALGEBRAIC(:,2) = strpad('ATP_fc in component dATP_fc_dt (molar)');
    LEGEND_ALGEBRAIC(:,3) = strpad('ADP_fc in component dADP_fc_dt (molar)');
    LEGEND_ALGEBRAIC(:,18) = strpad('Cr_c in component dCr_c_dt (molar)');
    LEGEND_CONSTANTS(:,54) = strpad('O2_x in component J_C4 (molar)');
    LEGEND_CONSTANTS(:,55) = strpad('mincon in component J_ANT (molar)');
    LEGEND_ALGEBRAIC(:,26) = strpad('Psi_x in component J_ANT (millivolt)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Psi_i in component J_ANT (millivolt)');
    LEGEND_ALGEBRAIC(:,29) = strpad('H2PIi in component J_PI1 (molar)');
    LEGEND_ALGEBRAIC(:,31) = strpad('H2PIx in component J_PI1 (molar)');
    LEGEND_CONSTANTS(:,56) = strpad('mincond in component J_Hle (millivolt)');
    LEGEND_CONSTANTS(:,57) = strpad('mincond in component J_K (millivolt)');
    LEGEND_CONSTANTS(:,58) = strpad('X_AtC in component J_AtC (mole_per_second_per_l_cell)');
    LEGEND_RATES(:,1) = strpad('d/dt H_x in component dH_x_dt (molar)');
    LEGEND_RATES(:,10) = strpad('d/dt K_x in component dK_x_dt (molar)');
    LEGEND_RATES(:,11) = strpad('d/dt Mg_x in component dMg_x_dt (molar)');
    LEGEND_RATES(:,3) = strpad('d/dt NADH_x in component dNADH_x_dt (molar)');
    LEGEND_RATES(:,4) = strpad('d/dt Q_x in component dQ_x_dt (molar)');
    LEGEND_RATES(:,5) = strpad('d/dt Cox_x in component dCox_x_dt (molar)');
    LEGEND_RATES(:,6) = strpad('d/dt ATP_x in component dATP_x_dt (molar)');
    LEGEND_RATES(:,8) = strpad('d/dt ADP_x in component dADP_x_dt (molar)');
    LEGEND_RATES(:,7) = strpad('d/dt ATP_mx in component dATP_mx_dt (molar)');
    LEGEND_RATES(:,9) = strpad('d/dt ADP_mx in component dADP_mx_dt (molar)');
    LEGEND_RATES(:,12) = strpad('d/dt PI_x in component dPI_x_dt (molar)');
    LEGEND_RATES(:,13) = strpad('d/dt ATP_i in component dATP_i_dt (molar)');
    LEGEND_RATES(:,15) = strpad('d/dt ADP_i in component dADP_i_dt (molar)');
    LEGEND_RATES(:,17) = strpad('d/dt AMP_i in component dAMP_i_dt (molar)');
    LEGEND_RATES(:,14) = strpad('d/dt ATP_mi in component dATP_mi_dt (molar)');
    LEGEND_RATES(:,16) = strpad('d/dt ADP_mi in component dADP_mi_dt (molar)');
    LEGEND_RATES(:,18) = strpad('d/dt PI_i in component dPI_i_dt (molar)');
    LEGEND_RATES(:,19) = strpad('d/dt Mg_i in component dMg_i_dt (molar)');
    LEGEND_RATES(:,20) = strpad('d/dt ATP_c in component dATP_c_dt (molar)');
    LEGEND_RATES(:,21) = strpad('d/dt ADP_c in component dADP_c_dt (molar)');
    LEGEND_RATES(:,22) = strpad('d/dt AMP_c in component dAMP_c_dt (molar)');
    LEGEND_RATES(:,23) = strpad('d/dt ATP_mc in component dATP_mc_dt (molar)');
    LEGEND_RATES(:,24) = strpad('d/dt ADP_mc in component dADP_mc_dt (molar)');
    LEGEND_RATES(:,25) = strpad('d/dt PI_c in component dPI_c_dt (molar)');
    LEGEND_RATES(:,26) = strpad('d/dt Mg_c in component dMg_c_dt (molar)');
    LEGEND_RATES(:,27) = strpad('d/dt PCr_c in component dPCr_c_dt (molar)');
    LEGEND_RATES(:,2) = strpad('d/dt deltaPsi in component ddeltaPsi_dt (millivolt)');
    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) = 2.5775;
    CONSTANTS(:,2) = 0.096484;
    CONSTANTS(:,3) = -69.37;
    CONSTANTS(:,4) = -32.53;
    CONSTANTS(:,5) = -122.94;
    CONSTANTS(:,6) = 36.03;
    CONSTANTS(:,7) = 1.7782754100389227e-7;
    CONSTANTS(:,8) = 3.311311214825911e-7;
    CONSTANTS(:,9) = 5.128613839913649e-7;
    CONSTANTS(:,10) = 24e-6;
    CONSTANTS(:,11) = 347e-6;
    CONSTANTS(:,12) = 0.4331;
    CONSTANTS(:,13) = 1.66e9;
    CONSTANTS(:,14) = 0.8425;
    CONSTANTS(:,15) = 0.6514;
    CONSTANTS(:,16) = 0.0724;
    CONSTANTS(:,17) = 0.894;
    CONSTANTS(:,18) = 0.056;
    CONSTANTS(:,19) = 3;
    CONSTANTS(:,20) = 2.7e-3;
    CONSTANTS(:,21) = 42.7e-3;
    CONSTANTS(:,22) = 1.35e-3;
    CONSTANTS(:,23) = 2.97e-3;
    CONSTANTS(:,24) = 7;
    CONSTANTS(:,25) = 0.15;
    CONSTANTS(:,26) = 0;
    CONSTANTS(:,27) = 0;
    STATES(:,1) = 1e-7;
    STATES(:,2) = 166.67;
    CONSTANTS(:,28) = 0.1553e-3;
    CONSTANTS(:,29) = 0.8222e-3;
    CONSTANTS(:,30) = 0.3601e-3;
    CONSTANTS(:,31) = 5.924e-3;
    CONSTANTS(:,32) = 2.542e-4;
    CONSTANTS(:,33) = 4.599;
    CONSTANTS(:,34) = 0.0866;
    CONSTANTS(:,35) = 4.405e3;
    CONSTANTS(:,36) = 4.887;
    CONSTANTS(:,37) = 6.766e-5;
    CONSTANTS(:,38) = 1e3;
    CONSTANTS(:,39) = 8.123e-3;
    CONSTANTS(:,40) = 3.85e5;
    CONSTANTS(:,41) = 5.651e7;
    CONSTANTS(:,42) = 200;
    CONSTANTS(:,43) = 0;
    CONSTANTS(:,44) = 3.5e-6;
    CONSTANTS(:,45) = 1e7;
    CONSTANTS(:,46) = 1e7;
    CONSTANTS(:,47) = 1e7;
    CONSTANTS(:,48) = 1.2e-4;
    CONSTANTS(:,49) = 0.01;
    CONSTANTS(:,50) = 6.75e-6;
    CONSTANTS(:,51) = 85;
    CONSTANTS(:,52) = 327;
    CONSTANTS(:,53) = 5.99;
    STATES(:,3) = 0.0015723;
    STATES(:,4) = 6.75e-4;
    STATES(:,5) = 1.35e-3;
    STATES(:,6) = 0.0026657;
    STATES(:,7) = 0.0026046;
    STATES(:,8) = 0.0073343;
    STATES(:,9) = 0.0054765;
    STATES(:,10) = 0.14661;
    STATES(:,11) = 1.0229e-3;
    STATES(:,12) = 1.72e-4;
    STATES(:,13) = 0.0065339;
    STATES(:,14) = 0.0063812;
    STATES(:,15) = 6.5773e-5;
    STATES(:,16) = 4.8866e-5;
    STATES(:,17) = 2.8837e-7;
    STATES(:,18) = 1.72e-4;
    STATES(:,19) = 0.0010029;
    STATES(:,20) = 0.0081312;
    STATES(:,21) = 6.85e-5;
    STATES(:,22) = 3.0911e-7;
    STATES(:,23) = 0.0079786;
    STATES(:,24) = 5.1958e-5;
    STATES(:,25) = 8.7702e-3;
    STATES(:,26) = 0.001003;
    STATES(:,27) = 23.589e-3;
    CONSTANTS(:,54) = 0;
    CONSTANTS(:,55) = 1e-9;
    CONSTANTS(:,56) = 1e-6;
    CONSTANTS(:,57) = 1e-6;
    CONSTANTS(:,58) = 0;
    CONSTANTS(:,59) = CONSTANTS(:,18);
    CONSTANTS(:,60) =  1.00000.*power(10.0000,  - CONSTANTS(:,24));
    CONSTANTS(:,61) = CONSTANTS(:,25);
    CONSTANTS(:,62) = CONSTANTS(:,18)./CONSTANTS(:,17);
    CONSTANTS(:,63) = CONSTANTS(:,60);
    CONSTANTS(:,64) = CONSTANTS(:,17);
    CONSTANTS(:,65) = CONSTANTS(:,58);
    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) = STATES(:,20) - STATES(:,23);
    ALGEBRAIC(:,5) =  CONSTANTS(:,47).*( ALGEBRAIC(:,2).*STATES(:,26) -  CONSTANTS(:,10).*STATES(:,23));
    RATES(:,23) = ALGEBRAIC(:,5)./CONSTANTS(:,14);
    ALGEBRAIC(:,3) = STATES(:,21) - STATES(:,24);
    ALGEBRAIC(:,6) =  CONSTANTS(:,47).*( ALGEBRAIC(:,3).*STATES(:,26) -  CONSTANTS(:,11).*STATES(:,24));
    RATES(:,24) = ALGEBRAIC(:,6)./CONSTANTS(:,14);
    RATES(:,26) = ( - ALGEBRAIC(:,5) - ALGEBRAIC(:,5))./CONSTANTS(:,14);
    ALGEBRAIC(:,12) = STATES(:,6) - STATES(:,7);
    ALGEBRAIC(:,15) =  CONSTANTS(:,47).*( ALGEBRAIC(:,12).*STATES(:,11) -  CONSTANTS(:,10).*STATES(:,7));
    RATES(:,7) = ALGEBRAIC(:,15)./CONSTANTS(:,15);
    ALGEBRAIC(:,13) = STATES(:,8) - STATES(:,9);
    ALGEBRAIC(:,17) =  CONSTANTS(:,47).*( ALGEBRAIC(:,13).*STATES(:,11) -  CONSTANTS(:,11).*STATES(:,9));
    RATES(:,11) = ( - ALGEBRAIC(:,17) - ALGEBRAIC(:,15))./CONSTANTS(:,15);
    RATES(:,9) = ALGEBRAIC(:,17)./CONSTANTS(:,15);
    ALGEBRAIC(:,14) = STATES(:,13) - STATES(:,14);
    ALGEBRAIC(:,19) =  CONSTANTS(:,47).*( ALGEBRAIC(:,14).*STATES(:,19) -  CONSTANTS(:,10).*STATES(:,14));
    RATES(:,14) = ALGEBRAIC(:,19)./CONSTANTS(:,16);
    ALGEBRAIC(:,16) = STATES(:,15) - STATES(:,16);
    ALGEBRAIC(:,21) =  CONSTANTS(:,47).*( ALGEBRAIC(:,16).*STATES(:,19) -  CONSTANTS(:,11).*STATES(:,16));
    RATES(:,16) = ALGEBRAIC(:,21)./CONSTANTS(:,16);
    RATES(:,19) = ( - ALGEBRAIC(:,21) - ALGEBRAIC(:,19))./CONSTANTS(:,16);
    ALGEBRAIC(:,9) = CONSTANTS(:,23) - STATES(:,3);
    ALGEBRAIC(:,20) = ( CONSTANTS(:,34).*( CONSTANTS(:,33).*ALGEBRAIC(:,9) - STATES(:,3)).*(1.00000+STATES(:,12)./CONSTANTS(:,28)))./(1.00000+STATES(:,12)./CONSTANTS(:,29));
    ALGEBRAIC(:,4) = CONSTANTS(:,3) -  1.00000.*CONSTANTS(:,1).*arbitrary_log( (STATES(:,1)./1.00000).*power(10.0000, 7.00000), 10);
    ALGEBRAIC(:,1) =  CONSTANTS(:,2).*STATES(:,2)+ CONSTANTS(:,1).*arbitrary_log(CONSTANTS(:,63)./STATES(:,1), 10);
    ALGEBRAIC(:,10) = CONSTANTS(:,22) - STATES(:,4);
    ALGEBRAIC(:,22) =  CONSTANTS(:,35).*( exp( - (ALGEBRAIC(:,4)+ 4.00000.*ALGEBRAIC(:,1))./CONSTANTS(:,1)).*STATES(:,3).*STATES(:,4) -  ALGEBRAIC(:,9).*ALGEBRAIC(:,10));
    RATES(:,3) = (ALGEBRAIC(:,20) - ALGEBRAIC(:,22))./CONSTANTS(:,15);
    ALGEBRAIC(:,7) = CONSTANTS(:,4)+ 2.00000.*CONSTANTS(:,1).*arbitrary_log( (STATES(:,1)./1.00000).*power(10.0000, 7.00000), 10);
    ALGEBRAIC(:,11) = CONSTANTS(:,20) - STATES(:,5);
    ALGEBRAIC(:,23) =  (( CONSTANTS(:,36).*(1.00000+STATES(:,12)./CONSTANTS(:,30)))./(1.00000+STATES(:,12)./CONSTANTS(:,31))).*( exp( - ((ALGEBRAIC(:,7)+ 4.00000.*ALGEBRAIC(:,1)) -  2.00000.*CONSTANTS(:,2).*STATES(:,2))./( 2.00000.*CONSTANTS(:,1))).*STATES(:,5).*power(ALGEBRAIC(:,10), 1.0 ./ 2) -  ALGEBRAIC(:,11).*power(STATES(:,4), 1.0 ./ 2));
    RATES(:,4) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,23))./CONSTANTS(:,15);
    ALGEBRAIC(:,8) = CONSTANTS(:,5) -  2.00000.*CONSTANTS(:,1).*arbitrary_log( (STATES(:,1)./1.00000).*power(10.0000, 7.00000), 10);
    ALGEBRAIC(:,24) = piecewise({CONSTANTS(:,54)<1.00000e-12, 0.00000 },  (( (( CONSTANTS(:,37).*CONSTANTS(:,54))./(CONSTANTS(:,54)+CONSTANTS(:,48))).*ALGEBRAIC(:,11))./CONSTANTS(:,20)).*( exp( - (ALGEBRAIC(:,8)+ 2.00000.*ALGEBRAIC(:,1))./( 2.00000.*CONSTANTS(:,1))).*ALGEBRAIC(:,11).*power(CONSTANTS(:,54), 0.250000) -  STATES(:,5).*exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1))));
    RATES(:,5) = ( 2.00000.*ALGEBRAIC(:,23) -  2.00000.*ALGEBRAIC(:,24))./CONSTANTS(:,15);
    ALGEBRAIC(:,25) =  CONSTANTS(:,38).*( (( exp( - (CONSTANTS(:,6) -  CONSTANTS(:,19).*ALGEBRAIC(:,1))./CONSTANTS(:,1)).*CONSTANTS(:,11))./CONSTANTS(:,10)).*STATES(:,9).*STATES(:,12) -  STATES(:,7).*1.00000);
    ALGEBRAIC(:,26) =   - 0.650000.*STATES(:,2);
    ALGEBRAIC(:,27) =  0.350000.*STATES(:,2);
    ALGEBRAIC(:,28) = piecewise({ALGEBRAIC(:,16)>CONSTANTS(:,55)&ALGEBRAIC(:,14)>CONSTANTS(:,55), ( CONSTANTS(:,39).*(ALGEBRAIC(:,16)./(ALGEBRAIC(:,16)+ ALGEBRAIC(:,14).*exp((  - CONSTANTS(:,2).*ALGEBRAIC(:,27))./CONSTANTS(:,1))) - ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*exp((  - CONSTANTS(:,2).*ALGEBRAIC(:,26))./CONSTANTS(:,1)))).*ALGEBRAIC(:,16))./(ALGEBRAIC(:,16)+CONSTANTS(:,44)) }, 0.00000);
    RATES(:,6) = (ALGEBRAIC(:,25) - ALGEBRAIC(:,28))./CONSTANTS(:,15);
    RATES(:,8) = ( - ALGEBRAIC(:,25)+ALGEBRAIC(:,28))./CONSTANTS(:,15);
    ALGEBRAIC(:,29) = ( STATES(:,18).*CONSTANTS(:,63))./(CONSTANTS(:,63)+CONSTANTS(:,7));
    ALGEBRAIC(:,31) = ( STATES(:,12).*STATES(:,1))./(STATES(:,1)+CONSTANTS(:,7));
    ALGEBRAIC(:,33) = ( CONSTANTS(:,40).*( CONSTANTS(:,63).*ALGEBRAIC(:,29) -  STATES(:,1).*ALGEBRAIC(:,31)))./(ALGEBRAIC(:,29)+CONSTANTS(:,32));
    RATES(:,12) = ( - ALGEBRAIC(:,25) - ALGEBRAIC(:,33))./CONSTANTS(:,15);
    ALGEBRAIC(:,34) =  CONSTANTS(:,53).*CONSTANTS(:,51).*(STATES(:,20) - STATES(:,13));
    ALGEBRAIC(:,36) =  CONSTANTS(:,45).*( CONSTANTS(:,12).*STATES(:,15).*STATES(:,15) -  STATES(:,17).*STATES(:,13));
    RATES(:,13) = (ALGEBRAIC(:,34)+ALGEBRAIC(:,28)+ALGEBRAIC(:,36))./CONSTANTS(:,16);
    ALGEBRAIC(:,32) =  CONSTANTS(:,53).*CONSTANTS(:,51).*(STATES(:,21) - STATES(:,15));
    RATES(:,15) = ((ALGEBRAIC(:,32) - ALGEBRAIC(:,28)) -  2.00000.*ALGEBRAIC(:,36))./CONSTANTS(:,16);
    ALGEBRAIC(:,30) =  CONSTANTS(:,53).*CONSTANTS(:,51).*(STATES(:,22) - STATES(:,17));
    RATES(:,17) = (ALGEBRAIC(:,30)+ALGEBRAIC(:,36))./CONSTANTS(:,16);
    ALGEBRAIC(:,37) =  CONSTANTS(:,53).*CONSTANTS(:,52).*(STATES(:,25) - STATES(:,18));
    RATES(:,18) = ( - ALGEBRAIC(:,33)+ALGEBRAIC(:,37))./CONSTANTS(:,16);
    ALGEBRAIC(:,38) =  CONSTANTS(:,45).*( CONSTANTS(:,12).*STATES(:,21).*STATES(:,21) -  STATES(:,22).*STATES(:,20));
    RATES(:,22) = (  - CONSTANTS(:,62).*ALGEBRAIC(:,30)+ALGEBRAIC(:,38))./CONSTANTS(:,14);
    RATES(:,25) = (  - ALGEBRAIC(:,37).*CONSTANTS(:,62)+CONSTANTS(:,65)./CONSTANTS(:,64))./CONSTANTS(:,14);
    ALGEBRAIC(:,39) =  CONSTANTS(:,41).*( CONSTANTS(:,61).*STATES(:,1) -  STATES(:,10).*CONSTANTS(:,63));
    ALGEBRAIC(:,35) = piecewise({abs(STATES(:,2))>CONSTANTS(:,56), ( CONSTANTS(:,42).*STATES(:,2).*( CONSTANTS(:,63).*exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - STATES(:,1)))./(exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - 1.00000) }, ( CONSTANTS(:,42).*CONSTANTS(:,1).*(CONSTANTS(:,63) - STATES(:,1)))./CONSTANTS(:,2));
    RATES(:,1) = ( (STATES(:,1)./CONSTANTS(:,49)).*((((((ALGEBRAIC(:,20) -  5.00000.*ALGEBRAIC(:,22)) -  2.00000.*ALGEBRAIC(:,23)) -  4.00000.*ALGEBRAIC(:,24))+ (CONSTANTS(:,19) - 1.00000).*ALGEBRAIC(:,25)+ 2.00000.*ALGEBRAIC(:,33)) - ALGEBRAIC(:,39))+ALGEBRAIC(:,35)))./CONSTANTS(:,15);
    ALGEBRAIC(:,18) = CONSTANTS(:,21) - STATES(:,27);
    ALGEBRAIC(:,40) =  CONSTANTS(:,46).*( CONSTANTS(:,13).*STATES(:,21).*STATES(:,27).*CONSTANTS(:,60) -  STATES(:,20).*ALGEBRAIC(:,18));
    RATES(:,20) = (((  - CONSTANTS(:,62).*ALGEBRAIC(:,34)+ALGEBRAIC(:,38)) - CONSTANTS(:,65)./CONSTANTS(:,64))+ALGEBRAIC(:,40))./CONSTANTS(:,14);
    RATES(:,21) = (((  - CONSTANTS(:,62).*ALGEBRAIC(:,32) -  2.00000.*ALGEBRAIC(:,38))+CONSTANTS(:,65)./CONSTANTS(:,64)) - ALGEBRAIC(:,40))./CONSTANTS(:,14);
    RATES(:,27) =  - ALGEBRAIC(:,40)./CONSTANTS(:,14);
    ALGEBRAIC(:,41) = piecewise({abs(STATES(:,2))>CONSTANTS(:,57), ( CONSTANTS(:,43).*STATES(:,2).*( CONSTANTS(:,61).*exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - STATES(:,10)))./(exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - 1.00000) }, ( CONSTANTS(:,43).*CONSTANTS(:,1).*(CONSTANTS(:,61) - STATES(:,10)))./CONSTANTS(:,2));
    RATES(:,10) = (ALGEBRAIC(:,39)+ALGEBRAIC(:,41))./CONSTANTS(:,15);
    RATES(:,2) = ((((( 4.00000.*ALGEBRAIC(:,22)+ 2.00000.*ALGEBRAIC(:,23)+ 4.00000.*ALGEBRAIC(:,24)) -  CONSTANTS(:,19).*ALGEBRAIC(:,25)) - ALGEBRAIC(:,28)) - ALGEBRAIC(:,35)) - ALGEBRAIC(:,41))./CONSTANTS(:,50);
   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) = STATES(:,20) - STATES(:,23);
    ALGEBRAIC(:,5) =  CONSTANTS(:,47).*( ALGEBRAIC(:,2).*STATES(:,26) -  CONSTANTS(:,10).*STATES(:,23));
    ALGEBRAIC(:,3) = STATES(:,21) - STATES(:,24);
    ALGEBRAIC(:,6) =  CONSTANTS(:,47).*( ALGEBRAIC(:,3).*STATES(:,26) -  CONSTANTS(:,11).*STATES(:,24));
    ALGEBRAIC(:,12) = STATES(:,6) - STATES(:,7);
    ALGEBRAIC(:,15) =  CONSTANTS(:,47).*( ALGEBRAIC(:,12).*STATES(:,11) -  CONSTANTS(:,10).*STATES(:,7));
    ALGEBRAIC(:,13) = STATES(:,8) - STATES(:,9);
    ALGEBRAIC(:,17) =  CONSTANTS(:,47).*( ALGEBRAIC(:,13).*STATES(:,11) -  CONSTANTS(:,11).*STATES(:,9));
    ALGEBRAIC(:,14) = STATES(:,13) - STATES(:,14);
    ALGEBRAIC(:,19) =  CONSTANTS(:,47).*( ALGEBRAIC(:,14).*STATES(:,19) -  CONSTANTS(:,10).*STATES(:,14));
    ALGEBRAIC(:,16) = STATES(:,15) - STATES(:,16);
    ALGEBRAIC(:,21) =  CONSTANTS(:,47).*( ALGEBRAIC(:,16).*STATES(:,19) -  CONSTANTS(:,11).*STATES(:,16));
    ALGEBRAIC(:,9) = CONSTANTS(:,23) - STATES(:,3);
    ALGEBRAIC(:,20) = ( CONSTANTS(:,34).*( CONSTANTS(:,33).*ALGEBRAIC(:,9) - STATES(:,3)).*(1.00000+STATES(:,12)./CONSTANTS(:,28)))./(1.00000+STATES(:,12)./CONSTANTS(:,29));
    ALGEBRAIC(:,4) = CONSTANTS(:,3) -  1.00000.*CONSTANTS(:,1).*arbitrary_log( (STATES(:,1)./1.00000).*power(10.0000, 7.00000), 10);
    ALGEBRAIC(:,1) =  CONSTANTS(:,2).*STATES(:,2)+ CONSTANTS(:,1).*arbitrary_log(CONSTANTS(:,63)./STATES(:,1), 10);
    ALGEBRAIC(:,10) = CONSTANTS(:,22) - STATES(:,4);
    ALGEBRAIC(:,22) =  CONSTANTS(:,35).*( exp( - (ALGEBRAIC(:,4)+ 4.00000.*ALGEBRAIC(:,1))./CONSTANTS(:,1)).*STATES(:,3).*STATES(:,4) -  ALGEBRAIC(:,9).*ALGEBRAIC(:,10));
    ALGEBRAIC(:,7) = CONSTANTS(:,4)+ 2.00000.*CONSTANTS(:,1).*arbitrary_log( (STATES(:,1)./1.00000).*power(10.0000, 7.00000), 10);
    ALGEBRAIC(:,11) = CONSTANTS(:,20) - STATES(:,5);
    ALGEBRAIC(:,23) =  (( CONSTANTS(:,36).*(1.00000+STATES(:,12)./CONSTANTS(:,30)))./(1.00000+STATES(:,12)./CONSTANTS(:,31))).*( exp( - ((ALGEBRAIC(:,7)+ 4.00000.*ALGEBRAIC(:,1)) -  2.00000.*CONSTANTS(:,2).*STATES(:,2))./( 2.00000.*CONSTANTS(:,1))).*STATES(:,5).*power(ALGEBRAIC(:,10), 1.0 ./ 2) -  ALGEBRAIC(:,11).*power(STATES(:,4), 1.0 ./ 2));
    ALGEBRAIC(:,8) = CONSTANTS(:,5) -  2.00000.*CONSTANTS(:,1).*arbitrary_log( (STATES(:,1)./1.00000).*power(10.0000, 7.00000), 10);
    ALGEBRAIC(:,24) = piecewise({CONSTANTS(:,54)<1.00000e-12, 0.00000 },  (( (( CONSTANTS(:,37).*CONSTANTS(:,54))./(CONSTANTS(:,54)+CONSTANTS(:,48))).*ALGEBRAIC(:,11))./CONSTANTS(:,20)).*( exp( - (ALGEBRAIC(:,8)+ 2.00000.*ALGEBRAIC(:,1))./( 2.00000.*CONSTANTS(:,1))).*ALGEBRAIC(:,11).*power(CONSTANTS(:,54), 0.250000) -  STATES(:,5).*exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1))));
    ALGEBRAIC(:,25) =  CONSTANTS(:,38).*( (( exp( - (CONSTANTS(:,6) -  CONSTANTS(:,19).*ALGEBRAIC(:,1))./CONSTANTS(:,1)).*CONSTANTS(:,11))./CONSTANTS(:,10)).*STATES(:,9).*STATES(:,12) -  STATES(:,7).*1.00000);
    ALGEBRAIC(:,26) =   - 0.650000.*STATES(:,2);
    ALGEBRAIC(:,27) =  0.350000.*STATES(:,2);
    ALGEBRAIC(:,28) = piecewise({ALGEBRAIC(:,16)>CONSTANTS(:,55)&ALGEBRAIC(:,14)>CONSTANTS(:,55), ( CONSTANTS(:,39).*(ALGEBRAIC(:,16)./(ALGEBRAIC(:,16)+ ALGEBRAIC(:,14).*exp((  - CONSTANTS(:,2).*ALGEBRAIC(:,27))./CONSTANTS(:,1))) - ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*exp((  - CONSTANTS(:,2).*ALGEBRAIC(:,26))./CONSTANTS(:,1)))).*ALGEBRAIC(:,16))./(ALGEBRAIC(:,16)+CONSTANTS(:,44)) }, 0.00000);
    ALGEBRAIC(:,29) = ( STATES(:,18).*CONSTANTS(:,63))./(CONSTANTS(:,63)+CONSTANTS(:,7));
    ALGEBRAIC(:,31) = ( STATES(:,12).*STATES(:,1))./(STATES(:,1)+CONSTANTS(:,7));
    ALGEBRAIC(:,33) = ( CONSTANTS(:,40).*( CONSTANTS(:,63).*ALGEBRAIC(:,29) -  STATES(:,1).*ALGEBRAIC(:,31)))./(ALGEBRAIC(:,29)+CONSTANTS(:,32));
    ALGEBRAIC(:,34) =  CONSTANTS(:,53).*CONSTANTS(:,51).*(STATES(:,20) - STATES(:,13));
    ALGEBRAIC(:,36) =  CONSTANTS(:,45).*( CONSTANTS(:,12).*STATES(:,15).*STATES(:,15) -  STATES(:,17).*STATES(:,13));
    ALGEBRAIC(:,32) =  CONSTANTS(:,53).*CONSTANTS(:,51).*(STATES(:,21) - STATES(:,15));
    ALGEBRAIC(:,30) =  CONSTANTS(:,53).*CONSTANTS(:,51).*(STATES(:,22) - STATES(:,17));
    ALGEBRAIC(:,37) =  CONSTANTS(:,53).*CONSTANTS(:,52).*(STATES(:,25) - STATES(:,18));
    ALGEBRAIC(:,38) =  CONSTANTS(:,45).*( CONSTANTS(:,12).*STATES(:,21).*STATES(:,21) -  STATES(:,22).*STATES(:,20));
    ALGEBRAIC(:,39) =  CONSTANTS(:,41).*( CONSTANTS(:,61).*STATES(:,1) -  STATES(:,10).*CONSTANTS(:,63));
    ALGEBRAIC(:,35) = piecewise({abs(STATES(:,2))>CONSTANTS(:,56), ( CONSTANTS(:,42).*STATES(:,2).*( CONSTANTS(:,63).*exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - STATES(:,1)))./(exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - 1.00000) }, ( CONSTANTS(:,42).*CONSTANTS(:,1).*(CONSTANTS(:,63) - STATES(:,1)))./CONSTANTS(:,2));
    ALGEBRAIC(:,18) = CONSTANTS(:,21) - STATES(:,27);
    ALGEBRAIC(:,40) =  CONSTANTS(:,46).*( CONSTANTS(:,13).*STATES(:,21).*STATES(:,27).*CONSTANTS(:,60) -  STATES(:,20).*ALGEBRAIC(:,18));
    ALGEBRAIC(:,41) = piecewise({abs(STATES(:,2))>CONSTANTS(:,57), ( CONSTANTS(:,43).*STATES(:,2).*( CONSTANTS(:,61).*exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - STATES(:,10)))./(exp(( CONSTANTS(:,2).*STATES(:,2))./CONSTANTS(:,1)) - 1.00000) }, ( CONSTANTS(:,43).*CONSTANTS(:,1).*(CONSTANTS(:,61) - STATES(:,10)))./CONSTANTS(:,2));
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

% Compute a logarithm to any base" +
function x = arbitrary_log(a, base)
    x = log(a) ./ log(base);
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