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 =68;
end
% There are a total of 27 entries in each of the rate and state variable arrays.
% There are a total of 67 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_STATES(:,1) = strpad('q_Ca_i in component environment (fmol)');
    LEGEND_STATES(:,2) = strpad('q_Ca_SR in component environment (fmol)');
    LEGEND_STATES(:,3) = strpad('q_IP3 in component environment (fmol)');
    LEGEND_STATES(:,4) = strpad('q_Sa_000_IPR in component environment (fmol)');
    LEGEND_STATES(:,5) = strpad('q_Sa_001_IPR in component environment (fmol)');
    LEGEND_STATES(:,6) = strpad('q_Sa_010_IPR in component environment (fmol)');
    LEGEND_STATES(:,7) = strpad('q_Sa_011_IPR in component environment (fmol)');
    LEGEND_STATES(:,8) = strpad('q_Sa_100_IPR in component environment (fmol)');
    LEGEND_STATES(:,9) = strpad('q_Sa_101_IPR in component environment (fmol)');
    LEGEND_STATES(:,10) = strpad('q_Sa_110_IPR in component environment (fmol)');
    LEGEND_STATES(:,11) = strpad('q_Sa_111_IPR in component environment (fmol)');
    LEGEND_STATES(:,12) = strpad('q_Sb_000_IPR in component environment (fmol)');
    LEGEND_STATES(:,13) = strpad('q_Sb_001_IPR in component environment (fmol)');
    LEGEND_STATES(:,14) = strpad('q_Sb_010_IPR in component environment (fmol)');
    LEGEND_STATES(:,15) = strpad('q_Sb_011_IPR in component environment (fmol)');
    LEGEND_STATES(:,16) = strpad('q_Sb_100_IPR in component environment (fmol)');
    LEGEND_STATES(:,17) = strpad('q_Sb_101_IPR in component environment (fmol)');
    LEGEND_STATES(:,18) = strpad('q_Sb_110_IPR in component environment (fmol)');
    LEGEND_STATES(:,19) = strpad('q_Sb_111_IPR in component environment (fmol)');
    LEGEND_STATES(:,20) = strpad('q_Sc_000_IPR in component environment (fmol)');
    LEGEND_STATES(:,21) = strpad('q_Sc_001_IPR in component environment (fmol)');
    LEGEND_STATES(:,22) = strpad('q_Sc_010_IPR in component environment (fmol)');
    LEGEND_STATES(:,23) = strpad('q_Sc_011_IPR in component environment (fmol)');
    LEGEND_STATES(:,24) = strpad('q_Sc_100_IPR in component environment (fmol)');
    LEGEND_STATES(:,25) = strpad('q_Sc_101_IPR in component environment (fmol)');
    LEGEND_STATES(:,26) = strpad('q_Sc_110_IPR in component environment (fmol)');
    LEGEND_STATES(:,27) = strpad('q_Sc_111_IPR in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,2) = strpad('IP3_stim in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,32) = strpad('v_R_IPR_main in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,33) = strpad('v_R1_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,34) = strpad('v_R2_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,35) = strpad('v_R3_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,36) = strpad('v_R4_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,37) = strpad('v_R5_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,38) = strpad('v_R6_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,39) = strpad('v_R7_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,40) = strpad('v_R8_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,41) = strpad('v_R9_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,42) = strpad('v_R10_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,43) = strpad('v_R11_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,44) = strpad('v_R12_a_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,45) = strpad('v_R1_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,46) = strpad('v_R2_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,47) = strpad('v_R3_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,48) = strpad('v_R4_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,49) = strpad('v_R5_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,50) = strpad('v_R6_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,51) = strpad('v_R7_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,52) = strpad('v_R8_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,53) = strpad('v_R9_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,54) = strpad('v_R10_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,55) = strpad('v_R11_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,56) = strpad('v_R12_b_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,57) = strpad('v_R1_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,58) = strpad('v_R2_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,59) = strpad('v_R3_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,60) = strpad('v_R4_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,61) = strpad('v_R5_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,62) = strpad('v_R6_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,63) = strpad('v_R7_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,64) = strpad('v_R8_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,65) = strpad('v_R9_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,66) = strpad('v_R10_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,67) = strpad('v_R11_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,68) = strpad('v_R12_c_IPR in component IPR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,3) = strpad('Ca_tot in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,1) = strpad('Ca_gate in component environment (fmol)');
    LEGEND_CONSTANTS(:,1) = strpad('kappa_R_IPR_main in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,2) = strpad('kappa_R1_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,3) = strpad('kappa_R2_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,4) = strpad('kappa_R3_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,5) = strpad('kappa_R4_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,6) = strpad('kappa_R5_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,7) = strpad('kappa_R6_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,8) = strpad('kappa_R7_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,9) = strpad('kappa_R8_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,10) = strpad('kappa_R9_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,11) = strpad('kappa_R10_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,12) = strpad('kappa_R11_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,13) = strpad('kappa_R12_a_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,14) = strpad('kappa_R1_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,15) = strpad('kappa_R2_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,16) = strpad('kappa_R3_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,17) = strpad('kappa_R4_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,18) = strpad('kappa_R5_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,19) = strpad('kappa_R6_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,20) = strpad('kappa_R7_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,21) = strpad('kappa_R8_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,22) = strpad('kappa_R9_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,23) = strpad('kappa_R10_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,24) = strpad('kappa_R11_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,25) = strpad('kappa_R12_b_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,26) = strpad('kappa_R1_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,27) = strpad('kappa_R2_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,28) = strpad('kappa_R3_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,29) = strpad('kappa_R4_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,30) = strpad('kappa_R5_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,31) = strpad('kappa_R6_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,32) = strpad('kappa_R7_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,33) = strpad('kappa_R8_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,34) = strpad('kappa_R9_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,35) = strpad('kappa_R10_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,36) = strpad('kappa_R11_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,37) = strpad('kappa_R12_c_IPR in component IPR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,38) = strpad('K_Ca_i in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,39) = strpad('K_Ca_SR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,40) = strpad('K_IP3 in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,41) = strpad('K_Sa_000_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,42) = strpad('K_Sa_001_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,43) = strpad('K_Sa_010_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,44) = strpad('K_Sa_011_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,45) = strpad('K_Sa_100_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,46) = strpad('K_Sa_101_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,47) = strpad('K_Sa_110_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,48) = strpad('K_Sa_111_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,49) = strpad('K_Sb_000_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,50) = strpad('K_Sb_001_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,51) = strpad('K_Sb_010_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,52) = strpad('K_Sb_011_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,53) = strpad('K_Sb_100_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,54) = strpad('K_Sb_101_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,55) = strpad('K_Sb_110_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,56) = strpad('K_Sb_111_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,57) = strpad('K_Sc_000_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,58) = strpad('K_Sc_001_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,59) = strpad('K_Sc_010_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,60) = strpad('K_Sc_011_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,61) = strpad('K_Sc_100_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,62) = strpad('K_Sc_101_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,63) = strpad('K_Sc_110_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,64) = strpad('K_Sc_111_IPR in component IPR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,65) = strpad('R in component constants (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,66) = strpad('T in component constants (kelvin)');
    LEGEND_ALGEBRAIC(:,4) = strpad('mu_Ca_i in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('mu_Ca_SR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('mu_IP3 in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('mu_Sa_000_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('mu_Sa_001_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('mu_Sa_010_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('mu_Sa_011_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,12) = strpad('mu_Sa_100_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,13) = strpad('mu_Sa_101_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('mu_Sa_110_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,15) = strpad('mu_Sa_111_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,16) = strpad('mu_Sb_000_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,17) = strpad('mu_Sb_001_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('mu_Sb_010_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('mu_Sb_011_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,20) = strpad('mu_Sb_100_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('mu_Sb_101_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('mu_Sb_110_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,23) = strpad('mu_Sb_111_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,24) = strpad('mu_Sc_000_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,25) = strpad('mu_Sc_001_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,26) = strpad('mu_Sc_010_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,27) = strpad('mu_Sc_011_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,28) = strpad('mu_Sc_100_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,29) = strpad('mu_Sc_101_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,30) = strpad('mu_Sc_110_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,31) = strpad('mu_Sc_111_IPR in component IPR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,7) = strpad('v_R_IPR_main_nogate in component IPR (fmol_per_sec)');
    LEGEND_CONSTANTS(:,67) = strpad('F in component constants (C_per_mol)');
    LEGEND_RATES(:,1) = strpad('d/dt q_Ca_i in component environment (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_Ca_SR in component environment (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_IP3 in component environment (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_Sa_000_IPR in component environment (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt q_Sa_001_IPR in component environment (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_Sa_010_IPR in component environment (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_Sa_011_IPR in component environment (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_Sa_100_IPR in component environment (fmol)');
    LEGEND_RATES(:,9) = strpad('d/dt q_Sa_101_IPR in component environment (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_Sa_110_IPR in component environment (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_Sa_111_IPR in component environment (fmol)');
    LEGEND_RATES(:,12) = strpad('d/dt q_Sb_000_IPR in component environment (fmol)');
    LEGEND_RATES(:,13) = strpad('d/dt q_Sb_001_IPR in component environment (fmol)');
    LEGEND_RATES(:,14) = strpad('d/dt q_Sb_010_IPR in component environment (fmol)');
    LEGEND_RATES(:,15) = strpad('d/dt q_Sb_011_IPR in component environment (fmol)');
    LEGEND_RATES(:,16) = strpad('d/dt q_Sb_100_IPR in component environment (fmol)');
    LEGEND_RATES(:,17) = strpad('d/dt q_Sb_101_IPR in component environment (fmol)');
    LEGEND_RATES(:,18) = strpad('d/dt q_Sb_110_IPR in component environment (fmol)');
    LEGEND_RATES(:,19) = strpad('d/dt q_Sb_111_IPR in component environment (fmol)');
    LEGEND_RATES(:,20) = strpad('d/dt q_Sc_000_IPR in component environment (fmol)');
    LEGEND_RATES(:,21) = strpad('d/dt q_Sc_001_IPR in component environment (fmol)');
    LEGEND_RATES(:,22) = strpad('d/dt q_Sc_010_IPR in component environment (fmol)');
    LEGEND_RATES(:,23) = strpad('d/dt q_Sc_011_IPR in component environment (fmol)');
    LEGEND_RATES(:,24) = strpad('d/dt q_Sc_100_IPR in component environment (fmol)');
    LEGEND_RATES(:,25) = strpad('d/dt q_Sc_101_IPR in component environment (fmol)');
    LEGEND_RATES(:,26) = strpad('d/dt q_Sc_110_IPR in component environment (fmol)');
    LEGEND_RATES(:,27) = strpad('d/dt q_Sc_111_IPR in component environment (fmol)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    STATES(:,1) = 0.007540192;
    STATES(:,2) = 0.763997897;
    STATES(:,3) = 5e-3;
    STATES(:,4) = 5e-6;
    STATES(:,5) = 5e-6;
    STATES(:,6) = 5e-6;
    STATES(:,7) = 5e-6;
    STATES(:,8) = 5e-6;
    STATES(:,9) = 5e-6;
    STATES(:,10) = 5e-6;
    STATES(:,11) = 5e-6;
    STATES(:,12) = 5e-6;
    STATES(:,13) = 5e-6;
    STATES(:,14) = 5e-6;
    STATES(:,15) = 5e-6;
    STATES(:,16) = 5e-6;
    STATES(:,17) = 5e-6;
    STATES(:,18) = 5e-6;
    STATES(:,19) = 5e-6;
    STATES(:,20) = 5e-6;
    STATES(:,21) = 5e-6;
    STATES(:,22) = 5e-6;
    STATES(:,23) = 5e-6;
    STATES(:,24) = 5e-6;
    STATES(:,25) = 5e-6;
    STATES(:,26) = 5e-6;
    STATES(:,27) = 5e-6;
    CONSTANTS(:,1) = 1.61481e+08;
    CONSTANTS(:,2) = 0.0180631;
    CONSTANTS(:,3) = 5.45765;
    CONSTANTS(:,4) = 0.0957773;
    CONSTANTS(:,5) = 1.80631;
    CONSTANTS(:,6) = 7.15849e-05;
    CONSTANTS(:,7) = 0.00297939;
    CONSTANTS(:,8) = 0.36184;
    CONSTANTS(:,9) = 6505.35;
    CONSTANTS(:,10) = 0.128757;
    CONSTANTS(:,11) = 0.0426298;
    CONSTANTS(:,12) = 0.68272;
    CONSTANTS(:,13) = 205415;
    CONSTANTS(:,14) = 0.0180631;
    CONSTANTS(:,15) = 5.45765;
    CONSTANTS(:,16) = 0.0957773;
    CONSTANTS(:,17) = 1.80631;
    CONSTANTS(:,18) = 7.15849e-05;
    CONSTANTS(:,19) = 0.00297939;
    CONSTANTS(:,20) = 0.36184;
    CONSTANTS(:,21) = 6505.35;
    CONSTANTS(:,22) = 0.128757;
    CONSTANTS(:,23) = 0.0426298;
    CONSTANTS(:,24) = 0.68272;
    CONSTANTS(:,25) = 205415;
    CONSTANTS(:,26) = 0.0180631;
    CONSTANTS(:,27) = 5.45765;
    CONSTANTS(:,28) = 0.0957773;
    CONSTANTS(:,29) = 1.80631;
    CONSTANTS(:,30) = 7.15849e-05;
    CONSTANTS(:,31) = 0.00297939;
    CONSTANTS(:,32) = 0.36184;
    CONSTANTS(:,33) = 6505.35;
    CONSTANTS(:,34) = 0.128757;
    CONSTANTS(:,35) = 0.0426298;
    CONSTANTS(:,36) = 0.68272;
    CONSTANTS(:,37) = 205415;
    CONSTANTS(:,38) = 617.368;
    CONSTANTS(:,39) = 1004.58;
    CONSTANTS(:,40) = 523369;
    CONSTANTS(:,41) = 4.83415;
    CONSTANTS(:,42) = 1.59995;
    CONSTANTS(:,43) = 0.911695;
    CONSTANTS(:,44) = 0.301742;
    CONSTANTS(:,45) = 1219.81;
    CONSTANTS(:,46) = 2930.79;
    CONSTANTS(:,47) = 0.000253146;
    CONSTANTS(:,48) = 552.73;
    CONSTANTS(:,49) = 4.83415;
    CONSTANTS(:,50) = 1.59995;
    CONSTANTS(:,51) = 0.911695;
    CONSTANTS(:,52) = 0.301742;
    CONSTANTS(:,53) = 1219.81;
    CONSTANTS(:,54) = 2930.79;
    CONSTANTS(:,55) = 0.000253146;
    CONSTANTS(:,56) = 552.73;
    CONSTANTS(:,57) = 4.83415;
    CONSTANTS(:,58) = 1.59995;
    CONSTANTS(:,59) = 0.911695;
    CONSTANTS(:,60) = 0.301742;
    CONSTANTS(:,61) = 1219.81;
    CONSTANTS(:,62) = 2930.79;
    CONSTANTS(:,63) = 0.000253146;
    CONSTANTS(:,64) = 552.73;
    CONSTANTS(:,65) = 8.31;
    CONSTANTS(:,66) = 310;
    CONSTANTS(:,67) = 96485;
    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(:,4) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,38).*STATES(:,1));
    ALGEBRAIC(:,5) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,39).*STATES(:,2));
    ALGEBRAIC(:,14) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,47).*STATES(:,10));
    ALGEBRAIC(:,22) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,55).*STATES(:,18));
    ALGEBRAIC(:,30) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,63).*STATES(:,26));
    ALGEBRAIC(:,32) =  CONSTANTS(:,1).*(exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,4)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,2) =  - ALGEBRAIC(:,32);
    ALGEBRAIC(:,8) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,41).*STATES(:,4));
    ALGEBRAIC(:,9) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,42).*STATES(:,5));
    ALGEBRAIC(:,33) =  CONSTANTS(:,2).*(exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,9)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,11) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,44).*STATES(:,7));
    ALGEBRAIC(:,34) =  CONSTANTS(:,3).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,6) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,40).*STATES(:,3));
    ALGEBRAIC(:,13) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,46).*STATES(:,9));
    ALGEBRAIC(:,41) =  CONSTANTS(:,10).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,5) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,34)) - ALGEBRAIC(:,41);
    ALGEBRAIC(:,12) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,45).*STATES(:,8));
    ALGEBRAIC(:,37) =  CONSTANTS(:,6).*(exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,15) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,48).*STATES(:,11));
    ALGEBRAIC(:,38) =  CONSTANTS(:,7).*(exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,9) = (ALGEBRAIC(:,37) - ALGEBRAIC(:,38))+ALGEBRAIC(:,41);
    ALGEBRAIC(:,10) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,43).*STATES(:,6));
    ALGEBRAIC(:,36) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,42) =  CONSTANTS(:,11).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,4) =  - ALGEBRAIC(:,33)+ALGEBRAIC(:,36)+ALGEBRAIC(:,42);
    ALGEBRAIC(:,40) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,8) = ( - ALGEBRAIC(:,37)+ALGEBRAIC(:,40)) - ALGEBRAIC(:,42);
    ALGEBRAIC(:,35) =  CONSTANTS(:,4).*(exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,43) =  CONSTANTS(:,12).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,7) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,35)) - ALGEBRAIC(:,43);
    ALGEBRAIC(:,39) =  CONSTANTS(:,8).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,11) = (ALGEBRAIC(:,38) - ALGEBRAIC(:,39))+ALGEBRAIC(:,43);
    ALGEBRAIC(:,44) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,6) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,36))+ALGEBRAIC(:,44);
    RATES(:,10) = (ALGEBRAIC(:,39) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,44);
    ALGEBRAIC(:,16) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,49).*STATES(:,12));
    ALGEBRAIC(:,17) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,50).*STATES(:,13));
    ALGEBRAIC(:,45) =  CONSTANTS(:,14).*(exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,19) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,52).*STATES(:,15));
    ALGEBRAIC(:,46) =  CONSTANTS(:,15).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,21) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,54).*STATES(:,17));
    ALGEBRAIC(:,53) =  CONSTANTS(:,22).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,13) = (ALGEBRAIC(:,45) - ALGEBRAIC(:,46)) - ALGEBRAIC(:,53);
    ALGEBRAIC(:,20) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,53).*STATES(:,16));
    ALGEBRAIC(:,49) =  CONSTANTS(:,18).*(exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,23) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,56).*STATES(:,19));
    ALGEBRAIC(:,50) =  CONSTANTS(:,19).*(exp((ALGEBRAIC(:,21)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,17) = (ALGEBRAIC(:,49) - ALGEBRAIC(:,50))+ALGEBRAIC(:,53);
    ALGEBRAIC(:,18) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,51).*STATES(:,14));
    ALGEBRAIC(:,48) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,54) =  CONSTANTS(:,23).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,12) =  - ALGEBRAIC(:,45)+ALGEBRAIC(:,48)+ALGEBRAIC(:,54);
    ALGEBRAIC(:,52) =  CONSTANTS(:,21).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,16) = ( - ALGEBRAIC(:,49)+ALGEBRAIC(:,52)) - ALGEBRAIC(:,54);
    ALGEBRAIC(:,47) =  CONSTANTS(:,16).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,55) =  CONSTANTS(:,24).*(exp((ALGEBRAIC(:,19)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,15) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,47)) - ALGEBRAIC(:,55);
    ALGEBRAIC(:,51) =  CONSTANTS(:,20).*(exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,19) = (ALGEBRAIC(:,50) - ALGEBRAIC(:,51))+ALGEBRAIC(:,55);
    ALGEBRAIC(:,56) =  CONSTANTS(:,25).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,14) = (ALGEBRAIC(:,47) - ALGEBRAIC(:,48))+ALGEBRAIC(:,56);
    RATES(:,18) = (ALGEBRAIC(:,51) - ALGEBRAIC(:,52)) - ALGEBRAIC(:,56);
    ALGEBRAIC(:,24) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,57).*STATES(:,20));
    ALGEBRAIC(:,25) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,58).*STATES(:,21));
    ALGEBRAIC(:,57) =  CONSTANTS(:,26).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,27) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,60).*STATES(:,23));
    ALGEBRAIC(:,58) =  CONSTANTS(:,27).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,26) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,59).*STATES(:,22));
    ALGEBRAIC(:,59) =  CONSTANTS(:,28).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,60) =  CONSTANTS(:,29).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,28) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,61).*STATES(:,24));
    ALGEBRAIC(:,29) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,62).*STATES(:,25));
    ALGEBRAIC(:,61) =  CONSTANTS(:,30).*(exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,31) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,64).*STATES(:,27));
    ALGEBRAIC(:,62) =  CONSTANTS(:,31).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,63) =  CONSTANTS(:,32).*(exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,30)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,64) =  CONSTANTS(:,33).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,1) = (((((((((((((((((ALGEBRAIC(:,32) - ALGEBRAIC(:,33)) - ALGEBRAIC(:,34))+ALGEBRAIC(:,35)+ALGEBRAIC(:,36)) - ALGEBRAIC(:,37)) - ALGEBRAIC(:,38))+ALGEBRAIC(:,39)+ALGEBRAIC(:,40)) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,46))+ALGEBRAIC(:,47)+ALGEBRAIC(:,48)) - ALGEBRAIC(:,49)) - ALGEBRAIC(:,50))+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)) - ALGEBRAIC(:,57)) - ALGEBRAIC(:,58))+ALGEBRAIC(:,59)+ALGEBRAIC(:,60)) - ALGEBRAIC(:,61)) - ALGEBRAIC(:,62))+ALGEBRAIC(:,63)+ALGEBRAIC(:,64);
    ALGEBRAIC(:,65) =  CONSTANTS(:,34).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,21) = (ALGEBRAIC(:,57) - ALGEBRAIC(:,58)) - ALGEBRAIC(:,65);
    RATES(:,25) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,62))+ALGEBRAIC(:,65);
    ALGEBRAIC(:,66) =  CONSTANTS(:,35).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,20) =  - ALGEBRAIC(:,57)+ALGEBRAIC(:,60)+ALGEBRAIC(:,66);
    RATES(:,24) = ( - ALGEBRAIC(:,61)+ALGEBRAIC(:,64)) - ALGEBRAIC(:,66);
    ALGEBRAIC(:,67) =  CONSTANTS(:,36).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,23) = (ALGEBRAIC(:,58) - ALGEBRAIC(:,59)) - ALGEBRAIC(:,67);
    RATES(:,27) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,63))+ALGEBRAIC(:,67);
    ALGEBRAIC(:,2) = piecewise({VOI>0.0600000&VOI<0.0700000, 100.000 , VOI>0.0900000&VOI<0.100000,  - 100.000 }, 0.00000);
    ALGEBRAIC(:,68) =  CONSTANTS(:,37).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    RATES(:,3) = (((((((((( - ALGEBRAIC(:,41)+ALGEBRAIC(:,42)) - ALGEBRAIC(:,43))+ALGEBRAIC(:,44)) - ALGEBRAIC(:,53))+ALGEBRAIC(:,54)) - ALGEBRAIC(:,55))+ALGEBRAIC(:,56)) - ALGEBRAIC(:,65))+ALGEBRAIC(:,66)) - ALGEBRAIC(:,67))+ALGEBRAIC(:,68)+ALGEBRAIC(:,2);
    RATES(:,22) = (ALGEBRAIC(:,59) - ALGEBRAIC(:,60))+ALGEBRAIC(:,68);
    RATES(:,26) = (ALGEBRAIC(:,63) - ALGEBRAIC(:,64)) - ALGEBRAIC(:,68);
   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(:,4) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,38).*STATES(:,1));
    ALGEBRAIC(:,5) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,39).*STATES(:,2));
    ALGEBRAIC(:,14) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,47).*STATES(:,10));
    ALGEBRAIC(:,22) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,55).*STATES(:,18));
    ALGEBRAIC(:,30) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,63).*STATES(:,26));
    ALGEBRAIC(:,32) =  CONSTANTS(:,1).*(exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,4)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,8) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,41).*STATES(:,4));
    ALGEBRAIC(:,9) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,42).*STATES(:,5));
    ALGEBRAIC(:,33) =  CONSTANTS(:,2).*(exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,9)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,11) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,44).*STATES(:,7));
    ALGEBRAIC(:,34) =  CONSTANTS(:,3).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,6) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,40).*STATES(:,3));
    ALGEBRAIC(:,13) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,46).*STATES(:,9));
    ALGEBRAIC(:,41) =  CONSTANTS(:,10).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,12) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,45).*STATES(:,8));
    ALGEBRAIC(:,37) =  CONSTANTS(:,6).*(exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,15) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,48).*STATES(:,11));
    ALGEBRAIC(:,38) =  CONSTANTS(:,7).*(exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,10) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,43).*STATES(:,6));
    ALGEBRAIC(:,36) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,42) =  CONSTANTS(:,11).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,40) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,35) =  CONSTANTS(:,4).*(exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,43) =  CONSTANTS(:,12).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,39) =  CONSTANTS(:,8).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,44) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,16) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,49).*STATES(:,12));
    ALGEBRAIC(:,17) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,50).*STATES(:,13));
    ALGEBRAIC(:,45) =  CONSTANTS(:,14).*(exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,19) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,52).*STATES(:,15));
    ALGEBRAIC(:,46) =  CONSTANTS(:,15).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,21) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,54).*STATES(:,17));
    ALGEBRAIC(:,53) =  CONSTANTS(:,22).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,20) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,53).*STATES(:,16));
    ALGEBRAIC(:,49) =  CONSTANTS(:,18).*(exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,23) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,56).*STATES(:,19));
    ALGEBRAIC(:,50) =  CONSTANTS(:,19).*(exp((ALGEBRAIC(:,21)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,18) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,51).*STATES(:,14));
    ALGEBRAIC(:,48) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,54) =  CONSTANTS(:,23).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,52) =  CONSTANTS(:,21).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,47) =  CONSTANTS(:,16).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,55) =  CONSTANTS(:,24).*(exp((ALGEBRAIC(:,19)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,51) =  CONSTANTS(:,20).*(exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,56) =  CONSTANTS(:,25).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,24) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,57).*STATES(:,20));
    ALGEBRAIC(:,25) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,58).*STATES(:,21));
    ALGEBRAIC(:,57) =  CONSTANTS(:,26).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,27) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,60).*STATES(:,23));
    ALGEBRAIC(:,58) =  CONSTANTS(:,27).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,26) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,59).*STATES(:,22));
    ALGEBRAIC(:,59) =  CONSTANTS(:,28).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,60) =  CONSTANTS(:,29).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,28) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,61).*STATES(:,24));
    ALGEBRAIC(:,29) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,62).*STATES(:,25));
    ALGEBRAIC(:,61) =  CONSTANTS(:,30).*(exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,31) =  CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,64).*STATES(:,27));
    ALGEBRAIC(:,62) =  CONSTANTS(:,31).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,63) =  CONSTANTS(:,32).*(exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,30)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,64) =  CONSTANTS(:,33).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,65) =  CONSTANTS(:,34).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,66) =  CONSTANTS(:,35).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,67) =  CONSTANTS(:,36).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,2) = piecewise({VOI>0.0600000&VOI<0.0700000, 100.000 , VOI>0.0900000&VOI<0.100000,  - 100.000 }, 0.00000);
    ALGEBRAIC(:,68) =  CONSTANTS(:,37).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
    ALGEBRAIC(:,1) = STATES(:,5)+STATES(:,9)+STATES(:,7)+STATES(:,11)+STATES(:,6)+STATES(:,7)+STATES(:,10)+STATES(:,11)+STATES(:,13)+STATES(:,17)+STATES(:,15)+STATES(:,19)+STATES(:,14)+STATES(:,15)+STATES(:,18)+STATES(:,19)+STATES(:,21)+STATES(:,25)+STATES(:,23)+STATES(:,27)+STATES(:,22)+STATES(:,23)+STATES(:,26)+STATES(:,27);
    ALGEBRAIC(:,3) = STATES(:,1)+STATES(:,2)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*(exp(ALGEBRAIC(:,5)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,4)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
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