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 =93;
end
% There are a total of 24 entries in each of the rate and state variable arrays.
% There are a total of 44 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('t in component environment (second)');
    LEGEND_CONSTANTS(:,1) = strpad('R in component environment (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,2) = strpad('T in component environment (kelvin)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component environment (C_per_mol)');
    LEGEND_CONSTANTS(:,4) = strpad('C_m in component environment (fF)');
    LEGEND_STATES(:,1) = strpad('q_K_o in component environment (fmol)');
    LEGEND_STATES(:,2) = strpad('q_K_i in component environment (fmol)');
    LEGEND_STATES(:,3) = strpad('q_Na_o in component environment (fmol)');
    LEGEND_STATES(:,4) = strpad('q_Na_i in component environment (fmol)');
    LEGEND_STATES(:,5) = strpad('q_H_i in component environment (fmol)');
    LEGEND_STATES(:,6) = strpad('q_MgADP in component environment (fmol)');
    LEGEND_STATES(:,7) = strpad('q_MgATP in component environment (fmol)');
    LEGEND_STATES(:,8) = strpad('q_Pi in component environment (fmol)');
    LEGEND_STATES(:,9) = strpad('q_P7 in component environment (fmol)');
    LEGEND_STATES(:,10) = strpad('q_P14 in component environment (fmol)');
    LEGEND_STATES(:,11) = strpad('q_P15 in component environment (fmol)');
    LEGEND_STATES(:,12) = strpad('q_P1 in component environment (fmol)');
    LEGEND_STATES(:,13) = strpad('q_P2 in component environment (fmol)');
    LEGEND_STATES(:,14) = strpad('q_P3 in component environment (fmol)');
    LEGEND_STATES(:,15) = strpad('q_P4 in component environment (fmol)');
    LEGEND_STATES(:,16) = strpad('q_P5 in component environment (fmol)');
    LEGEND_STATES(:,17) = strpad('q_P6 in component environment (fmol)');
    LEGEND_STATES(:,18) = strpad('q_P10 in component environment (fmol)');
    LEGEND_STATES(:,19) = strpad('q_P11 in component environment (fmol)');
    LEGEND_STATES(:,20) = strpad('q_P12 in component environment (fmol)');
    LEGEND_STATES(:,21) = strpad('q_P13 in component environment (fmol)');
    LEGEND_STATES(:,22) = strpad('q_P8 in component environment (fmol)');
    LEGEND_STATES(:,23) = strpad('q_P9 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,55) = strpad('v_K_o_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,48) = strpad('v_K_i_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,91) = strpad('v_Na_o_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,70) = strpad('v_Na_i_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,62) = strpad('v_H_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,78) = strpad('v_MgADP_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,71) = strpad('v_MgATP_NaK in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,63) = strpad('v_Pi_NaK in component NaK (fmol_per_sec)');
    LEGEND_STATES(:,24) = strpad('q_mem in component environment (fC)');
    LEGEND_ALGEBRAIC(:,87) = strpad('I_mem_NaK in component NaK (fA)');
    LEGEND_CONSTANTS(:,5) = strpad('kappa_1_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,6) = strpad('kappa_2_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,7) = strpad('kappa_3_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,8) = strpad('kappa_4_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,9) = strpad('kappa_5_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,10) = strpad('kappa_6_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,11) = strpad('kappa_7_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,12) = strpad('kappa_8_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,13) = strpad('kappa_9_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,14) = strpad('kappa_10_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,15) = strpad('kappa_11_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,16) = strpad('kappa_12_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,17) = strpad('kappa_13_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,18) = strpad('kappa_14_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,19) = strpad('kappa_15_NaK in component NaK_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,20) = strpad('K_1_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,21) = strpad('K_2_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,22) = strpad('K_3_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,23) = strpad('K_4_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,24) = strpad('K_5_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,25) = strpad('K_6_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,26) = strpad('K_7_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,27) = strpad('K_8_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,28) = strpad('K_9_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,29) = strpad('K_10_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,30) = strpad('K_11_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,31) = strpad('K_12_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,32) = strpad('K_13_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,33) = strpad('K_14_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,34) = strpad('K_15_NaK in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,35) = strpad('K_K_i in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,36) = strpad('K_K_o in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,37) = strpad('K_Na_i in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,38) = strpad('K_Na_o in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,39) = strpad('K_MgATP in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,40) = strpad('K_MgADP in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,41) = strpad('K_Pi in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,42) = strpad('K_H in component NaK_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,43) = strpad('zF_5 in component NaK_parameters (C_per_mol)');
    LEGEND_CONSTANTS(:,44) = strpad('zF_8 in component NaK_parameters (C_per_mol)');
    LEGEND_ALGEBRAIC(:,3) = strpad('mu_K_o in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,4) = strpad('mu_K_i in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,7) = strpad('mu_Na_o in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('mu_Na_i in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,2) = strpad('mu_H in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('mu_MgADP in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('mu_MgATP in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('mu_P7 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,24) = strpad('mu_Pi in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('mu_P14 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,15) = strpad('mu_P15 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('mu_P1 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,16) = strpad('mu_P2 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,17) = strpad('mu_P3 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('mu_P4 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('mu_P5 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,20) = strpad('mu_P6 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('mu_P10 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('mu_P11 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,12) = strpad('mu_P12 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,13) = strpad('mu_P13 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('mu_P8 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,23) = strpad('mu_P9 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,72) = strpad('v_P14 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,80) = strpad('v_P15 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,81) = strpad('v_P1 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,50) = strpad('v_P2 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,57) = strpad('v_P3 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,64) = strpad('v_P4 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,73) = strpad('v_P5 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,82) = strpad('v_P6 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,92) = strpad('v_P10 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,51) = strpad('v_P11 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,58) = strpad('v_P12 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,65) = strpad('v_P13 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,85) = strpad('v_P7 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,88) = strpad('v_P8 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,93) = strpad('v_P9 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,25) = strpad('Af_R1 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,40) = strpad('Ar_R1 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,41) = strpad('v_R1 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,26) = strpad('Af_R10 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,42) = strpad('Ar_R10 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,43) = strpad('v_R10 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Af_R11 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,45) = strpad('Ar_R11 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,47) = strpad('v_R11 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,28) = strpad('Af_R12 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,52) = strpad('Ar_R12 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,54) = strpad('v_R12 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,29) = strpad('Af_R13 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,59) = strpad('Ar_R13 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,60) = strpad('v_R13 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,30) = strpad('Af_R14 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,66) = strpad('Ar_R14 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,68) = strpad('v_R14 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,31) = strpad('Af_R15 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,74) = strpad('Ar_R15 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,76) = strpad('v_R15 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,32) = strpad('Af_R2 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,44) = strpad('Ar_R2 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,46) = strpad('v_R2 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,33) = strpad('Af_R3 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,49) = strpad('Ar_R3 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,53) = strpad('v_R3 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,34) = strpad('Af_R4 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,56) = strpad('Ar_R4 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,61) = strpad('v_R4 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,35) = strpad('Af_R5 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,67) = strpad('Ar_R5 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,69) = strpad('v_R5 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,36) = strpad('Af_R6 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,75) = strpad('Ar_R6 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,77) = strpad('v_R6 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,37) = strpad('Af_R7 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,79) = strpad('Ar_R7 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,83) = strpad('v_R7 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,38) = strpad('Af_R8 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,84) = strpad('Ar_R8 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,86) = strpad('v_R8 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,39) = strpad('Af_R9 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,89) = strpad('Ar_R9 in component NaK (J_per_mol)');
    LEGEND_ALGEBRAIC(:,90) = strpad('v_R9 in component NaK (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,1) = strpad('V_mem in component NaK (volt)');
    LEGEND_RATES(:,1) = strpad('d/dt q_K_o in component environment (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_K_i in component environment (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_Na_o in component environment (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_Na_i in component environment (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt q_H_i in component environment (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_MgADP in component environment (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_MgATP in component environment (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_Pi in component environment (fmol)');
    LEGEND_RATES(:,24) = strpad('d/dt q_mem in component environment (fC)');
    LEGEND_RATES(:,9) = strpad('d/dt q_P7 in component environment (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_P14 in component environment (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_P15 in component environment (fmol)');
    LEGEND_RATES(:,12) = strpad('d/dt q_P1 in component environment (fmol)');
    LEGEND_RATES(:,13) = strpad('d/dt q_P2 in component environment (fmol)');
    LEGEND_RATES(:,14) = strpad('d/dt q_P3 in component environment (fmol)');
    LEGEND_RATES(:,15) = strpad('d/dt q_P4 in component environment (fmol)');
    LEGEND_RATES(:,16) = strpad('d/dt q_P5 in component environment (fmol)');
    LEGEND_RATES(:,17) = strpad('d/dt q_P6 in component environment (fmol)');
    LEGEND_RATES(:,18) = strpad('d/dt q_P10 in component environment (fmol)');
    LEGEND_RATES(:,19) = strpad('d/dt q_P11 in component environment (fmol)');
    LEGEND_RATES(:,20) = strpad('d/dt q_P12 in component environment (fmol)');
    LEGEND_RATES(:,21) = strpad('d/dt q_P13 in component environment (fmol)');
    LEGEND_RATES(:,22) = strpad('d/dt q_P8 in component environment (fmol)');
    LEGEND_RATES(:,23) = strpad('d/dt q_P9 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 = [];
    CONSTANTS(:,1) = 8.314;
    CONSTANTS(:,2) = 310;
    CONSTANTS(:,3) = 96485;
    CONSTANTS(:,4) = 153400;
    STATES(:,1) = 27.9828;
    STATES(:,2) = 5510;
    STATES(:,3) = 725.48;
    STATES(:,4) = 380;
    STATES(:,5) = 0.0030534;
    STATES(:,6) = 1.33;
    STATES(:,7) = 264.1;
    STATES(:,8) = 15.0898;
    STATES(:,9) = 0.001126432;
    STATES(:,10) = 0.001126432;
    STATES(:,11) = 0.001126432;
    STATES(:,12) = 0.001126432;
    STATES(:,13) = 0.001126432;
    STATES(:,14) = 0.001126432;
    STATES(:,15) = 0.001126432;
    STATES(:,16) = 0.001126432;
    STATES(:,17) = 0.001126432;
    STATES(:,18) = 0.001126432;
    STATES(:,19) = 0.001126432;
    STATES(:,20) = 0.001126432;
    STATES(:,21) = 0.001126432;
    STATES(:,22) = 0.001126432;
    STATES(:,23) = 0.001126432;
    STATES(:,24) = -13039;
    CONSTANTS(:,5) = 28701.2;
    CONSTANTS(:,6) = 1.02749e+06;
    CONSTANTS(:,7) = 36989.9;
    CONSTANTS(:,8) = 110769;
    CONSTANTS(:,9) = 143.043;
    CONSTANTS(:,10) = 0.203578;
    CONSTANTS(:,11) = 73.4728;
    CONSTANTS(:,12) = 70.4896;
    CONSTANTS(:,13) = 19895.6;
    CONSTANTS(:,14) = 1.40388e+06;
    CONSTANTS(:,15) = 7905.94;
    CONSTANTS(:,16) = 6193.15;
    CONSTANTS(:,17) = 0.55667;
    CONSTANTS(:,18) = 6163.37;
    CONSTANTS(:,19) = 1.34489;
    CONSTANTS(:,20) = 1.17033e+06;
    CONSTANTS(:,21) = 8172.83;
    CONSTANTS(:,22) = 228.295;
    CONSTANTS(:,23) = 76.2363;
    CONSTANTS(:,24) = 101.833;
    CONSTANTS(:,25) = 6990.92;
    CONSTANTS(:,26) = 157.403;
    CONSTANTS(:,27) = 494.813;
    CONSTANTS(:,28) = 1.06726e+06;
    CONSTANTS(:,29) = 3781.29;
    CONSTANTS(:,30) = 53.588;
    CONSTANTS(:,31) = 68.4084;
    CONSTANTS(:,32) = 349.31;
    CONSTANTS(:,33) = 105.854;
    CONSTANTS(:,34) = 22775;
    CONSTANTS(:,35) = 0.000123928;
    CONSTANTS(:,36) = 0.455493;
    CONSTANTS(:,37) = 0.00344241;
    CONSTANTS(:,38) = 0.00256511;
    CONSTANTS(:,39) = 0.0445571;
    CONSTANTS(:,40) = 0.204939;
    CONSTANTS(:,41) = 2.00757;
    CONSTANTS(:,42) = 2.00757;
    CONSTANTS(:,43) = -5301.979;
    CONSTANTS(:,44) = -91183.021;
    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(:,9) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,20).*STATES(:,12));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,4) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,35).*STATES(:,2));
    ALGEBRAIC(:,16) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,21).*STATES(:,13));
    ALGEBRAIC(:,40) = ALGEBRAIC(:,4)+ALGEBRAIC(:,16);
    ALGEBRAIC(:,41) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,25)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,40)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,32) = ALGEBRAIC(:,16);
    ALGEBRAIC(:,17) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,22).*STATES(:,14));
    ALGEBRAIC(:,44) = ALGEBRAIC(:,17)+ALGEBRAIC(:,4);
    ALGEBRAIC(:,46) =  CONSTANTS(:,6).*(exp(ALGEBRAIC(:,32)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,48) = ALGEBRAIC(:,41)+ALGEBRAIC(:,46);
    RATES(:,2) = ALGEBRAIC(:,48);
    ALGEBRAIC(:,50) =  - ALGEBRAIC(:,46)+ALGEBRAIC(:,41);
    RATES(:,13) = ALGEBRAIC(:,50);
    ALGEBRAIC(:,10) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,29).*STATES(:,18));
    ALGEBRAIC(:,26) = ALGEBRAIC(:,10);
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,38).*STATES(:,3));
    ALGEBRAIC(:,11) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,30).*STATES(:,19));
    ALGEBRAIC(:,42) = ALGEBRAIC(:,7)+ALGEBRAIC(:,11);
    ALGEBRAIC(:,43) =  CONSTANTS(:,14).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,42)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,3) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,36).*STATES(:,1));
    ALGEBRAIC(:,27) = ALGEBRAIC(:,11)+ALGEBRAIC(:,3);
    ALGEBRAIC(:,12) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,31).*STATES(:,20));
    ALGEBRAIC(:,45) = ALGEBRAIC(:,12);
    ALGEBRAIC(:,47) =  CONSTANTS(:,15).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,51) = ALGEBRAIC(:,43) - ALGEBRAIC(:,47);
    RATES(:,19) = ALGEBRAIC(:,51);
    ALGEBRAIC(:,28) = ALGEBRAIC(:,12)+ALGEBRAIC(:,3);
    ALGEBRAIC(:,13) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,32).*STATES(:,21));
    ALGEBRAIC(:,52) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,54) =  CONSTANTS(:,16).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,52)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,55) =  - ALGEBRAIC(:,47) - ALGEBRAIC(:,54);
    RATES(:,1) = ALGEBRAIC(:,55);
    ALGEBRAIC(:,8) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,37).*STATES(:,4));
    ALGEBRAIC(:,33) = ALGEBRAIC(:,17)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,18) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,23).*STATES(:,15));
    ALGEBRAIC(:,49) = ALGEBRAIC(:,18);
    ALGEBRAIC(:,53) =  CONSTANTS(:,7).*(exp(ALGEBRAIC(:,33)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,49)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,57) = ALGEBRAIC(:,46) - ALGEBRAIC(:,53);
    RATES(:,14) = ALGEBRAIC(:,57);
    ALGEBRAIC(:,58) =  - ALGEBRAIC(:,54)+ALGEBRAIC(:,47);
    RATES(:,20) = ALGEBRAIC(:,58);
    ALGEBRAIC(:,29) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,2) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,42).*STATES(:,5));
    ALGEBRAIC(:,24) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,41).*STATES(:,8));
    ALGEBRAIC(:,14) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,33).*STATES(:,10));
    ALGEBRAIC(:,59) = ALGEBRAIC(:,2)+ALGEBRAIC(:,24)+ALGEBRAIC(:,14);
    ALGEBRAIC(:,60) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,29)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,59)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,62) = ALGEBRAIC(:,60);
    RATES(:,5) = ALGEBRAIC(:,62);
    ALGEBRAIC(:,63) = ALGEBRAIC(:,60);
    RATES(:,8) = ALGEBRAIC(:,63);
    ALGEBRAIC(:,34) = ALGEBRAIC(:,18)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,19) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,24).*STATES(:,16));
    ALGEBRAIC(:,56) = ALGEBRAIC(:,19);
    ALGEBRAIC(:,61) =  CONSTANTS(:,8).*(exp(ALGEBRAIC(:,34)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,56)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,64) = ALGEBRAIC(:,53) - ALGEBRAIC(:,61);
    RATES(:,15) = ALGEBRAIC(:,64);
    ALGEBRAIC(:,65) = ALGEBRAIC(:,54) - ALGEBRAIC(:,60);
    RATES(:,21) = ALGEBRAIC(:,65);
    ALGEBRAIC(:,35) = ALGEBRAIC(:,19)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,1) = STATES(:,24)./CONSTANTS(:,4);
    ALGEBRAIC(:,67) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,25).*STATES(:,17))+ CONSTANTS(:,43).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,69) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,67)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,70) =  - ALGEBRAIC(:,53) - (ALGEBRAIC(:,61)+ALGEBRAIC(:,69));
    RATES(:,4) = ALGEBRAIC(:,70);
    ALGEBRAIC(:,6) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,39).*STATES(:,7));
    ALGEBRAIC(:,30) = ALGEBRAIC(:,14)+ALGEBRAIC(:,6);
    ALGEBRAIC(:,15) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,34).*STATES(:,11));
    ALGEBRAIC(:,66) = ALGEBRAIC(:,15);
    ALGEBRAIC(:,68) =  CONSTANTS(:,18).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,66)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,71) =  - ALGEBRAIC(:,68);
    RATES(:,7) = ALGEBRAIC(:,71);
    ALGEBRAIC(:,72) =  - ALGEBRAIC(:,68)+ALGEBRAIC(:,60);
    RATES(:,10) = ALGEBRAIC(:,72);
    ALGEBRAIC(:,73) = ALGEBRAIC(:,61) - ALGEBRAIC(:,69);
    RATES(:,16) = ALGEBRAIC(:,73);
    ALGEBRAIC(:,20) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,25).*STATES(:,17));
    ALGEBRAIC(:,36) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,5) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,40).*STATES(:,6));
    ALGEBRAIC(:,21) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,26).*STATES(:,9));
    ALGEBRAIC(:,75) = ALGEBRAIC(:,21)+ALGEBRAIC(:,5);
    ALGEBRAIC(:,77) =  CONSTANTS(:,10).*(exp(ALGEBRAIC(:,36)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,78) = ALGEBRAIC(:,77);
    RATES(:,6) = ALGEBRAIC(:,78);
    ALGEBRAIC(:,31) = ALGEBRAIC(:,15);
    ALGEBRAIC(:,74) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,76) =  CONSTANTS(:,19).*(exp(ALGEBRAIC(:,31)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,74)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,80) = ALGEBRAIC(:,68) - ALGEBRAIC(:,76);
    RATES(:,11) = ALGEBRAIC(:,80);
    ALGEBRAIC(:,81) =  - ALGEBRAIC(:,41)+ALGEBRAIC(:,76);
    RATES(:,12) = ALGEBRAIC(:,81);
    ALGEBRAIC(:,82) = ALGEBRAIC(:,69) - ALGEBRAIC(:,77);
    RATES(:,17) = ALGEBRAIC(:,82);
    ALGEBRAIC(:,37) = ALGEBRAIC(:,21);
    ALGEBRAIC(:,22) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,27).*STATES(:,22));
    ALGEBRAIC(:,79) = ALGEBRAIC(:,22);
    ALGEBRAIC(:,83) =  CONSTANTS(:,11).*(exp(ALGEBRAIC(:,37)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,79)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,85) = ALGEBRAIC(:,77) - ALGEBRAIC(:,83);
    RATES(:,9) = ALGEBRAIC(:,85);
    ALGEBRAIC(:,38) = ALGEBRAIC(:,22);
    ALGEBRAIC(:,84) =  CONSTANTS(:,44).*ALGEBRAIC(:,1)+ CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,38).*STATES(:,3))+ CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,28).*STATES(:,23));
    ALGEBRAIC(:,86) =  CONSTANTS(:,12).*(exp(ALGEBRAIC(:,38)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,84)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,87) =  CONSTANTS(:,44).*ALGEBRAIC(:,86)+ CONSTANTS(:,43).*ALGEBRAIC(:,69);
    RATES(:,24) = ALGEBRAIC(:,87);
    ALGEBRAIC(:,88) =  - ALGEBRAIC(:,86)+ALGEBRAIC(:,83);
    RATES(:,22) = ALGEBRAIC(:,88);
    ALGEBRAIC(:,23) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,28).*STATES(:,23));
    ALGEBRAIC(:,39) = ALGEBRAIC(:,23);
    ALGEBRAIC(:,89) = ALGEBRAIC(:,10)+ALGEBRAIC(:,7);
    ALGEBRAIC(:,90) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,39)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,89)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,91) = ALGEBRAIC(:,86)+ALGEBRAIC(:,90)+ALGEBRAIC(:,43);
    RATES(:,3) = ALGEBRAIC(:,91);
    ALGEBRAIC(:,92) = ALGEBRAIC(:,90) - ALGEBRAIC(:,43);
    RATES(:,18) = ALGEBRAIC(:,92);
    ALGEBRAIC(:,93) = ALGEBRAIC(:,86) - ALGEBRAIC(:,90);
    RATES(:,23) = ALGEBRAIC(:,93);
   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(:,9) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,20).*STATES(:,12));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,4) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,35).*STATES(:,2));
    ALGEBRAIC(:,16) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,21).*STATES(:,13));
    ALGEBRAIC(:,40) = ALGEBRAIC(:,4)+ALGEBRAIC(:,16);
    ALGEBRAIC(:,41) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,25)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,40)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,32) = ALGEBRAIC(:,16);
    ALGEBRAIC(:,17) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,22).*STATES(:,14));
    ALGEBRAIC(:,44) = ALGEBRAIC(:,17)+ALGEBRAIC(:,4);
    ALGEBRAIC(:,46) =  CONSTANTS(:,6).*(exp(ALGEBRAIC(:,32)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,48) = ALGEBRAIC(:,41)+ALGEBRAIC(:,46);
    ALGEBRAIC(:,50) =  - ALGEBRAIC(:,46)+ALGEBRAIC(:,41);
    ALGEBRAIC(:,10) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,29).*STATES(:,18));
    ALGEBRAIC(:,26) = ALGEBRAIC(:,10);
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,38).*STATES(:,3));
    ALGEBRAIC(:,11) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,30).*STATES(:,19));
    ALGEBRAIC(:,42) = ALGEBRAIC(:,7)+ALGEBRAIC(:,11);
    ALGEBRAIC(:,43) =  CONSTANTS(:,14).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,42)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,3) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,36).*STATES(:,1));
    ALGEBRAIC(:,27) = ALGEBRAIC(:,11)+ALGEBRAIC(:,3);
    ALGEBRAIC(:,12) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,31).*STATES(:,20));
    ALGEBRAIC(:,45) = ALGEBRAIC(:,12);
    ALGEBRAIC(:,47) =  CONSTANTS(:,15).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,51) = ALGEBRAIC(:,43) - ALGEBRAIC(:,47);
    ALGEBRAIC(:,28) = ALGEBRAIC(:,12)+ALGEBRAIC(:,3);
    ALGEBRAIC(:,13) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,32).*STATES(:,21));
    ALGEBRAIC(:,52) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,54) =  CONSTANTS(:,16).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,52)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,55) =  - ALGEBRAIC(:,47) - ALGEBRAIC(:,54);
    ALGEBRAIC(:,8) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,37).*STATES(:,4));
    ALGEBRAIC(:,33) = ALGEBRAIC(:,17)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,18) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,23).*STATES(:,15));
    ALGEBRAIC(:,49) = ALGEBRAIC(:,18);
    ALGEBRAIC(:,53) =  CONSTANTS(:,7).*(exp(ALGEBRAIC(:,33)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,49)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,57) = ALGEBRAIC(:,46) - ALGEBRAIC(:,53);
    ALGEBRAIC(:,58) =  - ALGEBRAIC(:,54)+ALGEBRAIC(:,47);
    ALGEBRAIC(:,29) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,2) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,42).*STATES(:,5));
    ALGEBRAIC(:,24) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,41).*STATES(:,8));
    ALGEBRAIC(:,14) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,33).*STATES(:,10));
    ALGEBRAIC(:,59) = ALGEBRAIC(:,2)+ALGEBRAIC(:,24)+ALGEBRAIC(:,14);
    ALGEBRAIC(:,60) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,29)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,59)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,62) = ALGEBRAIC(:,60);
    ALGEBRAIC(:,63) = ALGEBRAIC(:,60);
    ALGEBRAIC(:,34) = ALGEBRAIC(:,18)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,19) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,24).*STATES(:,16));
    ALGEBRAIC(:,56) = ALGEBRAIC(:,19);
    ALGEBRAIC(:,61) =  CONSTANTS(:,8).*(exp(ALGEBRAIC(:,34)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,56)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,64) = ALGEBRAIC(:,53) - ALGEBRAIC(:,61);
    ALGEBRAIC(:,65) = ALGEBRAIC(:,54) - ALGEBRAIC(:,60);
    ALGEBRAIC(:,35) = ALGEBRAIC(:,19)+ALGEBRAIC(:,8);
    ALGEBRAIC(:,1) = STATES(:,24)./CONSTANTS(:,4);
    ALGEBRAIC(:,67) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,25).*STATES(:,17))+ CONSTANTS(:,43).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,69) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,67)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,70) =  - ALGEBRAIC(:,53) - (ALGEBRAIC(:,61)+ALGEBRAIC(:,69));
    ALGEBRAIC(:,6) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,39).*STATES(:,7));
    ALGEBRAIC(:,30) = ALGEBRAIC(:,14)+ALGEBRAIC(:,6);
    ALGEBRAIC(:,15) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,34).*STATES(:,11));
    ALGEBRAIC(:,66) = ALGEBRAIC(:,15);
    ALGEBRAIC(:,68) =  CONSTANTS(:,18).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,66)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,71) =  - ALGEBRAIC(:,68);
    ALGEBRAIC(:,72) =  - ALGEBRAIC(:,68)+ALGEBRAIC(:,60);
    ALGEBRAIC(:,73) = ALGEBRAIC(:,61) - ALGEBRAIC(:,69);
    ALGEBRAIC(:,20) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,25).*STATES(:,17));
    ALGEBRAIC(:,36) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,5) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,40).*STATES(:,6));
    ALGEBRAIC(:,21) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,26).*STATES(:,9));
    ALGEBRAIC(:,75) = ALGEBRAIC(:,21)+ALGEBRAIC(:,5);
    ALGEBRAIC(:,77) =  CONSTANTS(:,10).*(exp(ALGEBRAIC(:,36)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,78) = ALGEBRAIC(:,77);
    ALGEBRAIC(:,31) = ALGEBRAIC(:,15);
    ALGEBRAIC(:,74) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,76) =  CONSTANTS(:,19).*(exp(ALGEBRAIC(:,31)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,74)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,80) = ALGEBRAIC(:,68) - ALGEBRAIC(:,76);
    ALGEBRAIC(:,81) =  - ALGEBRAIC(:,41)+ALGEBRAIC(:,76);
    ALGEBRAIC(:,82) = ALGEBRAIC(:,69) - ALGEBRAIC(:,77);
    ALGEBRAIC(:,37) = ALGEBRAIC(:,21);
    ALGEBRAIC(:,22) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,27).*STATES(:,22));
    ALGEBRAIC(:,79) = ALGEBRAIC(:,22);
    ALGEBRAIC(:,83) =  CONSTANTS(:,11).*(exp(ALGEBRAIC(:,37)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,79)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,85) = ALGEBRAIC(:,77) - ALGEBRAIC(:,83);
    ALGEBRAIC(:,38) = ALGEBRAIC(:,22);
    ALGEBRAIC(:,84) =  CONSTANTS(:,44).*ALGEBRAIC(:,1)+ CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,38).*STATES(:,3))+ CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,28).*STATES(:,23));
    ALGEBRAIC(:,86) =  CONSTANTS(:,12).*(exp(ALGEBRAIC(:,38)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,84)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,87) =  CONSTANTS(:,44).*ALGEBRAIC(:,86)+ CONSTANTS(:,43).*ALGEBRAIC(:,69);
    ALGEBRAIC(:,88) =  - ALGEBRAIC(:,86)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,23) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,28).*STATES(:,23));
    ALGEBRAIC(:,39) = ALGEBRAIC(:,23);
    ALGEBRAIC(:,89) = ALGEBRAIC(:,10)+ALGEBRAIC(:,7);
    ALGEBRAIC(:,90) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,39)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,89)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,91) = ALGEBRAIC(:,86)+ALGEBRAIC(:,90)+ALGEBRAIC(:,43);
    ALGEBRAIC(:,92) = ALGEBRAIC(:,90) - ALGEBRAIC(:,43);
    ALGEBRAIC(:,93) = ALGEBRAIC(:,86) - ALGEBRAIC(:,90);
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