
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 =66;
end
% There are a total of 23 entries in each of the rate and state variable arrays.
% There are a total of 72 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('q_RB1_inactive_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,2) = strpad('q_L_RB1_inactive_init in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,1) = strpad('q_LB1_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,3) = strpad('q_RB1_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,4) = strpad('q_Gs_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,5) = strpad('q_RB1_Gs_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,6) = strpad('q_L_RB1_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,7) = strpad('q_L_RB1_Gs_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,8) = strpad('q_Gsa_GTP_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,9) = strpad('q_Gsbetagamma_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,10) = strpad('q_Gsa_GDP_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,11) = strpad('q_Pi_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,12) = strpad('q_RB1_aby_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,13) = strpad('q_RB1_abyT_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,14) = strpad('q_L_RB1_aby_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,15) = strpad('q_L_RB1_abyT_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,16) = strpad('q_GTP_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,17) = strpad('q_GDP_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,18) = strpad('q_RB1_tag_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,19) = strpad('q_L_RB1_tag_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,20) = strpad('q_RB1_GRKArr_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,21) = strpad('q_L_RB1_GRKArr_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,22) = strpad('q_GRKArr_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,23) = strpad('stimSt in component environment (second)');
    LEGEND_CONSTANTS(:,24) = strpad('stimDur in component environment (second)');
    LEGEND_CONSTANTS(:,25) = strpad('tR in component environment (second)');
    LEGEND_CONSTANTS(:,26) = strpad('stimMag in component environment (fmol)');
    LEGEND_CONSTANTS(:,27) = strpad('stimHolding in component environment (fmol)');
    LEGEND_CONSTANTS(:,71) = strpad('m in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,2) = strpad('q_RB1_inactive in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,3) = strpad('q_L_RB1_inactive in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,4) = strpad('q_LB1 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('q_RB1 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('q_Gs in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,7) = strpad('q_RB1_Gs in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('q_L_RB1 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('q_L_RB1_Gs in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('q_Gsa_GTP in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('q_Gsbetagamma in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,12) = strpad('q_Gsa_GDP in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,13) = strpad('q_Pi in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('q_RB1_aby in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,15) = strpad('q_RB1_abyT in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,16) = strpad('q_L_RB1_aby in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,17) = strpad('q_L_RB1_abyT in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('q_GTP in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,20) = strpad('q_GDP in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('q_RB1_tag in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('q_L_RB1_tag in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,23) = strpad('q_RB1_GRKArr in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,24) = strpad('q_L_RB1_GRKArr in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,27) = strpad('q_GRKArr in component environment (fmol)');
    LEGEND_STATES(:,1) = strpad('q_RB1_inactive in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,2) = strpad('q_L_RB1_inactive in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,3) = strpad('q_LB1 in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,4) = strpad('q_RB1 in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,5) = strpad('q_Gs in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,6) = strpad('q_RB1_Gs in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,7) = strpad('q_L_RB1 in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,8) = strpad('q_L_RB1_Gs in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,9) = strpad('q_Gsa_GTP in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,10) = strpad('q_Gsbetagamma in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,11) = strpad('q_Gsa_GDP in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,12) = strpad('q_Pi in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,13) = strpad('q_RB1_aby in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,14) = strpad('q_RB1_abyT in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,15) = strpad('q_L_RB1_aby in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,16) = strpad('q_L_RB1_abyT in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,17) = strpad('q_GTP in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,18) = strpad('q_GDP in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,19) = strpad('q_RB1_tag in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,20) = strpad('q_L_RB1_tag in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,21) = strpad('q_RB1_GRKArr in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,22) = strpad('q_L_RB1_GRKArr in component GPCR_B1AR (fmol)');
    LEGEND_STATES(:,23) = strpad('q_GRKArr in component GPCR_B1AR (fmol)');
    LEGEND_ALGEBRAIC(:,25) = strpad('conserv_R_T in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,26) = strpad('conserv_L_T in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('conserv_G_T in component environment (fmol)');
    LEGEND_CONSTANTS(:,72) = strpad('total_R_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,28) = strpad('kappa_Rswitch_B1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,29) = strpad('kappa_LRswitch_B1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,30) = strpad('kappa_C_B1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,31) = strpad('kappa_R_B1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,32) = strpad('kappa_L_B1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,33) = strpad('kappa_Doff1_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,34) = strpad('kappa_Ton1_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,35) = strpad('kappa_Act1_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,36) = strpad('kappa_Doff2_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,37) = strpad('kappa_Ton2_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,38) = strpad('kappa_Act2_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,39) = strpad('kappa_Hyd_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,40) = strpad('kappa_Reassoc_Gs in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,41) = strpad('kappa_PiPhos in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,42) = strpad('kappa_InternRB1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,43) = strpad('kappa_InternL_RB1 in component GPCR_B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,44) = strpad('K_RB1_inactive in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,45) = strpad('K_L_RB1_inactive in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,46) = strpad('K_LB1 in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,47) = strpad('K_RB1 in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,48) = strpad('K_Gs in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,49) = strpad('K_RB1_Gs in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,50) = strpad('K_L_RB1 in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,51) = strpad('K_L_RB1_Gs in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,52) = strpad('K_Gsa_GTP in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,53) = strpad('K_Gsbetagamma in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,54) = strpad('K_Gsa_GDP in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,55) = strpad('K_Pi in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,56) = strpad('K_RB1_aby in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,57) = strpad('K_RB1_abyT in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,58) = strpad('K_L_RB1_aby in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,59) = strpad('K_L_RB1_abyT in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,60) = strpad('K_GTP in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,61) = strpad('K_GDP in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,62) = strpad('K_RB1_tag in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,63) = strpad('K_L_RB1_tag in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,64) = strpad('K_RB1_GRKArr in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,65) = strpad('K_L_RB1_GRKArr in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,66) = strpad('K_GRKArr in component GPCR_B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,67) = strpad('R in component constants (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,68) = strpad('T in component constants (kelvin)');
    LEGEND_ALGEBRAIC(:,28) = strpad('mu_RB1_inactive in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,29) = strpad('mu_L_RB1_inactive in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,30) = strpad('mu_LB1 in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,31) = strpad('mu_RB1 in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,32) = strpad('mu_Gs in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,33) = strpad('mu_RB1_Gs in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,34) = strpad('mu_L_RB1 in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,35) = strpad('mu_L_RB1_Gs in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,36) = strpad('mu_Gsa_GTP in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,37) = strpad('mu_Gsbetagamma in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,38) = strpad('mu_Gsa_GDP in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,39) = strpad('mu_Pi in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,40) = strpad('mu_RB1_aby in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,41) = strpad('mu_RB1_abyT in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,42) = strpad('mu_L_RB1_aby in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,43) = strpad('mu_L_RB1_abyT in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,44) = strpad('mu_GTP in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,45) = strpad('mu_GDP in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,46) = strpad('mu_RB1_tag in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,47) = strpad('mu_L_RB1_tag in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,48) = strpad('mu_RB1_GRKArr in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,49) = strpad('mu_L_RB1_GRKArr in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,50) = strpad('mu_GRKArr in component GPCR_B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,51) = strpad('v_Rswitch_B1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,52) = strpad('v_LRswitch_B1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,53) = strpad('v_C_B1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,55) = strpad('v_R_B1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,54) = strpad('v_L_B1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,56) = strpad('v_Doff1_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,57) = strpad('v_Ton1_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,58) = strpad('v_Act1_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,59) = strpad('v_Doff2_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,60) = strpad('v_Ton2_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,61) = strpad('v_Act2_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,62) = strpad('v_Hyd_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,64) = strpad('v_Reassoc_Gs in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,65) = strpad('v_PiPhos in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,63) = strpad('v_InternRB1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,66) = strpad('v_InternL_RB1 in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_CONSTANTS(:,69) = strpad('v_Rsynthesis in component GPCR_B1AR (fmol_per_sec)');
    LEGEND_CONSTANTS(:,70) = strpad('F in component constants (C_per_mol)');
    LEGEND_RATES(:,1) = strpad('d/dt q_RB1_inactive in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_L_RB1_inactive in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_LB1 in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_RB1 in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt q_Gs in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_RB1_Gs in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_L_RB1 in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_L_RB1_Gs in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,9) = strpad('d/dt q_Gsa_GTP in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_Gsbetagamma in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_Gsa_GDP in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,12) = strpad('d/dt q_Pi in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,13) = strpad('d/dt q_RB1_aby in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,14) = strpad('d/dt q_RB1_abyT in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,15) = strpad('d/dt q_L_RB1_aby in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,16) = strpad('d/dt q_L_RB1_abyT in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,17) = strpad('d/dt q_GTP in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,18) = strpad('d/dt q_GDP in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,19) = strpad('d/dt q_RB1_tag in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,20) = strpad('d/dt q_L_RB1_tag in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,21) = strpad('d/dt q_RB1_GRKArr in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,22) = strpad('d/dt q_L_RB1_GRKArr in component GPCR_B1AR (fmol)');
    LEGEND_RATES(:,23) = strpad('d/dt q_GRKArr in component GPCR_B1AR (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) = 0.4579000;
    CONSTANTS(:,2) = 1e-18;
    CONSTANTS(:,3) = 1e-18;
    CONSTANTS(:,4) = 1.455400000;
    CONSTANTS(:,5) = 1e-18;
    CONSTANTS(:,6) = 1e-18;
    CONSTANTS(:,7) = 1e-18;
    CONSTANTS(:,8) = 0.02;
    CONSTANTS(:,9) = 0.02;
    CONSTANTS(:,10) = 0.02;
    CONSTANTS(:,11) = 570;
    CONSTANTS(:,12) = 1e-18;
    CONSTANTS(:,13) = 1e-18;
    CONSTANTS(:,14) = 1e-18;
    CONSTANTS(:,15) = 1e-18;
    CONSTANTS(:,16) = 2.2e0;
    CONSTANTS(:,17) = 1.1e0;
    CONSTANTS(:,18) = 1e-18;
    CONSTANTS(:,19) = 1e-18;
    CONSTANTS(:,20) = 1e-18;
    CONSTANTS(:,21) = 1e-18;
    CONSTANTS(:,22) = 1;
    CONSTANTS(:,23) = 1e-5;
    CONSTANTS(:,24) = 5e-5;
    CONSTANTS(:,25) = 5e-5;
    CONSTANTS(:,26) = 1e-1;
    CONSTANTS(:,27) = 1e-8;
    STATES(:,1) = 1e-16;
    STATES(:,2) = 1e-16;
    STATES(:,3) = 1e-16;
    STATES(:,4) = 1e-16;
    STATES(:,5) = 1e-16;
    STATES(:,6) = 1e-16;
    STATES(:,7) = 1e-16;
    STATES(:,8) = 1e-16;
    STATES(:,9) = 1e-16;
    STATES(:,10) = 1e-16;
    STATES(:,11) = 1e-16;
    STATES(:,12) = 1e-16;
    STATES(:,13) = 1e-16;
    STATES(:,14) = 1e-16;
    STATES(:,15) = 1e-16;
    STATES(:,16) = 1e-16;
    STATES(:,17) = 1e-16;
    STATES(:,18) = 1e-16;
    STATES(:,19) = 1e-16;
    STATES(:,20) = 1e-16;
    STATES(:,21) = 1e-16;
    STATES(:,22) = 1e-16;
    STATES(:,23) = 1e-16;
    CONSTANTS(:,28) = 2.78295e-08;
    CONSTANTS(:,29) = 2.29349e-13;
    CONSTANTS(:,30) = 0.00124719;
    CONSTANTS(:,31) = 0.0102784;
    CONSTANTS(:,32) = 6.53644e-14;
    CONSTANTS(:,33) = 3.77936e-05;
    CONSTANTS(:,34) = 1.89861;
    CONSTANTS(:,35) = 303777;
    CONSTANTS(:,36) = 0.16578;
    CONSTANTS(:,37) = 8328.15;
    CONSTANTS(:,38) = 1.3325e+09;
    CONSTANTS(:,39) = 5.22927e-08;
    CONSTANTS(:,40) = 4.48153;
    CONSTANTS(:,41) = 2.39883e-05;
    CONSTANTS(:,42) = 232.462;
    CONSTANTS(:,43) = 1.01968e+06;
    CONSTANTS(:,44) = 1.04457e+10;
    CONSTANTS(:,45) = 1.26749e+15;
    CONSTANTS(:,46) = 12376.7;
    CONSTANTS(:,47) = 1.04457e+08;
    CONSTANTS(:,48) = 6.48657e-05;
    CONSTANTS(:,49) = 7.69172e+06;
    CONSTANTS(:,50) = 1.26749e+07;
    CONSTANTS(:,51) = 1753.52;
    CONSTANTS(:,52) = 444724;
    CONSTANTS(:,53) = 8.17005e+06;
    CONSTANTS(:,54) = 2.79265e-08;
    CONSTANTS(:,55) = 5.78662e+09;
    CONSTANTS(:,56) = 36.7288;
    CONSTANTS(:,57) = 1.53111e-06;
    CONSTANTS(:,58) = 0.00837323;
    CONSTANTS(:,59) = 3.49054e-10;
    CONSTANTS(:,60) = 0.121183;
    CONSTANTS(:,61) = 6.08777e-05;
    CONSTANTS(:,62) = 2.22564e-25;
    CONSTANTS(:,63) = 5.07389e-29;
    CONSTANTS(:,64) = 1.25052e-08;
    CONSTANTS(:,65) = 2.85086e-12;
    CONSTANTS(:,66) = 1.63334e+23;
    CONSTANTS(:,67) = 8.31;
    CONSTANTS(:,68) = 310;
    CONSTANTS(:,69) = 1e-2;
    CONSTANTS(:,70) = 96485;
    CONSTANTS(:,71) = CONSTANTS(:,26)./CONSTANTS(:,25);
    CONSTANTS(:,72) = CONSTANTS(:,1)+CONSTANTS(:,2)+CONSTANTS(:,3)+CONSTANTS(:,5)+CONSTANTS(:,6)+CONSTANTS(:,7)+CONSTANTS(:,12)+CONSTANTS(:,13)+CONSTANTS(:,14)+CONSTANTS(:,15)+CONSTANTS(:,18)+CONSTANTS(:,19)+CONSTANTS(:,20)+CONSTANTS(:,21);
    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(:,1)+CONSTANTS(:,1);
    ALGEBRAIC(:,28) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,44).*ALGEBRAIC(:,2));
    ALGEBRAIC(:,5) = STATES(:,4)+CONSTANTS(:,3);
    ALGEBRAIC(:,31) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,47).*ALGEBRAIC(:,5));
    ALGEBRAIC(:,51) =  CONSTANTS(:,28).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,3) = STATES(:,2)+CONSTANTS(:,2);
    ALGEBRAIC(:,29) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,45).*ALGEBRAIC(:,3));
    ALGEBRAIC(:,1) = piecewise({VOI<CONSTANTS(:,23)&VOI>CONSTANTS(:,23) - CONSTANTS(:,25), CONSTANTS(:,27)+ CONSTANTS(:,71).*((VOI - CONSTANTS(:,23))+CONSTANTS(:,25)) , VOI>=CONSTANTS(:,23)&VOI<CONSTANTS(:,23)+CONSTANTS(:,24), CONSTANTS(:,26)+CONSTANTS(:,27) , VOI<CONSTANTS(:,23)+CONSTANTS(:,25)+CONSTANTS(:,24)&VOI>=CONSTANTS(:,23)+CONSTANTS(:,24), CONSTANTS(:,27)+  - CONSTANTS(:,71).*(((VOI - CONSTANTS(:,23)) - CONSTANTS(:,25)) - CONSTANTS(:,24)) }, CONSTANTS(:,27));
    ALGEBRAIC(:,4) = STATES(:,3)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,30) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,46).*ALGEBRAIC(:,4));
    ALGEBRAIC(:,54) =  CONSTANTS(:,32).*(exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,30))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,1) =  - ALGEBRAIC(:,51) - ALGEBRAIC(:,54);
    ALGEBRAIC(:,8) = STATES(:,7)+CONSTANTS(:,6);
    ALGEBRAIC(:,34) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,50).*ALGEBRAIC(:,8));
    ALGEBRAIC(:,52) =  CONSTANTS(:,29).*(exp(ALGEBRAIC(:,29)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,34)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,2) = ALGEBRAIC(:,54) - ALGEBRAIC(:,52);
    RATES(:,3) =  - ALGEBRAIC(:,54);
    ALGEBRAIC(:,6) = STATES(:,5)+CONSTANTS(:,4);
    ALGEBRAIC(:,32) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,48).*ALGEBRAIC(:,6));
    ALGEBRAIC(:,7) = STATES(:,6)+CONSTANTS(:,5);
    ALGEBRAIC(:,33) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,49).*ALGEBRAIC(:,7));
    ALGEBRAIC(:,53) =  CONSTANTS(:,30).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,32))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,33)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,4) = ALGEBRAIC(:,51) - ALGEBRAIC(:,53);
    ALGEBRAIC(:,9) = STATES(:,8)+CONSTANTS(:,7);
    ALGEBRAIC(:,35) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,51).*ALGEBRAIC(:,9));
    ALGEBRAIC(:,55) =  CONSTANTS(:,31).*(exp((ALGEBRAIC(:,34)+ALGEBRAIC(:,32))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,7) =  - ALGEBRAIC(:,55)+ALGEBRAIC(:,52);
    RATES(:,8) = ALGEBRAIC(:,55);
    ALGEBRAIC(:,14) = STATES(:,13)+CONSTANTS(:,12);
    ALGEBRAIC(:,40) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,56).*ALGEBRAIC(:,14));
    ALGEBRAIC(:,20) = STATES(:,18)+CONSTANTS(:,17);
    ALGEBRAIC(:,45) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,61).*ALGEBRAIC(:,20));
    ALGEBRAIC(:,56) =  CONSTANTS(:,33).*(exp(ALGEBRAIC(:,33)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,40)+ALGEBRAIC(:,45))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,6) = ALGEBRAIC(:,53) - ALGEBRAIC(:,56);
    ALGEBRAIC(:,15) = STATES(:,14)+CONSTANTS(:,13);
    ALGEBRAIC(:,41) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,57).*ALGEBRAIC(:,15));
    ALGEBRAIC(:,19) = STATES(:,17)+CONSTANTS(:,16);
    ALGEBRAIC(:,44) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,60).*ALGEBRAIC(:,19));
    ALGEBRAIC(:,57) =  CONSTANTS(:,34).*(exp((ALGEBRAIC(:,40)+ALGEBRAIC(:,44))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,41)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,13) = ALGEBRAIC(:,56) - ALGEBRAIC(:,57);
    ALGEBRAIC(:,10) = STATES(:,9)+CONSTANTS(:,8);
    ALGEBRAIC(:,36) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,52).*ALGEBRAIC(:,10));
    ALGEBRAIC(:,11) = STATES(:,10)+CONSTANTS(:,9);
    ALGEBRAIC(:,37) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,53).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,21) = STATES(:,19)+CONSTANTS(:,18);
    ALGEBRAIC(:,46) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,62).*ALGEBRAIC(:,21));
    ALGEBRAIC(:,58) =  CONSTANTS(:,35).*(exp(ALGEBRAIC(:,41)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,46))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,14) = ALGEBRAIC(:,57) - ALGEBRAIC(:,58);
    ALGEBRAIC(:,16) = STATES(:,15)+CONSTANTS(:,14);
    ALGEBRAIC(:,42) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,58).*ALGEBRAIC(:,16));
    ALGEBRAIC(:,59) =  CONSTANTS(:,36).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,45))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,17) = STATES(:,16)+CONSTANTS(:,15);
    ALGEBRAIC(:,43) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,59).*ALGEBRAIC(:,17));
    ALGEBRAIC(:,60) =  CONSTANTS(:,37).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,44))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,43)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,15) = ALGEBRAIC(:,59) - ALGEBRAIC(:,60);
    ALGEBRAIC(:,22) = STATES(:,20)+CONSTANTS(:,19);
    ALGEBRAIC(:,47) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,63).*ALGEBRAIC(:,22));
    ALGEBRAIC(:,61) =  CONSTANTS(:,38).*(exp(ALGEBRAIC(:,43)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,47))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,16) = ALGEBRAIC(:,60) - ALGEBRAIC(:,61);
    ALGEBRAIC(:,12) = STATES(:,11)+CONSTANTS(:,10);
    ALGEBRAIC(:,38) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,54).*ALGEBRAIC(:,12));
    ALGEBRAIC(:,13) = STATES(:,12)+CONSTANTS(:,11);
    ALGEBRAIC(:,39) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,55).*ALGEBRAIC(:,13));
    ALGEBRAIC(:,62) =  CONSTANTS(:,39).*(exp(ALGEBRAIC(:,36)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,38)+ALGEBRAIC(:,39))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,9) = (ALGEBRAIC(:,58)+ALGEBRAIC(:,61)) - ALGEBRAIC(:,62);
    ALGEBRAIC(:,23) = STATES(:,21)+CONSTANTS(:,20);
    ALGEBRAIC(:,48) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,64).*ALGEBRAIC(:,23));
    ALGEBRAIC(:,27) = STATES(:,23)+CONSTANTS(:,22);
    ALGEBRAIC(:,50) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,66).*ALGEBRAIC(:,27));
    ALGEBRAIC(:,63) =  1.00000.*CONSTANTS(:,42).*(exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,50))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,48)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,19) = ALGEBRAIC(:,58) - ALGEBRAIC(:,63);
    RATES(:,21) = ALGEBRAIC(:,63);
    ALGEBRAIC(:,64) =  CONSTANTS(:,40).*(exp((ALGEBRAIC(:,38)+ALGEBRAIC(:,37))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,32)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,5) = ( - ALGEBRAIC(:,53) - ALGEBRAIC(:,55))+ALGEBRAIC(:,64);
    RATES(:,10) = (ALGEBRAIC(:,58)+ALGEBRAIC(:,61)) - ALGEBRAIC(:,64);
    RATES(:,11) = ALGEBRAIC(:,62) - ALGEBRAIC(:,64);
    ALGEBRAIC(:,65) =  CONSTANTS(:,41).*(exp((ALGEBRAIC(:,45)+ALGEBRAIC(:,39))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,12) = ALGEBRAIC(:,62) - ALGEBRAIC(:,65);
    RATES(:,17) = ( - ALGEBRAIC(:,57) - ALGEBRAIC(:,60))+ALGEBRAIC(:,65);
    RATES(:,18) = (ALGEBRAIC(:,56)+ALGEBRAIC(:,59)) - ALGEBRAIC(:,65);
    ALGEBRAIC(:,24) = STATES(:,22)+CONSTANTS(:,21);
    ALGEBRAIC(:,49) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,65).*ALGEBRAIC(:,24));
    ALGEBRAIC(:,66) =  1.00000.*CONSTANTS(:,43).*(exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,50))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,49)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    RATES(:,20) = ALGEBRAIC(:,61) - ALGEBRAIC(:,66);
    RATES(:,22) = ALGEBRAIC(:,66);
    RATES(:,23) =  - ALGEBRAIC(:,63) - ALGEBRAIC(:,66);
   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(:,1)+CONSTANTS(:,1);
    ALGEBRAIC(:,28) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,44).*ALGEBRAIC(:,2));
    ALGEBRAIC(:,5) = STATES(:,4)+CONSTANTS(:,3);
    ALGEBRAIC(:,31) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,47).*ALGEBRAIC(:,5));
    ALGEBRAIC(:,51) =  CONSTANTS(:,28).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,3) = STATES(:,2)+CONSTANTS(:,2);
    ALGEBRAIC(:,29) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,45).*ALGEBRAIC(:,3));
    ALGEBRAIC(:,1) = piecewise({VOI<CONSTANTS(:,23)&VOI>CONSTANTS(:,23) - CONSTANTS(:,25), CONSTANTS(:,27)+ CONSTANTS(:,71).*((VOI - CONSTANTS(:,23))+CONSTANTS(:,25)) , VOI>=CONSTANTS(:,23)&VOI<CONSTANTS(:,23)+CONSTANTS(:,24), CONSTANTS(:,26)+CONSTANTS(:,27) , VOI<CONSTANTS(:,23)+CONSTANTS(:,25)+CONSTANTS(:,24)&VOI>=CONSTANTS(:,23)+CONSTANTS(:,24), CONSTANTS(:,27)+  - CONSTANTS(:,71).*(((VOI - CONSTANTS(:,23)) - CONSTANTS(:,25)) - CONSTANTS(:,24)) }, CONSTANTS(:,27));
    ALGEBRAIC(:,4) = STATES(:,3)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,30) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,46).*ALGEBRAIC(:,4));
    ALGEBRAIC(:,54) =  CONSTANTS(:,32).*(exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,30))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,8) = STATES(:,7)+CONSTANTS(:,6);
    ALGEBRAIC(:,34) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,50).*ALGEBRAIC(:,8));
    ALGEBRAIC(:,52) =  CONSTANTS(:,29).*(exp(ALGEBRAIC(:,29)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,34)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,6) = STATES(:,5)+CONSTANTS(:,4);
    ALGEBRAIC(:,32) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,48).*ALGEBRAIC(:,6));
    ALGEBRAIC(:,7) = STATES(:,6)+CONSTANTS(:,5);
    ALGEBRAIC(:,33) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,49).*ALGEBRAIC(:,7));
    ALGEBRAIC(:,53) =  CONSTANTS(:,30).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,32))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,33)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,9) = STATES(:,8)+CONSTANTS(:,7);
    ALGEBRAIC(:,35) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,51).*ALGEBRAIC(:,9));
    ALGEBRAIC(:,55) =  CONSTANTS(:,31).*(exp((ALGEBRAIC(:,34)+ALGEBRAIC(:,32))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,14) = STATES(:,13)+CONSTANTS(:,12);
    ALGEBRAIC(:,40) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,56).*ALGEBRAIC(:,14));
    ALGEBRAIC(:,20) = STATES(:,18)+CONSTANTS(:,17);
    ALGEBRAIC(:,45) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,61).*ALGEBRAIC(:,20));
    ALGEBRAIC(:,56) =  CONSTANTS(:,33).*(exp(ALGEBRAIC(:,33)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,40)+ALGEBRAIC(:,45))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,15) = STATES(:,14)+CONSTANTS(:,13);
    ALGEBRAIC(:,41) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,57).*ALGEBRAIC(:,15));
    ALGEBRAIC(:,19) = STATES(:,17)+CONSTANTS(:,16);
    ALGEBRAIC(:,44) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,60).*ALGEBRAIC(:,19));
    ALGEBRAIC(:,57) =  CONSTANTS(:,34).*(exp((ALGEBRAIC(:,40)+ALGEBRAIC(:,44))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,41)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,10) = STATES(:,9)+CONSTANTS(:,8);
    ALGEBRAIC(:,36) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,52).*ALGEBRAIC(:,10));
    ALGEBRAIC(:,11) = STATES(:,10)+CONSTANTS(:,9);
    ALGEBRAIC(:,37) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,53).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,21) = STATES(:,19)+CONSTANTS(:,18);
    ALGEBRAIC(:,46) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,62).*ALGEBRAIC(:,21));
    ALGEBRAIC(:,58) =  CONSTANTS(:,35).*(exp(ALGEBRAIC(:,41)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,46))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,16) = STATES(:,15)+CONSTANTS(:,14);
    ALGEBRAIC(:,42) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,58).*ALGEBRAIC(:,16));
    ALGEBRAIC(:,59) =  CONSTANTS(:,36).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,45))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,17) = STATES(:,16)+CONSTANTS(:,15);
    ALGEBRAIC(:,43) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,59).*ALGEBRAIC(:,17));
    ALGEBRAIC(:,60) =  CONSTANTS(:,37).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,44))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,43)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,22) = STATES(:,20)+CONSTANTS(:,19);
    ALGEBRAIC(:,47) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,63).*ALGEBRAIC(:,22));
    ALGEBRAIC(:,61) =  CONSTANTS(:,38).*(exp(ALGEBRAIC(:,43)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,47))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,12) = STATES(:,11)+CONSTANTS(:,10);
    ALGEBRAIC(:,38) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,54).*ALGEBRAIC(:,12));
    ALGEBRAIC(:,13) = STATES(:,12)+CONSTANTS(:,11);
    ALGEBRAIC(:,39) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,55).*ALGEBRAIC(:,13));
    ALGEBRAIC(:,62) =  CONSTANTS(:,39).*(exp(ALGEBRAIC(:,36)./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp((ALGEBRAIC(:,38)+ALGEBRAIC(:,39))./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,23) = STATES(:,21)+CONSTANTS(:,20);
    ALGEBRAIC(:,48) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,64).*ALGEBRAIC(:,23));
    ALGEBRAIC(:,27) = STATES(:,23)+CONSTANTS(:,22);
    ALGEBRAIC(:,50) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,66).*ALGEBRAIC(:,27));
    ALGEBRAIC(:,63) =  1.00000.*CONSTANTS(:,42).*(exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,50))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,48)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,64) =  CONSTANTS(:,40).*(exp((ALGEBRAIC(:,38)+ALGEBRAIC(:,37))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,32)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,65) =  CONSTANTS(:,41).*(exp((ALGEBRAIC(:,45)+ALGEBRAIC(:,39))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,24) = STATES(:,22)+CONSTANTS(:,21);
    ALGEBRAIC(:,49) =  CONSTANTS(:,67).*CONSTANTS(:,68).*log( CONSTANTS(:,65).*ALGEBRAIC(:,24));
    ALGEBRAIC(:,66) =  1.00000.*CONSTANTS(:,43).*(exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,50))./( CONSTANTS(:,67).*CONSTANTS(:,68))) - exp(ALGEBRAIC(:,49)./( CONSTANTS(:,67).*CONSTANTS(:,68))));
    ALGEBRAIC(:,18) = ALGEBRAIC(:,6)+ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,10)+ALGEBRAIC(:,12)+ALGEBRAIC(:,14)+ALGEBRAIC(:,15)+ALGEBRAIC(:,16)+ALGEBRAIC(:,17);
    ALGEBRAIC(:,25) = ALGEBRAIC(:,2)+ALGEBRAIC(:,3)+ALGEBRAIC(:,5)+ALGEBRAIC(:,7)+ALGEBRAIC(:,8)+ALGEBRAIC(:,9)+ALGEBRAIC(:,14)+ALGEBRAIC(:,15)+ALGEBRAIC(:,16)+ALGEBRAIC(:,17)+ALGEBRAIC(:,21)+ALGEBRAIC(:,22)+ALGEBRAIC(:,23)+ALGEBRAIC(:,24);
    ALGEBRAIC(:,26) = ALGEBRAIC(:,3)+ALGEBRAIC(:,4)+ALGEBRAIC(:,8)+ALGEBRAIC(:,9)+ALGEBRAIC(:,16)+ALGEBRAIC(:,17)+ALGEBRAIC(:,22)+ALGEBRAIC(:,24);
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

