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 =89;
end
% There are a total of 19 entries in each of the rate and state variable arrays.
% There are a total of 79 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 (ms)');
    LEGEND_STATES(:,1) = strpad('V in component cell (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('R in component cell (joule_per_kilomole_kelvin)');
    LEGEND_CONSTANTS(:,2) = strpad('T in component cell (kelvin)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component cell (coulomb_per_mole)');
    LEGEND_ALGEBRAIC(:,4) = strpad('I_st in component cell (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,28) = strpad('i_Na in component fast_sodium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,75) = strpad('i_Ca_L in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,80) = strpad('i_Ca_T in component T_type_Ca_channel (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,44) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,77) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,55) = strpad('i_K_Na in component sodium_activated_potassium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,85) = strpad('i_NaCa in component Na_Ca_exchanger (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,50) = strpad('i_K1 in component time_independent_potassium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,45) = strpad('i_K_ATP in component ATP_sensitive_potassium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,46) = strpad('i_to in component transient_outward_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,52) = strpad('i_Kp in component plateau_potassium_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,78) = strpad('i_p_Ca in component sarcolemmal_calcium_pump (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,56) = strpad('i_Na_b in component sodium_background_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,81) = strpad('i_Ca_b in component calcium_background_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,58) = strpad('i_NaK in component sodium_potassium_pump (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,84) = strpad('i_ns_Ca in component non_specific_calcium_activated_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,86) = strpad('dVdt in component cell (microA_per_microF)');
    LEGEND_CONSTANTS(:,4) = strpad('stim_start in component cell (ms)');
    LEGEND_CONSTANTS(:,5) = strpad('stim_end in component cell (ms)');
    LEGEND_CONSTANTS(:,6) = strpad('stim_period in component cell (ms)');
    LEGEND_CONSTANTS(:,7) = strpad('stim_duration in component cell (ms)');
    LEGEND_CONSTANTS(:,8) = strpad('stim_amplitude in component cell (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,17) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,9) = strpad('g_Na in component fast_sodium_current (milliS_per_microF)');
    LEGEND_STATES(:,2) = strpad('Nai in component ionic_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,10) = strpad('Nao in component ionic_concentrations (millimolar)');
    LEGEND_STATES(:,3) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,4) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_STATES(:,5) = strpad('j in component fast_sodium_current_j_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,14) = strpad('alpha_m in component fast_sodium_current_m_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,27) = strpad('beta_m in component fast_sodium_current_m_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,1) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h in component fast_sodium_current_h_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,15) = strpad('beta_h in component fast_sodium_current_h_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,3) = strpad('alpha_j in component fast_sodium_current_j_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,16) = strpad('beta_j in component fast_sodium_current_j_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,70) = strpad('i_CaCa in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,73) = strpad('i_CaK in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,71) = strpad('i_CaNa in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_CONSTANTS(:,11) = strpad('gamma_Nai in component L_type_Ca_channel (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('gamma_Nao in component L_type_Ca_channel (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('gamma_Ki in component L_type_Ca_channel (dimensionless)');
    LEGEND_CONSTANTS(:,14) = strpad('gamma_Ko in component L_type_Ca_channel (dimensionless)');
    LEGEND_CONSTANTS(:,15) = strpad('gamma_Cai in component L_type_Ca_channel (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('gamma_Cao in component L_type_Ca_channel (dimensionless)');
    LEGEND_ALGEBRAIC(:,68) = strpad('I_CaCa in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,38) = strpad('I_CaK in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,33) = strpad('I_CaNa in component L_type_Ca_channel (microA_per_microF)');
    LEGEND_CONSTANTS(:,17) = strpad('P_Ca in component L_type_Ca_channel (litre_per_farad_millisecond)');
    LEGEND_CONSTANTS(:,18) = strpad('P_Na in component L_type_Ca_channel (litre_per_farad_millisecond)');
    LEGEND_CONSTANTS(:,19) = strpad('P_K in component L_type_Ca_channel (litre_per_farad_millisecond)');
    LEGEND_ALGEBRAIC(:,67) = strpad('Cai in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,20) = strpad('Cao in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,21) = strpad('Ko in component ionic_concentrations (millimolar)');
    LEGEND_STATES(:,6) = strpad('Ki in component ionic_concentrations (millimolar)');
    LEGEND_STATES(:,7) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
    LEGEND_STATES(:,8) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,69) = strpad('f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,34) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,39) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,18) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,29) = strpad('tau_d in component L_type_Ca_channel_d_gate (ms)');
    LEGEND_ALGEBRAIC(:,5) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,30) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,35) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,6) = strpad('f_infinity in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('tau_f in component L_type_Ca_channel_f_gate (ms)');
    LEGEND_CONSTANTS(:,22) = strpad('Km_Ca in component L_type_Ca_channel_f_Ca_gate (millimolar)');
    LEGEND_CONSTANTS(:,23) = strpad('g_CaT in component T_type_Ca_channel (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,79) = strpad('E_Ca in component calcium_background_current (millivolt)');
    LEGEND_STATES(:,9) = strpad('b in component T_type_Ca_channel_b_gate (dimensionless)');
    LEGEND_STATES(:,10) = strpad('g in component T_type_Ca_channel_g_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('b_inf in component T_type_Ca_channel_b_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,20) = strpad('tau_b in component T_type_Ca_channel_b_gate (ms)');
    LEGEND_ALGEBRAIC(:,8) = strpad('g_inf in component T_type_Ca_channel_g_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,21) = strpad('tau_g in component T_type_Ca_channel_g_gate (ms)');
    LEGEND_CONSTANTS(:,67) = strpad('g_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,24) = strpad('G_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,40) = strpad('Rect in component rapid_delayed_rectifier_potassium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,43) = strpad('E_K in component time_independent_potassium_current (millivolt)');
    LEGEND_STATES(:,11) = strpad('xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,9) = strpad('xr_infinity in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,22) = strpad('tau_xr in component rapid_delayed_rectifier_potassium_current_xr_gate (ms)');
    LEGEND_ALGEBRAIC(:,76) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,25) = strpad('G_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,41) = strpad('E_Ks in component slow_delayed_rectifier_potassium_current (millivolt)');
    LEGEND_CONSTANTS(:,26) = strpad('PNaK in component slow_delayed_rectifier_potassium_current (dimensionless)');
    LEGEND_STATES(:,12) = strpad('xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
    LEGEND_STATES(:,13) = strpad('xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('xs1_infinity in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,23) = strpad('tau_xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (ms)');
    LEGEND_ALGEBRAIC(:,11) = strpad('xs2_infinity in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('tau_xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (ms)');
    LEGEND_CONSTANTS(:,68) = strpad('g_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,27) = strpad('i_K_ATP_on in component ATP_sensitive_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,28) = strpad('nATP in component ATP_sensitive_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,29) = strpad('nicholsarea in component ATP_sensitive_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('ATPi in component ATP_sensitive_potassium_current (millimolar)');
    LEGEND_CONSTANTS(:,31) = strpad('hATP in component ATP_sensitive_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('kATP in component ATP_sensitive_potassium_current (millimolar)');
    LEGEND_CONSTANTS(:,75) = strpad('pATP in component ATP_sensitive_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,77) = strpad('GKbaraATP in component ATP_sensitive_potassium_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,69) = strpad('g_to in component transient_outward_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,42) = strpad('rvdv in component transient_outward_current (dimensionless)');
    LEGEND_STATES(:,14) = strpad('zdv in component transient_outward_current_zdv_gate (dimensionless)');
    LEGEND_STATES(:,15) = strpad('ydv in component transient_outward_current_ydv_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('alpha_zdv in component transient_outward_current_zdv_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,25) = strpad('beta_zdv in component transient_outward_current_zdv_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,31) = strpad('tau_zdv in component transient_outward_current_zdv_gate (ms)');
    LEGEND_ALGEBRAIC(:,36) = strpad('zdv_ss in component transient_outward_current_zdv_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,13) = strpad('alpha_ydv in component transient_outward_current_ydv_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,26) = strpad('beta_ydv in component transient_outward_current_ydv_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,32) = strpad('tau_ydv in component transient_outward_current_ydv_gate (ms)');
    LEGEND_ALGEBRAIC(:,37) = strpad('ydv_ss in component transient_outward_current_ydv_gate (dimensionless)');
    LEGEND_CONSTANTS(:,70) = strpad('g_K1 in component time_independent_potassium_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,33) = strpad('G_K1 in component time_independent_potassium_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,49) = strpad('K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,47) = strpad('alpha_K1 in component time_independent_potassium_current_K1_gate (per_ms)');
    LEGEND_ALGEBRAIC(:,48) = strpad('beta_K1 in component time_independent_potassium_current_K1_gate (per_ms)');
    LEGEND_CONSTANTS(:,34) = strpad('g_Kp in component plateau_potassium_current (milliS_per_microF)');
    LEGEND_ALGEBRAIC(:,51) = strpad('Kp in component plateau_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,35) = strpad('g_K_Na in component sodium_activated_potassium_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,36) = strpad('nKNa in component sodium_activated_potassium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,53) = strpad('pona in component sodium_activated_potassium_current (dimensionless)');
    LEGEND_ALGEBRAIC(:,54) = strpad('pov in component sodium_activated_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,37) = strpad('kdKNa in component sodium_activated_potassium_current (millimolar)');
    LEGEND_CONSTANTS(:,38) = strpad('K_mpCa in component sarcolemmal_calcium_pump (millimolar)');
    LEGEND_CONSTANTS(:,39) = strpad('I_pCa in component sarcolemmal_calcium_pump (microA_per_microF)');
    LEGEND_CONSTANTS(:,40) = strpad('g_Nab in component sodium_background_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,41) = strpad('g_Cab in component calcium_background_current (milliS_per_microF)');
    LEGEND_CONSTANTS(:,42) = strpad('I_NaK in component sodium_potassium_pump (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,57) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('K_mNai in component sodium_potassium_pump (millimolar)');
    LEGEND_CONSTANTS(:,44) = strpad('K_mKo in component sodium_potassium_pump (millimolar)');
    LEGEND_CONSTANTS(:,71) = strpad('sigma in component sodium_potassium_pump (dimensionless)');
    LEGEND_ALGEBRAIC(:,82) = strpad('i_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,83) = strpad('i_ns_K in component non_specific_calcium_activated_current (microA_per_microF)');
    LEGEND_CONSTANTS(:,72) = strpad('P_ns_Ca in component non_specific_calcium_activated_current (litre_per_farad_millisecond)');
    LEGEND_ALGEBRAIC(:,59) = strpad('I_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)');
    LEGEND_ALGEBRAIC(:,60) = strpad('I_ns_K in component non_specific_calcium_activated_current (microA_per_microF)');
    LEGEND_CONSTANTS(:,45) = strpad('K_m_ns_Ca in component non_specific_calcium_activated_current (millimolar)');
    LEGEND_CONSTANTS(:,46) = strpad('c1 in component Na_Ca_exchanger (microA_per_microF)');
    LEGEND_CONSTANTS(:,47) = strpad('c2 in component Na_Ca_exchanger (dimensionless)');
    LEGEND_CONSTANTS(:,48) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
    LEGEND_STATES(:,16) = strpad('i_rel in component CICR_current (millimolar_per_ms)');
    LEGEND_ALGEBRAIC(:,87) = strpad('i_up in component calcium_dynamics (millimolar_per_ms)');
    LEGEND_ALGEBRAIC(:,88) = strpad('i_leak in component calcium_dynamics (millimolar_per_ms)');
    LEGEND_ALGEBRAIC(:,89) = strpad('i_tr in component calcium_dynamics (millimolar_per_ms)');
    LEGEND_CONSTANTS(:,49) = strpad('tau_tr in component calcium_dynamics (ms)');
    LEGEND_CONSTANTS(:,50) = strpad('CSQN_max in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,51) = strpad('K_mCSQN in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,52) = strpad('K_mup in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,73) = strpad('K_leak in component calcium_dynamics (per_ms)');
    LEGEND_CONSTANTS(:,53) = strpad('I_up in component calcium_dynamics (millimolar_per_ms)');
    LEGEND_CONSTANTS(:,54) = strpad('Ca_NSR_max in component calcium_dynamics (millimolar)');
    LEGEND_STATES(:,17) = strpad('CaT in component calcium_dynamics (millimolar)');
    LEGEND_ALGEBRAIC(:,63) = strpad('Ca_JSR in component calcium_dynamics (millimolar)');
    LEGEND_STATES(:,18) = strpad('JSR in component calcium_dynamics (millimolar)');
    LEGEND_STATES(:,19) = strpad('NSR in component calcium_dynamics (millimolar)');
    LEGEND_ALGEBRAIC(:,61) = strpad('bjsr in component calcium_dynamics (millimolar)');
    LEGEND_ALGEBRAIC(:,62) = strpad('cjsr in component calcium_dynamics (millimolar2)');
    LEGEND_ALGEBRAIC(:,64) = strpad('bmyo in component calcium_dynamics (millimolar)');
    LEGEND_ALGEBRAIC(:,65) = strpad('cmyo in component calcium_dynamics (millimolar2)');
    LEGEND_ALGEBRAIC(:,66) = strpad('dmyo in component calcium_dynamics (millimolar3)');
    LEGEND_CONSTANTS(:,76) = strpad('V_myo in component geometry (micro_litre)');
    LEGEND_CONSTANTS(:,55) = strpad('A_cap in component geometry (cm2)');
    LEGEND_CONSTANTS(:,78) = strpad('V_JSR in component geometry (micro_litre)');
    LEGEND_CONSTANTS(:,79) = strpad('V_NSR in component geometry (micro_litre)');
    LEGEND_CONSTANTS(:,56) = strpad('K_mTRPN in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,57) = strpad('K_mCMDN in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,58) = strpad('TRPN_max in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,59) = strpad('CMDN_max in component calcium_dynamics (millimolar)');
    LEGEND_CONSTANTS(:,60) = strpad('kappa in component CICR_current (mM_per_millivolt_ms)');
    LEGEND_CONSTANTS(:,61) = strpad('tau in component CICR_current (ms)');
    LEGEND_CONSTANTS(:,62) = strpad('K_relss in component CICR_current (millimolar)');
    LEGEND_CONSTANTS(:,63) = strpad('qn in component CICR_current (dimensionless)');
    LEGEND_CONSTANTS(:,66) = strpad('alpha_rel in component CICR_current (millimolar_per_mV)');
    LEGEND_ALGEBRAIC(:,74) = strpad('tau_rel in component CICR_current (ms)');
    LEGEND_ALGEBRAIC(:,72) = strpad('I_relss in component CICR_current (millimolar_per_ms)');
    LEGEND_CONSTANTS(:,64) = strpad('preplength in component geometry (mm)');
    LEGEND_CONSTANTS(:,65) = strpad('radius in component geometry (mm)');
    LEGEND_CONSTANTS(:,74) = strpad('volume in component geometry (micro_litre)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component cell (millivolt)');
    LEGEND_RATES(:,3) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt j in component fast_sodium_current_j_gate (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt b in component T_type_Ca_channel_b_gate (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt g in component T_type_Ca_channel_g_gate (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt zdv in component transient_outward_current_zdv_gate (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt ydv in component transient_outward_current_ydv_gate (dimensionless)');
    LEGEND_RATES(:,18) = strpad('d/dt JSR in component calcium_dynamics (millimolar)');
    LEGEND_RATES(:,19) = strpad('d/dt NSR in component calcium_dynamics (millimolar)');
    LEGEND_RATES(:,17) = strpad('d/dt CaT in component calcium_dynamics (millimolar)');
    LEGEND_RATES(:,16) = strpad('d/dt i_rel in component CICR_current (millimolar_per_ms)');
    LEGEND_RATES(:,2) = strpad('d/dt Nai in component ionic_concentrations (millimolar)');
    LEGEND_RATES(:,6) = strpad('d/dt Ki in component ionic_concentrations (millimolar)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    STATES(:,1) = -85.126196430406;
    CONSTANTS(:,1) = 8314;
    CONSTANTS(:,2) = 310;
    CONSTANTS(:,3) = 96485;
    CONSTANTS(:,4) = 10;
    CONSTANTS(:,5) = 9e6;
    CONSTANTS(:,6) = 300;
    CONSTANTS(:,7) = 0.5;
    CONSTANTS(:,8) = -80;
    CONSTANTS(:,9) = 16;
    STATES(:,2) = 10;
    CONSTANTS(:,10) = 140;
    STATES(:,3) = 0.001513296212;
    STATES(:,4) = 0.985318710339;
    STATES(:,5) = 0.990731711845;
    CONSTANTS(:,11) = 0.75;
    CONSTANTS(:,12) = 0.75;
    CONSTANTS(:,13) = 0.75;
    CONSTANTS(:,14) = 0.75;
    CONSTANTS(:,15) = 1;
    CONSTANTS(:,16) = 0.341;
    CONSTANTS(:,17) = 0.00054;
    CONSTANTS(:,18) = 6.75e-7;
    CONSTANTS(:,19) = 1.93e-7;
    CONSTANTS(:,20) = 1.8;
    CONSTANTS(:,21) = 5.4;
    STATES(:,6) = 144.473230653346;
    STATES(:,7) = 0.000005906564;
    STATES(:,8) = 0.999390880784;
    CONSTANTS(:,22) = 0.0006;
    CONSTANTS(:,23) = 0.05;
    STATES(:,9) = 0.001378275288;
    STATES(:,10) = 0.988597502434;
    CONSTANTS(:,24) = 0.02614;
    STATES(:,11) = 0.000207067204;
    CONSTANTS(:,25) = 0.433;
    CONSTANTS(:,26) = 0.01833;
    STATES(:,12) = 0.007136102382;
    STATES(:,13) = 0.039518996812;
    CONSTANTS(:,27) = 1;
    CONSTANTS(:,28) = 0.24;
    CONSTANTS(:,29) = 5e-5;
    CONSTANTS(:,30) = 3;
    CONSTANTS(:,31) = 2;
    CONSTANTS(:,32) = 0.00025;
    STATES(:,14) = 0.014537782303;
    STATES(:,15) = 0.99993940527;
    CONSTANTS(:,33) = 0.75;
    CONSTANTS(:,34) = 0.00552;
    CONSTANTS(:,35) = 0.12848;
    CONSTANTS(:,36) = 2.8;
    CONSTANTS(:,37) = 66;
    CONSTANTS(:,38) = 0.0005;
    CONSTANTS(:,39) = 1.15;
    CONSTANTS(:,40) = 0.004;
    CONSTANTS(:,41) = 0.003016;
    CONSTANTS(:,42) = 2.25;
    CONSTANTS(:,43) = 10;
    CONSTANTS(:,44) = 1.5;
    CONSTANTS(:,45) = 0.0012;
    CONSTANTS(:,46) = 0.00025;
    CONSTANTS(:,47) = 0.0001;
    CONSTANTS(:,48) = 0.15;
    STATES(:,16) = -0.000000000000000000474565;
    CONSTANTS(:,49) = 120;
    CONSTANTS(:,50) = 10;
    CONSTANTS(:,51) = 0.8;
    CONSTANTS(:,52) = 0.00092;
    CONSTANTS(:,53) = 0.00875;
    CONSTANTS(:,54) = 15;
    STATES(:,17) = 0.01544711;
    STATES(:,18) = 8.290468;
    STATES(:,19) = 1.516756041281;
    CONSTANTS(:,55) = 1.534e-4;
    CONSTANTS(:,56) = 0.0005;
    CONSTANTS(:,57) = 0.00238;
    CONSTANTS(:,58) = 0.07;
    CONSTANTS(:,59) = 0.05;
    CONSTANTS(:,60) = 0.125;
    CONSTANTS(:,61) = 4.75;
    CONSTANTS(:,62) = 1;
    CONSTANTS(:,63) = 9;
    CONSTANTS(:,64) = 0.1;
    CONSTANTS(:,65) = 0.011;
    CONSTANTS(:,66) =  CONSTANTS(:,60).*CONSTANTS(:,61);
    CONSTANTS(:,67) =  CONSTANTS(:,24).*power((CONSTANTS(:,21)./5.40000), 1.0 ./ 2);
    CONSTANTS(:,68) = ( CONSTANTS(:,27).*0.000193000)./CONSTANTS(:,29);
    CONSTANTS(:,69) =  0.00000.*0.500000;
    CONSTANTS(:,70) =  CONSTANTS(:,33).*power((CONSTANTS(:,21)./5.40000), 1.0 ./ 2);
    CONSTANTS(:,71) =  (1.00000./7.00000).*(exp(CONSTANTS(:,10)./67.3000) - 1.00000);
    CONSTANTS(:,72) = 1.75000e-07;
    CONSTANTS(:,73) = CONSTANTS(:,53)./CONSTANTS(:,54);
    CONSTANTS(:,74) =   pi.*CONSTANTS(:,64).*power(CONSTANTS(:,65), 2.00000);
    CONSTANTS(:,75) = 1.00000./(1.00000+power(CONSTANTS(:,30)./CONSTANTS(:,32), CONSTANTS(:,31)));
    CONSTANTS(:,76) =  0.680000.*CONSTANTS(:,74);
    CONSTANTS(:,77) =  CONSTANTS(:,68).*CONSTANTS(:,75).*power(CONSTANTS(:,21)./4.00000, CONSTANTS(:,28));
    CONSTANTS(:,78) =  0.00480000.*CONSTANTS(:,74);
    CONSTANTS(:,79) =  0.0552000.*CONSTANTS(:,74);
    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) = piecewise({STATES(:,1)< - 40.0000,  0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
    ALGEBRAIC(:,15) = piecewise({STATES(:,1)< - 40.0000,  3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
    RATES(:,4) =  ALGEBRAIC(:,2).*(1.00000 - STATES(:,4)) -  ALGEBRAIC(:,15).*STATES(:,4);
    ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, (  - ( 127140..*exp( 0.244400.*STATES(:,1))+ 3.47400e-05.*exp(  - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
    ALGEBRAIC(:,16) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp(  - 0.0105200.*STATES(:,1)))./(1.00000+exp(  - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp(  - 2.53500e-07.*STATES(:,1)))./(1.00000+exp(  - 0.100000.*(STATES(:,1)+32.0000))));
    RATES(:,5) =  ALGEBRAIC(:,3).*(1.00000 - STATES(:,5)) -  ALGEBRAIC(:,16).*STATES(:,5);
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
    ALGEBRAIC(:,20) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
    RATES(:,9) = (ALGEBRAIC(:,7) - STATES(:,9))./ALGEBRAIC(:,20);
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
    ALGEBRAIC(:,21) = piecewise({STATES(:,1)<=0.00000,   - 0.875000.*STATES(:,1)+12.0000 }, 12.0000);
    RATES(:,10) = (ALGEBRAIC(:,8) - STATES(:,10))./ALGEBRAIC(:,21);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000));
    ALGEBRAIC(:,22) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp(  - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
    RATES(:,11) = (ALGEBRAIC(:,9) - STATES(:,11))./ALGEBRAIC(:,22);
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
    ALGEBRAIC(:,23) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp(  - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
    RATES(:,12) = (ALGEBRAIC(:,10) - STATES(:,12))./ALGEBRAIC(:,23);
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
    ALGEBRAIC(:,24) = 4.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp(  - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
    RATES(:,13) = (ALGEBRAIC(:,11) - STATES(:,13))./ALGEBRAIC(:,24);
    ALGEBRAIC(:,1) = STATES(:,1)+47.1300;
    ALGEBRAIC(:,14) = ( 0.320000.*ALGEBRAIC(:,1))./(1.00000 - exp(  - 0.100000.*ALGEBRAIC(:,1)));
    ALGEBRAIC(:,27) =  0.0800000.*exp( - STATES(:,1)./11.0000);
    RATES(:,3) =  ALGEBRAIC(:,14).*(1.00000 - STATES(:,3)) -  ALGEBRAIC(:,27).*STATES(:,3);
    ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
    ALGEBRAIC(:,19) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
    ALGEBRAIC(:,30) = ALGEBRAIC(:,6)./ALGEBRAIC(:,19);
    ALGEBRAIC(:,35) = (1.00000 - ALGEBRAIC(:,6))./ALGEBRAIC(:,19);
    RATES(:,8) =  ALGEBRAIC(:,30).*(1.00000 - STATES(:,8)) -  ALGEBRAIC(:,35).*STATES(:,8);
    ALGEBRAIC(:,12) = ( 10.0000.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000));
    ALGEBRAIC(:,25) = ( 10.0000.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000));
    ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
    ALGEBRAIC(:,36) = ALGEBRAIC(:,12)./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
    RATES(:,14) = (ALGEBRAIC(:,36) - STATES(:,14))./ALGEBRAIC(:,31);
    ALGEBRAIC(:,13) = 0.0150000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000));
    ALGEBRAIC(:,26) = ( 0.100000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000));
    ALGEBRAIC(:,32) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
    ALGEBRAIC(:,37) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
    RATES(:,15) = (ALGEBRAIC(:,37) - STATES(:,15))./ALGEBRAIC(:,32);
    ALGEBRAIC(:,5) = STATES(:,1)+10.0000;
    ALGEBRAIC(:,18) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,5)./6.24000));
    ALGEBRAIC(:,29) = ( 1.00000.*ALGEBRAIC(:,18).*(1.00000 - exp( - ALGEBRAIC(:,5)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,5));
    ALGEBRAIC(:,34) = ALGEBRAIC(:,18)./ALGEBRAIC(:,29);
    ALGEBRAIC(:,39) = (1.00000 - ALGEBRAIC(:,18))./ALGEBRAIC(:,29);
    RATES(:,7) =  ALGEBRAIC(:,34).*(1.00000 - STATES(:,7)) -  ALGEBRAIC(:,39).*STATES(:,7);
    ALGEBRAIC(:,61) = CONSTANTS(:,50)+CONSTANTS(:,51)+ - STATES(:,18);
    ALGEBRAIC(:,62) =  CONSTANTS(:,51).*STATES(:,18);
    ALGEBRAIC(:,63) = (power((power(ALGEBRAIC(:,61), 2.00000)+ 4.00000.*ALGEBRAIC(:,62)), 1.0 ./ 2) - ALGEBRAIC(:,61))./2.00000;
    ALGEBRAIC(:,74) = CONSTANTS(:,61)./(1.00000+0.0123000./ALGEBRAIC(:,63));
    ALGEBRAIC(:,64) = CONSTANTS(:,59)+CONSTANTS(:,58)+CONSTANTS(:,57)+CONSTANTS(:,56)+ - STATES(:,17);
    ALGEBRAIC(:,65) =  CONSTANTS(:,57).*CONSTANTS(:,56)+ CONSTANTS(:,58).*CONSTANTS(:,57)+ CONSTANTS(:,59).*CONSTANTS(:,56)+  - STATES(:,17).*(CONSTANTS(:,56)+CONSTANTS(:,57));
    ALGEBRAIC(:,66) =   - CONSTANTS(:,56).*CONSTANTS(:,57).*STATES(:,17);
    ALGEBRAIC(:,67) =  (2.00000./3.00000).*power((power(ALGEBRAIC(:,64), 2.00000) -  3.00000.*ALGEBRAIC(:,65)), 1.0 ./ 2).*cos(acos(( 9.00000.*ALGEBRAIC(:,64).*ALGEBRAIC(:,65) - ( 2.00000.*power(ALGEBRAIC(:,64), 3.00000)+ 27.0000.*ALGEBRAIC(:,66)))./( 2.00000.*power(power(power(ALGEBRAIC(:,64), 2.00000) -  3.00000.*ALGEBRAIC(:,65), 3.00000), 1.0 ./ 2)))./3.00000) - ALGEBRAIC(:,64)./3.00000;
    ALGEBRAIC(:,68) = ( (( CONSTANTS(:,17).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,15).*ALGEBRAIC(:,67).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,16).*CONSTANTS(:,20)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,69) = 1.00000./(1.00000+ALGEBRAIC(:,67)./CONSTANTS(:,22));
    ALGEBRAIC(:,70) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,68);
    ALGEBRAIC(:,72) = ( ALGEBRAIC(:,70).*CONSTANTS(:,66))./(1.00000+power(CONSTANTS(:,62)./ALGEBRAIC(:,63), CONSTANTS(:,63)));
    RATES(:,16) =  - (ALGEBRAIC(:,72)+STATES(:,16))./ALGEBRAIC(:,74);
    ALGEBRAIC(:,4) = piecewise({VOI>=CONSTANTS(:,4)&VOI<=CONSTANTS(:,5)&(VOI - CONSTANTS(:,4)) -  floor((VOI - CONSTANTS(:,4))./CONSTANTS(:,6)).*CONSTANTS(:,6)<=CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000);
    ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
    ALGEBRAIC(:,43) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,21)./STATES(:,6));
    ALGEBRAIC(:,44) =  CONSTANTS(:,67).*STATES(:,11).*ALGEBRAIC(:,40).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,76) =  CONSTANTS(:,25).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,67), 1.40000)));
    ALGEBRAIC(:,41) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,21)+ CONSTANTS(:,26).*CONSTANTS(:,10))./(STATES(:,6)+ CONSTANTS(:,26).*STATES(:,2)));
    ALGEBRAIC(:,77) =  ALGEBRAIC(:,76).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,41));
    ALGEBRAIC(:,53) = 0.850000./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), CONSTANTS(:,36)));
    ALGEBRAIC(:,54) = 0.800000 - 0.650000./(1.00000+exp((STATES(:,1)+125.000)./15.0000));
    ALGEBRAIC(:,55) =  CONSTANTS(:,35).*ALGEBRAIC(:,53).*ALGEBRAIC(:,54).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,47) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 59.2150)));
    ALGEBRAIC(:,48) = ( 1.00000.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,43))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 594.310))))./(1.00000+exp(  - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,43))+4.75300)));
    ALGEBRAIC(:,49) = ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+ALGEBRAIC(:,48));
    ALGEBRAIC(:,50) =  CONSTANTS(:,70).*ALGEBRAIC(:,49).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,45) =  CONSTANTS(:,77).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,42) = exp(STATES(:,1)./100.000);
    ALGEBRAIC(:,46) =  CONSTANTS(:,69).*power(STATES(:,14), 3.00000).*STATES(:,15).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
    ALGEBRAIC(:,52) =  CONSTANTS(:,34).*ALGEBRAIC(:,51).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,57) = 1.00000./(1.00000+ 0.124500.*exp((  - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,71).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,58) = (( CONSTANTS(:,42).*ALGEBRAIC(:,57))./(1.00000+power(CONSTANTS(:,43)./STATES(:,2), 2.00000)))./(1.00000+CONSTANTS(:,44)./CONSTANTS(:,21));
    ALGEBRAIC(:,38) = ( (( CONSTANTS(:,19).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,73) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,38);
    ALGEBRAIC(:,60) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,83) = ( ALGEBRAIC(:,60).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
    RATES(:,6) = (  - 1.00000.*(ALGEBRAIC(:,4)+ALGEBRAIC(:,73)+ALGEBRAIC(:,44)+ALGEBRAIC(:,77)+ALGEBRAIC(:,50)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,52)+ALGEBRAIC(:,55)+ALGEBRAIC(:,83)+  - ALGEBRAIC(:,58).*2.00000).*CONSTANTS(:,55))./( CONSTANTS(:,76).*CONSTANTS(:,3));
    ALGEBRAIC(:,17) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2));
    ALGEBRAIC(:,28) =  CONSTANTS(:,9).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,85) = ( CONSTANTS(:,46).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20) -  power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)))./(1.00000+ CONSTANTS(:,47).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20)+ power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)));
    ALGEBRAIC(:,56) =  CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,33) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,71) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,33);
    ALGEBRAIC(:,59) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,82) = ( ALGEBRAIC(:,59).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
    RATES(:,2) = (  - 1.00000.*(ALGEBRAIC(:,28)+ALGEBRAIC(:,71)+ALGEBRAIC(:,56)+ALGEBRAIC(:,82)+ ALGEBRAIC(:,85).*3.00000+ ALGEBRAIC(:,58).*3.00000).*CONSTANTS(:,55))./( CONSTANTS(:,76).*CONSTANTS(:,3));
    ALGEBRAIC(:,75) = ALGEBRAIC(:,70)+ALGEBRAIC(:,73)+ALGEBRAIC(:,71);
    ALGEBRAIC(:,79) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,20)./ALGEBRAIC(:,67));
    ALGEBRAIC(:,80) =  CONSTANTS(:,23).*STATES(:,9).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,79));
    ALGEBRAIC(:,78) = ( CONSTANTS(:,39).*ALGEBRAIC(:,67))./(CONSTANTS(:,38)+ALGEBRAIC(:,67));
    ALGEBRAIC(:,81) =  CONSTANTS(:,41).*(STATES(:,1) - ALGEBRAIC(:,79));
    ALGEBRAIC(:,84) = ALGEBRAIC(:,82)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,86) =  - (ALGEBRAIC(:,28)+ALGEBRAIC(:,75)+ALGEBRAIC(:,80)+ALGEBRAIC(:,44)+ALGEBRAIC(:,77)+ALGEBRAIC(:,55)+ALGEBRAIC(:,50)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,52)+ALGEBRAIC(:,85)+ALGEBRAIC(:,78)+ALGEBRAIC(:,56)+ALGEBRAIC(:,81)+ALGEBRAIC(:,58)+ALGEBRAIC(:,84)+ALGEBRAIC(:,4));
    RATES(:,1) = ALGEBRAIC(:,86);
    ALGEBRAIC(:,87) = ( CONSTANTS(:,53).*ALGEBRAIC(:,67))./(ALGEBRAIC(:,67)+CONSTANTS(:,52));
    ALGEBRAIC(:,88) =  CONSTANTS(:,73).*STATES(:,19);
    RATES(:,17) = (  - 1.00000.*CONSTANTS(:,55).*(ALGEBRAIC(:,70)+ALGEBRAIC(:,80)+ALGEBRAIC(:,78)+ALGEBRAIC(:,81)+  - 2.00000.*ALGEBRAIC(:,85)))./( 2.00000.*CONSTANTS(:,76).*CONSTANTS(:,3))+( STATES(:,16).*CONSTANTS(:,78))./CONSTANTS(:,76)+( (ALGEBRAIC(:,88) - ALGEBRAIC(:,87)).*CONSTANTS(:,79))./CONSTANTS(:,76);
    ALGEBRAIC(:,89) = (STATES(:,19) - ALGEBRAIC(:,63))./CONSTANTS(:,49);
    RATES(:,18) = ALGEBRAIC(:,89) - STATES(:,16);
    RATES(:,19) = ((  - ALGEBRAIC(:,89).*CONSTANTS(:,78))./CONSTANTS(:,79) - ALGEBRAIC(:,88))+ALGEBRAIC(:,87);
   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) = piecewise({STATES(:,1)< - 40.0000,  0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
    ALGEBRAIC(:,15) = piecewise({STATES(:,1)< - 40.0000,  3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
    ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, (  - ( 127140..*exp( 0.244400.*STATES(:,1))+ 3.47400e-05.*exp(  - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
    ALGEBRAIC(:,16) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp(  - 0.0105200.*STATES(:,1)))./(1.00000+exp(  - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp(  - 2.53500e-07.*STATES(:,1)))./(1.00000+exp(  - 0.100000.*(STATES(:,1)+32.0000))));
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
    ALGEBRAIC(:,20) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
    ALGEBRAIC(:,21) = piecewise({STATES(:,1)<=0.00000,   - 0.875000.*STATES(:,1)+12.0000 }, 12.0000);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000));
    ALGEBRAIC(:,22) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp(  - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
    ALGEBRAIC(:,23) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp(  - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
    ALGEBRAIC(:,24) = 4.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp(  - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
    ALGEBRAIC(:,1) = STATES(:,1)+47.1300;
    ALGEBRAIC(:,14) = ( 0.320000.*ALGEBRAIC(:,1))./(1.00000 - exp(  - 0.100000.*ALGEBRAIC(:,1)));
    ALGEBRAIC(:,27) =  0.0800000.*exp( - STATES(:,1)./11.0000);
    ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
    ALGEBRAIC(:,19) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
    ALGEBRAIC(:,30) = ALGEBRAIC(:,6)./ALGEBRAIC(:,19);
    ALGEBRAIC(:,35) = (1.00000 - ALGEBRAIC(:,6))./ALGEBRAIC(:,19);
    ALGEBRAIC(:,12) = ( 10.0000.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000));
    ALGEBRAIC(:,25) = ( 10.0000.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000));
    ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
    ALGEBRAIC(:,36) = ALGEBRAIC(:,12)./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
    ALGEBRAIC(:,13) = 0.0150000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000));
    ALGEBRAIC(:,26) = ( 0.100000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000));
    ALGEBRAIC(:,32) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
    ALGEBRAIC(:,37) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
    ALGEBRAIC(:,5) = STATES(:,1)+10.0000;
    ALGEBRAIC(:,18) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,5)./6.24000));
    ALGEBRAIC(:,29) = ( 1.00000.*ALGEBRAIC(:,18).*(1.00000 - exp( - ALGEBRAIC(:,5)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,5));
    ALGEBRAIC(:,34) = ALGEBRAIC(:,18)./ALGEBRAIC(:,29);
    ALGEBRAIC(:,39) = (1.00000 - ALGEBRAIC(:,18))./ALGEBRAIC(:,29);
    ALGEBRAIC(:,61) = CONSTANTS(:,50)+CONSTANTS(:,51)+ - STATES(:,18);
    ALGEBRAIC(:,62) =  CONSTANTS(:,51).*STATES(:,18);
    ALGEBRAIC(:,63) = (power((power(ALGEBRAIC(:,61), 2.00000)+ 4.00000.*ALGEBRAIC(:,62)), 1.0 ./ 2) - ALGEBRAIC(:,61))./2.00000;
    ALGEBRAIC(:,74) = CONSTANTS(:,61)./(1.00000+0.0123000./ALGEBRAIC(:,63));
    ALGEBRAIC(:,64) = CONSTANTS(:,59)+CONSTANTS(:,58)+CONSTANTS(:,57)+CONSTANTS(:,56)+ - STATES(:,17);
    ALGEBRAIC(:,65) =  CONSTANTS(:,57).*CONSTANTS(:,56)+ CONSTANTS(:,58).*CONSTANTS(:,57)+ CONSTANTS(:,59).*CONSTANTS(:,56)+  - STATES(:,17).*(CONSTANTS(:,56)+CONSTANTS(:,57));
    ALGEBRAIC(:,66) =   - CONSTANTS(:,56).*CONSTANTS(:,57).*STATES(:,17);
    ALGEBRAIC(:,67) =  (2.00000./3.00000).*power((power(ALGEBRAIC(:,64), 2.00000) -  3.00000.*ALGEBRAIC(:,65)), 1.0 ./ 2).*cos(acos(( 9.00000.*ALGEBRAIC(:,64).*ALGEBRAIC(:,65) - ( 2.00000.*power(ALGEBRAIC(:,64), 3.00000)+ 27.0000.*ALGEBRAIC(:,66)))./( 2.00000.*power(power(power(ALGEBRAIC(:,64), 2.00000) -  3.00000.*ALGEBRAIC(:,65), 3.00000), 1.0 ./ 2)))./3.00000) - ALGEBRAIC(:,64)./3.00000;
    ALGEBRAIC(:,68) = ( (( CONSTANTS(:,17).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,15).*ALGEBRAIC(:,67).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,16).*CONSTANTS(:,20)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,69) = 1.00000./(1.00000+ALGEBRAIC(:,67)./CONSTANTS(:,22));
    ALGEBRAIC(:,70) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,68);
    ALGEBRAIC(:,72) = ( ALGEBRAIC(:,70).*CONSTANTS(:,66))./(1.00000+power(CONSTANTS(:,62)./ALGEBRAIC(:,63), CONSTANTS(:,63)));
    ALGEBRAIC(:,4) = piecewise({VOI>=CONSTANTS(:,4)&VOI<=CONSTANTS(:,5)&(VOI - CONSTANTS(:,4)) -  floor((VOI - CONSTANTS(:,4))./CONSTANTS(:,6)).*CONSTANTS(:,6)<=CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000);
    ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
    ALGEBRAIC(:,43) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,21)./STATES(:,6));
    ALGEBRAIC(:,44) =  CONSTANTS(:,67).*STATES(:,11).*ALGEBRAIC(:,40).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,76) =  CONSTANTS(:,25).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,67), 1.40000)));
    ALGEBRAIC(:,41) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,21)+ CONSTANTS(:,26).*CONSTANTS(:,10))./(STATES(:,6)+ CONSTANTS(:,26).*STATES(:,2)));
    ALGEBRAIC(:,77) =  ALGEBRAIC(:,76).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,41));
    ALGEBRAIC(:,53) = 0.850000./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), CONSTANTS(:,36)));
    ALGEBRAIC(:,54) = 0.800000 - 0.650000./(1.00000+exp((STATES(:,1)+125.000)./15.0000));
    ALGEBRAIC(:,55) =  CONSTANTS(:,35).*ALGEBRAIC(:,53).*ALGEBRAIC(:,54).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,47) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 59.2150)));
    ALGEBRAIC(:,48) = ( 1.00000.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,43))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 594.310))))./(1.00000+exp(  - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,43))+4.75300)));
    ALGEBRAIC(:,49) = ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+ALGEBRAIC(:,48));
    ALGEBRAIC(:,50) =  CONSTANTS(:,70).*ALGEBRAIC(:,49).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,45) =  CONSTANTS(:,77).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,42) = exp(STATES(:,1)./100.000);
    ALGEBRAIC(:,46) =  CONSTANTS(:,69).*power(STATES(:,14), 3.00000).*STATES(:,15).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
    ALGEBRAIC(:,52) =  CONSTANTS(:,34).*ALGEBRAIC(:,51).*(STATES(:,1) - ALGEBRAIC(:,43));
    ALGEBRAIC(:,57) = 1.00000./(1.00000+ 0.124500.*exp((  - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,71).*exp((  - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,58) = (( CONSTANTS(:,42).*ALGEBRAIC(:,57))./(1.00000+power(CONSTANTS(:,43)./STATES(:,2), 2.00000)))./(1.00000+CONSTANTS(:,44)./CONSTANTS(:,21));
    ALGEBRAIC(:,38) = ( (( CONSTANTS(:,19).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,73) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,38);
    ALGEBRAIC(:,60) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,83) = ( ALGEBRAIC(:,60).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
    ALGEBRAIC(:,17) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2));
    ALGEBRAIC(:,28) =  CONSTANTS(:,9).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,85) = ( CONSTANTS(:,46).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20) -  power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)))./(1.00000+ CONSTANTS(:,47).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20)+ power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)));
    ALGEBRAIC(:,56) =  CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,33) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,71) =  STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,33);
    ALGEBRAIC(:,59) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) -  CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
    ALGEBRAIC(:,82) = ( ALGEBRAIC(:,59).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
    ALGEBRAIC(:,75) = ALGEBRAIC(:,70)+ALGEBRAIC(:,73)+ALGEBRAIC(:,71);
    ALGEBRAIC(:,79) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,20)./ALGEBRAIC(:,67));
    ALGEBRAIC(:,80) =  CONSTANTS(:,23).*STATES(:,9).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,79));
    ALGEBRAIC(:,78) = ( CONSTANTS(:,39).*ALGEBRAIC(:,67))./(CONSTANTS(:,38)+ALGEBRAIC(:,67));
    ALGEBRAIC(:,81) =  CONSTANTS(:,41).*(STATES(:,1) - ALGEBRAIC(:,79));
    ALGEBRAIC(:,84) = ALGEBRAIC(:,82)+ALGEBRAIC(:,83);
    ALGEBRAIC(:,86) =  - (ALGEBRAIC(:,28)+ALGEBRAIC(:,75)+ALGEBRAIC(:,80)+ALGEBRAIC(:,44)+ALGEBRAIC(:,77)+ALGEBRAIC(:,55)+ALGEBRAIC(:,50)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,52)+ALGEBRAIC(:,85)+ALGEBRAIC(:,78)+ALGEBRAIC(:,56)+ALGEBRAIC(:,81)+ALGEBRAIC(:,58)+ALGEBRAIC(:,84)+ALGEBRAIC(:,4));
    ALGEBRAIC(:,87) = ( CONSTANTS(:,53).*ALGEBRAIC(:,67))./(ALGEBRAIC(:,67)+CONSTANTS(:,52));
    ALGEBRAIC(:,88) =  CONSTANTS(:,73).*STATES(:,19);
    ALGEBRAIC(:,89) = (STATES(:,19) - ALGEBRAIC(:,63))./CONSTANTS(:,49);
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