Generated Code

The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)

The raw code is available.

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 =98;
end
% There are a total of 35 entries in each of the rate and state variable arrays.
% There are a total of 103 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_STATES(:,1) = strpad('Ca_jsr in component Ca_dynamics (mM)');
    LEGEND_STATES(:,2) = strpad('Ca_sub in component Ca_dynamics (mM)');
    LEGEND_CONSTANTS(:,1) = strpad('EC50_SR in component Ca_SR_release (mM)');
    LEGEND_CONSTANTS(:,2) = strpad('HSR in component Ca_SR_release (dimensionless)');
    LEGEND_STATES(:,3) = strpad('I in component Ca_SR_release (dimensionless)');
    LEGEND_CONSTANTS(:,3) = strpad('MaxSR in component Ca_SR_release (dimensionless)');
    LEGEND_CONSTANTS(:,4) = strpad('MinSR in component Ca_SR_release (dimensionless)');
    LEGEND_STATES(:,4) = strpad('O in component Ca_SR_release (dimensionless)');
    LEGEND_STATES(:,5) = strpad('R in component Ca_SR_release (dimensionless)');
    LEGEND_STATES(:,6) = strpad('RI in component Ca_SR_release (dimensionless)');
    LEGEND_ALGEBRAIC(:,2) = strpad('j_SRCarel in component Ca_SR_release (mol_per_m3_per_s)');
    LEGEND_ALGEBRAIC(:,1) = strpad('kCaSR in component Ca_SR_release (dimensionless)');
    LEGEND_CONSTANTS(:,5) = strpad('kiCa in component Ca_SR_release (m3_per_s_per_mol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('kiSRCa in component Ca_SR_release (m3_per_s_per_mol)');
    LEGEND_CONSTANTS(:,6) = strpad('kim in component Ca_SR_release (hertz)');
    LEGEND_CONSTANTS(:,7) = strpad('koCa in component Ca_SR_release (m6_per_s_per_mol2)');
    LEGEND_ALGEBRAIC(:,10) = strpad('koSRCa in component Ca_SR_release (m6_per_s_per_mol2)');
    LEGEND_CONSTANTS(:,8) = strpad('kom in component Ca_SR_release (hertz)');
    LEGEND_CONSTANTS(:,9) = strpad('ks in component Ca_SR_release (hertz)');
    LEGEND_VOI = strpad('time in component environment (second)');
    LEGEND_CONSTANTS(:,10) = strpad('CM_tot in component Ca_buffering (mM)');
    LEGEND_CONSTANTS(:,11) = strpad('CQ_tot in component Ca_buffering (mM)');
    LEGEND_STATES(:,7) = strpad('Cai in component Ca_dynamics (mM)');
    LEGEND_CONSTANTS(:,12) = strpad('Mgi in component Ca_buffering (mM)');
    LEGEND_CONSTANTS(:,13) = strpad('TC_tot in component Ca_buffering (mM)');
    LEGEND_CONSTANTS(:,14) = strpad('TMC_tot in component Ca_buffering (mM)');
    LEGEND_ALGEBRAIC(:,7) = strpad('delta_fCMi in component Ca_buffering (hertz)');
    LEGEND_ALGEBRAIC(:,11) = strpad('delta_fCMs in component Ca_buffering (hertz)');
    LEGEND_ALGEBRAIC(:,12) = strpad('delta_fCQ in component Ca_buffering (hertz)');
    LEGEND_ALGEBRAIC(:,13) = strpad('delta_fTC in component Ca_buffering (hertz)');
    LEGEND_ALGEBRAIC(:,14) = strpad('delta_fTMC in component Ca_buffering (hertz)');
    LEGEND_ALGEBRAIC(:,3) = strpad('delta_fTMM in component Ca_buffering (hertz)');
    LEGEND_STATES(:,8) = strpad('fCMi in component Ca_buffering (dimensionless)');
    LEGEND_STATES(:,9) = strpad('fCMs in component Ca_buffering (dimensionless)');
    LEGEND_STATES(:,10) = strpad('fCQ in component Ca_buffering (dimensionless)');
    LEGEND_STATES(:,11) = strpad('fTC in component Ca_buffering (dimensionless)');
    LEGEND_STATES(:,12) = strpad('fTMC in component Ca_buffering (dimensionless)');
    LEGEND_STATES(:,13) = strpad('fTMM in component Ca_buffering (dimensionless)');
    LEGEND_CONSTANTS(:,15) = strpad('kb_CM in component Ca_buffering (hertz)');
    LEGEND_CONSTANTS(:,16) = strpad('kb_CQ in component Ca_buffering (hertz)');
    LEGEND_CONSTANTS(:,17) = strpad('kb_TC in component Ca_buffering (hertz)');
    LEGEND_CONSTANTS(:,18) = strpad('kb_TMC in component Ca_buffering (hertz)');
    LEGEND_CONSTANTS(:,19) = strpad('kb_TMM in component Ca_buffering (hertz)');
    LEGEND_CONSTANTS(:,20) = strpad('kf_CM in component Ca_buffering (m3_per_s_per_mol)');
    LEGEND_CONSTANTS(:,21) = strpad('kf_CQ in component Ca_buffering (m3_per_s_per_mol)');
    LEGEND_CONSTANTS(:,22) = strpad('kf_TC in component Ca_buffering (m3_per_s_per_mol)');
    LEGEND_CONSTANTS(:,23) = strpad('kf_TMC in component Ca_buffering (m3_per_s_per_mol)');
    LEGEND_CONSTANTS(:,24) = strpad('kf_TMM in component Ca_buffering (m3_per_s_per_mol)');
    LEGEND_STATES(:,14) = strpad('Ca_nsr in component Ca_dynamics (mM)');
    LEGEND_CONSTANTS(:,25) = strpad('F in component Membrane (C_per_mol)');
    LEGEND_CONSTANTS(:,92) = strpad('V_i in component Cell_parameters (uL)');
    LEGEND_CONSTANTS(:,89) = strpad('V_jsr in component Cell_parameters (uL)');
    LEGEND_CONSTANTS(:,90) = strpad('V_nsr in component Cell_parameters (uL)');
    LEGEND_CONSTANTS(:,91) = strpad('V_sub in component Cell_parameters (uL)');
    LEGEND_ALGEBRAIC(:,65) = strpad('i_CaT in component i_CaT (nA)');
    LEGEND_ALGEBRAIC(:,91) = strpad('i_NaCa in component i_NaCa (nA)');
    LEGEND_ALGEBRAIC(:,21) = strpad('i_siCa in component i_CaL (nA)');
    LEGEND_ALGEBRAIC(:,15) = strpad('j_Ca_dif in component Ca_intracellular_fluxes (mol_per_m3_per_s)');
    LEGEND_ALGEBRAIC(:,16) = strpad('j_tr in component Ca_intracellular_fluxes (mol_per_m3_per_s)');
    LEGEND_ALGEBRAIC(:,18) = strpad('j_up in component Ca_intracellular_fluxes (mol_per_m3_per_s)');
    LEGEND_CONSTANTS(:,26) = strpad('ACh in component Rate_modulation_experiments (mM)');
    LEGEND_CONSTANTS(:,27) = strpad('Iso_1_uM in component Rate_modulation_experiments (dimensionless)');
    LEGEND_CONSTANTS(:,28) = strpad('K_up in component Ca_intracellular_fluxes (mM)');
    LEGEND_CONSTANTS(:,88) = strpad('P_up in component Ca_intracellular_fluxes (mol_per_m3_per_s)');
    LEGEND_CONSTANTS(:,29) = strpad('P_up_basal in component Ca_intracellular_fluxes (mol_per_m3_per_s)');
    LEGEND_CONSTANTS(:,83) = strpad('b_up in component Ca_intracellular_fluxes (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('slope_up in component Ca_intracellular_fluxes (mM)');
    LEGEND_CONSTANTS(:,31) = strpad('tau_dif_Ca in component Ca_intracellular_fluxes (second)');
    LEGEND_CONSTANTS(:,32) = strpad('tau_tr in component Ca_intracellular_fluxes (second)');
    LEGEND_CONSTANTS(:,33) = strpad('L_cell in component Cell_parameters (um)');
    LEGEND_CONSTANTS(:,34) = strpad('L_sub in component Cell_parameters (um)');
    LEGEND_CONSTANTS(:,35) = strpad('R_cell in component Cell_parameters (um)');
    LEGEND_CONSTANTS(:,84) = strpad('V_cell in component Cell_parameters (uL)');
    LEGEND_CONSTANTS(:,36) = strpad('V_i_part in component Cell_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,37) = strpad('V_jsr_part in component Cell_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,38) = strpad('V_nsr_part in component Cell_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,39) = strpad('Cao in component Ionic_values (mM)');
    LEGEND_ALGEBRAIC(:,17) = strpad('E_K in component Ionic_values (mV)');
    LEGEND_ALGEBRAIC(:,19) = strpad('E_Na in component Ionic_values (mV)');
    LEGEND_STATES(:,15) = strpad('Ki in component Ki_concentration (mM)');
    LEGEND_CONSTANTS(:,40) = strpad('Ko in component Ionic_values (mM)');
    LEGEND_STATES(:,16) = strpad('Nai in component Nai_concentration (mM)');
    LEGEND_CONSTANTS(:,41) = strpad('Nao in component Ionic_values (mM)');
    LEGEND_CONSTANTS(:,93) = strpad('RTONF in component Membrane (mV)');
    LEGEND_ALGEBRAIC(:,70) = strpad('i_Kr in component i_Kr (nA)');
    LEGEND_ALGEBRAIC(:,72) = strpad('i_Ks in component i_Ks (nA)');
    LEGEND_ALGEBRAIC(:,73) = strpad('i_Kur in component i_Kur (nA)');
    LEGEND_ALGEBRAIC(:,92) = strpad('i_NaK in component i_NaK (nA)');
    LEGEND_ALGEBRAIC(:,93) = strpad('i_SK in component i_SK (nA)');
    LEGEND_ALGEBRAIC(:,94) = strpad('i_fK in component i_f (nA)');
    LEGEND_ALGEBRAIC(:,37) = strpad('i_siK in component i_CaL (nA)');
    LEGEND_ALGEBRAIC(:,97) = strpad('i_to in component i_to (nA)');
    LEGEND_CONSTANTS(:,42) = strpad('C in component Membrane (uF)');
    LEGEND_CONSTANTS(:,43) = strpad('R in component Membrane (mJ_per_mol_per_K)');
    LEGEND_CONSTANTS(:,44) = strpad('T in component Membrane (kelvin)');
    LEGEND_ALGEBRAIC(:,20) = strpad('V in component Membrane (mV)');
    LEGEND_STATES(:,17) = strpad('V_ode in component Membrane (mV)');
    LEGEND_ALGEBRAIC(:,60) = strpad('i_CaL in component i_CaL (nA)');
    LEGEND_ALGEBRAIC(:,68) = strpad('i_KACh in component i_KACh (nA)');
    LEGEND_ALGEBRAIC(:,77) = strpad('i_Na in component i_Na (nA)');
    LEGEND_ALGEBRAIC(:,96) = strpad('i_f in component i_f (nA)');
    LEGEND_ALGEBRAIC(:,98) = strpad('i_tot in component Membrane (nA)');
    LEGEND_ALGEBRAIC(:,95) = strpad('i_fNa in component i_f (nA)');
    LEGEND_ALGEBRAIC(:,54) = strpad('i_siNa in component i_CaL (nA)');
    LEGEND_CONSTANTS(:,94) = strpad('ACh_block in component i_CaL (dimensionless)');
    LEGEND_CONSTANTS(:,95) = strpad('Iso_increase in component i_CaL (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('P_CaL in component i_CaL (m3_A_per_mol_times_1e_minus_9)');
    LEGEND_STATES(:,18) = strpad('dL in component i_CaL_dL_gate (dimensionless)');
    LEGEND_STATES(:,19) = strpad('fCa in component i_CaL_fCa_gate (dimensionless)');
    LEGEND_STATES(:,20) = strpad('fL in component i_CaL_fL_gate (dimensionless)');
    LEGEND_CONSTANTS(:,96) = strpad('Iso_shift_dL in component i_CaL_dL_gate (mV)');
    LEGEND_CONSTANTS(:,97) = strpad('Iso_slope_dL in component i_CaL_dL_gate (dimensionless)');
    LEGEND_CONSTANTS(:,98) = strpad('V_dL in component i_CaL_dL_gate (mV)');
    LEGEND_ALGEBRAIC(:,22) = strpad('adVm in component i_CaL_dL_gate (mV)');
    LEGEND_ALGEBRAIC(:,38) = strpad('alpha_dL in component i_CaL_dL_gate (hertz)');
    LEGEND_ALGEBRAIC(:,55) = strpad('bdVm in component i_CaL_dL_gate (mV)');
    LEGEND_ALGEBRAIC(:,61) = strpad('beta_dL in component i_CaL_dL_gate (hertz)');
    LEGEND_ALGEBRAIC(:,66) = strpad('dL_infinity in component i_CaL_dL_gate (dimensionless)');
    LEGEND_CONSTANTS(:,46) = strpad('k_dL in component i_CaL_dL_gate (mV)');
    LEGEND_ALGEBRAIC(:,69) = strpad('tau_dL in component i_CaL_dL_gate (second)');
    LEGEND_CONSTANTS(:,47) = strpad('Km_fCa in component i_CaL_fCa_gate (mM)');
    LEGEND_CONSTANTS(:,48) = strpad('alpha_fCa in component i_CaL_fCa_gate (hertz)');
    LEGEND_ALGEBRAIC(:,4) = strpad('fCa_infinity in component i_CaL_fCa_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,8) = strpad('tau_fCa in component i_CaL_fCa_gate (second)');
    LEGEND_ALGEBRAIC(:,23) = strpad('fL_infinity in component i_CaL_fL_gate (dimensionless)');
    LEGEND_CONSTANTS(:,49) = strpad('k_fL in component i_CaL_fL_gate (mV)');
    LEGEND_CONSTANTS(:,50) = strpad('shift_fL in component i_CaL_fL_gate (mV)');
    LEGEND_ALGEBRAIC(:,39) = strpad('tau_fL in component i_CaL_fL_gate (second)');
    LEGEND_CONSTANTS(:,51) = strpad('P_CaT in component i_CaT (m3_A_per_mol_times_1e_minus_9)');
    LEGEND_STATES(:,21) = strpad('dT in component i_CaT_dT_gate (dimensionless)');
    LEGEND_STATES(:,22) = strpad('fT in component i_CaT_fT_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('dT_infinity in component i_CaT_dT_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,40) = strpad('tau_dT in component i_CaT_dT_gate (second)');
    LEGEND_ALGEBRAIC(:,25) = strpad('fT_infinity in component i_CaT_fT_gate (dimensionless)');
    LEGEND_CONSTANTS(:,52) = strpad('offset_fT in component i_CaT_fT_gate (second)');
    LEGEND_ALGEBRAIC(:,41) = strpad('tau_fT in component i_CaT_fT_gate (second)');
    LEGEND_CONSTANTS(:,53) = strpad('ACh_on in component i_KACh (dimensionless)');
    LEGEND_STATES(:,23) = strpad('a in component i_KACh_a_gate (dimensionless)');
    LEGEND_CONSTANTS(:,54) = strpad('g_KACh in component i_KACh (uS)');
    LEGEND_ALGEBRAIC(:,42) = strpad('a_infinity in component i_KACh_a_gate (dimensionless)');
    LEGEND_CONSTANTS(:,99) = strpad('alpha_a in component i_KACh_a_gate (hertz)');
    LEGEND_ALGEBRAIC(:,26) = strpad('beta_a in component i_KACh_a_gate (hertz)');
    LEGEND_ALGEBRAIC(:,56) = strpad('tau_a in component i_KACh_a_gate (second)');
    LEGEND_CONSTANTS(:,85) = strpad('g_Kr in component i_Kr (uS)');
    LEGEND_STATES(:,24) = strpad('paF in component i_Kr_pa_gate (dimensionless)');
    LEGEND_STATES(:,25) = strpad('paS in component i_Kr_pa_gate (dimensionless)');
    LEGEND_STATES(:,26) = strpad('piy in component i_Kr_pi_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,27) = strpad('pa_infinity in component i_Kr_pa_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,43) = strpad('tau_paF in component i_Kr_pa_gate (second)');
    LEGEND_ALGEBRAIC(:,44) = strpad('tau_paS in component i_Kr_pa_gate (second)');
    LEGEND_ALGEBRAIC(:,28) = strpad('pi_infinity in component i_Kr_pi_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,45) = strpad('tau_pi in component i_Kr_pi_gate (second)');
    LEGEND_ALGEBRAIC(:,71) = strpad('E_Ks in component i_Ks (mV)');
    LEGEND_CONSTANTS(:,86) = strpad('g_Ks in component i_Ks (uS)');
    LEGEND_CONSTANTS(:,55) = strpad('g_Ks_ in component i_Ks (uS)');
    LEGEND_STATES(:,27) = strpad('n in component i_Ks_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,100) = strpad('Iso_shift in component i_Ks_n_gate (mV)');
    LEGEND_ALGEBRAIC(:,29) = strpad('alpha_n in component i_Ks_n_gate (hertz)');
    LEGEND_ALGEBRAIC(:,46) = strpad('beta_n in component i_Ks_n_gate (hertz)');
    LEGEND_ALGEBRAIC(:,57) = strpad('n_infinity in component i_Ks_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,62) = strpad('tau_n in component i_Ks_n_gate (second)');
    LEGEND_CONSTANTS(:,56) = strpad('g_Kur in component i_Kur (uS)');
    LEGEND_STATES(:,28) = strpad('r_Kur in component i_Kur_rKur_gate (dimensionless)');
    LEGEND_STATES(:,29) = strpad('s_Kur in component i_Kur_sKur_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,30) = strpad('r_Kur_infinity in component i_Kur_rKur_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,47) = strpad('tau_r_Kur in component i_Kur_rKur_gate (second)');
    LEGEND_ALGEBRAIC(:,31) = strpad('s_Kur_infinity in component i_Kur_sKur_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,48) = strpad('tau_s_Kur in component i_Kur_sKur_gate (second)');
    LEGEND_ALGEBRAIC(:,74) = strpad('E_mh in component i_Na (mV)');
    LEGEND_CONSTANTS(:,57) = strpad('g_Na in component i_Na (uS)');
    LEGEND_CONSTANTS(:,58) = strpad('g_Na_L in component i_Na (uS)');
    LEGEND_STATES(:,30) = strpad('h in component i_Na_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,75) = strpad('i_Na_ in component i_Na (nA)');
    LEGEND_ALGEBRAIC(:,76) = strpad('i_Na_L in component i_Na (nA)');
    LEGEND_STATES(:,31) = strpad('m in component i_Na_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,59) = strpad('K1ni in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,60) = strpad('K1no in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,61) = strpad('K2ni in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,62) = strpad('K2no in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,63) = strpad('K3ni in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,64) = strpad('K3no in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,65) = strpad('K_NaCa in component i_NaCa (nA)');
    LEGEND_CONSTANTS(:,66) = strpad('Kci in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,67) = strpad('Kcni in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,68) = strpad('Kco in component i_NaCa (mM)');
    LEGEND_CONSTANTS(:,69) = strpad('Qci in component i_NaCa (dimensionless)');
    LEGEND_CONSTANTS(:,70) = strpad('Qco in component i_NaCa (dimensionless)');
    LEGEND_CONSTANTS(:,71) = strpad('Qn in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,78) = strpad('di in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,79) = strpad('do in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,80) = strpad('k12 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,81) = strpad('k14 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,82) = strpad('k21 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,83) = strpad('k23 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,84) = strpad('k32 in component i_NaCa (dimensionless)');
    LEGEND_CONSTANTS(:,101) = strpad('k34 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,85) = strpad('k41 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,86) = strpad('k43 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,87) = strpad('x1 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,88) = strpad('x2 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,89) = strpad('x3 in component i_NaCa (dimensionless)');
    LEGEND_ALGEBRAIC(:,90) = strpad('x4 in component i_NaCa (dimensionless)');
    LEGEND_CONSTANTS(:,87) = strpad('Iso_increase in component i_NaK (dimensionless)');
    LEGEND_CONSTANTS(:,72) = strpad('Km_Kp in component i_NaK (mM)');
    LEGEND_CONSTANTS(:,73) = strpad('Km_Nap in component i_NaK (mM)');
    LEGEND_CONSTANTS(:,74) = strpad('i_NaK_max in component i_NaK (nA)');
    LEGEND_ALGEBRAIC(:,32) = strpad('alpha_h in component i_Na_h_gate (hertz)');
    LEGEND_ALGEBRAIC(:,49) = strpad('beta_h in component i_Na_h_gate (hertz)');
    LEGEND_ALGEBRAIC(:,58) = strpad('h_infinity in component i_Na_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,63) = strpad('tau_h in component i_Na_h_gate (second)');
    LEGEND_ALGEBRAIC(:,33) = strpad('E0_m in component i_Na_m_gate (mV)');
    LEGEND_ALGEBRAIC(:,50) = strpad('alpha_m in component i_Na_m_gate (hertz)');
    LEGEND_ALGEBRAIC(:,59) = strpad('beta_m in component i_Na_m_gate (hertz)');
    LEGEND_CONSTANTS(:,75) = strpad('delta_m in component i_Na_m_gate (mV)');
    LEGEND_ALGEBRAIC(:,64) = strpad('m_infinity in component i_Na_m_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,67) = strpad('tau_m in component i_Na_m_gate (second)');
    LEGEND_CONSTANTS(:,76) = strpad('g_SK in component i_SK (uS)');
    LEGEND_STATES(:,32) = strpad('x in component i_SK_x_gate (dimensionless)');
    LEGEND_CONSTANTS(:,77) = strpad('EC50_SK in component i_SK_x_gate (mM)');
    LEGEND_CONSTANTS(:,78) = strpad('n_SK in component i_SK_x_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('tau_x in component i_SK_x_gate (second)');
    LEGEND_ALGEBRAIC(:,9) = strpad('x_infinity in component i_SK_x_gate (dimensionless)');
    LEGEND_CONSTANTS(:,79) = strpad('g_f_K in component i_f (uS)');
    LEGEND_CONSTANTS(:,80) = strpad('g_f_Na in component i_f (uS)');
    LEGEND_STATES(:,33) = strpad('y in component i_f_y_gate (dimensionless)');
    LEGEND_CONSTANTS(:,102) = strpad('ACh_shift in component i_f_y_gate (mV)');
    LEGEND_CONSTANTS(:,103) = strpad('Iso_shift in component i_f_y_gate (mV)');
    LEGEND_ALGEBRAIC(:,34) = strpad('tau_y in component i_f_y_gate (second)');
    LEGEND_ALGEBRAIC(:,51) = strpad('y_infinity in component i_f_y_gate (dimensionless)');
    LEGEND_CONSTANTS(:,81) = strpad('y_shift in component i_f_y_gate (mV)');
    LEGEND_CONSTANTS(:,82) = strpad('g_to in component i_to (uS)');
    LEGEND_STATES(:,34) = strpad('q in component i_to_q_gate (dimensionless)');
    LEGEND_STATES(:,35) = strpad('r in component i_to_r_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,35) = strpad('q_infinity in component i_to_q_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,52) = strpad('tau_q in component i_to_q_gate (second)');
    LEGEND_ALGEBRAIC(:,36) = strpad('r_infinity in component i_to_r_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,53) = strpad('tau_r in component i_to_r_gate (second)');
    LEGEND_RATES(:,3) = strpad('d/dt I in component Ca_SR_release (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt O in component Ca_SR_release (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt R in component Ca_SR_release (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt RI in component Ca_SR_release (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt fCMi in component Ca_buffering (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt fCMs in component Ca_buffering (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt fCQ in component Ca_buffering (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt fTC in component Ca_buffering (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt fTMC in component Ca_buffering (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt fTMM in component Ca_buffering (dimensionless)');
    LEGEND_RATES(:,1) = strpad('d/dt Ca_jsr in component Ca_dynamics (mM)');
    LEGEND_RATES(:,14) = strpad('d/dt Ca_nsr in component Ca_dynamics (mM)');
    LEGEND_RATES(:,2) = strpad('d/dt Ca_sub in component Ca_dynamics (mM)');
    LEGEND_RATES(:,7) = strpad('d/dt Cai in component Ca_dynamics (mM)');
    LEGEND_RATES(:,15) = strpad('d/dt Ki in component Ki_concentration (mM)');
    LEGEND_RATES(:,17) = strpad('d/dt V_ode in component Membrane (mV)');
    LEGEND_RATES(:,16) = strpad('d/dt Nai in component Nai_concentration (mM)');
    LEGEND_RATES(:,18) = strpad('d/dt dL in component i_CaL_dL_gate (dimensionless)');
    LEGEND_RATES(:,19) = strpad('d/dt fCa in component i_CaL_fCa_gate (dimensionless)');
    LEGEND_RATES(:,20) = strpad('d/dt fL in component i_CaL_fL_gate (dimensionless)');
    LEGEND_RATES(:,21) = strpad('d/dt dT in component i_CaT_dT_gate (dimensionless)');
    LEGEND_RATES(:,22) = strpad('d/dt fT in component i_CaT_fT_gate (dimensionless)');
    LEGEND_RATES(:,23) = strpad('d/dt a in component i_KACh_a_gate (dimensionless)');
    LEGEND_RATES(:,24) = strpad('d/dt paF in component i_Kr_pa_gate (dimensionless)');
    LEGEND_RATES(:,25) = strpad('d/dt paS in component i_Kr_pa_gate (dimensionless)');
    LEGEND_RATES(:,26) = strpad('d/dt piy in component i_Kr_pi_gate (dimensionless)');
    LEGEND_RATES(:,27) = strpad('d/dt n in component i_Ks_n_gate (dimensionless)');
    LEGEND_RATES(:,28) = strpad('d/dt r_Kur in component i_Kur_rKur_gate (dimensionless)');
    LEGEND_RATES(:,29) = strpad('d/dt s_Kur in component i_Kur_sKur_gate (dimensionless)');
    LEGEND_RATES(:,30) = strpad('d/dt h in component i_Na_h_gate (dimensionless)');
    LEGEND_RATES(:,31) = strpad('d/dt m in component i_Na_m_gate (dimensionless)');
    LEGEND_RATES(:,32) = strpad('d/dt x in component i_SK_x_gate (dimensionless)');
    LEGEND_RATES(:,33) = strpad('d/dt y in component i_f_y_gate (dimensionless)');
    LEGEND_RATES(:,34) = strpad('d/dt q in component i_to_q_gate (dimensionless)');
    LEGEND_RATES(:,35) = strpad('d/dt r in component i_to_r_gate (dimensionless)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    STATES(:,1) = 0.5869378;
    STATES(:,2) = 8.59587700000000057e-05;
    CONSTANTS(:,1) = 0.45;
    CONSTANTS(:,2) = 2.5;
    STATES(:,3) = 1.88065699999999987e-09;
    CONSTANTS(:,3) = 15.0;
    CONSTANTS(:,4) = 1.0;
    STATES(:,4) = 1.75000900000000001e-08;
    STATES(:,5) = 0.9004965;
    STATES(:,6) = 9.67726599999999965e-02;
    CONSTANTS(:,5) = 500.0;
    CONSTANTS(:,6) = 5.0;
    CONSTANTS(:,7) = 10000.0;
    CONSTANTS(:,8) = 660.0;
    CONSTANTS(:,9) = 1.48041085099999994e+08;
    CONSTANTS(:,10) = 0.045;
    CONSTANTS(:,11) = 10.0;
    STATES(:,7) = 1.26704600000000013e-04;
    CONSTANTS(:,12) = 2.5;
    CONSTANTS(:,13) = 0.031;
    CONSTANTS(:,14) = 0.062;
    STATES(:,8) = 0.2776014;
    STATES(:,9) = 0.206602;
    STATES(:,10) = 0.1878388;
    STATES(:,11) = 0.0246504;
    STATES(:,12) = 0.329845;
    STATES(:,13) = 0.5920168;
    CONSTANTS(:,15) = 542.0;
    CONSTANTS(:,16) = 445.0;
    CONSTANTS(:,17) = 446.0;
    CONSTANTS(:,18) = 7.51;
    CONSTANTS(:,19) = 751.0;
    CONSTANTS(:,20) = 1641986.0;
    CONSTANTS(:,21) = 175.4;
    CONSTANTS(:,22) = 88800.0;
    CONSTANTS(:,23) = 227700.0;
    CONSTANTS(:,24) = 2277.0;
    STATES(:,14) = 0.669119;
    CONSTANTS(:,25) = 9.64853414999999950e+04;
    CONSTANTS(:,26) = 0.0;
    CONSTANTS(:,27) = 0.0;
    CONSTANTS(:,28) = 2.86113000000000003e-04;
    CONSTANTS(:,29) = 5.0;
    CONSTANTS(:,30) = 5e-05;
    CONSTANTS(:,31) = 5.469e-05;
    CONSTANTS(:,32) = 0.04;
    CONSTANTS(:,33) = 67.0;
    CONSTANTS(:,34) = 0.02;
    CONSTANTS(:,35) = 3.9;
    CONSTANTS(:,36) = 0.46;
    CONSTANTS(:,37) = 0.0012;
    CONSTANTS(:,38) = 0.0116;
    CONSTANTS(:,39) = 1.8;
    STATES(:,15) = 139.1382;
    CONSTANTS(:,40) = 5.4;
    STATES(:,16) = 6.084085;
    CONSTANTS(:,41) = 140.0;
    CONSTANTS(:,42) = 5.7e-05;
    CONSTANTS(:,43) = 8314.472;
    CONSTANTS(:,44) = 310.0;
    STATES(:,17) = -4.61898999999999990e-02;
    CONSTANTS(:,45) = 0.5046812;
    STATES(:,18) = 1.40229900000000008e-03;
    STATES(:,19) = 0.7820265;
    STATES(:,20) = 0.9951828;
    CONSTANTS(:,46) = 5.854;
    CONSTANTS(:,47) = 0.000338;
    CONSTANTS(:,48) = 0.0075;
    CONSTANTS(:,49) = 5.1737;
    CONSTANTS(:,50) = 0.0;
    CONSTANTS(:,51) = 0.04132;
    STATES(:,21) = 0.192108;
    STATES(:,22) = 3.74674099999999996e-02;
    CONSTANTS(:,52) = 0.0;
    CONSTANTS(:,53) = 0.0;
    STATES(:,23) = 2.81845900000000016e-03;
    CONSTANTS(:,54) = 0.00345;
    STATES(:,24) = 8.34449800000000054e-03;
    STATES(:,25) = 0.3450797;
    STATES(:,26) = 0.7369347;
    CONSTANTS(:,55) = 8.63714000000000018e-04;
    STATES(:,27) = 0.1057902;
    CONSTANTS(:,56) = 7.062e-05;
    STATES(:,28) = 9.05902400000000059e-03;
    STATES(:,29) = 0.8655135;
    CONSTANTS(:,57) = 0.0223;
    CONSTANTS(:,58) = 0.0;
    STATES(:,30) = 5.20200199999999984e-03;
    STATES(:,31) = 0.3777047;
    CONSTANTS(:,59) = 395.3;
    CONSTANTS(:,60) = 1628.0;
    CONSTANTS(:,61) = 2.289;
    CONSTANTS(:,62) = 561.4;
    CONSTANTS(:,63) = 26.44;
    CONSTANTS(:,64) = 4.663;
    CONSTANTS(:,65) = 3.343;
    CONSTANTS(:,66) = 0.0207;
    CONSTANTS(:,67) = 26.44;
    CONSTANTS(:,68) = 3.663;
    CONSTANTS(:,69) = 0.1369;
    CONSTANTS(:,70) = 0.0;
    CONSTANTS(:,71) = 0.4315;
    CONSTANTS(:,72) = 1.4;
    CONSTANTS(:,73) = 14.0;
    CONSTANTS(:,74) = 0.137171;
    CONSTANTS(:,75) = 1e-05;
    CONSTANTS(:,76) = 0.000165;
    STATES(:,32) = 6.77693899999999988e-02;
    CONSTANTS(:,77) = 0.7;
    CONSTANTS(:,78) = 2.2;
    CONSTANTS(:,79) = 0.0117;
    CONSTANTS(:,80) = 0.00696;
    STATES(:,33) = 0.0103301;
    CONSTANTS(:,81) = 0.0;
    CONSTANTS(:,82) = 1.67347999999999998e-03;
    STATES(:,34) = 0.4735559;
    STATES(:,35) = 1.24570600000000007e-02;
    CONSTANTS(:,83) = piecewise({CONSTANTS(:,27)>0.00000,  - 0.250000 , CONSTANTS(:,26)>0.00000, ( 0.700000.*CONSTANTS(:,26))./(9.00000e-05+CONSTANTS(:,26)) }, 0.00000);
    CONSTANTS(:,84) =  ( ( 1.00000e-09.*3.14159).*power(CONSTANTS(:,35), 2.00000)).*CONSTANTS(:,33);
    CONSTANTS(:,85) =  0.00498910.*power((CONSTANTS(:,40)./5.40000), 1.0 ./ 2);
    CONSTANTS(:,86) = piecewise({CONSTANTS(:,27)>0.00000,  1.20000.*CONSTANTS(:,55) }, CONSTANTS(:,55));
    CONSTANTS(:,87) = piecewise({CONSTANTS(:,27)>0.00000, 1.20000 }, 1.00000);
    CONSTANTS(:,88) =  CONSTANTS(:,29).*(1.00000 - CONSTANTS(:,83));
    CONSTANTS(:,89) =  CONSTANTS(:,37).*CONSTANTS(:,84);
    CONSTANTS(:,90) =  CONSTANTS(:,38).*CONSTANTS(:,84);
    CONSTANTS(:,91) =  ( ( ( ( 1.00000e-09.*2.00000).*3.14159).*CONSTANTS(:,34)).*(CONSTANTS(:,35) - CONSTANTS(:,34)./2.00000)).*CONSTANTS(:,33);
    CONSTANTS(:,92) =  CONSTANTS(:,36).*CONSTANTS(:,84) - CONSTANTS(:,91);
    CONSTANTS(:,93) = ( CONSTANTS(:,43).*CONSTANTS(:,44))./CONSTANTS(:,25);
    CONSTANTS(:,94) = ( 0.310000.*CONSTANTS(:,26))./(CONSTANTS(:,26)+9.00000e-05);
    CONSTANTS(:,95) = piecewise({CONSTANTS(:,27)>0.00000, 1.23000 }, 1.00000);
    CONSTANTS(:,96) = piecewise({CONSTANTS(:,27)>0.00000,  - 8.00000 }, 0.00000);
    CONSTANTS(:,97) = piecewise({CONSTANTS(:,27)>0.00000,  - 27.0000 }, 0.00000);
    CONSTANTS(:,98) =  - 7.77130;
    CONSTANTS(:,99) = (3.59880 - 0.0256410)./(1.00000+1.21550e-06./power( 1.00000.*CONSTANTS(:,26), 1.69510))+0.0256410;
    CONSTANTS(:,100) = piecewise({CONSTANTS(:,27)>0.00000,  - 14.0000 }, 0.00000);
    CONSTANTS(:,101) = CONSTANTS(:,41)./(CONSTANTS(:,64)+CONSTANTS(:,41));
    CONSTANTS(:,102) = piecewise({CONSTANTS(:,26)>0.00000,  - 1.00000 - ( 9.89800.*power( 1.00000.*CONSTANTS(:,26), 0.618000))./(power( 1.00000.*CONSTANTS(:,26), 0.618000)+0.00122423) }, 0.00000);
    CONSTANTS(:,103) = piecewise({CONSTANTS(:,27)>0.00000, 7.50000 }, 0.00000);
    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(:,3) =  ( CONSTANTS(:,24).*CONSTANTS(:,12)).*(1.00000 - (STATES(:,12)+STATES(:,13))) -  CONSTANTS(:,19).*STATES(:,13);
    RATES(:,13) = ALGEBRAIC(:,3);
    ALGEBRAIC(:,7) =  ( CONSTANTS(:,20).*STATES(:,7)).*(1.00000 - STATES(:,8)) -  CONSTANTS(:,15).*STATES(:,8);
    RATES(:,8) = ALGEBRAIC(:,7);
    ALGEBRAIC(:,4) = CONSTANTS(:,47)./(CONSTANTS(:,47)+STATES(:,2));
    ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,4))./CONSTANTS(:,48);
    RATES(:,19) = (ALGEBRAIC(:,4) - STATES(:,19))./ALGEBRAIC(:,8);
    ALGEBRAIC(:,5) = 0.00100000./( 0.0470000.*(( 1000.00.*STATES(:,2))./1.00000)+1.00000./76.0000);
    ALGEBRAIC(:,9) = ( 0.810000.*power(STATES(:,2)./1.00000, CONSTANTS(:,78)))./(power(STATES(:,2)./1.00000, CONSTANTS(:,78))+power(CONSTANTS(:,77)./1.00000, CONSTANTS(:,78)));
    RATES(:,32) = (ALGEBRAIC(:,9) - STATES(:,32))./ALGEBRAIC(:,5);
    ALGEBRAIC(:,1) = CONSTANTS(:,3) - (CONSTANTS(:,3) - CONSTANTS(:,4))./(1.00000+power(CONSTANTS(:,1)./STATES(:,1), CONSTANTS(:,2)));
    ALGEBRAIC(:,6) =  CONSTANTS(:,5).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,10) = CONSTANTS(:,7)./ALGEBRAIC(:,1);
    RATES(:,3) = ( ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,4) -  CONSTANTS(:,6).*STATES(:,3)) - ( CONSTANTS(:,8).*STATES(:,3) -  ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,6));
    RATES(:,4) = ( ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,5) -  CONSTANTS(:,8).*STATES(:,4)) - ( ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,4) -  CONSTANTS(:,6).*STATES(:,3));
    RATES(:,5) = ( CONSTANTS(:,6).*STATES(:,6) -  ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,5)) - ( ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,5) -  CONSTANTS(:,8).*STATES(:,4));
    RATES(:,6) = ( CONSTANTS(:,8).*STATES(:,3) -  ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,6)) - ( CONSTANTS(:,6).*STATES(:,6) -  ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,5));
    ALGEBRAIC(:,11) =  ( CONSTANTS(:,20).*STATES(:,2)).*(1.00000 - STATES(:,9)) -  CONSTANTS(:,15).*STATES(:,9);
    RATES(:,9) = ALGEBRAIC(:,11);
    ALGEBRAIC(:,12) =  ( CONSTANTS(:,21).*STATES(:,1)).*(1.00000 - STATES(:,10)) -  CONSTANTS(:,16).*STATES(:,10);
    RATES(:,10) = ALGEBRAIC(:,12);
    ALGEBRAIC(:,13) =  ( CONSTANTS(:,22).*STATES(:,7)).*(1.00000 - STATES(:,11)) -  CONSTANTS(:,17).*STATES(:,11);
    RATES(:,11) = ALGEBRAIC(:,13);
    ALGEBRAIC(:,14) =  ( CONSTANTS(:,23).*STATES(:,7)).*(1.00000 - (STATES(:,12)+STATES(:,13))) -  CONSTANTS(:,18).*STATES(:,12);
    RATES(:,12) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,2) =  ( CONSTANTS(:,9).*STATES(:,4)).*(STATES(:,1) - STATES(:,2));
    ALGEBRAIC(:,16) = (STATES(:,14) - STATES(:,1))./CONSTANTS(:,32);
    RATES(:,1) = ALGEBRAIC(:,16) - (ALGEBRAIC(:,2)+ CONSTANTS(:,11).*ALGEBRAIC(:,12));
    ALGEBRAIC(:,18) = CONSTANTS(:,88)./(1.00000+exp(( - STATES(:,7)+CONSTANTS(:,28))./CONSTANTS(:,30)));
    RATES(:,14) = ALGEBRAIC(:,18) - ( ALGEBRAIC(:,16).*CONSTANTS(:,89))./CONSTANTS(:,90);
    ALGEBRAIC(:,15) = (STATES(:,2) - STATES(:,7))./CONSTANTS(:,31);
    RATES(:,7) = ( 1.00000.*( ALGEBRAIC(:,15).*CONSTANTS(:,91) -  ALGEBRAIC(:,18).*CONSTANTS(:,90)))./CONSTANTS(:,92) - (( CONSTANTS(:,10).*ALGEBRAIC(:,7)+ CONSTANTS(:,13).*ALGEBRAIC(:,13))+ CONSTANTS(:,14).*ALGEBRAIC(:,14));
    ALGEBRAIC(:,20) = STATES(:,17);
    ALGEBRAIC(:,23) = 1.00000./(1.00000+exp(((ALGEBRAIC(:,20)+12.1847)+CONSTANTS(:,50))./(5.30000+CONSTANTS(:,49))));
    ALGEBRAIC(:,39) =  0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,20)+36.0000)./10.0000, 2.00000)));
    RATES(:,20) = (ALGEBRAIC(:,23) - STATES(:,20))./ALGEBRAIC(:,39);
    ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+38.3000)./5.50000));
    ALGEBRAIC(:,40) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,20)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,20)+38.3000)./30.0000));
    RATES(:,21) = (ALGEBRAIC(:,24) - STATES(:,21))./ALGEBRAIC(:,40);
    ALGEBRAIC(:,25) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+58.7000)./3.80000));
    ALGEBRAIC(:,41) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,20)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,20)+75.0000)./15.3800))+CONSTANTS(:,52);
    RATES(:,22) = (ALGEBRAIC(:,25) - STATES(:,22))./ALGEBRAIC(:,41);
    ALGEBRAIC(:,27) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+10.0144)./7.66070));
    ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,20)./10.0000)+exp( - ALGEBRAIC(:,20)./12.0000));
    RATES(:,24) = (ALGEBRAIC(:,27) - STATES(:,24))./ALGEBRAIC(:,43);
    ALGEBRAIC(:,44) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,20)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,20)./21.6000));
    RATES(:,25) = (ALGEBRAIC(:,27) - STATES(:,25))./ALGEBRAIC(:,44);
    ALGEBRAIC(:,28) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+28.6000)./17.1000));
    ALGEBRAIC(:,45) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,20)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,20)./106.157));
    RATES(:,26) = (ALGEBRAIC(:,28) - STATES(:,26))./ALGEBRAIC(:,45);
    ALGEBRAIC(:,30) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+6.00000)./ - 8.60000));
    ALGEBRAIC(:,47) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,20)+5.00000)./12.0000))+0.000500000;
    RATES(:,28) = (ALGEBRAIC(:,30) - STATES(:,28))./ALGEBRAIC(:,47);
    ALGEBRAIC(:,31) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+7.50000)./10.0000));
    ALGEBRAIC(:,48) = 0.590000./(1.00000+exp((ALGEBRAIC(:,20)+60.0000)./10.0000))+3.05000;
    RATES(:,29) = (ALGEBRAIC(:,31) - STATES(:,29))./ALGEBRAIC(:,48);
    ALGEBRAIC(:,34) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(exp( 0.0660000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(1.00000 - exp(  - 0.200000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103))))) - 0.0540000;
    ALGEBRAIC(:,51) = piecewise({ALGEBRAIC(:,20)< - (((80.0000 - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,20)+97.1340) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./8.17520)) },  0.000250100.*exp( - (((ALGEBRAIC(:,20) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./12.8610));
    RATES(:,33) = (ALGEBRAIC(:,51) - STATES(:,33))./ALGEBRAIC(:,34);
    ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+49.0000)./13.0000));
    ALGEBRAIC(:,52) =  ( 0.00100000.*0.600000).*(65.1700./( 0.570000.*exp(  - 0.0800000.*(ALGEBRAIC(:,20)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,20)+45.9300)))+10.1000);
    RATES(:,34) = (ALGEBRAIC(:,35) - STATES(:,34))./ALGEBRAIC(:,52);
    ALGEBRAIC(:,36) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20) - 19.3000)./15.0000));
    ALGEBRAIC(:,53) =  ( ( 0.00100000.*0.660000).*1.40000).*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,20)+30.6100))+ 0.369000.*exp(  - 0.120000.*(ALGEBRAIC(:,20)+23.8400)))+2.98000);
    RATES(:,35) = (ALGEBRAIC(:,36) - STATES(:,35))./ALGEBRAIC(:,53);
    ALGEBRAIC(:,26) =  10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,20)+40.0000));
    ALGEBRAIC(:,42) = CONSTANTS(:,99)./(CONSTANTS(:,99)+ALGEBRAIC(:,26));
    ALGEBRAIC(:,56) = 1.00000./(CONSTANTS(:,99)+ALGEBRAIC(:,26));
    RATES(:,23) = (ALGEBRAIC(:,42) - STATES(:,23))./ALGEBRAIC(:,56);
    ALGEBRAIC(:,57) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,20)+0.638300) - CONSTANTS(:,100))./10.7071))), 1.0 ./ 2);
    ALGEBRAIC(:,29) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,20) - 40.0000) - CONSTANTS(:,100))./3.00000));
    ALGEBRAIC(:,46) =  1.00000.*exp( - ((ALGEBRAIC(:,20) - CONSTANTS(:,100)) - 5.00000)./25.0000);
    ALGEBRAIC(:,62) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,46));
    RATES(:,27) = (ALGEBRAIC(:,57) - STATES(:,27))./ALGEBRAIC(:,62);
    ALGEBRAIC(:,58) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+69.8040)./4.45650));
    ALGEBRAIC(:,32) =  20.0000.*exp(  - 0.125000.*(ALGEBRAIC(:,20)+75.0000));
    ALGEBRAIC(:,49) = 2000.00./( 320.000.*exp(  - 0.100000.*(ALGEBRAIC(:,20)+75.0000))+1.00000);
    ALGEBRAIC(:,63) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,49));
    RATES(:,30) = (ALGEBRAIC(:,58) - STATES(:,30))./ALGEBRAIC(:,63);
    ALGEBRAIC(:,64) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+42.0504)./8.31060));
    ALGEBRAIC(:,33) = ALGEBRAIC(:,20)+41.0000;
    ALGEBRAIC(:,50) = piecewise({abs(ALGEBRAIC(:,33))<CONSTANTS(:,75), 2000.00 }, ( 200.000.*ALGEBRAIC(:,33))./(1.00000 - exp(  - 0.100000.*ALGEBRAIC(:,33))));
    ALGEBRAIC(:,59) =  8000.00.*exp(  - 0.0560000.*(ALGEBRAIC(:,20)+66.0000));
    ALGEBRAIC(:,67) = 1.00000./(ALGEBRAIC(:,50)+ALGEBRAIC(:,59));
    RATES(:,31) = (ALGEBRAIC(:,64) - STATES(:,31))./ALGEBRAIC(:,67);
    ALGEBRAIC(:,66) = 1.00000./(1.00000+exp( - ((ALGEBRAIC(:,20) - CONSTANTS(:,98)) - CONSTANTS(:,96))./( CONSTANTS(:,46).*(1.00000+CONSTANTS(:,97)./100.000))));
    ALGEBRAIC(:,22) = piecewise({ALGEBRAIC(:,20)== - 41.8000,  - 41.8000 , ALGEBRAIC(:,20)==0.00000, 0.00000 , ALGEBRAIC(:,20)== - 6.80000,  - 6.80001 }, ALGEBRAIC(:,20));
    ALGEBRAIC(:,38) = (  - 0.0283900.*(ALGEBRAIC(:,22)+41.8000))./(exp( - (ALGEBRAIC(:,22)+41.8000)./2.50000) - 1.00000) - ( 0.0849000.*(ALGEBRAIC(:,22)+6.80000))./(exp( - (ALGEBRAIC(:,22)+6.80000)./4.80000) - 1.00000);
    ALGEBRAIC(:,55) = piecewise({ALGEBRAIC(:,20)== - 1.80000,  - 1.80001 }, ALGEBRAIC(:,20));
    ALGEBRAIC(:,61) = ( 0.0114300.*(ALGEBRAIC(:,55)+1.80000))./(exp((ALGEBRAIC(:,55)+1.80000)./2.50000) - 1.00000);
    ALGEBRAIC(:,69) = 0.00100000./(ALGEBRAIC(:,38)+ALGEBRAIC(:,61));
    RATES(:,18) = (ALGEBRAIC(:,66) - STATES(:,18))./ALGEBRAIC(:,69);
    ALGEBRAIC(:,65) =  ( ( (( ( 2.00000.*CONSTANTS(:,51)).*ALGEBRAIC(:,20))./( CONSTANTS(:,93).*(1.00000 - exp(( (  - 1.00000.*ALGEBRAIC(:,20)).*2.00000)./CONSTANTS(:,93))))).*(STATES(:,2) -  CONSTANTS(:,39).*exp((  - 2.00000.*ALGEBRAIC(:,20))./CONSTANTS(:,93)))).*STATES(:,21)).*STATES(:,22);
    ALGEBRAIC(:,78) = (1.00000+ (STATES(:,2)./CONSTANTS(:,66)).*((1.00000+exp((  - CONSTANTS(:,69).*ALGEBRAIC(:,20))./CONSTANTS(:,93)))+STATES(:,16)./CONSTANTS(:,67)))+ (STATES(:,16)./CONSTANTS(:,59)).*(1.00000+ (STATES(:,16)./CONSTANTS(:,61)).*(1.00000+STATES(:,16)./CONSTANTS(:,63)));
    ALGEBRAIC(:,80) = ( (STATES(:,2)./CONSTANTS(:,66)).*exp((  - CONSTANTS(:,69).*ALGEBRAIC(:,20))./CONSTANTS(:,93)))./ALGEBRAIC(:,78);
    ALGEBRAIC(:,79) = (1.00000+ (CONSTANTS(:,39)./CONSTANTS(:,68)).*(1.00000+exp(( CONSTANTS(:,70).*ALGEBRAIC(:,20))./CONSTANTS(:,93))))+ (CONSTANTS(:,41)./CONSTANTS(:,60)).*(1.00000+ (CONSTANTS(:,41)./CONSTANTS(:,62)).*(1.00000+CONSTANTS(:,41)./CONSTANTS(:,64)));
    ALGEBRAIC(:,82) = ( (CONSTANTS(:,39)./CONSTANTS(:,68)).*exp(( CONSTANTS(:,70).*ALGEBRAIC(:,20))./CONSTANTS(:,93)))./ALGEBRAIC(:,79);
    ALGEBRAIC(:,83) = ( ( (( (CONSTANTS(:,41)./CONSTANTS(:,60)).*CONSTANTS(:,41))./CONSTANTS(:,62)).*(1.00000+CONSTANTS(:,41)./CONSTANTS(:,64))).*exp((  - CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93))))./ALGEBRAIC(:,79);
    ALGEBRAIC(:,84) = exp(( CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93)));
    ALGEBRAIC(:,85) = exp((  - CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93)));
    ALGEBRAIC(:,86) = STATES(:,16)./(CONSTANTS(:,63)+STATES(:,16));
    ALGEBRAIC(:,87) =  ( ALGEBRAIC(:,85).*CONSTANTS(:,101)).*(ALGEBRAIC(:,83)+ALGEBRAIC(:,82))+ ( ALGEBRAIC(:,82).*ALGEBRAIC(:,84)).*(ALGEBRAIC(:,86)+ALGEBRAIC(:,85));
    ALGEBRAIC(:,81) = ( ( (( (STATES(:,16)./CONSTANTS(:,59)).*STATES(:,16))./CONSTANTS(:,61)).*(1.00000+STATES(:,16)./CONSTANTS(:,63))).*exp(( CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93))))./ALGEBRAIC(:,78);
    ALGEBRAIC(:,88) =  ( ALGEBRAIC(:,84).*ALGEBRAIC(:,86)).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,80))+ ( ALGEBRAIC(:,85).*ALGEBRAIC(:,80)).*(CONSTANTS(:,101)+ALGEBRAIC(:,84));
    ALGEBRAIC(:,89) =  ( ALGEBRAIC(:,81).*ALGEBRAIC(:,86)).*(ALGEBRAIC(:,83)+ALGEBRAIC(:,82))+ ( ALGEBRAIC(:,80).*ALGEBRAIC(:,83)).*(ALGEBRAIC(:,86)+ALGEBRAIC(:,85));
    ALGEBRAIC(:,90) =  ( ALGEBRAIC(:,83).*CONSTANTS(:,101)).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,80))+ ( ALGEBRAIC(:,81).*ALGEBRAIC(:,82)).*(CONSTANTS(:,101)+ALGEBRAIC(:,84));
    ALGEBRAIC(:,91) = ( CONSTANTS(:,65).*( ALGEBRAIC(:,88).*ALGEBRAIC(:,82) -  ALGEBRAIC(:,87).*ALGEBRAIC(:,80)))./(((ALGEBRAIC(:,87)+ALGEBRAIC(:,88))+ALGEBRAIC(:,89))+ALGEBRAIC(:,90));
    ALGEBRAIC(:,21) =  ( ( ( (( ( 2.00000.*CONSTANTS(:,45)).*(ALGEBRAIC(:,20) - 0.00000))./( CONSTANTS(:,93).*(1.00000 - exp(( (  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000)).*2.00000)./CONSTANTS(:,93))))).*(STATES(:,2) -  CONSTANTS(:,39).*exp((  - 2.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93)))).*STATES(:,18)).*STATES(:,20)).*STATES(:,19);
    RATES(:,2) = ( ALGEBRAIC(:,2).*CONSTANTS(:,89))./CONSTANTS(:,91) - ((((ALGEBRAIC(:,21)+ALGEBRAIC(:,65)) -  2.00000.*ALGEBRAIC(:,91))./( ( 2.00000.*CONSTANTS(:,25)).*CONSTANTS(:,91))+ALGEBRAIC(:,15))+ CONSTANTS(:,10).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,19) =  CONSTANTS(:,93).*log(CONSTANTS(:,41)./STATES(:,16));
    ALGEBRAIC(:,92) =  ( ( ( CONSTANTS(:,87).*CONSTANTS(:,74)).*power(1.00000+power(CONSTANTS(:,72)./CONSTANTS(:,40), 1.20000),  - 1.00000)).*power(1.00000+power(CONSTANTS(:,73)./STATES(:,16), 1.30000),  - 1.00000)).*power(1.00000+exp( - ((ALGEBRAIC(:,20) - ALGEBRAIC(:,19))+110.000)./20.0000),  - 1.00000);
    ALGEBRAIC(:,74) =  CONSTANTS(:,93).*log((CONSTANTS(:,41)+ 0.120000.*CONSTANTS(:,40))./(STATES(:,16)+ 0.120000.*STATES(:,15)));
    ALGEBRAIC(:,75) =  ( ( CONSTANTS(:,57).*power(STATES(:,31), 3.00000)).*STATES(:,30)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,74));
    ALGEBRAIC(:,76) =  ( CONSTANTS(:,58).*power(STATES(:,31), 3.00000)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,74));
    ALGEBRAIC(:,77) = ALGEBRAIC(:,75)+ALGEBRAIC(:,76);
    ALGEBRAIC(:,95) =  ( STATES(:,33).*CONSTANTS(:,80)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,19));
    ALGEBRAIC(:,54) =  ( ( ( (( ( 1.85000e-05.*CONSTANTS(:,45)).*(ALGEBRAIC(:,20) - 0.00000))./( CONSTANTS(:,93).*(1.00000 - exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93))))).*(STATES(:,16) -  CONSTANTS(:,41).*exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93)))).*STATES(:,18)).*STATES(:,20)).*STATES(:,19);
    RATES(:,16) = (  - 1.00000.*((((ALGEBRAIC(:,77)+ALGEBRAIC(:,95))+ALGEBRAIC(:,54))+ 3.00000.*ALGEBRAIC(:,92))+ 3.00000.*ALGEBRAIC(:,91)))./( ( 1.00000.*(CONSTANTS(:,92)+CONSTANTS(:,91))).*CONSTANTS(:,25));
    ALGEBRAIC(:,17) =  CONSTANTS(:,93).*log(CONSTANTS(:,40)./STATES(:,15));
    ALGEBRAIC(:,70) =  ( ( CONSTANTS(:,85).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*( 0.900000.*STATES(:,24)+ 0.100000.*STATES(:,25))).*STATES(:,26);
    ALGEBRAIC(:,71) =  CONSTANTS(:,93).*log((CONSTANTS(:,40)+ 0.120000.*CONSTANTS(:,41))./(STATES(:,15)+ 0.120000.*STATES(:,16)));
    ALGEBRAIC(:,72) =  ( CONSTANTS(:,86).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,71))).*power(STATES(:,27), 2.00000);
    ALGEBRAIC(:,73) =  ( ( CONSTANTS(:,56).*STATES(:,28)).*STATES(:,29)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,93) =  ( CONSTANTS(:,76).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*STATES(:,32);
    ALGEBRAIC(:,94) =  ( STATES(:,33).*CONSTANTS(:,79)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,37) =  ( ( ( (( ( 0.000365000.*CONSTANTS(:,45)).*(ALGEBRAIC(:,20) - 0.00000))./( CONSTANTS(:,93).*(1.00000 - exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93))))).*(STATES(:,15) -  CONSTANTS(:,40).*exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93)))).*STATES(:,18)).*STATES(:,20)).*STATES(:,19);
    ALGEBRAIC(:,97) =  ( ( CONSTANTS(:,82).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*STATES(:,34)).*STATES(:,35);
    RATES(:,15) = (  - 1.00000.*(((((((ALGEBRAIC(:,73)+ALGEBRAIC(:,97))+ALGEBRAIC(:,70))+ALGEBRAIC(:,72))+ALGEBRAIC(:,94))+ALGEBRAIC(:,37))+ALGEBRAIC(:,93)) -  2.00000.*ALGEBRAIC(:,92)))./( ( 1.00000.*(CONSTANTS(:,92)+CONSTANTS(:,91))).*CONSTANTS(:,25));
    ALGEBRAIC(:,60) =  ( ( ((ALGEBRAIC(:,21)+ALGEBRAIC(:,37))+ALGEBRAIC(:,54)).*(1.00000 - CONSTANTS(:,94))).*1.00000).*CONSTANTS(:,95);
    ALGEBRAIC(:,68) = piecewise({CONSTANTS(:,26)>0.00000,  ( ( ( CONSTANTS(:,53).*CONSTANTS(:,54)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*(1.00000+exp((ALGEBRAIC(:,20)+20.0000)./20.0000))).*STATES(:,23) }, 0.00000);
    ALGEBRAIC(:,96) = ALGEBRAIC(:,95)+ALGEBRAIC(:,94);
    ALGEBRAIC(:,98) = ((((((((((ALGEBRAIC(:,96)+ALGEBRAIC(:,70))+ALGEBRAIC(:,72))+ALGEBRAIC(:,97))+ALGEBRAIC(:,92))+ALGEBRAIC(:,91))+ALGEBRAIC(:,77))+ALGEBRAIC(:,60))+ALGEBRAIC(:,65))+ALGEBRAIC(:,68))+ALGEBRAIC(:,73))+ALGEBRAIC(:,93);
    RATES(:,17) =  - ALGEBRAIC(:,98)./CONSTANTS(:,42);
   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(:,3) =  ( CONSTANTS(:,24).*CONSTANTS(:,12)).*(1.00000 - (STATES(:,12)+STATES(:,13))) -  CONSTANTS(:,19).*STATES(:,13);
    ALGEBRAIC(:,7) =  ( CONSTANTS(:,20).*STATES(:,7)).*(1.00000 - STATES(:,8)) -  CONSTANTS(:,15).*STATES(:,8);
    ALGEBRAIC(:,4) = CONSTANTS(:,47)./(CONSTANTS(:,47)+STATES(:,2));
    ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,4))./CONSTANTS(:,48);
    ALGEBRAIC(:,5) = 0.00100000./( 0.0470000.*(( 1000.00.*STATES(:,2))./1.00000)+1.00000./76.0000);
    ALGEBRAIC(:,9) = ( 0.810000.*power(STATES(:,2)./1.00000, CONSTANTS(:,78)))./(power(STATES(:,2)./1.00000, CONSTANTS(:,78))+power(CONSTANTS(:,77)./1.00000, CONSTANTS(:,78)));
    ALGEBRAIC(:,1) = CONSTANTS(:,3) - (CONSTANTS(:,3) - CONSTANTS(:,4))./(1.00000+power(CONSTANTS(:,1)./STATES(:,1), CONSTANTS(:,2)));
    ALGEBRAIC(:,6) =  CONSTANTS(:,5).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,10) = CONSTANTS(:,7)./ALGEBRAIC(:,1);
    ALGEBRAIC(:,11) =  ( CONSTANTS(:,20).*STATES(:,2)).*(1.00000 - STATES(:,9)) -  CONSTANTS(:,15).*STATES(:,9);
    ALGEBRAIC(:,12) =  ( CONSTANTS(:,21).*STATES(:,1)).*(1.00000 - STATES(:,10)) -  CONSTANTS(:,16).*STATES(:,10);
    ALGEBRAIC(:,13) =  ( CONSTANTS(:,22).*STATES(:,7)).*(1.00000 - STATES(:,11)) -  CONSTANTS(:,17).*STATES(:,11);
    ALGEBRAIC(:,14) =  ( CONSTANTS(:,23).*STATES(:,7)).*(1.00000 - (STATES(:,12)+STATES(:,13))) -  CONSTANTS(:,18).*STATES(:,12);
    ALGEBRAIC(:,2) =  ( CONSTANTS(:,9).*STATES(:,4)).*(STATES(:,1) - STATES(:,2));
    ALGEBRAIC(:,16) = (STATES(:,14) - STATES(:,1))./CONSTANTS(:,32);
    ALGEBRAIC(:,18) = CONSTANTS(:,88)./(1.00000+exp(( - STATES(:,7)+CONSTANTS(:,28))./CONSTANTS(:,30)));
    ALGEBRAIC(:,15) = (STATES(:,2) - STATES(:,7))./CONSTANTS(:,31);
    ALGEBRAIC(:,20) = STATES(:,17);
    ALGEBRAIC(:,23) = 1.00000./(1.00000+exp(((ALGEBRAIC(:,20)+12.1847)+CONSTANTS(:,50))./(5.30000+CONSTANTS(:,49))));
    ALGEBRAIC(:,39) =  0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,20)+36.0000)./10.0000, 2.00000)));
    ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+38.3000)./5.50000));
    ALGEBRAIC(:,40) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,20)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,20)+38.3000)./30.0000));
    ALGEBRAIC(:,25) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+58.7000)./3.80000));
    ALGEBRAIC(:,41) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,20)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,20)+75.0000)./15.3800))+CONSTANTS(:,52);
    ALGEBRAIC(:,27) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+10.0144)./7.66070));
    ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,20)./10.0000)+exp( - ALGEBRAIC(:,20)./12.0000));
    ALGEBRAIC(:,44) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,20)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,20)./21.6000));
    ALGEBRAIC(:,28) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+28.6000)./17.1000));
    ALGEBRAIC(:,45) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,20)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,20)./106.157));
    ALGEBRAIC(:,30) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+6.00000)./ - 8.60000));
    ALGEBRAIC(:,47) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,20)+5.00000)./12.0000))+0.000500000;
    ALGEBRAIC(:,31) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+7.50000)./10.0000));
    ALGEBRAIC(:,48) = 0.590000./(1.00000+exp((ALGEBRAIC(:,20)+60.0000)./10.0000))+3.05000;
    ALGEBRAIC(:,34) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(exp( 0.0660000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(1.00000 - exp(  - 0.200000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103))))) - 0.0540000;
    ALGEBRAIC(:,51) = piecewise({ALGEBRAIC(:,20)< - (((80.0000 - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,20)+97.1340) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./8.17520)) },  0.000250100.*exp( - (((ALGEBRAIC(:,20) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./12.8610));
    ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+49.0000)./13.0000));
    ALGEBRAIC(:,52) =  ( 0.00100000.*0.600000).*(65.1700./( 0.570000.*exp(  - 0.0800000.*(ALGEBRAIC(:,20)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,20)+45.9300)))+10.1000);
    ALGEBRAIC(:,36) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20) - 19.3000)./15.0000));
    ALGEBRAIC(:,53) =  ( ( 0.00100000.*0.660000).*1.40000).*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,20)+30.6100))+ 0.369000.*exp(  - 0.120000.*(ALGEBRAIC(:,20)+23.8400)))+2.98000);
    ALGEBRAIC(:,26) =  10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,20)+40.0000));
    ALGEBRAIC(:,42) = CONSTANTS(:,99)./(CONSTANTS(:,99)+ALGEBRAIC(:,26));
    ALGEBRAIC(:,56) = 1.00000./(CONSTANTS(:,99)+ALGEBRAIC(:,26));
    ALGEBRAIC(:,57) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,20)+0.638300) - CONSTANTS(:,100))./10.7071))), 1.0 ./ 2);
    ALGEBRAIC(:,29) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,20) - 40.0000) - CONSTANTS(:,100))./3.00000));
    ALGEBRAIC(:,46) =  1.00000.*exp( - ((ALGEBRAIC(:,20) - CONSTANTS(:,100)) - 5.00000)./25.0000);
    ALGEBRAIC(:,62) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,46));
    ALGEBRAIC(:,58) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+69.8040)./4.45650));
    ALGEBRAIC(:,32) =  20.0000.*exp(  - 0.125000.*(ALGEBRAIC(:,20)+75.0000));
    ALGEBRAIC(:,49) = 2000.00./( 320.000.*exp(  - 0.100000.*(ALGEBRAIC(:,20)+75.0000))+1.00000);
    ALGEBRAIC(:,63) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,49));
    ALGEBRAIC(:,64) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+42.0504)./8.31060));
    ALGEBRAIC(:,33) = ALGEBRAIC(:,20)+41.0000;
    ALGEBRAIC(:,50) = piecewise({abs(ALGEBRAIC(:,33))<CONSTANTS(:,75), 2000.00 }, ( 200.000.*ALGEBRAIC(:,33))./(1.00000 - exp(  - 0.100000.*ALGEBRAIC(:,33))));
    ALGEBRAIC(:,59) =  8000.00.*exp(  - 0.0560000.*(ALGEBRAIC(:,20)+66.0000));
    ALGEBRAIC(:,67) = 1.00000./(ALGEBRAIC(:,50)+ALGEBRAIC(:,59));
    ALGEBRAIC(:,66) = 1.00000./(1.00000+exp( - ((ALGEBRAIC(:,20) - CONSTANTS(:,98)) - CONSTANTS(:,96))./( CONSTANTS(:,46).*(1.00000+CONSTANTS(:,97)./100.000))));
    ALGEBRAIC(:,22) = piecewise({ALGEBRAIC(:,20)== - 41.8000,  - 41.8000 , ALGEBRAIC(:,20)==0.00000, 0.00000 , ALGEBRAIC(:,20)== - 6.80000,  - 6.80001 }, ALGEBRAIC(:,20));
    ALGEBRAIC(:,38) = (  - 0.0283900.*(ALGEBRAIC(:,22)+41.8000))./(exp( - (ALGEBRAIC(:,22)+41.8000)./2.50000) - 1.00000) - ( 0.0849000.*(ALGEBRAIC(:,22)+6.80000))./(exp( - (ALGEBRAIC(:,22)+6.80000)./4.80000) - 1.00000);
    ALGEBRAIC(:,55) = piecewise({ALGEBRAIC(:,20)== - 1.80000,  - 1.80001 }, ALGEBRAIC(:,20));
    ALGEBRAIC(:,61) = ( 0.0114300.*(ALGEBRAIC(:,55)+1.80000))./(exp((ALGEBRAIC(:,55)+1.80000)./2.50000) - 1.00000);
    ALGEBRAIC(:,69) = 0.00100000./(ALGEBRAIC(:,38)+ALGEBRAIC(:,61));
    ALGEBRAIC(:,65) =  ( ( (( ( 2.00000.*CONSTANTS(:,51)).*ALGEBRAIC(:,20))./( CONSTANTS(:,93).*(1.00000 - exp(( (  - 1.00000.*ALGEBRAIC(:,20)).*2.00000)./CONSTANTS(:,93))))).*(STATES(:,2) -  CONSTANTS(:,39).*exp((  - 2.00000.*ALGEBRAIC(:,20))./CONSTANTS(:,93)))).*STATES(:,21)).*STATES(:,22);
    ALGEBRAIC(:,78) = (1.00000+ (STATES(:,2)./CONSTANTS(:,66)).*((1.00000+exp((  - CONSTANTS(:,69).*ALGEBRAIC(:,20))./CONSTANTS(:,93)))+STATES(:,16)./CONSTANTS(:,67)))+ (STATES(:,16)./CONSTANTS(:,59)).*(1.00000+ (STATES(:,16)./CONSTANTS(:,61)).*(1.00000+STATES(:,16)./CONSTANTS(:,63)));
    ALGEBRAIC(:,80) = ( (STATES(:,2)./CONSTANTS(:,66)).*exp((  - CONSTANTS(:,69).*ALGEBRAIC(:,20))./CONSTANTS(:,93)))./ALGEBRAIC(:,78);
    ALGEBRAIC(:,79) = (1.00000+ (CONSTANTS(:,39)./CONSTANTS(:,68)).*(1.00000+exp(( CONSTANTS(:,70).*ALGEBRAIC(:,20))./CONSTANTS(:,93))))+ (CONSTANTS(:,41)./CONSTANTS(:,60)).*(1.00000+ (CONSTANTS(:,41)./CONSTANTS(:,62)).*(1.00000+CONSTANTS(:,41)./CONSTANTS(:,64)));
    ALGEBRAIC(:,82) = ( (CONSTANTS(:,39)./CONSTANTS(:,68)).*exp(( CONSTANTS(:,70).*ALGEBRAIC(:,20))./CONSTANTS(:,93)))./ALGEBRAIC(:,79);
    ALGEBRAIC(:,83) = ( ( (( (CONSTANTS(:,41)./CONSTANTS(:,60)).*CONSTANTS(:,41))./CONSTANTS(:,62)).*(1.00000+CONSTANTS(:,41)./CONSTANTS(:,64))).*exp((  - CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93))))./ALGEBRAIC(:,79);
    ALGEBRAIC(:,84) = exp(( CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93)));
    ALGEBRAIC(:,85) = exp((  - CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93)));
    ALGEBRAIC(:,86) = STATES(:,16)./(CONSTANTS(:,63)+STATES(:,16));
    ALGEBRAIC(:,87) =  ( ALGEBRAIC(:,85).*CONSTANTS(:,101)).*(ALGEBRAIC(:,83)+ALGEBRAIC(:,82))+ ( ALGEBRAIC(:,82).*ALGEBRAIC(:,84)).*(ALGEBRAIC(:,86)+ALGEBRAIC(:,85));
    ALGEBRAIC(:,81) = ( ( (( (STATES(:,16)./CONSTANTS(:,59)).*STATES(:,16))./CONSTANTS(:,61)).*(1.00000+STATES(:,16)./CONSTANTS(:,63))).*exp(( CONSTANTS(:,71).*ALGEBRAIC(:,20))./( 2.00000.*CONSTANTS(:,93))))./ALGEBRAIC(:,78);
    ALGEBRAIC(:,88) =  ( ALGEBRAIC(:,84).*ALGEBRAIC(:,86)).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,80))+ ( ALGEBRAIC(:,85).*ALGEBRAIC(:,80)).*(CONSTANTS(:,101)+ALGEBRAIC(:,84));
    ALGEBRAIC(:,89) =  ( ALGEBRAIC(:,81).*ALGEBRAIC(:,86)).*(ALGEBRAIC(:,83)+ALGEBRAIC(:,82))+ ( ALGEBRAIC(:,80).*ALGEBRAIC(:,83)).*(ALGEBRAIC(:,86)+ALGEBRAIC(:,85));
    ALGEBRAIC(:,90) =  ( ALGEBRAIC(:,83).*CONSTANTS(:,101)).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,80))+ ( ALGEBRAIC(:,81).*ALGEBRAIC(:,82)).*(CONSTANTS(:,101)+ALGEBRAIC(:,84));
    ALGEBRAIC(:,91) = ( CONSTANTS(:,65).*( ALGEBRAIC(:,88).*ALGEBRAIC(:,82) -  ALGEBRAIC(:,87).*ALGEBRAIC(:,80)))./(((ALGEBRAIC(:,87)+ALGEBRAIC(:,88))+ALGEBRAIC(:,89))+ALGEBRAIC(:,90));
    ALGEBRAIC(:,21) =  ( ( ( (( ( 2.00000.*CONSTANTS(:,45)).*(ALGEBRAIC(:,20) - 0.00000))./( CONSTANTS(:,93).*(1.00000 - exp(( (  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000)).*2.00000)./CONSTANTS(:,93))))).*(STATES(:,2) -  CONSTANTS(:,39).*exp((  - 2.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93)))).*STATES(:,18)).*STATES(:,20)).*STATES(:,19);
    ALGEBRAIC(:,19) =  CONSTANTS(:,93).*log(CONSTANTS(:,41)./STATES(:,16));
    ALGEBRAIC(:,92) =  ( ( ( CONSTANTS(:,87).*CONSTANTS(:,74)).*power(1.00000+power(CONSTANTS(:,72)./CONSTANTS(:,40), 1.20000),  - 1.00000)).*power(1.00000+power(CONSTANTS(:,73)./STATES(:,16), 1.30000),  - 1.00000)).*power(1.00000+exp( - ((ALGEBRAIC(:,20) - ALGEBRAIC(:,19))+110.000)./20.0000),  - 1.00000);
    ALGEBRAIC(:,74) =  CONSTANTS(:,93).*log((CONSTANTS(:,41)+ 0.120000.*CONSTANTS(:,40))./(STATES(:,16)+ 0.120000.*STATES(:,15)));
    ALGEBRAIC(:,75) =  ( ( CONSTANTS(:,57).*power(STATES(:,31), 3.00000)).*STATES(:,30)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,74));
    ALGEBRAIC(:,76) =  ( CONSTANTS(:,58).*power(STATES(:,31), 3.00000)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,74));
    ALGEBRAIC(:,77) = ALGEBRAIC(:,75)+ALGEBRAIC(:,76);
    ALGEBRAIC(:,95) =  ( STATES(:,33).*CONSTANTS(:,80)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,19));
    ALGEBRAIC(:,54) =  ( ( ( (( ( 1.85000e-05.*CONSTANTS(:,45)).*(ALGEBRAIC(:,20) - 0.00000))./( CONSTANTS(:,93).*(1.00000 - exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93))))).*(STATES(:,16) -  CONSTANTS(:,41).*exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93)))).*STATES(:,18)).*STATES(:,20)).*STATES(:,19);
    ALGEBRAIC(:,17) =  CONSTANTS(:,93).*log(CONSTANTS(:,40)./STATES(:,15));
    ALGEBRAIC(:,70) =  ( ( CONSTANTS(:,85).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*( 0.900000.*STATES(:,24)+ 0.100000.*STATES(:,25))).*STATES(:,26);
    ALGEBRAIC(:,71) =  CONSTANTS(:,93).*log((CONSTANTS(:,40)+ 0.120000.*CONSTANTS(:,41))./(STATES(:,15)+ 0.120000.*STATES(:,16)));
    ALGEBRAIC(:,72) =  ( CONSTANTS(:,86).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,71))).*power(STATES(:,27), 2.00000);
    ALGEBRAIC(:,73) =  ( ( CONSTANTS(:,56).*STATES(:,28)).*STATES(:,29)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,93) =  ( CONSTANTS(:,76).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*STATES(:,32);
    ALGEBRAIC(:,94) =  ( STATES(:,33).*CONSTANTS(:,79)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17));
    ALGEBRAIC(:,37) =  ( ( ( (( ( 0.000365000.*CONSTANTS(:,45)).*(ALGEBRAIC(:,20) - 0.00000))./( CONSTANTS(:,93).*(1.00000 - exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93))))).*(STATES(:,15) -  CONSTANTS(:,40).*exp((  - 1.00000.*(ALGEBRAIC(:,20) - 0.00000))./CONSTANTS(:,93)))).*STATES(:,18)).*STATES(:,20)).*STATES(:,19);
    ALGEBRAIC(:,97) =  ( ( CONSTANTS(:,82).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*STATES(:,34)).*STATES(:,35);
    ALGEBRAIC(:,60) =  ( ( ((ALGEBRAIC(:,21)+ALGEBRAIC(:,37))+ALGEBRAIC(:,54)).*(1.00000 - CONSTANTS(:,94))).*1.00000).*CONSTANTS(:,95);
    ALGEBRAIC(:,68) = piecewise({CONSTANTS(:,26)>0.00000,  ( ( ( CONSTANTS(:,53).*CONSTANTS(:,54)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*(1.00000+exp((ALGEBRAIC(:,20)+20.0000)./20.0000))).*STATES(:,23) }, 0.00000);
    ALGEBRAIC(:,96) = ALGEBRAIC(:,95)+ALGEBRAIC(:,94);
    ALGEBRAIC(:,98) = ((((((((((ALGEBRAIC(:,96)+ALGEBRAIC(:,70))+ALGEBRAIC(:,72))+ALGEBRAIC(:,97))+ALGEBRAIC(:,92))+ALGEBRAIC(:,91))+ALGEBRAIC(:,77))+ALGEBRAIC(:,60))+ALGEBRAIC(:,65))+ALGEBRAIC(:,68))+ALGEBRAIC(:,73))+ALGEBRAIC(:,93);
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