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 =101;
end
% There are a total of 33 entries in each of the rate and state variable arrays.
% There are a total of 116 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_CONSTANTS(:,1) = strpad('R in component Membrane (joule_per_kilomole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component Membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component Membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,4) = strpad('C in component Membrane (microF)');
LEGEND_CONSTANTS(:,92) = strpad('RTONF in component Membrane (millivolt)');
LEGEND_ALGEBRAIC(:,60) = strpad('i_f in component i_f (nanoA)');
LEGEND_ALGEBRAIC(:,62) = strpad('i_NaK in component i_NaK (nanoA)');
LEGEND_ALGEBRAIC(:,76) = strpad('i_NaCa in component i_NaCa (nanoA)');
LEGEND_ALGEBRAIC(:,80) = strpad('i_Na in component i_Na (nanoA)');
LEGEND_ALGEBRAIC(:,90) = strpad('i_Kr in component i_Kr (nanoA)');
LEGEND_ALGEBRAIC(:,96) = strpad('i_Ks in component i_Ks (nanoA)');
LEGEND_ALGEBRAIC(:,88) = strpad('i_to in component i_to (nanoA)');
LEGEND_ALGEBRAIC(:,84) = strpad('i_CaL in component i_CaL (nanoA)');
LEGEND_ALGEBRAIC(:,85) = strpad('i_CaT in component i_CaT (nanoA)');
LEGEND_ALGEBRAIC(:,99) = strpad('i_KACh in component i_KACh (nanoA)');
LEGEND_ALGEBRAIC(:,86) = strpad('i_Kur in component i_Kur (nanoA)');
LEGEND_ALGEBRAIC(:,10) = strpad('V in component Membrane (millivolt)');
LEGEND_CONSTANTS(:,5) = strpad('clamp_mode in component Membrane (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('V_clamp in component Voltage_clamp (millivolt)');
LEGEND_STATES(:,1) = strpad('V_ode in component Membrane (millivolt)');
LEGEND_ALGEBRAIC(:,101) = strpad('i_tot in component Membrane (nanoA)');
LEGEND_CONSTANTS(:,6) = strpad('t_holding in component Voltage_clamp (second)');
LEGEND_CONSTANTS(:,7) = strpad('t_test in component Voltage_clamp (second)');
LEGEND_CONSTANTS(:,8) = strpad('V_test in component Voltage_clamp (millivolt)');
LEGEND_CONSTANTS(:,9) = strpad('V_holding in component Voltage_clamp (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('ACh in component Rate_modulation_experiments (millimolar)');
LEGEND_CONSTANTS(:,11) = strpad('Iso_1_uM in component Rate_modulation_experiments (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('Nai in component Nai_concentration (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('Nao in component Ionic_values (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('Ki in component Ionic_values (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('Ko in component Ionic_values (millimolar)');
LEGEND_STATES(:,2) = strpad('Ca_sub in component Ca_dynamics (millimolar)');
LEGEND_CONSTANTS(:,15) = strpad('Cao in component Ionic_values (millimolar)');
LEGEND_ALGEBRAIC(:,37) = strpad('E_Na in component Ionic_values (millivolt)');
LEGEND_CONSTANTS(:,97) = strpad('E_K in component Ionic_values (millivolt)');
LEGEND_ALGEBRAIC(:,1) = strpad('E_Ca in component Ionic_values (millivolt)');
LEGEND_CONSTANTS(:,111) = strpad('V_sub in component Cell_parameters (millimetre3)');
LEGEND_CONSTANTS(:,113) = strpad('V_i in component Cell_parameters (millimetre3)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_fNa in component i_f (nanoA)');
LEGEND_ALGEBRAIC(:,83) = strpad('i_siNa in component i_CaL (nanoA)');
LEGEND_STATES(:,3) = strpad('Nai_ in component Nai_concentration (millimolar)');
LEGEND_CONSTANTS(:,16) = strpad('Nai_clamp in component Nai_concentration (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('i_fK in component i_f (nanoA)');
LEGEND_CONSTANTS(:,17) = strpad('g_f in component i_f (microS)');
LEGEND_CONSTANTS(:,93) = strpad('G_f in component i_f (microS)');
LEGEND_CONSTANTS(:,104) = strpad('g_f_Na in component i_f (microS)');
LEGEND_CONSTANTS(:,101) = strpad('G_f_Na in component i_f (microS)');
LEGEND_CONSTANTS(:,102) = strpad('g_f_K in component i_f (microS)');
LEGEND_CONSTANTS(:,98) = strpad('G_f_K in component i_f (microS)');
LEGEND_CONSTANTS(:,18) = strpad('Km_f in component i_f (millimolar)');
LEGEND_CONSTANTS(:,19) = strpad('alpha in component i_f (dimensionless)');
LEGEND_STATES(:,4) = strpad('y in component i_f_y_gate (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('blockade in component i_f (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('tau_y in component i_f_y_gate (second)');
LEGEND_ALGEBRAIC(:,30) = strpad('y_infinity in component i_f_y_gate (dimensionless)');
LEGEND_CONSTANTS(:,96) = strpad('ACh_shift in component i_f_y_gate (millivolt)');
LEGEND_CONSTANTS(:,100) = strpad('Iso_shift in component i_f_y_gate (millivolt)');
LEGEND_CONSTANTS(:,21) = strpad('y_shift in component i_f_y_gate (millivolt)');
LEGEND_CONSTANTS(:,22) = strpad('Km_Kp in component i_NaK (millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('Km_Nap in component i_NaK (millimolar)');
LEGEND_CONSTANTS(:,24) = strpad('i_NaK_max in component i_NaK (nanoA)');
LEGEND_CONSTANTS(:,103) = strpad('Iso_increase in component i_NaK (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('K_NaCa in component i_NaCa (nanoA)');
LEGEND_ALGEBRAIC(:,73) = strpad('x1 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,69) = strpad('x2 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,74) = strpad('x3 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,75) = strpad('x4 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,64) = strpad('k41 in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,105) = strpad('k34 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,72) = strpad('k23 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,71) = strpad('k21 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('k32 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,63) = strpad('k43 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('k12 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,67) = strpad('k14 in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('Qci in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('Qn in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('Qco in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('K3ni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('Kci in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('K1ni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('K2ni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('Kcni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('K3no in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('K1no in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,36) = strpad('K2no in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('Kco in component i_NaCa (millimolar)');
LEGEND_ALGEBRAIC(:,70) = strpad('do in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('di in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('blockade_NaCa in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,78) = strpad('i_Na_ in component i_Na (nanoA)');
LEGEND_ALGEBRAIC(:,79) = strpad('i_Na_L in component i_Na (nanoA)');
LEGEND_CONSTANTS(:,39) = strpad('g_Na in component i_Na (microS)');
LEGEND_CONSTANTS(:,40) = strpad('g_Na_L in component i_Na (microS)');
LEGEND_ALGEBRAIC(:,77) = strpad('E_mh in component i_Na (millivolt)');
LEGEND_STATES(:,5) = strpad('m in component i_Na_m_gate (dimensionless)');
LEGEND_STATES(:,6) = strpad('h in component i_Na_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('alpha_m in component i_Na_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,53) = strpad('beta_m in component i_Na_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('m_infinity in component i_Na_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('tau_m in component i_Na_m_gate (second)');
LEGEND_CONSTANTS(:,41) = strpad('delta_m in component i_Na_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,31) = strpad('E0_m in component i_Na_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,32) = strpad('alpha_h in component i_Na_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,48) = strpad('beta_h in component i_Na_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,13) = strpad('h_infinity in component i_Na_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,54) = strpad('tau_h in component i_Na_h_gate (second)');
LEGEND_ALGEBRAIC(:,81) = strpad('i_siCa in component i_CaL (nanoA)');
LEGEND_ALGEBRAIC(:,82) = strpad('i_siK in component i_CaL (nanoA)');
LEGEND_CONSTANTS(:,107) = strpad('ACh_block in component i_CaL (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('P_CaL in component i_CaL (nanoA_per_millimolar)');
LEGEND_STATES(:,7) = strpad('dL in component i_CaL_dL_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('fL in component i_CaL_fL_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('fCa in component i_CaL_fCa_gate (dimensionless)');
LEGEND_CONSTANTS(:,106) = strpad('Iso_increase in component i_CaL (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('dL_infinity in component i_CaL_dL_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('tau_dL in component i_CaL_dL_gate (second)');
LEGEND_ALGEBRAIC(:,49) = strpad('alpha_dL in component i_CaL_dL_gate (per_second)');
LEGEND_ALGEBRAIC(:,59) = strpad('beta_dL in component i_CaL_dL_gate (per_second)');
LEGEND_ALGEBRAIC(:,33) = strpad('adVm in component i_CaL_dL_gate (millivolt)');
LEGEND_ALGEBRAIC(:,55) = strpad('bdVm in component i_CaL_dL_gate (millivolt)');
LEGEND_CONSTANTS(:,43) = strpad('k_dL in component i_CaL_dL_gate (millivolt)');
LEGEND_CONSTANTS(:,44) = strpad('V_dL in component i_CaL_dL_gate (millivolt)');
LEGEND_CONSTANTS(:,108) = strpad('Iso_shift_dL in component i_CaL_dL_gate (millivolt)');
LEGEND_CONSTANTS(:,109) = strpad('Iso_slope_dL in component i_CaL_dL_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('fL_infinity in component i_CaL_fL_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('tau_fL in component i_CaL_fL_gate (second)');
LEGEND_CONSTANTS(:,45) = strpad('shift_fL in component i_CaL_fL_gate (millivolt)');
LEGEND_CONSTANTS(:,46) = strpad('k_fL in component i_CaL_fL_gate (millivolt)');
LEGEND_CONSTANTS(:,47) = strpad('alpha_fCa in component i_CaL_fCa_gate (per_second)');
LEGEND_ALGEBRAIC(:,2) = strpad('fCa_infinity in component i_CaL_fCa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('tau_fCa in component i_CaL_fCa_gate (second)');
LEGEND_CONSTANTS(:,48) = strpad('Km_fCa in component i_CaL_fCa_gate (millimolar)');
LEGEND_CONSTANTS(:,49) = strpad('P_CaT in component i_CaT (nanoA_per_millimolar)');
LEGEND_STATES(:,10) = strpad('dT in component i_CaT_dT_gate (dimensionless)');
LEGEND_STATES(:,11) = strpad('fT in component i_CaT_fT_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('dT_infinity in component i_CaT_dT_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,35) = strpad('tau_dT in component i_CaT_dT_gate (second)');
LEGEND_ALGEBRAIC(:,17) = strpad('fT_infinity in component i_CaT_fT_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,36) = strpad('tau_fT in component i_CaT_fT_gate (second)');
LEGEND_CONSTANTS(:,50) = strpad('offset_fT in component i_CaT_fT_gate (second)');
LEGEND_ALGEBRAIC(:,87) = strpad('j_SRCarel in component Ca_SR_release (millimolar_per_second)');
LEGEND_STATES(:,12) = strpad('R in component Ca_SR_release (dimensionless)');
LEGEND_STATES(:,13) = strpad('O in component Ca_SR_release (dimensionless)');
LEGEND_STATES(:,14) = strpad('I in component Ca_SR_release (dimensionless)');
LEGEND_STATES(:,15) = strpad('RI in component Ca_SR_release (dimensionless)');
LEGEND_CONSTANTS(:,51) = strpad('ks in component Ca_SR_release (per_second)');
LEGEND_CONSTANTS(:,52) = strpad('MaxSR in component Ca_SR_release (dimensionless)');
LEGEND_CONSTANTS(:,53) = strpad('MinSR in component Ca_SR_release (dimensionless)');
LEGEND_CONSTANTS(:,54) = strpad('EC50_SR in component Ca_SR_release (millimolar)');
LEGEND_CONSTANTS(:,55) = strpad('HSR in component Ca_SR_release (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('koSRCa in component Ca_SR_release (per_millimolar2_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('kiSRCa in component Ca_SR_release (per_millimolar_second)');
LEGEND_CONSTANTS(:,56) = strpad('koCa in component Ca_SR_release (per_millimolar2_second)');
LEGEND_CONSTANTS(:,57) = strpad('kiCa in component Ca_SR_release (per_millimolar_second)');
LEGEND_ALGEBRAIC(:,3) = strpad('kCaSR in component Ca_SR_release (dimensionless)');
LEGEND_CONSTANTS(:,58) = strpad('kim in component Ca_SR_release (per_second)');
LEGEND_CONSTANTS(:,59) = strpad('kom in component Ca_SR_release (per_second)');
LEGEND_STATES(:,16) = strpad('Ca_jsr in component Ca_dynamics (millimolar)');
LEGEND_ALGEBRAIC(:,4) = strpad('diff in component Ca_SR_release (millimolar)');
LEGEND_ALGEBRAIC(:,5) = strpad('P_tot in component Ca_SR_release (dimensionless)');
LEGEND_ALGEBRAIC(:,89) = strpad('j_Ca_dif in component Ca_intracellular_fluxes (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,92) = strpad('j_up in component Ca_intracellular_fluxes (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,95) = strpad('j_tr in component Ca_intracellular_fluxes (millimolar_per_second)');
LEGEND_CONSTANTS(:,60) = strpad('tau_dif_Ca in component Ca_intracellular_fluxes (second)');
LEGEND_CONSTANTS(:,61) = strpad('tau_tr in component Ca_intracellular_fluxes (second)');
LEGEND_CONSTANTS(:,99) = strpad('P_up in component Ca_intracellular_fluxes (millimolar_per_second)');
LEGEND_CONSTANTS(:,62) = strpad('P_up_basal in component Ca_intracellular_fluxes (millimolar_per_second)');
LEGEND_CONSTANTS(:,94) = strpad('b_up in component Ca_intracellular_fluxes (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('K_up in component Ca_intracellular_fluxes (millimolar)');
LEGEND_STATES(:,17) = strpad('Ca_nsr in component Ca_dynamics (millimolar)');
LEGEND_STATES(:,18) = strpad('Cai in component Ca_dynamics (millimolar)');
LEGEND_CONSTANTS(:,64) = strpad('slope_up in component Ca_intracellular_fluxes (millimolar)');
LEGEND_CONSTANTS(:,65) = strpad('TC_tot in component Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,66) = strpad('TMC_tot in component Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,67) = strpad('CM_tot in component Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,68) = strpad('CQ_tot in component Ca_buffering (millimolar)');
LEGEND_ALGEBRAIC(:,94) = strpad('delta_fTC in component Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,97) = strpad('delta_fTMC in component Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,91) = strpad('delta_fCMs in component Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,100) = strpad('delta_fCMi in component Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,98) = strpad('delta_fCQ in component Ca_buffering (per_second)');
LEGEND_ALGEBRAIC(:,7) = strpad('delta_fTMM in component Ca_buffering (per_second)');
LEGEND_STATES(:,19) = strpad('fTMM in component Ca_buffering (dimensionless)');
LEGEND_STATES(:,20) = strpad('fCMi in component Ca_buffering (dimensionless)');
LEGEND_STATES(:,21) = strpad('fCMs in component Ca_buffering (dimensionless)');
LEGEND_STATES(:,22) = strpad('fTC in component Ca_buffering (dimensionless)');
LEGEND_STATES(:,23) = strpad('fTMC in component Ca_buffering (dimensionless)');
LEGEND_STATES(:,24) = strpad('fCQ in component Ca_buffering (dimensionless)');
LEGEND_CONSTANTS(:,69) = strpad('kf_TC in component Ca_buffering (per_millimolar_second)');
LEGEND_CONSTANTS(:,70) = strpad('kf_TMM in component Ca_buffering (per_millimolar_second)');
LEGEND_CONSTANTS(:,71) = strpad('kf_TMC in component Ca_buffering (per_millimolar_second)');
LEGEND_CONSTANTS(:,72) = strpad('kf_CM in component Ca_buffering (per_millimolar_second)');
LEGEND_CONSTANTS(:,73) = strpad('kf_CQ in component Ca_buffering (per_millimolar_second)');
LEGEND_CONSTANTS(:,74) = strpad('kb_TC in component Ca_buffering (per_second)');
LEGEND_CONSTANTS(:,75) = strpad('kb_TMC in component Ca_buffering (per_second)');
LEGEND_CONSTANTS(:,76) = strpad('kb_TMM in component Ca_buffering (per_second)');
LEGEND_CONSTANTS(:,77) = strpad('kb_CM in component Ca_buffering (per_second)');
LEGEND_CONSTANTS(:,78) = strpad('kb_CQ in component Ca_buffering (per_second)');
LEGEND_CONSTANTS(:,79) = strpad('Mgi in component Ca_buffering (millimolar)');
LEGEND_CONSTANTS(:,112) = strpad('V_jsr in component Cell_parameters (millimetre3)');
LEGEND_CONSTANTS(:,114) = strpad('V_nsr in component Cell_parameters (millimetre3)');
LEGEND_CONSTANTS(:,110) = strpad('V_cell in component Cell_parameters (millimetre3)');
LEGEND_CONSTANTS(:,80) = strpad('V_jsr_part in component Cell_parameters (dimensionless)');
LEGEND_CONSTANTS(:,81) = strpad('V_i_part in component Cell_parameters (dimensionless)');
LEGEND_CONSTANTS(:,82) = strpad('V_nsr_part in component Cell_parameters (dimensionless)');
LEGEND_CONSTANTS(:,83) = strpad('R_cell in component Cell_parameters (micrometre)');
LEGEND_CONSTANTS(:,84) = strpad('L_cell in component Cell_parameters (micrometre)');
LEGEND_CONSTANTS(:,85) = strpad('L_sub in component Cell_parameters (micrometre)');
LEGEND_CONSTANTS(:,86) = strpad('g_Kur in component i_Kur (microS)');
LEGEND_STATES(:,25) = strpad('r_Kur in component i_Kur_rKur_gate (dimensionless)');
LEGEND_STATES(:,26) = strpad('s_Kur in component i_Kur_sKur_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('tau_r_Kur in component i_Kur_rKur_gate (second)');
LEGEND_ALGEBRAIC(:,20) = strpad('r_Kur_infinity in component i_Kur_rKur_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('tau_s_Kur in component i_Kur_sKur_gate (second)');
LEGEND_ALGEBRAIC(:,21) = strpad('s_Kur_infinity in component i_Kur_sKur_gate (dimensionless)');
LEGEND_CONSTANTS(:,87) = strpad('g_to in component i_to (microS)');
LEGEND_STATES(:,27) = strpad('q in component i_to_q_gate (dimensionless)');
LEGEND_STATES(:,28) = strpad('r in component i_to_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('q_infinity in component i_to_q_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('tau_q in component i_to_q_gate (second)');
LEGEND_ALGEBRAIC(:,23) = strpad('r_infinity in component i_to_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('tau_r in component i_to_r_gate (second)');
LEGEND_CONSTANTS(:,88) = strpad('g_Kr in component i_Kr (microS)');
LEGEND_STATES(:,29) = strpad('paS in component i_Kr_pa_gate (dimensionless)');
LEGEND_STATES(:,30) = strpad('paF in component i_Kr_pa_gate (dimensionless)');
LEGEND_STATES(:,31) = strpad('piy in component i_Kr_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('pa_infinity in component i_Kr_pa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('alfapaF in component i_Kr_pa_gate (per_second)');
LEGEND_ALGEBRAIC(:,26) = strpad('betapaF in component i_Kr_pa_gate (per_second)');
LEGEND_ALGEBRAIC(:,42) = strpad('tau_paS in component i_Kr_pa_gate (second)');
LEGEND_ALGEBRAIC(:,43) = strpad('tau_paF in component i_Kr_pa_gate (second)');
LEGEND_ALGEBRAIC(:,44) = strpad('pi_infinity in component i_Kr_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('tau_pi in component i_Kr_pi_gate (second)');
LEGEND_CONSTANTS(:,95) = strpad('g_Ks in component i_Ks (microS)');
LEGEND_CONSTANTS(:,89) = strpad('g_Ks_ in component i_Ks (microS)');
LEGEND_ALGEBRAIC(:,93) = strpad('E_Ks in component i_Ks (millivolt)');
LEGEND_STATES(:,32) = strpad('n in component i_Ks_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('n_infinity in component i_Ks_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('tau_n in component i_Ks_n_gate (second)');
LEGEND_CONSTANTS(:,115) = strpad('Iso_shift in component i_Ks_n_gate (millivolt)');
LEGEND_ALGEBRAIC(:,45) = strpad('alpha_n in component i_Ks_n_gate (per_second)');
LEGEND_ALGEBRAIC(:,51) = strpad('beta_n in component i_Ks_n_gate (per_second)');
LEGEND_CONSTANTS(:,90) = strpad('g_KACh in component i_KACh (microS)');
LEGEND_STATES(:,33) = strpad('a in component i_KACh_a_gate (dimensionless)');
LEGEND_CONSTANTS(:,91) = strpad('ACh_on in component i_KACh (dimensionless)');
LEGEND_CONSTANTS(:,116) = strpad('alpha_a in component i_KACh_a_gate (per_second)');
LEGEND_ALGEBRAIC(:,29) = strpad('beta_a in component i_KACh_a_gate (per_second)');
LEGEND_ALGEBRAIC(:,46) = strpad('a_infinity in component i_KACh_a_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('tau_a in component i_KACh_a_gate (second)');
LEGEND_RATES(:,1) = strpad('d/dt V_ode in component Membrane (millivolt)');
LEGEND_RATES(:,3) = strpad('d/dt Nai_ in component Nai_concentration (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt y in component i_f_y_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt m in component i_Na_m_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt h in component i_Na_h_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt dL in component i_CaL_dL_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt fL in component i_CaL_fL_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt fCa in component i_CaL_fCa_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt dT in component i_CaT_dT_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt fT in component i_CaT_fT_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt R in component Ca_SR_release (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt O in component Ca_SR_release (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt I in component Ca_SR_release (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt RI in component Ca_SR_release (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt fTC in component Ca_buffering (dimensionless)');
LEGEND_RATES(:,23) = strpad('d/dt fTMC in component Ca_buffering (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt fTMM in component Ca_buffering (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt fCMi in component Ca_buffering (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt fCMs in component Ca_buffering (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt fCQ in component Ca_buffering (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt Cai in component Ca_dynamics (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt Ca_sub in component Ca_dynamics (millimolar)');
LEGEND_RATES(:,17) = strpad('d/dt Ca_nsr in component Ca_dynamics (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt Ca_jsr in component Ca_dynamics (millimolar)');
LEGEND_RATES(:,25) = strpad('d/dt r_Kur in component i_Kur_rKur_gate (dimensionless)');
LEGEND_RATES(:,26) = strpad('d/dt s_Kur in component i_Kur_sKur_gate (dimensionless)');
LEGEND_RATES(:,27) = strpad('d/dt q in component i_to_q_gate (dimensionless)');
LEGEND_RATES(:,28) = strpad('d/dt r in component i_to_r_gate (dimensionless)');
LEGEND_RATES(:,29) = strpad('d/dt paS in component i_Kr_pa_gate (dimensionless)');
LEGEND_RATES(:,30) = strpad('d/dt paF in component i_Kr_pa_gate (dimensionless)');
LEGEND_RATES(:,31) = strpad('d/dt piy in component i_Kr_pi_gate (dimensionless)');
LEGEND_RATES(:,32) = strpad('d/dt n in component i_Ks_n_gate (dimensionless)');
LEGEND_RATES(:,33) = strpad('d/dt a in component i_KACh_a_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 = [];
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 5.7e-5;
CONSTANTS(:,5) = 0;
STATES(:,1) = -47.787168;
CONSTANTS(:,6) = 0.5;
CONSTANTS(:,7) = 0.5;
CONSTANTS(:,8) = -35;
CONSTANTS(:,9) = -45;
CONSTANTS(:,10) = 0;
CONSTANTS(:,11) = 0;
CONSTANTS(:,12) = 140;
CONSTANTS(:,13) = 140;
CONSTANTS(:,14) = 5.4;
STATES(:,2) = 6.226104e-5;
CONSTANTS(:,15) = 1.8;
STATES(:,3) = 5;
CONSTANTS(:,16) = 1;
CONSTANTS(:,17) = 0.00427;
CONSTANTS(:,18) = 45;
CONSTANTS(:,19) = 0.5927;
STATES(:,4) = 0.009508;
CONSTANTS(:,20) = 0;
CONSTANTS(:,21) = 0;
CONSTANTS(:,22) = 1.4;
CONSTANTS(:,23) = 14;
CONSTANTS(:,24) = 0.08105;
CONSTANTS(:,25) = 3.343;
CONSTANTS(:,26) = 0.1369;
CONSTANTS(:,27) = 0.4315;
CONSTANTS(:,28) = 0;
CONSTANTS(:,29) = 26.44;
CONSTANTS(:,30) = 0.0207;
CONSTANTS(:,31) = 395.3;
CONSTANTS(:,32) = 2.289;
CONSTANTS(:,33) = 26.44;
CONSTANTS(:,34) = 4.663;
CONSTANTS(:,35) = 1628;
CONSTANTS(:,36) = 561.4;
CONSTANTS(:,37) = 3.663;
CONSTANTS(:,38) = 0;
CONSTANTS(:,39) = 0.0223;
CONSTANTS(:,40) = 0;
STATES(:,5) = 0.447724;
STATES(:,6) = 0.003058;
CONSTANTS(:,41) = 1e-5;
CONSTANTS(:,42) = 0.4578;
STATES(:,7) = 0.001921;
STATES(:,8) = 0.846702;
STATES(:,9) = 0.844449;
CONSTANTS(:,43) = 4.3371;
CONSTANTS(:,44) = -16.4508;
CONSTANTS(:,45) = 0;
CONSTANTS(:,46) = 0;
CONSTANTS(:,47) = 0.0075;
CONSTANTS(:,48) = 0.000338;
CONSTANTS(:,49) = 0.04132;
STATES(:,10) = 0.268909;
STATES(:,11) = 0.020484;
CONSTANTS(:,50) = 0;
STATES(:,12) = 0.9308;
STATES(:,13) = 6.181512e-9;
STATES(:,14) = 4.595622e-10;
STATES(:,15) = 0.069199;
CONSTANTS(:,51) = 148041085.1;
CONSTANTS(:,52) = 15;
CONSTANTS(:,53) = 1;
CONSTANTS(:,54) = 0.45;
CONSTANTS(:,55) = 2.5;
CONSTANTS(:,56) = 10000;
CONSTANTS(:,57) = 500;
CONSTANTS(:,58) = 5;
CONSTANTS(:,59) = 660;
STATES(:,16) = 0.409551;
CONSTANTS(:,60) = 5.469e-5;
CONSTANTS(:,61) = 0.04;
CONSTANTS(:,62) = 5;
CONSTANTS(:,63) = 0.000286113;
STATES(:,17) = 0.435148;
STATES(:,18) = 9.15641e-6;
CONSTANTS(:,64) = 5e-5;
CONSTANTS(:,65) = 0.031;
CONSTANTS(:,66) = 0.062;
CONSTANTS(:,67) = 0.045;
CONSTANTS(:,68) = 10;
STATES(:,19) = 0.653777;
STATES(:,20) = 0.217311;
STATES(:,21) = 0.158521;
STATES(:,22) = 0.017929;
STATES(:,23) = 0.259947;
STATES(:,24) = 0.138975;
CONSTANTS(:,69) = 88800;
CONSTANTS(:,70) = 2277;
CONSTANTS(:,71) = 227700;
CONSTANTS(:,72) = 1.642e6;
CONSTANTS(:,73) = 175.4;
CONSTANTS(:,74) = 446;
CONSTANTS(:,75) = 7.51;
CONSTANTS(:,76) = 751;
CONSTANTS(:,77) = 542;
CONSTANTS(:,78) = 445;
CONSTANTS(:,79) = 2.5;
CONSTANTS(:,80) = 0.0012;
CONSTANTS(:,81) = 0.46;
CONSTANTS(:,82) = 0.0116;
CONSTANTS(:,83) = 3.9;
CONSTANTS(:,84) = 67;
CONSTANTS(:,85) = 0.02;
CONSTANTS(:,86) = 0.1539e-3;
STATES(:,25) = 0.011845;
STATES(:,26) = 0.845304;
CONSTANTS(:,87) = 3.5e-3;
STATES(:,27) = 0.430836;
STATES(:,28) = 0.014523;
CONSTANTS(:,88) = 0.00424;
STATES(:,29) = 0.283185;
STATES(:,30) = 0.011068;
STATES(:,31) = 0.709051;
CONSTANTS(:,89) = 0.00065;
STATES(:,32) = 0.1162;
CONSTANTS(:,90) = 0.00345;
STATES(:,33) = 0.00277;
CONSTANTS(:,91) = 1;
CONSTANTS(:,92) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3);
CONSTANTS(:,93) = CONSTANTS(:,17)./(CONSTANTS(:,14)./(CONSTANTS(:,14)+CONSTANTS(:,18)));
CONSTANTS(:,94) = piecewise({CONSTANTS(:,11)>0.00000, - 0.250000 , CONSTANTS(:,10)>0.00000, ( 0.700000.*CONSTANTS(:,10))./(9.00000e-05+CONSTANTS(:,10)) }, 0.00000);
CONSTANTS(:,95) = piecewise({CONSTANTS(:,11)>0.00000, 1.20000.*CONSTANTS(:,89) }, CONSTANTS(:,89));
CONSTANTS(:,96) = piecewise({CONSTANTS(:,10)>0.00000, - 1.00000 - ( 9.89800.*power( 1.00000.*CONSTANTS(:,10), 0.618000))./(power( 1.00000.*CONSTANTS(:,10), 0.618000)+0.00122423) }, 0.00000);
CONSTANTS(:,97) = CONSTANTS(:,92).*log(CONSTANTS(:,14)./CONSTANTS(:,13));
CONSTANTS(:,98) = CONSTANTS(:,93)./(CONSTANTS(:,19)+1.00000);
CONSTANTS(:,99) = CONSTANTS(:,62).*(1.00000 - CONSTANTS(:,94));
CONSTANTS(:,100) = piecewise({CONSTANTS(:,11)>0.00000, 7.50000 }, 0.00000);
CONSTANTS(:,101) = CONSTANTS(:,19).*CONSTANTS(:,98);
CONSTANTS(:,102) = ( CONSTANTS(:,98).*CONSTANTS(:,14))./(CONSTANTS(:,14)+CONSTANTS(:,18));
CONSTANTS(:,103) = piecewise({CONSTANTS(:,11)>0.00000, 1.20000 }, 1.00000);
CONSTANTS(:,104) = ( CONSTANTS(:,101).*CONSTANTS(:,14))./(CONSTANTS(:,14)+CONSTANTS(:,18));
CONSTANTS(:,105) = CONSTANTS(:,12)./(CONSTANTS(:,34)+CONSTANTS(:,12));
CONSTANTS(:,106) = piecewise({CONSTANTS(:,11)>0.00000, 1.23000 }, 1.00000);
CONSTANTS(:,107) = ( 0.310000.*CONSTANTS(:,10))./(CONSTANTS(:,10)+9.00000e-05);
CONSTANTS(:,108) = piecewise({CONSTANTS(:,11)>0.00000, - 8.00000 }, 0.00000);
CONSTANTS(:,109) = piecewise({CONSTANTS(:,11)>0.00000, - 27.0000 }, 0.00000);
CONSTANTS(:,110) = 1.00000e-09.* pi.*power(CONSTANTS(:,83), 2.00000).*CONSTANTS(:,84);
CONSTANTS(:,111) = 1.00000e-09.*2.00000.* pi.*CONSTANTS(:,85).*(CONSTANTS(:,83) - CONSTANTS(:,85)./2.00000).*CONSTANTS(:,84);
CONSTANTS(:,112) = CONSTANTS(:,80).*CONSTANTS(:,110);
CONSTANTS(:,113) = CONSTANTS(:,81).*CONSTANTS(:,110) - CONSTANTS(:,111);
CONSTANTS(:,114) = CONSTANTS(:,82).*CONSTANTS(:,110);
CONSTANTS(:,115) = piecewise({CONSTANTS(:,11)>0.00000, - 14.0000 }, 0.00000);
CONSTANTS(:,116) = (3.59880 - 0.0256410)./(1.00000+1.21550e-06./power( 1.00000.*CONSTANTS(:,10), 1.69510))+0.0256410;
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(:,7) = CONSTANTS(:,70).*CONSTANTS(:,79).*(1.00000 - (STATES(:,23)+STATES(:,19))) - CONSTANTS(:,76).*STATES(:,19);
RATES(:,19) = ALGEBRAIC(:,7);
ALGEBRAIC(:,2) = CONSTANTS(:,48)./(CONSTANTS(:,48)+STATES(:,2));
ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,2))./CONSTANTS(:,47);
RATES(:,9) = (ALGEBRAIC(:,2) - STATES(:,9))./ALGEBRAIC(:,8);
ALGEBRAIC(:,3) = CONSTANTS(:,52) - (CONSTANTS(:,52) - CONSTANTS(:,53))./(1.00000+power(CONSTANTS(:,54)./STATES(:,16), CONSTANTS(:,55)));
ALGEBRAIC(:,9) = CONSTANTS(:,56)./ALGEBRAIC(:,3);
ALGEBRAIC(:,18) = CONSTANTS(:,57).*ALGEBRAIC(:,3);
RATES(:,12) = ( CONSTANTS(:,58).*STATES(:,15) - ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,12)) - ( ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,12) - CONSTANTS(:,59).*STATES(:,13));
RATES(:,13) = ( ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,12) - CONSTANTS(:,59).*STATES(:,13)) - ( ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,13) - CONSTANTS(:,58).*STATES(:,14));
RATES(:,14) = ( ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,13) - CONSTANTS(:,58).*STATES(:,14)) - ( CONSTANTS(:,59).*STATES(:,14) - ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,15));
RATES(:,15) = ( CONSTANTS(:,59).*STATES(:,14) - ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,15)) - ( CONSTANTS(:,58).*STATES(:,15) - ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,12));
ALGEBRAIC(:,6) = piecewise({VOI>CONSTANTS(:,6)&VOI<CONSTANTS(:,6)+CONSTANTS(:,7), CONSTANTS(:,8) }, CONSTANTS(:,9));
ALGEBRAIC(:,10) = piecewise({CONSTANTS(:,5)>=1.00000, ALGEBRAIC(:,6) }, STATES(:,1));
ALGEBRAIC(:,11) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(exp( 0.0660000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(1.00000 - exp( - 0.200000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100))))) - 0.0540000;
ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,10)< - (((80.0000 - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,10)+97.1340) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./8.17520)) }, 0.000250100.*exp( - (((ALGEBRAIC(:,10) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./12.8610));
RATES(:,4) = (ALGEBRAIC(:,30) - STATES(:,4))./ALGEBRAIC(:,11);
ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+37.4000+CONSTANTS(:,45))./(5.30000+CONSTANTS(:,46))));
ALGEBRAIC(:,34) = 0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,10)+36.0000)./10.0000, 2.00000)));
RATES(:,8) = (ALGEBRAIC(:,15) - STATES(:,8))./ALGEBRAIC(:,34);
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+38.3000)./5.50000));
ALGEBRAIC(:,35) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,10)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,10)+38.3000)./30.0000));
RATES(:,10) = (ALGEBRAIC(:,16) - STATES(:,10))./ALGEBRAIC(:,35);
ALGEBRAIC(:,17) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+58.7000)./3.80000));
ALGEBRAIC(:,36) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,10)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,10)+75.0000)./15.3800))+CONSTANTS(:,50);
RATES(:,11) = (ALGEBRAIC(:,17) - STATES(:,11))./ALGEBRAIC(:,36);
ALGEBRAIC(:,38) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,10)+5.00000)./12.0000))+0.000500000;
ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+6.00000)./ - 8.60000));
RATES(:,25) = (ALGEBRAIC(:,20) - STATES(:,25))./ALGEBRAIC(:,38);
ALGEBRAIC(:,39) = 0.590000./(1.00000+exp((ALGEBRAIC(:,10)+60.0000)./10.0000))+3.05000;
ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+7.50000)./10.0000));
RATES(:,26) = (ALGEBRAIC(:,21) - STATES(:,26))./ALGEBRAIC(:,39);
ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+49.0000)./13.0000));
ALGEBRAIC(:,40) = 0.00100000.*0.600000.*(65.1700./( 0.570000.*exp( - 0.0800000.*(ALGEBRAIC(:,10)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,10)+45.9300)))+10.1000);
RATES(:,27) = (ALGEBRAIC(:,22) - STATES(:,27))./ALGEBRAIC(:,40);
ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10) - 19.3000)./15.0000));
ALGEBRAIC(:,41) = 0.00100000.*0.660000.*1.40000.*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,10)+30.6100))+ 0.369000.*exp( - 0.120000.*(ALGEBRAIC(:,10)+23.8400)))+2.98000);
RATES(:,28) = (ALGEBRAIC(:,23) - STATES(:,28))./ALGEBRAIC(:,41);
ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+10.0144)./7.66070));
ALGEBRAIC(:,42) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,10)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,10)./21.6000));
RATES(:,29) = (ALGEBRAIC(:,24) - STATES(:,29))./ALGEBRAIC(:,42);
ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,10)./10.0000)+exp( - ALGEBRAIC(:,10)./12.0000));
RATES(:,30) = (ALGEBRAIC(:,24) - STATES(:,30))./ALGEBRAIC(:,43);
ALGEBRAIC(:,44) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+28.6000)./17.1000));
ALGEBRAIC(:,27) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,10)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,10)./106.157));
RATES(:,31) = (ALGEBRAIC(:,44) - STATES(:,31))./ALGEBRAIC(:,27);
ALGEBRAIC(:,29) = 10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,10)+40.0000));
ALGEBRAIC(:,46) = CONSTANTS(:,116)./(CONSTANTS(:,116)+ALGEBRAIC(:,29));
ALGEBRAIC(:,52) = 1.00000./(CONSTANTS(:,116)+ALGEBRAIC(:,29));
RATES(:,33) = (ALGEBRAIC(:,46) - STATES(:,33))./ALGEBRAIC(:,52);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+69.8040)./4.45650));
ALGEBRAIC(:,32) = 20.0000.*exp( - 0.125000.*(ALGEBRAIC(:,10)+75.0000));
ALGEBRAIC(:,48) = 2000.00./( 320.000.*exp( - 0.100000.*(ALGEBRAIC(:,10)+75.0000))+1.00000);
ALGEBRAIC(:,54) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,48));
RATES(:,6) = (ALGEBRAIC(:,13) - STATES(:,6))./ALGEBRAIC(:,54);
ALGEBRAIC(:,28) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,10)+0.638300) - CONSTANTS(:,115))./10.7071))), 1.0 ./ 2);
ALGEBRAIC(:,45) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,10) - 40.0000) - CONSTANTS(:,115))./3.00000));
ALGEBRAIC(:,51) = 1.00000.*exp( - ((ALGEBRAIC(:,10) - CONSTANTS(:,115)) - 5.00000)./25.0000);
ALGEBRAIC(:,57) = 1.00000./(ALGEBRAIC(:,45)+ALGEBRAIC(:,51));
RATES(:,32) = (ALGEBRAIC(:,28) - STATES(:,32))./ALGEBRAIC(:,57);
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+42.0504)./8.31060));
ALGEBRAIC(:,31) = ALGEBRAIC(:,10)+41.0000;
ALGEBRAIC(:,47) = piecewise({abs(ALGEBRAIC(:,31))<CONSTANTS(:,41), 2000.00 }, ( 200.000.*ALGEBRAIC(:,31))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,31))));
ALGEBRAIC(:,53) = 8000.00.*exp( - 0.0560000.*(ALGEBRAIC(:,10)+66.0000));
ALGEBRAIC(:,58) = 1.00000./(ALGEBRAIC(:,47)+ALGEBRAIC(:,53));
RATES(:,5) = (ALGEBRAIC(:,12) - STATES(:,5))./ALGEBRAIC(:,58);
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - ((ALGEBRAIC(:,10) - CONSTANTS(:,44)) - CONSTANTS(:,108))./( CONSTANTS(:,43).*(1.00000+CONSTANTS(:,109)./100.000))));
ALGEBRAIC(:,33) = piecewise({ALGEBRAIC(:,10)== - 41.8000, - 41.8000 , ALGEBRAIC(:,10)==0.00000, 0.00000 , ALGEBRAIC(:,10)== - 6.80000, - 6.80001 }, ALGEBRAIC(:,10));
ALGEBRAIC(:,49) = ( - 0.0283900.*(ALGEBRAIC(:,33)+41.8000))./(exp( - (ALGEBRAIC(:,33)+41.8000)./2.50000) - 1.00000) - ( 0.0849000.*(ALGEBRAIC(:,33)+6.80000))./(exp( - (ALGEBRAIC(:,33)+6.80000)./4.80000) - 1.00000);
ALGEBRAIC(:,55) = piecewise({ALGEBRAIC(:,10)== - 1.80000, - 1.80001 }, ALGEBRAIC(:,10));
ALGEBRAIC(:,59) = ( 0.0114300.*(ALGEBRAIC(:,55)+1.80000))./(exp((ALGEBRAIC(:,55)+1.80000)./2.50000) - 1.00000);
ALGEBRAIC(:,61) = 0.00100000./(ALGEBRAIC(:,49)+ALGEBRAIC(:,59));
RATES(:,7) = (ALGEBRAIC(:,14) - STATES(:,7))./ALGEBRAIC(:,61);
ALGEBRAIC(:,19) = STATES(:,3);
ALGEBRAIC(:,37) = CONSTANTS(:,92).*log(CONSTANTS(:,12)./ALGEBRAIC(:,19));
ALGEBRAIC(:,62) = CONSTANTS(:,103).*CONSTANTS(:,24).*power(1.00000+power(CONSTANTS(:,22)./CONSTANTS(:,14), 1.20000), - 1.00000).*power(1.00000+power(CONSTANTS(:,23)./ALGEBRAIC(:,19), 1.30000), - 1.00000).*power(1.00000+exp( - ((ALGEBRAIC(:,10) - ALGEBRAIC(:,37))+110.000)./20.0000), - 1.00000);
ALGEBRAIC(:,64) = exp(( - CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92)));
ALGEBRAIC(:,70) = 1.00000+ (CONSTANTS(:,15)./CONSTANTS(:,37)).*(1.00000+exp(( CONSTANTS(:,28).*ALGEBRAIC(:,10))./CONSTANTS(:,92)))+ (CONSTANTS(:,12)./CONSTANTS(:,35)).*(1.00000+ (CONSTANTS(:,12)./CONSTANTS(:,36)).*(1.00000+CONSTANTS(:,12)./CONSTANTS(:,34)));
ALGEBRAIC(:,72) = ( (( (CONSTANTS(:,12)./CONSTANTS(:,35)).*CONSTANTS(:,12))./CONSTANTS(:,36)).*(1.00000+CONSTANTS(:,12)./CONSTANTS(:,34)).*exp(( - CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92))))./ALGEBRAIC(:,70);
ALGEBRAIC(:,71) = ( (CONSTANTS(:,15)./CONSTANTS(:,37)).*exp(( CONSTANTS(:,28).*ALGEBRAIC(:,10))./CONSTANTS(:,92)))./ALGEBRAIC(:,70);
ALGEBRAIC(:,68) = exp(( CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92)));
ALGEBRAIC(:,63) = ALGEBRAIC(:,19)./(CONSTANTS(:,29)+ALGEBRAIC(:,19));
ALGEBRAIC(:,73) = ALGEBRAIC(:,64).*CONSTANTS(:,105).*(ALGEBRAIC(:,72)+ALGEBRAIC(:,71))+ ALGEBRAIC(:,71).*ALGEBRAIC(:,68).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,64));
ALGEBRAIC(:,65) = 1.00000+ (STATES(:,2)./CONSTANTS(:,30)).*(1.00000+exp(( - CONSTANTS(:,26).*ALGEBRAIC(:,10))./CONSTANTS(:,92))+ALGEBRAIC(:,19)./CONSTANTS(:,33))+ (ALGEBRAIC(:,19)./CONSTANTS(:,31)).*(1.00000+ (ALGEBRAIC(:,19)./CONSTANTS(:,32)).*(1.00000+ALGEBRAIC(:,19)./CONSTANTS(:,29)));
ALGEBRAIC(:,66) = ( (STATES(:,2)./CONSTANTS(:,30)).*exp(( - CONSTANTS(:,26).*ALGEBRAIC(:,10))./CONSTANTS(:,92)))./ALGEBRAIC(:,65);
ALGEBRAIC(:,67) = ( (( (ALGEBRAIC(:,19)./CONSTANTS(:,31)).*ALGEBRAIC(:,19))./CONSTANTS(:,32)).*(1.00000+ALGEBRAIC(:,19)./CONSTANTS(:,29)).*exp(( CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92))))./ALGEBRAIC(:,65);
ALGEBRAIC(:,69) = ALGEBRAIC(:,68).*ALGEBRAIC(:,63).*(ALGEBRAIC(:,67)+ALGEBRAIC(:,66))+ ALGEBRAIC(:,64).*ALGEBRAIC(:,66).*(CONSTANTS(:,105)+ALGEBRAIC(:,68));
ALGEBRAIC(:,74) = ALGEBRAIC(:,67).*ALGEBRAIC(:,63).*(ALGEBRAIC(:,72)+ALGEBRAIC(:,71))+ ALGEBRAIC(:,66).*ALGEBRAIC(:,72).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,64));
ALGEBRAIC(:,75) = ALGEBRAIC(:,72).*CONSTANTS(:,105).*(ALGEBRAIC(:,67)+ALGEBRAIC(:,66))+ ALGEBRAIC(:,67).*ALGEBRAIC(:,71).*(CONSTANTS(:,105)+ALGEBRAIC(:,68));
ALGEBRAIC(:,76) = ( (1.00000 - CONSTANTS(:,38)).*CONSTANTS(:,25).*( ALGEBRAIC(:,69).*ALGEBRAIC(:,71) - ALGEBRAIC(:,73).*ALGEBRAIC(:,66)))./(ALGEBRAIC(:,73)+ALGEBRAIC(:,69)+ALGEBRAIC(:,74)+ALGEBRAIC(:,75));
ALGEBRAIC(:,77) = CONSTANTS(:,92).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,14))./(ALGEBRAIC(:,19)+ 0.120000.*CONSTANTS(:,13)));
ALGEBRAIC(:,78) = CONSTANTS(:,39).*power(STATES(:,5), 3.00000).*STATES(:,6).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,77));
ALGEBRAIC(:,79) = CONSTANTS(:,40).*power(STATES(:,5), 3.00000).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,77));
ALGEBRAIC(:,80) = ALGEBRAIC(:,78)+ALGEBRAIC(:,79);
ALGEBRAIC(:,50) = STATES(:,4).*CONSTANTS(:,104).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,37)).*(1.00000 - CONSTANTS(:,20));
ALGEBRAIC(:,83) = (( 1.85000e-05.*CONSTANTS(:,42).*(ALGEBRAIC(:,10) - 0.00000))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))))).*(ALGEBRAIC(:,19) - CONSTANTS(:,12).*exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))).*STATES(:,7).*STATES(:,8).*STATES(:,9);
RATES(:,3) = ( (1.00000 - CONSTANTS(:,16)).* - 1.00000.*(ALGEBRAIC(:,80)+ALGEBRAIC(:,50)+ALGEBRAIC(:,83)+ 3.00000.*ALGEBRAIC(:,62)+ 3.00000.*ALGEBRAIC(:,76)))./( 1.00000.*(CONSTANTS(:,113)+CONSTANTS(:,111)).*CONSTANTS(:,3));
ALGEBRAIC(:,91) = CONSTANTS(:,72).*STATES(:,2).*(1.00000 - STATES(:,21)) - CONSTANTS(:,77).*STATES(:,21);
RATES(:,21) = ALGEBRAIC(:,91);
ALGEBRAIC(:,85) = (( 2.00000.*CONSTANTS(:,49).*ALGEBRAIC(:,10))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,10).*2.00000)./CONSTANTS(:,92))))).*(STATES(:,2) - CONSTANTS(:,15).*exp(( - 2.00000.*ALGEBRAIC(:,10))./CONSTANTS(:,92))).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,81) = (( 2.00000.*CONSTANTS(:,42).*(ALGEBRAIC(:,10) - 0.00000))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000).*2.00000)./CONSTANTS(:,92))))).*(STATES(:,2) - CONSTANTS(:,15).*exp(( - 2.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))).*STATES(:,7).*STATES(:,8).*STATES(:,9);
ALGEBRAIC(:,87) = CONSTANTS(:,51).*STATES(:,13).*(STATES(:,16) - STATES(:,2));
ALGEBRAIC(:,89) = (STATES(:,2) - STATES(:,18))./CONSTANTS(:,60);
RATES(:,2) = ( ALGEBRAIC(:,87).*CONSTANTS(:,112))./CONSTANTS(:,111) - (((ALGEBRAIC(:,81)+ALGEBRAIC(:,85)) - 2.00000.*ALGEBRAIC(:,76))./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,111))+ALGEBRAIC(:,89)+ CONSTANTS(:,67).*ALGEBRAIC(:,91));
ALGEBRAIC(:,94) = CONSTANTS(:,69).*STATES(:,18).*(1.00000 - STATES(:,22)) - CONSTANTS(:,74).*STATES(:,22);
RATES(:,22) = ALGEBRAIC(:,94);
ALGEBRAIC(:,92) = CONSTANTS(:,99)./(1.00000+exp(( - STATES(:,18)+CONSTANTS(:,63))./CONSTANTS(:,64)));
ALGEBRAIC(:,95) = (STATES(:,17) - STATES(:,16))./CONSTANTS(:,61);
RATES(:,17) = ALGEBRAIC(:,92) - ( ALGEBRAIC(:,95).*CONSTANTS(:,112))./CONSTANTS(:,114);
ALGEBRAIC(:,97) = CONSTANTS(:,71).*STATES(:,18).*(1.00000 - (STATES(:,23)+STATES(:,19))) - CONSTANTS(:,75).*STATES(:,23);
RATES(:,23) = ALGEBRAIC(:,97);
ALGEBRAIC(:,98) = CONSTANTS(:,73).*STATES(:,16).*(1.00000 - STATES(:,24)) - CONSTANTS(:,78).*STATES(:,24);
RATES(:,24) = ALGEBRAIC(:,98);
RATES(:,16) = ALGEBRAIC(:,95) - (ALGEBRAIC(:,87)+ CONSTANTS(:,68).*ALGEBRAIC(:,98));
ALGEBRAIC(:,100) = CONSTANTS(:,72).*STATES(:,18).*(1.00000 - STATES(:,20)) - CONSTANTS(:,77).*STATES(:,20);
RATES(:,20) = ALGEBRAIC(:,100);
RATES(:,18) = ( 1.00000.*( ALGEBRAIC(:,89).*CONSTANTS(:,111) - ALGEBRAIC(:,92).*CONSTANTS(:,114)))./CONSTANTS(:,113) - ( CONSTANTS(:,67).*ALGEBRAIC(:,100)+ CONSTANTS(:,65).*ALGEBRAIC(:,94)+ CONSTANTS(:,66).*ALGEBRAIC(:,97));
ALGEBRAIC(:,56) = STATES(:,4).*CONSTANTS(:,102).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*(1.00000 - CONSTANTS(:,20));
ALGEBRAIC(:,60) = ALGEBRAIC(:,50)+ALGEBRAIC(:,56);
ALGEBRAIC(:,90) = CONSTANTS(:,88).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*( 0.900000.*STATES(:,30)+ 0.100000.*STATES(:,29)).*STATES(:,31);
ALGEBRAIC(:,93) = CONSTANTS(:,92).*log((CONSTANTS(:,14)+ 0.120000.*CONSTANTS(:,12))./(CONSTANTS(:,13)+ 0.120000.*ALGEBRAIC(:,19)));
ALGEBRAIC(:,96) = CONSTANTS(:,95).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,93)).*power(STATES(:,32), 2.00000);
ALGEBRAIC(:,88) = CONSTANTS(:,87).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*STATES(:,27).*STATES(:,28);
ALGEBRAIC(:,82) = (( 0.000365000.*CONSTANTS(:,42).*(ALGEBRAIC(:,10) - 0.00000))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))))).*(CONSTANTS(:,13) - CONSTANTS(:,14).*exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))).*STATES(:,7).*STATES(:,8).*STATES(:,9);
ALGEBRAIC(:,84) = (ALGEBRAIC(:,81)+ALGEBRAIC(:,82)+ALGEBRAIC(:,83)).*(1.00000 - CONSTANTS(:,107)).*1.00000.*CONSTANTS(:,106);
ALGEBRAIC(:,99) = piecewise({CONSTANTS(:,10)>0.00000, CONSTANTS(:,91).*CONSTANTS(:,90).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*(1.00000+exp((ALGEBRAIC(:,10)+20.0000)./20.0000)).*STATES(:,33) }, 0.00000);
ALGEBRAIC(:,86) = CONSTANTS(:,86).*STATES(:,25).*STATES(:,26).*(ALGEBRAIC(:,10) - CONSTANTS(:,97));
ALGEBRAIC(:,101) = ALGEBRAIC(:,60)+ALGEBRAIC(:,90)+ALGEBRAIC(:,96)+ALGEBRAIC(:,88)+ALGEBRAIC(:,62)+ALGEBRAIC(:,76)+ALGEBRAIC(:,80)+ALGEBRAIC(:,84)+ALGEBRAIC(:,85)+ALGEBRAIC(:,99)+ALGEBRAIC(:,86);
RATES(:,1) = - ALGEBRAIC(:,101)./CONSTANTS(:,4);
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(:,7) = CONSTANTS(:,70).*CONSTANTS(:,79).*(1.00000 - (STATES(:,23)+STATES(:,19))) - CONSTANTS(:,76).*STATES(:,19);
ALGEBRAIC(:,2) = CONSTANTS(:,48)./(CONSTANTS(:,48)+STATES(:,2));
ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,2))./CONSTANTS(:,47);
ALGEBRAIC(:,3) = CONSTANTS(:,52) - (CONSTANTS(:,52) - CONSTANTS(:,53))./(1.00000+power(CONSTANTS(:,54)./STATES(:,16), CONSTANTS(:,55)));
ALGEBRAIC(:,9) = CONSTANTS(:,56)./ALGEBRAIC(:,3);
ALGEBRAIC(:,18) = CONSTANTS(:,57).*ALGEBRAIC(:,3);
ALGEBRAIC(:,6) = piecewise({VOI>CONSTANTS(:,6)&VOI<CONSTANTS(:,6)+CONSTANTS(:,7), CONSTANTS(:,8) }, CONSTANTS(:,9));
ALGEBRAIC(:,10) = piecewise({CONSTANTS(:,5)>=1.00000, ALGEBRAIC(:,6) }, STATES(:,1));
ALGEBRAIC(:,11) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(exp( 0.0660000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(1.00000 - exp( - 0.200000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100))))) - 0.0540000;
ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,10)< - (((80.0000 - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,10)+97.1340) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./8.17520)) }, 0.000250100.*exp( - (((ALGEBRAIC(:,10) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./12.8610));
ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+37.4000+CONSTANTS(:,45))./(5.30000+CONSTANTS(:,46))));
ALGEBRAIC(:,34) = 0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,10)+36.0000)./10.0000, 2.00000)));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+38.3000)./5.50000));
ALGEBRAIC(:,35) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,10)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,10)+38.3000)./30.0000));
ALGEBRAIC(:,17) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+58.7000)./3.80000));
ALGEBRAIC(:,36) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,10)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,10)+75.0000)./15.3800))+CONSTANTS(:,50);
ALGEBRAIC(:,38) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,10)+5.00000)./12.0000))+0.000500000;
ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+6.00000)./ - 8.60000));
ALGEBRAIC(:,39) = 0.590000./(1.00000+exp((ALGEBRAIC(:,10)+60.0000)./10.0000))+3.05000;
ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+7.50000)./10.0000));
ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+49.0000)./13.0000));
ALGEBRAIC(:,40) = 0.00100000.*0.600000.*(65.1700./( 0.570000.*exp( - 0.0800000.*(ALGEBRAIC(:,10)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,10)+45.9300)))+10.1000);
ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10) - 19.3000)./15.0000));
ALGEBRAIC(:,41) = 0.00100000.*0.660000.*1.40000.*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,10)+30.6100))+ 0.369000.*exp( - 0.120000.*(ALGEBRAIC(:,10)+23.8400)))+2.98000);
ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+10.0144)./7.66070));
ALGEBRAIC(:,42) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,10)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,10)./21.6000));
ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,10)./10.0000)+exp( - ALGEBRAIC(:,10)./12.0000));
ALGEBRAIC(:,44) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+28.6000)./17.1000));
ALGEBRAIC(:,27) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,10)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,10)./106.157));
ALGEBRAIC(:,29) = 10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,10)+40.0000));
ALGEBRAIC(:,46) = CONSTANTS(:,116)./(CONSTANTS(:,116)+ALGEBRAIC(:,29));
ALGEBRAIC(:,52) = 1.00000./(CONSTANTS(:,116)+ALGEBRAIC(:,29));
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+69.8040)./4.45650));
ALGEBRAIC(:,32) = 20.0000.*exp( - 0.125000.*(ALGEBRAIC(:,10)+75.0000));
ALGEBRAIC(:,48) = 2000.00./( 320.000.*exp( - 0.100000.*(ALGEBRAIC(:,10)+75.0000))+1.00000);
ALGEBRAIC(:,54) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,48));
ALGEBRAIC(:,28) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,10)+0.638300) - CONSTANTS(:,115))./10.7071))), 1.0 ./ 2);
ALGEBRAIC(:,45) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,10) - 40.0000) - CONSTANTS(:,115))./3.00000));
ALGEBRAIC(:,51) = 1.00000.*exp( - ((ALGEBRAIC(:,10) - CONSTANTS(:,115)) - 5.00000)./25.0000);
ALGEBRAIC(:,57) = 1.00000./(ALGEBRAIC(:,45)+ALGEBRAIC(:,51));
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+42.0504)./8.31060));
ALGEBRAIC(:,31) = ALGEBRAIC(:,10)+41.0000;
ALGEBRAIC(:,47) = piecewise({abs(ALGEBRAIC(:,31))<CONSTANTS(:,41), 2000.00 }, ( 200.000.*ALGEBRAIC(:,31))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,31))));
ALGEBRAIC(:,53) = 8000.00.*exp( - 0.0560000.*(ALGEBRAIC(:,10)+66.0000));
ALGEBRAIC(:,58) = 1.00000./(ALGEBRAIC(:,47)+ALGEBRAIC(:,53));
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - ((ALGEBRAIC(:,10) - CONSTANTS(:,44)) - CONSTANTS(:,108))./( CONSTANTS(:,43).*(1.00000+CONSTANTS(:,109)./100.000))));
ALGEBRAIC(:,33) = piecewise({ALGEBRAIC(:,10)== - 41.8000, - 41.8000 , ALGEBRAIC(:,10)==0.00000, 0.00000 , ALGEBRAIC(:,10)== - 6.80000, - 6.80001 }, ALGEBRAIC(:,10));
ALGEBRAIC(:,49) = ( - 0.0283900.*(ALGEBRAIC(:,33)+41.8000))./(exp( - (ALGEBRAIC(:,33)+41.8000)./2.50000) - 1.00000) - ( 0.0849000.*(ALGEBRAIC(:,33)+6.80000))./(exp( - (ALGEBRAIC(:,33)+6.80000)./4.80000) - 1.00000);
ALGEBRAIC(:,55) = piecewise({ALGEBRAIC(:,10)== - 1.80000, - 1.80001 }, ALGEBRAIC(:,10));
ALGEBRAIC(:,59) = ( 0.0114300.*(ALGEBRAIC(:,55)+1.80000))./(exp((ALGEBRAIC(:,55)+1.80000)./2.50000) - 1.00000);
ALGEBRAIC(:,61) = 0.00100000./(ALGEBRAIC(:,49)+ALGEBRAIC(:,59));
ALGEBRAIC(:,19) = STATES(:,3);
ALGEBRAIC(:,37) = CONSTANTS(:,92).*log(CONSTANTS(:,12)./ALGEBRAIC(:,19));
ALGEBRAIC(:,62) = CONSTANTS(:,103).*CONSTANTS(:,24).*power(1.00000+power(CONSTANTS(:,22)./CONSTANTS(:,14), 1.20000), - 1.00000).*power(1.00000+power(CONSTANTS(:,23)./ALGEBRAIC(:,19), 1.30000), - 1.00000).*power(1.00000+exp( - ((ALGEBRAIC(:,10) - ALGEBRAIC(:,37))+110.000)./20.0000), - 1.00000);
ALGEBRAIC(:,64) = exp(( - CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92)));
ALGEBRAIC(:,70) = 1.00000+ (CONSTANTS(:,15)./CONSTANTS(:,37)).*(1.00000+exp(( CONSTANTS(:,28).*ALGEBRAIC(:,10))./CONSTANTS(:,92)))+ (CONSTANTS(:,12)./CONSTANTS(:,35)).*(1.00000+ (CONSTANTS(:,12)./CONSTANTS(:,36)).*(1.00000+CONSTANTS(:,12)./CONSTANTS(:,34)));
ALGEBRAIC(:,72) = ( (( (CONSTANTS(:,12)./CONSTANTS(:,35)).*CONSTANTS(:,12))./CONSTANTS(:,36)).*(1.00000+CONSTANTS(:,12)./CONSTANTS(:,34)).*exp(( - CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92))))./ALGEBRAIC(:,70);
ALGEBRAIC(:,71) = ( (CONSTANTS(:,15)./CONSTANTS(:,37)).*exp(( CONSTANTS(:,28).*ALGEBRAIC(:,10))./CONSTANTS(:,92)))./ALGEBRAIC(:,70);
ALGEBRAIC(:,68) = exp(( CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92)));
ALGEBRAIC(:,63) = ALGEBRAIC(:,19)./(CONSTANTS(:,29)+ALGEBRAIC(:,19));
ALGEBRAIC(:,73) = ALGEBRAIC(:,64).*CONSTANTS(:,105).*(ALGEBRAIC(:,72)+ALGEBRAIC(:,71))+ ALGEBRAIC(:,71).*ALGEBRAIC(:,68).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,64));
ALGEBRAIC(:,65) = 1.00000+ (STATES(:,2)./CONSTANTS(:,30)).*(1.00000+exp(( - CONSTANTS(:,26).*ALGEBRAIC(:,10))./CONSTANTS(:,92))+ALGEBRAIC(:,19)./CONSTANTS(:,33))+ (ALGEBRAIC(:,19)./CONSTANTS(:,31)).*(1.00000+ (ALGEBRAIC(:,19)./CONSTANTS(:,32)).*(1.00000+ALGEBRAIC(:,19)./CONSTANTS(:,29)));
ALGEBRAIC(:,66) = ( (STATES(:,2)./CONSTANTS(:,30)).*exp(( - CONSTANTS(:,26).*ALGEBRAIC(:,10))./CONSTANTS(:,92)))./ALGEBRAIC(:,65);
ALGEBRAIC(:,67) = ( (( (ALGEBRAIC(:,19)./CONSTANTS(:,31)).*ALGEBRAIC(:,19))./CONSTANTS(:,32)).*(1.00000+ALGEBRAIC(:,19)./CONSTANTS(:,29)).*exp(( CONSTANTS(:,27).*ALGEBRAIC(:,10))./( 2.00000.*CONSTANTS(:,92))))./ALGEBRAIC(:,65);
ALGEBRAIC(:,69) = ALGEBRAIC(:,68).*ALGEBRAIC(:,63).*(ALGEBRAIC(:,67)+ALGEBRAIC(:,66))+ ALGEBRAIC(:,64).*ALGEBRAIC(:,66).*(CONSTANTS(:,105)+ALGEBRAIC(:,68));
ALGEBRAIC(:,74) = ALGEBRAIC(:,67).*ALGEBRAIC(:,63).*(ALGEBRAIC(:,72)+ALGEBRAIC(:,71))+ ALGEBRAIC(:,66).*ALGEBRAIC(:,72).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,64));
ALGEBRAIC(:,75) = ALGEBRAIC(:,72).*CONSTANTS(:,105).*(ALGEBRAIC(:,67)+ALGEBRAIC(:,66))+ ALGEBRAIC(:,67).*ALGEBRAIC(:,71).*(CONSTANTS(:,105)+ALGEBRAIC(:,68));
ALGEBRAIC(:,76) = ( (1.00000 - CONSTANTS(:,38)).*CONSTANTS(:,25).*( ALGEBRAIC(:,69).*ALGEBRAIC(:,71) - ALGEBRAIC(:,73).*ALGEBRAIC(:,66)))./(ALGEBRAIC(:,73)+ALGEBRAIC(:,69)+ALGEBRAIC(:,74)+ALGEBRAIC(:,75));
ALGEBRAIC(:,77) = CONSTANTS(:,92).*log((CONSTANTS(:,12)+ 0.120000.*CONSTANTS(:,14))./(ALGEBRAIC(:,19)+ 0.120000.*CONSTANTS(:,13)));
ALGEBRAIC(:,78) = CONSTANTS(:,39).*power(STATES(:,5), 3.00000).*STATES(:,6).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,77));
ALGEBRAIC(:,79) = CONSTANTS(:,40).*power(STATES(:,5), 3.00000).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,77));
ALGEBRAIC(:,80) = ALGEBRAIC(:,78)+ALGEBRAIC(:,79);
ALGEBRAIC(:,50) = STATES(:,4).*CONSTANTS(:,104).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,37)).*(1.00000 - CONSTANTS(:,20));
ALGEBRAIC(:,83) = (( 1.85000e-05.*CONSTANTS(:,42).*(ALGEBRAIC(:,10) - 0.00000))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))))).*(ALGEBRAIC(:,19) - CONSTANTS(:,12).*exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))).*STATES(:,7).*STATES(:,8).*STATES(:,9);
ALGEBRAIC(:,91) = CONSTANTS(:,72).*STATES(:,2).*(1.00000 - STATES(:,21)) - CONSTANTS(:,77).*STATES(:,21);
ALGEBRAIC(:,85) = (( 2.00000.*CONSTANTS(:,49).*ALGEBRAIC(:,10))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,10).*2.00000)./CONSTANTS(:,92))))).*(STATES(:,2) - CONSTANTS(:,15).*exp(( - 2.00000.*ALGEBRAIC(:,10))./CONSTANTS(:,92))).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,81) = (( 2.00000.*CONSTANTS(:,42).*(ALGEBRAIC(:,10) - 0.00000))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000).*2.00000)./CONSTANTS(:,92))))).*(STATES(:,2) - CONSTANTS(:,15).*exp(( - 2.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))).*STATES(:,7).*STATES(:,8).*STATES(:,9);
ALGEBRAIC(:,87) = CONSTANTS(:,51).*STATES(:,13).*(STATES(:,16) - STATES(:,2));
ALGEBRAIC(:,89) = (STATES(:,2) - STATES(:,18))./CONSTANTS(:,60);
ALGEBRAIC(:,94) = CONSTANTS(:,69).*STATES(:,18).*(1.00000 - STATES(:,22)) - CONSTANTS(:,74).*STATES(:,22);
ALGEBRAIC(:,92) = CONSTANTS(:,99)./(1.00000+exp(( - STATES(:,18)+CONSTANTS(:,63))./CONSTANTS(:,64)));
ALGEBRAIC(:,95) = (STATES(:,17) - STATES(:,16))./CONSTANTS(:,61);
ALGEBRAIC(:,97) = CONSTANTS(:,71).*STATES(:,18).*(1.00000 - (STATES(:,23)+STATES(:,19))) - CONSTANTS(:,75).*STATES(:,23);
ALGEBRAIC(:,98) = CONSTANTS(:,73).*STATES(:,16).*(1.00000 - STATES(:,24)) - CONSTANTS(:,78).*STATES(:,24);
ALGEBRAIC(:,100) = CONSTANTS(:,72).*STATES(:,18).*(1.00000 - STATES(:,20)) - CONSTANTS(:,77).*STATES(:,20);
ALGEBRAIC(:,56) = STATES(:,4).*CONSTANTS(:,102).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*(1.00000 - CONSTANTS(:,20));
ALGEBRAIC(:,60) = ALGEBRAIC(:,50)+ALGEBRAIC(:,56);
ALGEBRAIC(:,90) = CONSTANTS(:,88).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*( 0.900000.*STATES(:,30)+ 0.100000.*STATES(:,29)).*STATES(:,31);
ALGEBRAIC(:,93) = CONSTANTS(:,92).*log((CONSTANTS(:,14)+ 0.120000.*CONSTANTS(:,12))./(CONSTANTS(:,13)+ 0.120000.*ALGEBRAIC(:,19)));
ALGEBRAIC(:,96) = CONSTANTS(:,95).*(ALGEBRAIC(:,10) - ALGEBRAIC(:,93)).*power(STATES(:,32), 2.00000);
ALGEBRAIC(:,88) = CONSTANTS(:,87).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*STATES(:,27).*STATES(:,28);
ALGEBRAIC(:,82) = (( 0.000365000.*CONSTANTS(:,42).*(ALGEBRAIC(:,10) - 0.00000))./( CONSTANTS(:,92).*(1.00000 - exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))))).*(CONSTANTS(:,13) - CONSTANTS(:,14).*exp(( - 1.00000.*(ALGEBRAIC(:,10) - 0.00000))./CONSTANTS(:,92))).*STATES(:,7).*STATES(:,8).*STATES(:,9);
ALGEBRAIC(:,84) = (ALGEBRAIC(:,81)+ALGEBRAIC(:,82)+ALGEBRAIC(:,83)).*(1.00000 - CONSTANTS(:,107)).*1.00000.*CONSTANTS(:,106);
ALGEBRAIC(:,99) = piecewise({CONSTANTS(:,10)>0.00000, CONSTANTS(:,91).*CONSTANTS(:,90).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*(1.00000+exp((ALGEBRAIC(:,10)+20.0000)./20.0000)).*STATES(:,33) }, 0.00000);
ALGEBRAIC(:,86) = CONSTANTS(:,86).*STATES(:,25).*STATES(:,26).*(ALGEBRAIC(:,10) - CONSTANTS(:,97));
ALGEBRAIC(:,101) = ALGEBRAIC(:,60)+ALGEBRAIC(:,90)+ALGEBRAIC(:,96)+ALGEBRAIC(:,88)+ALGEBRAIC(:,62)+ALGEBRAIC(:,76)+ALGEBRAIC(:,80)+ALGEBRAIC(:,84)+ALGEBRAIC(:,85)+ALGEBRAIC(:,99)+ALGEBRAIC(:,86);
ALGEBRAIC(:,1) = 0.500000.*CONSTANTS(:,92).*log(CONSTANTS(:,15)./STATES(:,2));
ALGEBRAIC(:,4) = STATES(:,16) - STATES(:,2);
ALGEBRAIC(:,5) = STATES(:,12)+STATES(:,13)+STATES(:,14)+STATES(:,15);
ALGEBRAIC(:,25) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+23.2000)./6.60000)))./(0.846554./( 37.2000.*exp(ALGEBRAIC(:,10)./11.9000)+ 0.960000.*exp( - ALGEBRAIC(:,10)./18.5000)));
ALGEBRAIC(:,26) = 4.00000.*(( 37.2000.*exp(ALGEBRAIC(:,10)./15.9000)+ 0.960000.*exp( - ALGEBRAIC(:,10)./22.5000))./0.846554 - (1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+23.2000)./10.6000)))./(0.846554./( 37.2000.*exp(ALGEBRAIC(:,10)./15.9000)+ 0.960000.*exp( - ALGEBRAIC(:,10)./22.5000))));
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