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 =89;
end
% There are a total of 19 entries in each of the rate and state variable arrays.
% There are a total of 79 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (ms)');
LEGEND_STATES(:,1) = strpad('V in component cell (millivolt)');
LEGEND_CONSTANTS(:,1) = strpad('R in component cell (joule_per_kilomole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component cell (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component cell (coulomb_per_mole)');
LEGEND_ALGEBRAIC(:,4) = strpad('I_st in component cell (microA_per_microF)');
LEGEND_ALGEBRAIC(:,28) = strpad('i_Na in component fast_sodium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,75) = strpad('i_Ca_L in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,80) = strpad('i_Ca_T in component T_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,77) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,55) = strpad('i_K_Na in component sodium_activated_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,85) = strpad('i_NaCa in component Na_Ca_exchanger (microA_per_microF)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_K1 in component time_independent_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,45) = strpad('i_K_ATP in component ATP_sensitive_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,46) = strpad('i_to in component transient_outward_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_Kp in component plateau_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,78) = strpad('i_p_Ca in component sarcolemmal_calcium_pump (microA_per_microF)');
LEGEND_ALGEBRAIC(:,56) = strpad('i_Na_b in component sodium_background_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,81) = strpad('i_Ca_b in component calcium_background_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,58) = strpad('i_NaK in component sodium_potassium_pump (microA_per_microF)');
LEGEND_ALGEBRAIC(:,84) = strpad('i_ns_Ca in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,86) = strpad('dVdt in component cell (microA_per_microF)');
LEGEND_CONSTANTS(:,4) = strpad('stim_start in component cell (ms)');
LEGEND_CONSTANTS(:,5) = strpad('stim_end in component cell (ms)');
LEGEND_CONSTANTS(:,6) = strpad('stim_period in component cell (ms)');
LEGEND_CONSTANTS(:,7) = strpad('stim_duration in component cell (ms)');
LEGEND_CONSTANTS(:,8) = strpad('stim_amplitude in component cell (microA_per_microF)');
LEGEND_ALGEBRAIC(:,17) = strpad('E_Na in component fast_sodium_current (millivolt)');
LEGEND_CONSTANTS(:,9) = strpad('g_Na in component fast_sodium_current (milliS_per_microF)');
LEGEND_STATES(:,2) = strpad('Nai in component ionic_concentrations (millimolar)');
LEGEND_CONSTANTS(:,10) = strpad('Nao in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('j in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('alpha_m in component fast_sodium_current_m_gate (per_ms)');
LEGEND_ALGEBRAIC(:,27) = strpad('beta_m in component fast_sodium_current_m_gate (per_ms)');
LEGEND_ALGEBRAIC(:,1) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h in component fast_sodium_current_h_gate (per_ms)');
LEGEND_ALGEBRAIC(:,15) = strpad('beta_h in component fast_sodium_current_h_gate (per_ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_j in component fast_sodium_current_j_gate (per_ms)');
LEGEND_ALGEBRAIC(:,16) = strpad('beta_j in component fast_sodium_current_j_gate (per_ms)');
LEGEND_ALGEBRAIC(:,70) = strpad('i_CaCa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,73) = strpad('i_CaK in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,71) = strpad('i_CaNa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_CONSTANTS(:,11) = strpad('gamma_Nai in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('gamma_Nao in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('gamma_Ki in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('gamma_Ko in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('gamma_Cai in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('gamma_Cao in component L_type_Ca_channel (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('I_CaCa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,38) = strpad('I_CaK in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,33) = strpad('I_CaNa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_CONSTANTS(:,17) = strpad('P_Ca in component L_type_Ca_channel (litre_per_farad_millisecond)');
LEGEND_CONSTANTS(:,18) = strpad('P_Na in component L_type_Ca_channel (litre_per_farad_millisecond)');
LEGEND_CONSTANTS(:,19) = strpad('P_K in component L_type_Ca_channel (litre_per_farad_millisecond)');
LEGEND_ALGEBRAIC(:,67) = strpad('Cai in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('Cao in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('Ko in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,6) = strpad('Ki in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,7) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,69) = strpad('f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_ms)');
LEGEND_ALGEBRAIC(:,39) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_ms)');
LEGEND_ALGEBRAIC(:,18) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('tau_d in component L_type_Ca_channel_d_gate (ms)');
LEGEND_ALGEBRAIC(:,5) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,30) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_ms)');
LEGEND_ALGEBRAIC(:,35) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_ms)');
LEGEND_ALGEBRAIC(:,6) = strpad('f_infinity in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_f in component L_type_Ca_channel_f_gate (ms)');
LEGEND_CONSTANTS(:,22) = strpad('Km_Ca in component L_type_Ca_channel_f_Ca_gate (millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('g_CaT in component T_type_Ca_channel (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,79) = strpad('E_Ca in component calcium_background_current (millivolt)');
LEGEND_STATES(:,9) = strpad('b in component T_type_Ca_channel_b_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('g in component T_type_Ca_channel_g_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('b_inf in component T_type_Ca_channel_b_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_b in component T_type_Ca_channel_b_gate (ms)');
LEGEND_ALGEBRAIC(:,8) = strpad('g_inf in component T_type_Ca_channel_g_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_g in component T_type_Ca_channel_g_gate (ms)');
LEGEND_CONSTANTS(:,67) = strpad('g_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,24) = strpad('G_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,40) = strpad('Rect in component rapid_delayed_rectifier_potassium_current (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('E_K in component time_independent_potassium_current (millivolt)');
LEGEND_STATES(:,11) = strpad('xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('xr_infinity in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('tau_xr in component rapid_delayed_rectifier_potassium_current_xr_gate (ms)');
LEGEND_ALGEBRAIC(:,76) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,25) = strpad('G_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,41) = strpad('E_Ks in component slow_delayed_rectifier_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,26) = strpad('PNaK in component slow_delayed_rectifier_potassium_current (dimensionless)');
LEGEND_STATES(:,12) = strpad('xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
LEGEND_STATES(:,13) = strpad('xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('xs1_infinity in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('tau_xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (ms)');
LEGEND_ALGEBRAIC(:,11) = strpad('xs2_infinity in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('tau_xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (ms)');
LEGEND_CONSTANTS(:,68) = strpad('g_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,27) = strpad('i_K_ATP_on in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('nATP in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('nicholsarea in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('ATPi in component ATP_sensitive_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('hATP in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('kATP in component ATP_sensitive_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,75) = strpad('pATP in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,77) = strpad('GKbaraATP in component ATP_sensitive_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,69) = strpad('g_to in component transient_outward_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,42) = strpad('rvdv in component transient_outward_current (dimensionless)');
LEGEND_STATES(:,14) = strpad('zdv in component transient_outward_current_zdv_gate (dimensionless)');
LEGEND_STATES(:,15) = strpad('ydv in component transient_outward_current_ydv_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('alpha_zdv in component transient_outward_current_zdv_gate (per_ms)');
LEGEND_ALGEBRAIC(:,25) = strpad('beta_zdv in component transient_outward_current_zdv_gate (per_ms)');
LEGEND_ALGEBRAIC(:,31) = strpad('tau_zdv in component transient_outward_current_zdv_gate (ms)');
LEGEND_ALGEBRAIC(:,36) = strpad('zdv_ss in component transient_outward_current_zdv_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_ydv in component transient_outward_current_ydv_gate (per_ms)');
LEGEND_ALGEBRAIC(:,26) = strpad('beta_ydv in component transient_outward_current_ydv_gate (per_ms)');
LEGEND_ALGEBRAIC(:,32) = strpad('tau_ydv in component transient_outward_current_ydv_gate (ms)');
LEGEND_ALGEBRAIC(:,37) = strpad('ydv_ss in component transient_outward_current_ydv_gate (dimensionless)');
LEGEND_CONSTANTS(:,70) = strpad('g_K1 in component time_independent_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,33) = strpad('G_K1 in component time_independent_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,49) = strpad('K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('alpha_K1 in component time_independent_potassium_current_K1_gate (per_ms)');
LEGEND_ALGEBRAIC(:,48) = strpad('beta_K1 in component time_independent_potassium_current_K1_gate (per_ms)');
LEGEND_CONSTANTS(:,34) = strpad('g_Kp in component plateau_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,51) = strpad('Kp in component plateau_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,35) = strpad('g_K_Na in component sodium_activated_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,36) = strpad('nKNa in component sodium_activated_potassium_current (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('pona in component sodium_activated_potassium_current (dimensionless)');
LEGEND_ALGEBRAIC(:,54) = strpad('pov in component sodium_activated_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('kdKNa in component sodium_activated_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K_mpCa in component sarcolemmal_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('I_pCa in component sarcolemmal_calcium_pump (microA_per_microF)');
LEGEND_CONSTANTS(:,40) = strpad('g_Nab in component sodium_background_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,41) = strpad('g_Cab in component calcium_background_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,42) = strpad('I_NaK in component sodium_potassium_pump (microA_per_microF)');
LEGEND_ALGEBRAIC(:,57) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('K_mNai in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('K_mKo in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,71) = strpad('sigma in component sodium_potassium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,82) = strpad('i_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,83) = strpad('i_ns_K in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_CONSTANTS(:,72) = strpad('P_ns_Ca in component non_specific_calcium_activated_current (litre_per_farad_millisecond)');
LEGEND_ALGEBRAIC(:,59) = strpad('I_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,60) = strpad('I_ns_K in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_CONSTANTS(:,45) = strpad('K_m_ns_Ca in component non_specific_calcium_activated_current (millimolar)');
LEGEND_CONSTANTS(:,46) = strpad('c1 in component Na_Ca_exchanger (microA_per_microF)');
LEGEND_CONSTANTS(:,47) = strpad('c2 in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
LEGEND_STATES(:,16) = strpad('i_rel in component CICR_current (millimolar_per_ms)');
LEGEND_ALGEBRAIC(:,87) = strpad('i_up in component calcium_dynamics (millimolar_per_ms)');
LEGEND_ALGEBRAIC(:,88) = strpad('i_leak in component calcium_dynamics (millimolar_per_ms)');
LEGEND_ALGEBRAIC(:,89) = strpad('i_tr in component calcium_dynamics (millimolar_per_ms)');
LEGEND_CONSTANTS(:,49) = strpad('tau_tr in component calcium_dynamics (ms)');
LEGEND_CONSTANTS(:,50) = strpad('CSQN_max in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('K_mCSQN in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('K_mup in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,73) = strpad('K_leak in component calcium_dynamics (per_ms)');
LEGEND_CONSTANTS(:,53) = strpad('I_up in component calcium_dynamics (millimolar_per_ms)');
LEGEND_CONSTANTS(:,54) = strpad('Ca_NSR_max in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,17) = strpad('CaT in component calcium_dynamics (millimolar)');
LEGEND_ALGEBRAIC(:,63) = strpad('Ca_JSR in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,18) = strpad('JSR in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,19) = strpad('NSR in component calcium_dynamics (millimolar)');
LEGEND_ALGEBRAIC(:,61) = strpad('bjsr in component calcium_dynamics (millimolar)');
LEGEND_ALGEBRAIC(:,62) = strpad('cjsr in component calcium_dynamics (millimolar2)');
LEGEND_ALGEBRAIC(:,64) = strpad('bmyo in component calcium_dynamics (millimolar)');
LEGEND_ALGEBRAIC(:,65) = strpad('cmyo in component calcium_dynamics (millimolar2)');
LEGEND_ALGEBRAIC(:,66) = strpad('dmyo in component calcium_dynamics (millimolar3)');
LEGEND_CONSTANTS(:,76) = strpad('V_myo in component geometry (micro_litre)');
LEGEND_CONSTANTS(:,55) = strpad('A_cap in component geometry (cm2)');
LEGEND_CONSTANTS(:,78) = strpad('V_JSR in component geometry (micro_litre)');
LEGEND_CONSTANTS(:,79) = strpad('V_NSR in component geometry (micro_litre)');
LEGEND_CONSTANTS(:,56) = strpad('K_mTRPN in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,57) = strpad('K_mCMDN in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,58) = strpad('TRPN_max in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,59) = strpad('CMDN_max in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,60) = strpad('kappa in component CICR_current (mM_per_millivolt_ms)');
LEGEND_CONSTANTS(:,61) = strpad('tau in component CICR_current (ms)');
LEGEND_CONSTANTS(:,62) = strpad('K_relss in component CICR_current (millimolar)');
LEGEND_CONSTANTS(:,63) = strpad('qn in component CICR_current (dimensionless)');
LEGEND_CONSTANTS(:,66) = strpad('alpha_rel in component CICR_current (millimolar_per_mV)');
LEGEND_ALGEBRAIC(:,74) = strpad('tau_rel in component CICR_current (ms)');
LEGEND_ALGEBRAIC(:,72) = strpad('I_relss in component CICR_current (millimolar_per_ms)');
LEGEND_CONSTANTS(:,64) = strpad('preplength in component geometry (mm)');
LEGEND_CONSTANTS(:,65) = strpad('radius in component geometry (mm)');
LEGEND_CONSTANTS(:,74) = strpad('volume in component geometry (micro_litre)');
LEGEND_RATES(:,1) = strpad('d/dt V in component cell (millivolt)');
LEGEND_RATES(:,3) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt j in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt b in component T_type_Ca_channel_b_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt g in component T_type_Ca_channel_g_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt zdv in component transient_outward_current_zdv_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt ydv in component transient_outward_current_ydv_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt JSR in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,19) = strpad('d/dt NSR in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,17) = strpad('d/dt CaT in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt i_rel in component CICR_current (millimolar_per_ms)');
LEGEND_RATES(:,2) = strpad('d/dt Nai in component ionic_concentrations (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt Ki in component ionic_concentrations (millimolar)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = -85.126196430406;
CONSTANTS(:,1) = 8314;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485;
CONSTANTS(:,4) = 10;
CONSTANTS(:,5) = 9e6;
CONSTANTS(:,6) = 300;
CONSTANTS(:,7) = 0.5;
CONSTANTS(:,8) = -80;
CONSTANTS(:,9) = 16;
STATES(:,2) = 10;
CONSTANTS(:,10) = 140;
STATES(:,3) = 0.001513296212;
STATES(:,4) = 0.985318710339;
STATES(:,5) = 0.990731711845;
CONSTANTS(:,11) = 0.75;
CONSTANTS(:,12) = 0.75;
CONSTANTS(:,13) = 0.75;
CONSTANTS(:,14) = 0.75;
CONSTANTS(:,15) = 1;
CONSTANTS(:,16) = 0.341;
CONSTANTS(:,17) = 0.00054;
CONSTANTS(:,18) = 6.75e-7;
CONSTANTS(:,19) = 1.93e-7;
CONSTANTS(:,20) = 1.8;
CONSTANTS(:,21) = 5.4;
STATES(:,6) = 144.473230653346;
STATES(:,7) = 0.000005906564;
STATES(:,8) = 0.999390880784;
CONSTANTS(:,22) = 0.0006;
CONSTANTS(:,23) = 0.05;
STATES(:,9) = 0.001378275288;
STATES(:,10) = 0.988597502434;
CONSTANTS(:,24) = 0.02614;
STATES(:,11) = 0.000207067204;
CONSTANTS(:,25) = 0.433;
CONSTANTS(:,26) = 0.01833;
STATES(:,12) = 0.007136102382;
STATES(:,13) = 0.039518996812;
CONSTANTS(:,27) = 1;
CONSTANTS(:,28) = 0.24;
CONSTANTS(:,29) = 5e-5;
CONSTANTS(:,30) = 3;
CONSTANTS(:,31) = 2;
CONSTANTS(:,32) = 0.00025;
STATES(:,14) = 0.014537782303;
STATES(:,15) = 0.99993940527;
CONSTANTS(:,33) = 0.75;
CONSTANTS(:,34) = 0.00552;
CONSTANTS(:,35) = 0.12848;
CONSTANTS(:,36) = 2.8;
CONSTANTS(:,37) = 66;
CONSTANTS(:,38) = 0.0005;
CONSTANTS(:,39) = 1.15;
CONSTANTS(:,40) = 0.004;
CONSTANTS(:,41) = 0.003016;
CONSTANTS(:,42) = 2.25;
CONSTANTS(:,43) = 10;
CONSTANTS(:,44) = 1.5;
CONSTANTS(:,45) = 0.0012;
CONSTANTS(:,46) = 0.00025;
CONSTANTS(:,47) = 0.0001;
CONSTANTS(:,48) = 0.15;
STATES(:,16) = -0.000000000000000000474565;
CONSTANTS(:,49) = 120;
CONSTANTS(:,50) = 10;
CONSTANTS(:,51) = 0.8;
CONSTANTS(:,52) = 0.00092;
CONSTANTS(:,53) = 0.00875;
CONSTANTS(:,54) = 15;
STATES(:,17) = 0.01544711;
STATES(:,18) = 8.290468;
STATES(:,19) = 1.516756041281;
CONSTANTS(:,55) = 1.534e-4;
CONSTANTS(:,56) = 0.0005;
CONSTANTS(:,57) = 0.00238;
CONSTANTS(:,58) = 0.07;
CONSTANTS(:,59) = 0.05;
CONSTANTS(:,60) = 0.125;
CONSTANTS(:,61) = 4.75;
CONSTANTS(:,62) = 1;
CONSTANTS(:,63) = 9;
CONSTANTS(:,64) = 0.1;
CONSTANTS(:,65) = 0.011;
CONSTANTS(:,66) = CONSTANTS(:,60).*CONSTANTS(:,61);
CONSTANTS(:,67) = CONSTANTS(:,24).*power((CONSTANTS(:,21)./5.40000), 1.0 ./ 2);
CONSTANTS(:,68) = ( CONSTANTS(:,27).*0.000193000)./CONSTANTS(:,29);
CONSTANTS(:,69) = 0.00000.*0.500000;
CONSTANTS(:,70) = CONSTANTS(:,33).*power((CONSTANTS(:,21)./5.40000), 1.0 ./ 2);
CONSTANTS(:,71) = (1.00000./7.00000).*(exp(CONSTANTS(:,10)./67.3000) - 1.00000);
CONSTANTS(:,72) = 1.75000e-07;
CONSTANTS(:,73) = CONSTANTS(:,53)./CONSTANTS(:,54);
CONSTANTS(:,74) = pi.*CONSTANTS(:,64).*power(CONSTANTS(:,65), 2.00000);
CONSTANTS(:,75) = 1.00000./(1.00000+power(CONSTANTS(:,30)./CONSTANTS(:,32), CONSTANTS(:,31)));
CONSTANTS(:,76) = 0.680000.*CONSTANTS(:,74);
CONSTANTS(:,77) = CONSTANTS(:,68).*CONSTANTS(:,75).*power(CONSTANTS(:,21)./4.00000, CONSTANTS(:,28));
CONSTANTS(:,78) = 0.00480000.*CONSTANTS(:,74);
CONSTANTS(:,79) = 0.0552000.*CONSTANTS(:,74);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,2) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,15) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
RATES(:,4) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,4)) - ALGEBRAIC(:,15).*STATES(:,4);
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, ( - ( 127140..*exp( 0.244400.*STATES(:,1))+ 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
ALGEBRAIC(:,16) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))));
RATES(:,5) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,16).*STATES(:,5);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
ALGEBRAIC(:,20) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
RATES(:,9) = (ALGEBRAIC(:,7) - STATES(:,9))./ALGEBRAIC(:,20);
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
ALGEBRAIC(:,21) = piecewise({STATES(:,1)<=0.00000, - 0.875000.*STATES(:,1)+12.0000 }, 12.0000);
RATES(:,10) = (ALGEBRAIC(:,8) - STATES(:,10))./ALGEBRAIC(:,21);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000));
ALGEBRAIC(:,22) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
RATES(:,11) = (ALGEBRAIC(:,9) - STATES(:,11))./ALGEBRAIC(:,22);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,23) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
RATES(:,12) = (ALGEBRAIC(:,10) - STATES(:,12))./ALGEBRAIC(:,23);
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,24) = 4.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
RATES(:,13) = (ALGEBRAIC(:,11) - STATES(:,13))./ALGEBRAIC(:,24);
ALGEBRAIC(:,1) = STATES(:,1)+47.1300;
ALGEBRAIC(:,14) = ( 0.320000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1)));
ALGEBRAIC(:,27) = 0.0800000.*exp( - STATES(:,1)./11.0000);
RATES(:,3) = ALGEBRAIC(:,14).*(1.00000 - STATES(:,3)) - ALGEBRAIC(:,27).*STATES(:,3);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
ALGEBRAIC(:,19) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
ALGEBRAIC(:,30) = ALGEBRAIC(:,6)./ALGEBRAIC(:,19);
ALGEBRAIC(:,35) = (1.00000 - ALGEBRAIC(:,6))./ALGEBRAIC(:,19);
RATES(:,8) = ALGEBRAIC(:,30).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,35).*STATES(:,8);
ALGEBRAIC(:,12) = ( 10.0000.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000));
ALGEBRAIC(:,25) = ( 10.0000.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000));
ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
ALGEBRAIC(:,36) = ALGEBRAIC(:,12)./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
RATES(:,14) = (ALGEBRAIC(:,36) - STATES(:,14))./ALGEBRAIC(:,31);
ALGEBRAIC(:,13) = 0.0150000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000));
ALGEBRAIC(:,26) = ( 0.100000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000));
ALGEBRAIC(:,32) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
ALGEBRAIC(:,37) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
RATES(:,15) = (ALGEBRAIC(:,37) - STATES(:,15))./ALGEBRAIC(:,32);
ALGEBRAIC(:,5) = STATES(:,1)+10.0000;
ALGEBRAIC(:,18) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,5)./6.24000));
ALGEBRAIC(:,29) = ( 1.00000.*ALGEBRAIC(:,18).*(1.00000 - exp( - ALGEBRAIC(:,5)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,5));
ALGEBRAIC(:,34) = ALGEBRAIC(:,18)./ALGEBRAIC(:,29);
ALGEBRAIC(:,39) = (1.00000 - ALGEBRAIC(:,18))./ALGEBRAIC(:,29);
RATES(:,7) = ALGEBRAIC(:,34).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,39).*STATES(:,7);
ALGEBRAIC(:,61) = CONSTANTS(:,50)+CONSTANTS(:,51)+ - STATES(:,18);
ALGEBRAIC(:,62) = CONSTANTS(:,51).*STATES(:,18);
ALGEBRAIC(:,63) = (power((power(ALGEBRAIC(:,61), 2.00000)+ 4.00000.*ALGEBRAIC(:,62)), 1.0 ./ 2) - ALGEBRAIC(:,61))./2.00000;
ALGEBRAIC(:,74) = CONSTANTS(:,61)./(1.00000+0.0123000./ALGEBRAIC(:,63));
ALGEBRAIC(:,64) = CONSTANTS(:,59)+CONSTANTS(:,58)+CONSTANTS(:,57)+CONSTANTS(:,56)+ - STATES(:,17);
ALGEBRAIC(:,65) = CONSTANTS(:,57).*CONSTANTS(:,56)+ CONSTANTS(:,58).*CONSTANTS(:,57)+ CONSTANTS(:,59).*CONSTANTS(:,56)+ - STATES(:,17).*(CONSTANTS(:,56)+CONSTANTS(:,57));
ALGEBRAIC(:,66) = - CONSTANTS(:,56).*CONSTANTS(:,57).*STATES(:,17);
ALGEBRAIC(:,67) = (2.00000./3.00000).*power((power(ALGEBRAIC(:,64), 2.00000) - 3.00000.*ALGEBRAIC(:,65)), 1.0 ./ 2).*cos(acos(( 9.00000.*ALGEBRAIC(:,64).*ALGEBRAIC(:,65) - ( 2.00000.*power(ALGEBRAIC(:,64), 3.00000)+ 27.0000.*ALGEBRAIC(:,66)))./( 2.00000.*power(power(power(ALGEBRAIC(:,64), 2.00000) - 3.00000.*ALGEBRAIC(:,65), 3.00000), 1.0 ./ 2)))./3.00000) - ALGEBRAIC(:,64)./3.00000;
ALGEBRAIC(:,68) = ( (( CONSTANTS(:,17).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,15).*ALGEBRAIC(:,67).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,16).*CONSTANTS(:,20)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,69) = 1.00000./(1.00000+ALGEBRAIC(:,67)./CONSTANTS(:,22));
ALGEBRAIC(:,70) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,68);
ALGEBRAIC(:,72) = ( ALGEBRAIC(:,70).*CONSTANTS(:,66))./(1.00000+power(CONSTANTS(:,62)./ALGEBRAIC(:,63), CONSTANTS(:,63)));
RATES(:,16) = - (ALGEBRAIC(:,72)+STATES(:,16))./ALGEBRAIC(:,74);
ALGEBRAIC(:,4) = piecewise({VOI>=CONSTANTS(:,4)&VOI<=CONSTANTS(:,5)&(VOI - CONSTANTS(:,4)) - floor((VOI - CONSTANTS(:,4))./CONSTANTS(:,6)).*CONSTANTS(:,6)<=CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000);
ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
ALGEBRAIC(:,43) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,21)./STATES(:,6));
ALGEBRAIC(:,44) = CONSTANTS(:,67).*STATES(:,11).*ALGEBRAIC(:,40).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,76) = CONSTANTS(:,25).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,67), 1.40000)));
ALGEBRAIC(:,41) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,21)+ CONSTANTS(:,26).*CONSTANTS(:,10))./(STATES(:,6)+ CONSTANTS(:,26).*STATES(:,2)));
ALGEBRAIC(:,77) = ALGEBRAIC(:,76).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,53) = 0.850000./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), CONSTANTS(:,36)));
ALGEBRAIC(:,54) = 0.800000 - 0.650000./(1.00000+exp((STATES(:,1)+125.000)./15.0000));
ALGEBRAIC(:,55) = CONSTANTS(:,35).*ALGEBRAIC(:,53).*ALGEBRAIC(:,54).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,47) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 59.2150)));
ALGEBRAIC(:,48) = ( 1.00000.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,43))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 594.310))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,43))+4.75300)));
ALGEBRAIC(:,49) = ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+ALGEBRAIC(:,48));
ALGEBRAIC(:,50) = CONSTANTS(:,70).*ALGEBRAIC(:,49).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,45) = CONSTANTS(:,77).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,42) = exp(STATES(:,1)./100.000);
ALGEBRAIC(:,46) = CONSTANTS(:,69).*power(STATES(:,14), 3.00000).*STATES(:,15).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,52) = CONSTANTS(:,34).*ALGEBRAIC(:,51).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,57) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,71).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,58) = (( CONSTANTS(:,42).*ALGEBRAIC(:,57))./(1.00000+power(CONSTANTS(:,43)./STATES(:,2), 2.00000)))./(1.00000+CONSTANTS(:,44)./CONSTANTS(:,21));
ALGEBRAIC(:,38) = ( (( CONSTANTS(:,19).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,73) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,38);
ALGEBRAIC(:,60) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,83) = ( ALGEBRAIC(:,60).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
RATES(:,6) = ( - 1.00000.*(ALGEBRAIC(:,4)+ALGEBRAIC(:,73)+ALGEBRAIC(:,44)+ALGEBRAIC(:,77)+ALGEBRAIC(:,50)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,52)+ALGEBRAIC(:,55)+ALGEBRAIC(:,83)+ - ALGEBRAIC(:,58).*2.00000).*CONSTANTS(:,55))./( CONSTANTS(:,76).*CONSTANTS(:,3));
ALGEBRAIC(:,17) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,28) = CONSTANTS(:,9).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,85) = ( CONSTANTS(:,46).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20) - power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)))./(1.00000+ CONSTANTS(:,47).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20)+ power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)));
ALGEBRAIC(:,56) = CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,33) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,71) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,33);
ALGEBRAIC(:,59) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,82) = ( ALGEBRAIC(:,59).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
RATES(:,2) = ( - 1.00000.*(ALGEBRAIC(:,28)+ALGEBRAIC(:,71)+ALGEBRAIC(:,56)+ALGEBRAIC(:,82)+ ALGEBRAIC(:,85).*3.00000+ ALGEBRAIC(:,58).*3.00000).*CONSTANTS(:,55))./( CONSTANTS(:,76).*CONSTANTS(:,3));
ALGEBRAIC(:,75) = ALGEBRAIC(:,70)+ALGEBRAIC(:,73)+ALGEBRAIC(:,71);
ALGEBRAIC(:,79) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,20)./ALGEBRAIC(:,67));
ALGEBRAIC(:,80) = CONSTANTS(:,23).*STATES(:,9).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,79));
ALGEBRAIC(:,78) = ( CONSTANTS(:,39).*ALGEBRAIC(:,67))./(CONSTANTS(:,38)+ALGEBRAIC(:,67));
ALGEBRAIC(:,81) = CONSTANTS(:,41).*(STATES(:,1) - ALGEBRAIC(:,79));
ALGEBRAIC(:,84) = ALGEBRAIC(:,82)+ALGEBRAIC(:,83);
ALGEBRAIC(:,86) = - (ALGEBRAIC(:,28)+ALGEBRAIC(:,75)+ALGEBRAIC(:,80)+ALGEBRAIC(:,44)+ALGEBRAIC(:,77)+ALGEBRAIC(:,55)+ALGEBRAIC(:,50)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,52)+ALGEBRAIC(:,85)+ALGEBRAIC(:,78)+ALGEBRAIC(:,56)+ALGEBRAIC(:,81)+ALGEBRAIC(:,58)+ALGEBRAIC(:,84)+ALGEBRAIC(:,4));
RATES(:,1) = ALGEBRAIC(:,86);
ALGEBRAIC(:,87) = ( CONSTANTS(:,53).*ALGEBRAIC(:,67))./(ALGEBRAIC(:,67)+CONSTANTS(:,52));
ALGEBRAIC(:,88) = CONSTANTS(:,73).*STATES(:,19);
RATES(:,17) = ( - 1.00000.*CONSTANTS(:,55).*(ALGEBRAIC(:,70)+ALGEBRAIC(:,80)+ALGEBRAIC(:,78)+ALGEBRAIC(:,81)+ - 2.00000.*ALGEBRAIC(:,85)))./( 2.00000.*CONSTANTS(:,76).*CONSTANTS(:,3))+( STATES(:,16).*CONSTANTS(:,78))./CONSTANTS(:,76)+( (ALGEBRAIC(:,88) - ALGEBRAIC(:,87)).*CONSTANTS(:,79))./CONSTANTS(:,76);
ALGEBRAIC(:,89) = (STATES(:,19) - ALGEBRAIC(:,63))./CONSTANTS(:,49);
RATES(:,18) = ALGEBRAIC(:,89) - STATES(:,16);
RATES(:,19) = (( - ALGEBRAIC(:,89).*CONSTANTS(:,78))./CONSTANTS(:,79) - ALGEBRAIC(:,88))+ALGEBRAIC(:,87);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,2) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,15) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, ( - ( 127140..*exp( 0.244400.*STATES(:,1))+ 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
ALGEBRAIC(:,16) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))));
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
ALGEBRAIC(:,20) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
ALGEBRAIC(:,21) = piecewise({STATES(:,1)<=0.00000, - 0.875000.*STATES(:,1)+12.0000 }, 12.0000);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000));
ALGEBRAIC(:,22) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,23) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,24) = 4.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
ALGEBRAIC(:,1) = STATES(:,1)+47.1300;
ALGEBRAIC(:,14) = ( 0.320000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1)));
ALGEBRAIC(:,27) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
ALGEBRAIC(:,19) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
ALGEBRAIC(:,30) = ALGEBRAIC(:,6)./ALGEBRAIC(:,19);
ALGEBRAIC(:,35) = (1.00000 - ALGEBRAIC(:,6))./ALGEBRAIC(:,19);
ALGEBRAIC(:,12) = ( 10.0000.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000));
ALGEBRAIC(:,25) = ( 10.0000.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000));
ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
ALGEBRAIC(:,36) = ALGEBRAIC(:,12)./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25));
ALGEBRAIC(:,13) = 0.0150000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000));
ALGEBRAIC(:,26) = ( 0.100000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000));
ALGEBRAIC(:,32) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
ALGEBRAIC(:,37) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,26));
ALGEBRAIC(:,5) = STATES(:,1)+10.0000;
ALGEBRAIC(:,18) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,5)./6.24000));
ALGEBRAIC(:,29) = ( 1.00000.*ALGEBRAIC(:,18).*(1.00000 - exp( - ALGEBRAIC(:,5)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,5));
ALGEBRAIC(:,34) = ALGEBRAIC(:,18)./ALGEBRAIC(:,29);
ALGEBRAIC(:,39) = (1.00000 - ALGEBRAIC(:,18))./ALGEBRAIC(:,29);
ALGEBRAIC(:,61) = CONSTANTS(:,50)+CONSTANTS(:,51)+ - STATES(:,18);
ALGEBRAIC(:,62) = CONSTANTS(:,51).*STATES(:,18);
ALGEBRAIC(:,63) = (power((power(ALGEBRAIC(:,61), 2.00000)+ 4.00000.*ALGEBRAIC(:,62)), 1.0 ./ 2) - ALGEBRAIC(:,61))./2.00000;
ALGEBRAIC(:,74) = CONSTANTS(:,61)./(1.00000+0.0123000./ALGEBRAIC(:,63));
ALGEBRAIC(:,64) = CONSTANTS(:,59)+CONSTANTS(:,58)+CONSTANTS(:,57)+CONSTANTS(:,56)+ - STATES(:,17);
ALGEBRAIC(:,65) = CONSTANTS(:,57).*CONSTANTS(:,56)+ CONSTANTS(:,58).*CONSTANTS(:,57)+ CONSTANTS(:,59).*CONSTANTS(:,56)+ - STATES(:,17).*(CONSTANTS(:,56)+CONSTANTS(:,57));
ALGEBRAIC(:,66) = - CONSTANTS(:,56).*CONSTANTS(:,57).*STATES(:,17);
ALGEBRAIC(:,67) = (2.00000./3.00000).*power((power(ALGEBRAIC(:,64), 2.00000) - 3.00000.*ALGEBRAIC(:,65)), 1.0 ./ 2).*cos(acos(( 9.00000.*ALGEBRAIC(:,64).*ALGEBRAIC(:,65) - ( 2.00000.*power(ALGEBRAIC(:,64), 3.00000)+ 27.0000.*ALGEBRAIC(:,66)))./( 2.00000.*power(power(power(ALGEBRAIC(:,64), 2.00000) - 3.00000.*ALGEBRAIC(:,65), 3.00000), 1.0 ./ 2)))./3.00000) - ALGEBRAIC(:,64)./3.00000;
ALGEBRAIC(:,68) = ( (( CONSTANTS(:,17).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,15).*ALGEBRAIC(:,67).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,16).*CONSTANTS(:,20)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,69) = 1.00000./(1.00000+ALGEBRAIC(:,67)./CONSTANTS(:,22));
ALGEBRAIC(:,70) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,68);
ALGEBRAIC(:,72) = ( ALGEBRAIC(:,70).*CONSTANTS(:,66))./(1.00000+power(CONSTANTS(:,62)./ALGEBRAIC(:,63), CONSTANTS(:,63)));
ALGEBRAIC(:,4) = piecewise({VOI>=CONSTANTS(:,4)&VOI<=CONSTANTS(:,5)&(VOI - CONSTANTS(:,4)) - floor((VOI - CONSTANTS(:,4))./CONSTANTS(:,6)).*CONSTANTS(:,6)<=CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000);
ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
ALGEBRAIC(:,43) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,21)./STATES(:,6));
ALGEBRAIC(:,44) = CONSTANTS(:,67).*STATES(:,11).*ALGEBRAIC(:,40).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,76) = CONSTANTS(:,25).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,67), 1.40000)));
ALGEBRAIC(:,41) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,21)+ CONSTANTS(:,26).*CONSTANTS(:,10))./(STATES(:,6)+ CONSTANTS(:,26).*STATES(:,2)));
ALGEBRAIC(:,77) = ALGEBRAIC(:,76).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,41));
ALGEBRAIC(:,53) = 0.850000./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), CONSTANTS(:,36)));
ALGEBRAIC(:,54) = 0.800000 - 0.650000./(1.00000+exp((STATES(:,1)+125.000)./15.0000));
ALGEBRAIC(:,55) = CONSTANTS(:,35).*ALGEBRAIC(:,53).*ALGEBRAIC(:,54).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,47) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 59.2150)));
ALGEBRAIC(:,48) = ( 1.00000.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,43))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,43)) - 594.310))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,43))+4.75300)));
ALGEBRAIC(:,49) = ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+ALGEBRAIC(:,48));
ALGEBRAIC(:,50) = CONSTANTS(:,70).*ALGEBRAIC(:,49).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,45) = CONSTANTS(:,77).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,42) = exp(STATES(:,1)./100.000);
ALGEBRAIC(:,46) = CONSTANTS(:,69).*power(STATES(:,14), 3.00000).*STATES(:,15).*ALGEBRAIC(:,42).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,51) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,52) = CONSTANTS(:,34).*ALGEBRAIC(:,51).*(STATES(:,1) - ALGEBRAIC(:,43));
ALGEBRAIC(:,57) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,71).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,58) = (( CONSTANTS(:,42).*ALGEBRAIC(:,57))./(1.00000+power(CONSTANTS(:,43)./STATES(:,2), 2.00000)))./(1.00000+CONSTANTS(:,44)./CONSTANTS(:,21));
ALGEBRAIC(:,38) = ( (( CONSTANTS(:,19).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,73) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,38);
ALGEBRAIC(:,60) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,13).*STATES(:,6).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,14).*CONSTANTS(:,21)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,83) = ( ALGEBRAIC(:,60).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
ALGEBRAIC(:,17) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,28) = CONSTANTS(:,9).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,85) = ( CONSTANTS(:,46).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20) - power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)))./(1.00000+ CONSTANTS(:,47).*exp(( (CONSTANTS(:,48) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,20)+ power(CONSTANTS(:,10), 3.00000).*ALGEBRAIC(:,67)));
ALGEBRAIC(:,56) = CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,33) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,71) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,69).*ALGEBRAIC(:,33);
ALGEBRAIC(:,59) = ( (( CONSTANTS(:,72).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,11).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,82) = ( ALGEBRAIC(:,59).*1.00000)./(1.00000+power(CONSTANTS(:,45)./ALGEBRAIC(:,67), 3.00000));
ALGEBRAIC(:,75) = ALGEBRAIC(:,70)+ALGEBRAIC(:,73)+ALGEBRAIC(:,71);
ALGEBRAIC(:,79) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,20)./ALGEBRAIC(:,67));
ALGEBRAIC(:,80) = CONSTANTS(:,23).*STATES(:,9).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,79));
ALGEBRAIC(:,78) = ( CONSTANTS(:,39).*ALGEBRAIC(:,67))./(CONSTANTS(:,38)+ALGEBRAIC(:,67));
ALGEBRAIC(:,81) = CONSTANTS(:,41).*(STATES(:,1) - ALGEBRAIC(:,79));
ALGEBRAIC(:,84) = ALGEBRAIC(:,82)+ALGEBRAIC(:,83);
ALGEBRAIC(:,86) = - (ALGEBRAIC(:,28)+ALGEBRAIC(:,75)+ALGEBRAIC(:,80)+ALGEBRAIC(:,44)+ALGEBRAIC(:,77)+ALGEBRAIC(:,55)+ALGEBRAIC(:,50)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,52)+ALGEBRAIC(:,85)+ALGEBRAIC(:,78)+ALGEBRAIC(:,56)+ALGEBRAIC(:,81)+ALGEBRAIC(:,58)+ALGEBRAIC(:,84)+ALGEBRAIC(:,4));
ALGEBRAIC(:,87) = ( CONSTANTS(:,53).*ALGEBRAIC(:,67))./(ALGEBRAIC(:,67)+CONSTANTS(:,52));
ALGEBRAIC(:,88) = CONSTANTS(:,73).*STATES(:,19);
ALGEBRAIC(:,89) = (STATES(:,19) - ALGEBRAIC(:,63))./CONSTANTS(:,49);
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end