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 =92;
end
% There are a total of 32 entries in each of the rate and state variable arrays.
% There are a total of 80 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_STATES(:,1) = strpad('V in component membrane (millivolt)');
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('Cm in component membrane (microF)');
LEGEND_ALGEBRAIC(:,12) = strpad('I_st in component membrane (microA_per_microF)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_Na in component fast_sodium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,54) = strpad('i_Ca_L in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,77) = strpad('i_Ca_T in component T_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,57) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,60) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,70) = strpad('i_K_Na in component sodium_activated_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,71) = strpad('i_K_ATP in component ATP_sensitive_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,73) = strpad('i_to in component transient_outward_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,86) = strpad('i_NaCa in component Na_Ca_exchanger (microA_per_microF)');
LEGEND_ALGEBRAIC(:,65) = strpad('i_K1 in component time_independent_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,67) = strpad('i_Kp in component plateau_potassium_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,74) = strpad('i_p_Ca in component sarcolemmal_calcium_pump (microA_per_microF)');
LEGEND_ALGEBRAIC(:,75) = strpad('i_Na_b in component sodium_background_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,78) = strpad('i_Ca_b in component calcium_background_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,80) = strpad('i_NaK in component sodium_potassium_pump (microA_per_microF)');
LEGEND_ALGEBRAIC(:,85) = strpad('i_ns_Ca in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,87) = strpad('dVdt in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (second)');
LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (second)');
LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (microA_per_microF)');
LEGEND_ALGEBRAIC(:,24) = strpad('E_Na in component fast_sodium_current (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('g_Na in component fast_sodium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,11) = strpad('Nao in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,2) = strpad('Nai in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('P_O_Na in component Na_channel_states (dimensionless)');
LEGEND_STATES(:,4) = strpad('P_C1 in component Na_channel_states (dimensionless)');
LEGEND_STATES(:,5) = strpad('P_C2 in component Na_channel_states (dimensionless)');
LEGEND_STATES(:,6) = strpad('P_C3 in component Na_channel_states (dimensionless)');
LEGEND_STATES(:,7) = strpad('P_IF in component Na_channel_states (dimensionless)');
LEGEND_STATES(:,8) = strpad('P_IS in component Na_channel_states (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('alpha_11 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,32) = strpad('beta_11 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_12 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,39) = strpad('beta_12 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,25) = strpad('alpha_13 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,43) = strpad('beta_13 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,45) = strpad('alpha_2 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,51) = strpad('beta_2 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,47) = strpad('alpha_3 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,49) = strpad('beta_3 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,53) = strpad('alpha_4 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,55) = strpad('beta_4 in component Na_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_CaCa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_CaK in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_CaNa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_CONSTANTS(:,12) = strpad('gamma_Nai in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('gamma_Nao in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('gamma_Ki in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('gamma_Ko in component L_type_Ca_channel (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('I_CaCa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,44) = strpad('I_CaK in component L_type_Ca_channel (microA_per_microF)');
LEGEND_ALGEBRAIC(:,42) = strpad('I_CaNa in component L_type_Ca_channel (microA_per_microF)');
LEGEND_CONSTANTS(:,16) = strpad('P_Ca in component L_type_Ca_channel (cm_per_second)');
LEGEND_CONSTANTS(:,17) = strpad('P_Na in component L_type_Ca_channel (cm_per_second)');
LEGEND_CONSTANTS(:,18) = strpad('P_K in component L_type_Ca_channel (cm_per_second)');
LEGEND_CONSTANTS(:,19) = strpad('gamma_Cai in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('gamma_Cao in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,9) = strpad('Cai in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('Cao in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('Ko in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,10) = strpad('Ki in component ionic_concentrations (millimolar)');
LEGEND_STATES(:,11) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,12) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,40) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('tau_d in component L_type_Ca_channel_d_gate (second)');
LEGEND_ALGEBRAIC(:,2) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,27) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,34) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,3) = strpad('f_infinity in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('tau_f in component L_type_Ca_channel_f_gate (second)');
LEGEND_CONSTANTS(:,23) = strpad('Km_Ca in component L_type_Ca_channel_f_Ca_gate (millimolar)');
LEGEND_CONSTANTS(:,24) = strpad('g_CaT in component T_type_Ca_channel (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,76) = strpad('E_Ca in component calcium_background_current (millivolt)');
LEGEND_STATES(:,13) = strpad('b in component T_type_Ca_channel_b_gate (dimensionless)');
LEGEND_STATES(:,14) = strpad('g in component T_type_Ca_channel_g_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('b_inf in component T_type_Ca_channel_b_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('tau_b in component T_type_Ca_channel_b_gate (second)');
LEGEND_ALGEBRAIC(:,5) = strpad('g_inf in component T_type_Ca_channel_g_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('tau_g in component T_type_Ca_channel_g_gate (second)');
LEGEND_CONSTANTS(:,67) = strpad('g_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,56) = strpad('E_Kr in component rapid_delayed_rectifier_potassium_current (millivolt)');
LEGEND_STATES(:,15) = strpad('P_O in component Kr_channel_states (dimensionless)');
LEGEND_STATES(:,16) = strpad('P_C1 in component Kr_channel_states (dimensionless)');
LEGEND_STATES(:,17) = strpad('P_C2 in component Kr_channel_states (dimensionless)');
LEGEND_STATES(:,18) = strpad('P_C3 in component Kr_channel_states (dimensionless)');
LEGEND_STATES(:,19) = strpad('P_I in component Kr_channel_states (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('beta in component Kr_channel_states (per_second)');
LEGEND_CONSTANTS(:,25) = strpad('alpha_in in component Kr_channel_states (per_second)');
LEGEND_CONSTANTS(:,26) = strpad('beta_in in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,7) = strpad('alpha_alpha in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_beta in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,28) = strpad('alpha_i in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,35) = strpad('beta_i in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,41) = strpad('mu in component Kr_channel_states (per_second)');
LEGEND_ALGEBRAIC(:,59) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,58) = strpad('E_Ks in component slow_delayed_rectifier_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,27) = strpad('PNaK in component slow_delayed_rectifier_potassium_current (dimensionless)');
LEGEND_STATES(:,20) = strpad('xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
LEGEND_STATES(:,21) = strpad('xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('xs1_infinity in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (second)');
LEGEND_ALGEBRAIC(:,9) = strpad('xs2_infinity in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (second)');
LEGEND_ALGEBRAIC(:,61) = strpad('E_K in component time_independent_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,68) = strpad('g_K1 in component time_independent_potassium_current (milliS_per_cm2)');
LEGEND_ALGEBRAIC(:,64) = strpad('K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,62) = strpad('alpha_K1 in component time_independent_potassium_current_K1_gate (per_second)');
LEGEND_ALGEBRAIC(:,63) = strpad('beta_K1 in component time_independent_potassium_current_K1_gate (per_second)');
LEGEND_CONSTANTS(:,28) = strpad('g_Kp in component plateau_potassium_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,66) = strpad('Kp in component plateau_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,69) = strpad('g_K_Na in component sodium_activated_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,29) = strpad('nKNa in component sodium_activated_potassium_current (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('pona in component sodium_activated_potassium_current (dimensionless)');
LEGEND_ALGEBRAIC(:,69) = strpad('pov in component sodium_activated_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('kdKNa in component sodium_activated_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,70) = strpad('g_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,31) = strpad('i_K_ATP_on in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('nATP in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('nicholsarea in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('ATPi in component ATP_sensitive_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('hATP in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('kATP in component ATP_sensitive_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,76) = strpad('pATP in component ATP_sensitive_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,78) = strpad('GKbaraATP in component ATP_sensitive_potassium_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,71) = strpad('g_to in component transient_outward_current (milliS_per_microF)');
LEGEND_ALGEBRAIC(:,72) = strpad('rvdv in component transient_outward_current (dimensionless)');
LEGEND_STATES(:,22) = strpad('zdv in component transient_outward_current_zdv_gate (dimensionless)');
LEGEND_STATES(:,23) = strpad('ydv in component transient_outward_current_ydv_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('alpha_zdv in component transient_outward_current_zdv_gate (per_second)');
LEGEND_ALGEBRAIC(:,22) = strpad('beta_zdv in component transient_outward_current_zdv_gate (per_second)');
LEGEND_ALGEBRAIC(:,29) = strpad('tau_zdv in component transient_outward_current_zdv_gate (second)');
LEGEND_ALGEBRAIC(:,36) = strpad('zdv_ss in component transient_outward_current_zdv_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('alpha_ydv in component transient_outward_current_ydv_gate (per_second)');
LEGEND_ALGEBRAIC(:,23) = strpad('beta_ydv in component transient_outward_current_ydv_gate (per_second)');
LEGEND_ALGEBRAIC(:,30) = strpad('tau_ydv in component transient_outward_current_ydv_gate (second)');
LEGEND_ALGEBRAIC(:,37) = strpad('ydv_ss in component transient_outward_current_ydv_gate (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('K_mpCa in component sarcolemmal_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('I_pCa in component sarcolemmal_calcium_pump (microA_per_microF)');
LEGEND_CONSTANTS(:,39) = strpad('g_Nab in component sodium_background_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,40) = strpad('g_Cab in component calcium_background_current (milliS_per_microF)');
LEGEND_CONSTANTS(:,41) = strpad('I_NaK in component sodium_potassium_pump (microA_per_microF)');
LEGEND_ALGEBRAIC(:,79) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('K_mNai in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('K_mKo in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,72) = strpad('sigma in component sodium_potassium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,83) = strpad('i_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,84) = strpad('i_ns_K in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_CONSTANTS(:,73) = strpad('P_ns_Ca in component non_specific_calcium_activated_current (cm_per_second)');
LEGEND_ALGEBRAIC(:,81) = strpad('I_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_ALGEBRAIC(:,82) = strpad('I_ns_K in component non_specific_calcium_activated_current (microA_per_microF)');
LEGEND_CONSTANTS(:,44) = strpad('K_m_ns_Ca in component non_specific_calcium_activated_current (millimolar)');
LEGEND_CONSTANTS(:,45) = strpad('c1 in component Na_Ca_exchanger (microA_per_microF)');
LEGEND_CONSTANTS(:,46) = strpad('c2 in component Na_Ca_exchanger (millimolar)');
LEGEND_CONSTANTS(:,47) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
LEGEND_ALGEBRAIC(:,89) = strpad('i_rel in component calcium_dynamics (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,90) = strpad('i_up in component calcium_dynamics (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,91) = strpad('i_leak in component calcium_dynamics (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,92) = strpad('i_tr in component calcium_dynamics (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,88) = strpad('G_rel in component calcium_dynamics (per_second)');
LEGEND_CONSTANTS(:,48) = strpad('G_rel_max in component calcium_dynamics (per_second)');
LEGEND_CONSTANTS(:,49) = strpad('G_rel_overload in component calcium_dynamics (per_second)');
LEGEND_CONSTANTS(:,50) = strpad('tau_tr in component calcium_dynamics (second)');
LEGEND_CONSTANTS(:,51) = strpad('K_mrel in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,52) = strpad('delta_Ca_ith in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('CSQN_max in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,54) = strpad('K_mCSQN in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,55) = strpad('K_mup in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,74) = strpad('K_leak in component calcium_dynamics (per_second)');
LEGEND_CONSTANTS(:,56) = strpad('I_up in component calcium_dynamics (millimolar_per_second)');
LEGEND_CONSTANTS(:,57) = strpad('Ca_NSR_max in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,24) = strpad('Ca_JSR in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,25) = strpad('Ca_NSR in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,77) = strpad('V_myo in component ionic_concentrations (micro_litre)');
LEGEND_CONSTANTS(:,58) = strpad('A_cap in component ionic_concentrations (mm2)');
LEGEND_CONSTANTS(:,79) = strpad('V_JSR in component calcium_dynamics (micro_litre)');
LEGEND_CONSTANTS(:,80) = strpad('V_NSR in component calcium_dynamics (micro_litre)');
LEGEND_CONSTANTS(:,59) = strpad('K_mTn in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,60) = strpad('K_mCMDN in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,61) = strpad('Tn_max in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,62) = strpad('CMDN_max in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,26) = strpad('APtrack in component calcium_dynamics (dimensionless)');
LEGEND_STATES(:,27) = strpad('APtrack2 in component calcium_dynamics (dimensionless)');
LEGEND_STATES(:,28) = strpad('APtrack3 in component calcium_dynamics (dimensionless)');
LEGEND_STATES(:,29) = strpad('Cainfluxtrack in component calcium_dynamics (dimensionless)');
LEGEND_STATES(:,30) = strpad('OVRLDtrack in component calcium_dynamics (dimensionless)');
LEGEND_STATES(:,31) = strpad('OVRLDtrack2 in component calcium_dynamics (dimensionless)');
LEGEND_STATES(:,32) = strpad('OVRLDtrack3 in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('CSQNthresh in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,64) = strpad('Logicthresh in component calcium_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,65) = strpad('preplength in component ionic_concentrations (mm)');
LEGEND_CONSTANTS(:,66) = strpad('radius in component ionic_concentrations (mm)');
LEGEND_CONSTANTS(:,75) = strpad('volume in component ionic_concentrations (micro_litre)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,6) = strpad('d/dt P_C3 in component Na_channel_states (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt P_C2 in component Na_channel_states (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt P_C1 in component Na_channel_states (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt P_O_Na in component Na_channel_states (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt P_IF in component Na_channel_states (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt P_IS in component Na_channel_states (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt b in component T_type_Ca_channel_b_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt g in component T_type_Ca_channel_g_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt P_C3 in component Kr_channel_states (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt P_C2 in component Kr_channel_states (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt P_C1 in component Kr_channel_states (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt P_O in component Kr_channel_states (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt P_I in component Kr_channel_states (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt zdv in component transient_outward_current_zdv_gate (dimensionless)');
LEGEND_RATES(:,23) = strpad('d/dt ydv in component transient_outward_current_ydv_gate (dimensionless)');
LEGEND_RATES(:,26) = strpad('d/dt APtrack in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,27) = strpad('d/dt APtrack2 in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,28) = strpad('d/dt APtrack3 in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,29) = strpad('d/dt Cainfluxtrack in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,30) = strpad('d/dt OVRLDtrack in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,31) = strpad('d/dt OVRLDtrack2 in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,32) = strpad('d/dt OVRLDtrack3 in component calcium_dynamics (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt Ca_JSR in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,25) = strpad('d/dt Ca_NSR in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,9) = strpad('d/dt Cai in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt Nai in component ionic_concentrations (millimolar)');
LEGEND_RATES(:,10) = 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) = -90;
CONSTANTS(:,1) = 8314;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485;
CONSTANTS(:,4) = 0.001;
CONSTANTS(:,5) = 3;
CONSTANTS(:,6) = 9;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.002;
CONSTANTS(:,9) = -25.5;
CONSTANTS(:,10) = 18.5;
CONSTANTS(:,11) = 132;
STATES(:,2) = 9;
STATES(:,3) = 1.78e-6;
STATES(:,4) = 1.119e-4;
STATES(:,5) = 0.0071021;
STATES(:,6) = 0.8294071;
STATES(:,7) = 0.10199797;
STATES(:,8) = 0.0613826;
CONSTANTS(:,12) = 0.75;
CONSTANTS(:,13) = 0.75;
CONSTANTS(:,14) = 0.75;
CONSTANTS(:,15) = 0.75;
CONSTANTS(:,16) = 0.00054;
CONSTANTS(:,17) = 6.75e-7;
CONSTANTS(:,18) = 1.93e-7;
CONSTANTS(:,19) = 1;
CONSTANTS(:,20) = 0.341;
STATES(:,9) = 6e-5;
CONSTANTS(:,21) = 1.8;
CONSTANTS(:,22) = 4.5;
STATES(:,10) = 141.2;
STATES(:,11) = 3.210618e-6;
STATES(:,12) = 0.999837;
CONSTANTS(:,23) = 0.0006;
CONSTANTS(:,24) = 0.05;
STATES(:,13) = 0.000970231;
STATES(:,14) = 0.994305;
STATES(:,15) = 0.000001;
STATES(:,16) = 0.000001;
STATES(:,17) = 0.000001;
STATES(:,18) = 0.000001;
STATES(:,19) = 0.000001;
CONSTANTS(:,25) = 2172;
CONSTANTS(:,26) = 1077;
CONSTANTS(:,27) = 0.01833;
STATES(:,20) = 0.00445683;
STATES(:,21) = 0.00445683;
CONSTANTS(:,28) = 0.00552;
CONSTANTS(:,29) = 2.8;
CONSTANTS(:,30) = 66;
CONSTANTS(:,31) = 1;
CONSTANTS(:,32) = 0.24;
CONSTANTS(:,33) = 5e-5;
CONSTANTS(:,34) = 3;
CONSTANTS(:,35) = 2;
CONSTANTS(:,36) = 0.00025;
STATES(:,22) = 0.5;
STATES(:,23) = 0.5;
CONSTANTS(:,37) = 0.0005;
CONSTANTS(:,38) = 1.15;
CONSTANTS(:,39) = 0.004;
CONSTANTS(:,40) = 0.003016;
CONSTANTS(:,41) = 2.25;
CONSTANTS(:,42) = 10;
CONSTANTS(:,43) = 1.5;
CONSTANTS(:,44) = 0.0012;
CONSTANTS(:,45) = 0.00025;
CONSTANTS(:,46) = 0.0001;
CONSTANTS(:,47) = 0.15;
CONSTANTS(:,48) = 60000;
CONSTANTS(:,49) = 4000;
CONSTANTS(:,50) = 0.18;
CONSTANTS(:,51) = 0.0008;
CONSTANTS(:,52) = 0.00018;
CONSTANTS(:,53) = 10;
CONSTANTS(:,54) = 0.8;
CONSTANTS(:,55) = 0.00092;
CONSTANTS(:,56) = 8.75;
CONSTANTS(:,57) = 15;
STATES(:,24) = 1.8;
STATES(:,25) = 1.8;
CONSTANTS(:,58) = 1.434e-7;
CONSTANTS(:,59) = 0.0005;
CONSTANTS(:,60) = 0.00238;
CONSTANTS(:,61) = 0.07;
CONSTANTS(:,62) = 0.05;
STATES(:,26) = 0;
STATES(:,27) = 0;
STATES(:,28) = 0;
STATES(:,29) = 0;
STATES(:,30) = 0;
STATES(:,31) = 0;
STATES(:,32) = 0;
CONSTANTS(:,63) = 0.7;
CONSTANTS(:,64) = 0.98;
CONSTANTS(:,65) = 0.001;
CONSTANTS(:,66) = 1.1e-4;
CONSTANTS(:,67) = 0.0135000.*power(CONSTANTS(:,22), 0.590000);
CONSTANTS(:,68) = 0.750000.*power((CONSTANTS(:,22)./5.40000), 1.0 ./ 2);
CONSTANTS(:,69) = 0.00000.*0.128480;
CONSTANTS(:,70) = ( CONSTANTS(:,31).*0.000193000)./CONSTANTS(:,33);
CONSTANTS(:,71) = 0.00000.*0.500000;
CONSTANTS(:,72) = (1.00000./7.00000).*(exp(CONSTANTS(:,11)./67.3000) - 1.00000);
CONSTANTS(:,73) = 0.00000.*1.75000e-07;
CONSTANTS(:,74) = CONSTANTS(:,56)./CONSTANTS(:,57);
CONSTANTS(:,75) = pi.*CONSTANTS(:,65).*power(CONSTANTS(:,66), 2.00000);
CONSTANTS(:,76) = 1.00000./(1.00000+power(CONSTANTS(:,34)./CONSTANTS(:,36), CONSTANTS(:,35)));
CONSTANTS(:,77) = 0.680000.*CONSTANTS(:,75);
CONSTANTS(:,78) = CONSTANTS(:,70).*CONSTANTS(:,76).*power(CONSTANTS(:,22)./4.00000, CONSTANTS(:,32));
CONSTANTS(:,79) = (0.00480000./0.680000).*CONSTANTS(:,77);
CONSTANTS(:,80) = (0.0552000./0.680000).*CONSTANTS(:,77);
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
RATES(:,27) = piecewise({STATES(:,26)<0.200000&STATES(:,26)>0.180000, 100000..*(1.00000 - STATES(:,27)) - 500.000.*STATES(:,27) }, - 500.000.*STATES(:,27));
RATES(:,28) = piecewise({STATES(:,26)<0.200000&STATES(:,26)>0.180000, 100000..*(1.00000 - STATES(:,28)) - 500.000.*STATES(:,28) }, - 10.0000.*STATES(:,28));
RATES(:,30) = piecewise({1.00000./(1.00000+CONSTANTS(:,54)./STATES(:,25))>CONSTANTS(:,63)&STATES(:,32)<0.370000&STATES(:,28)<0.370000, 50000.0.*(1.00000 - STATES(:,30)) }, - 500.000.*STATES(:,30));
RATES(:,31) = piecewise({STATES(:,30)>CONSTANTS(:,64)&STATES(:,31)<CONSTANTS(:,64), 50000.0.*(1.00000 - STATES(:,31)) }, - 500.000.*STATES(:,31));
RATES(:,32) = piecewise({STATES(:,30)>CONSTANTS(:,64)&STATES(:,32)<CONSTANTS(:,64), 50000.0.*(1.00000 - STATES(:,32)) }, - 10.0000.*STATES(:,32));
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
ALGEBRAIC(:,16) = 0.00370000+0.00610000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
RATES(:,13) = (ALGEBRAIC(:,4) - STATES(:,13))./ALGEBRAIC(:,16);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
ALGEBRAIC(:,17) = piecewise({STATES(:,1)<=0.00000, - 0.000875000.*STATES(:,1)+0.0120000 }, 0.0120000);
RATES(:,14) = (ALGEBRAIC(:,5) - STATES(:,14))./ALGEBRAIC(:,17);
ALGEBRAIC(:,6) = 55.5000.*exp( 0.0554715.*(STATES(:,1) - 12.0000));
ALGEBRAIC(:,18) = 2.35700.*exp( - 0.0365880.*STATES(:,1)).*10.5000;
RATES(:,18) = ALGEBRAIC(:,18).*STATES(:,17) - ALGEBRAIC(:,6).*STATES(:,18);
RATES(:,17) = - (ALGEBRAIC(:,18)+CONSTANTS(:,25)).*STATES(:,17)+ ALGEBRAIC(:,6).*STATES(:,18)+ CONSTANTS(:,26).*STATES(:,16);
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,20) = 0.00100000./(( 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(:,20) = (ALGEBRAIC(:,8) - STATES(:,20))./ALGEBRAIC(:,20);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,21) = ( 4.00000.*0.00100000)./(( 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(:,21) = (ALGEBRAIC(:,9) - STATES(:,21))./ALGEBRAIC(:,21);
ALGEBRAIC(:,1) = 3802.00./( 0.102700.*exp( - STATES(:,1)./17.0000)+ 0.200000.*exp( - STATES(:,1)./150.000));
ALGEBRAIC(:,32) = 191.700.*exp( - STATES(:,1)./20.3000);
RATES(:,6) = ALGEBRAIC(:,32).*STATES(:,5) - ALGEBRAIC(:,1).*STATES(:,6);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
ALGEBRAIC(:,15) = 0.00100000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
ALGEBRAIC(:,27) = ALGEBRAIC(:,3)./ALGEBRAIC(:,15);
ALGEBRAIC(:,34) = (1.00000 - ALGEBRAIC(:,3))./ALGEBRAIC(:,15);
RATES(:,12) = ALGEBRAIC(:,27).*(1.00000 - STATES(:,12)) - ALGEBRAIC(:,34).*STATES(:,12);
ALGEBRAIC(:,7) = 65.5000.*exp( 0.0554715.*(STATES(:,1) - 36.0000));
ALGEBRAIC(:,19) = 2.93570.*exp( - 0.0215800.*STATES(:,1)).*6.30000;
ALGEBRAIC(:,28) = ( 439.000.*exp( - 0.0235200.*(STATES(:,1)+25.0000)).*4.50000)./CONSTANTS(:,22);
ALGEBRAIC(:,35) = 656.000.*exp( 0.000942000.*STATES(:,1)).*power(4.50000./CONSTANTS(:,22), 0.300000);
RATES(:,15) = - (ALGEBRAIC(:,19)+ALGEBRAIC(:,35)).*STATES(:,15)+ ALGEBRAIC(:,7).*STATES(:,16)+ ALGEBRAIC(:,28).*STATES(:,19);
ALGEBRAIC(:,10) = ( 10000.0.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000));
ALGEBRAIC(:,22) = ( 10000.0.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000));
ALGEBRAIC(:,29) = 1.00000./(ALGEBRAIC(:,10)+ALGEBRAIC(:,22));
ALGEBRAIC(:,36) = ALGEBRAIC(:,10)./(ALGEBRAIC(:,10)+ALGEBRAIC(:,22));
RATES(:,22) = (ALGEBRAIC(:,36) - STATES(:,22))./ALGEBRAIC(:,29);
ALGEBRAIC(:,11) = 15.0000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000));
ALGEBRAIC(:,23) = ( 100.000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000));
ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,11)+ALGEBRAIC(:,23));
ALGEBRAIC(:,37) = ALGEBRAIC(:,11)./(ALGEBRAIC(:,11)+ALGEBRAIC(:,23));
RATES(:,23) = (ALGEBRAIC(:,37) - STATES(:,23))./ALGEBRAIC(:,30);
ALGEBRAIC(:,13) = 3802.00./( 0.102700.*exp( - STATES(:,1)./15.0000)+ 0.230000.*exp( - STATES(:,1)./150.000));
ALGEBRAIC(:,39) = 200.000.*exp( - (STATES(:,1) - 5.00000)./20.3000);
RATES(:,5) = - (ALGEBRAIC(:,32)+ALGEBRAIC(:,13)).*STATES(:,5)+ ALGEBRAIC(:,1).*STATES(:,6)+ ALGEBRAIC(:,39).*STATES(:,4);
ALGEBRAIC(:,2) = STATES(:,1)+10.0000;
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,2)./6.24000));
ALGEBRAIC(:,26) = piecewise({abs(ALGEBRAIC(:,2))<1.00000e-05, 0.00100000./( 0.0350000.*6.24000) }, ( 0.00100000.*ALGEBRAIC(:,14).*(1.00000 - exp( - ALGEBRAIC(:,2)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,33) = ALGEBRAIC(:,14)./ALGEBRAIC(:,26);
ALGEBRAIC(:,40) = (1.00000 - ALGEBRAIC(:,14))./ALGEBRAIC(:,26);
RATES(:,11) = ALGEBRAIC(:,33).*(1.00000 - STATES(:,11)) - ALGEBRAIC(:,40).*STATES(:,11);
ALGEBRAIC(:,41) = ( ALGEBRAIC(:,28).*ALGEBRAIC(:,19).*ALGEBRAIC(:,7))./( ALGEBRAIC(:,7).*ALGEBRAIC(:,35));
RATES(:,16) = - (CONSTANTS(:,26)+ALGEBRAIC(:,7)+ALGEBRAIC(:,7)).*STATES(:,16)+ CONSTANTS(:,25).*STATES(:,17)+ ALGEBRAIC(:,19).*STATES(:,15)+ ALGEBRAIC(:,41).*STATES(:,19);
RATES(:,19) = - (ALGEBRAIC(:,41)+ALGEBRAIC(:,28)).*STATES(:,19)+ ALGEBRAIC(:,7).*STATES(:,16)+ ALGEBRAIC(:,35).*STATES(:,15);
ALGEBRAIC(:,25) = 3802.00./( 0.102700.*exp( - STATES(:,1)./12.0000)+ 0.250000.*exp( - STATES(:,1)./150.000));
ALGEBRAIC(:,43) = 220.000.*exp( - (STATES(:,1) - 10.0000)./20.3000);
ALGEBRAIC(:,47) = 3.79330e-07.*exp( - STATES(:,1)./5.20000);
ALGEBRAIC(:,49) = 8.40000+ 0.0200000.*STATES(:,1);
RATES(:,4) = - (ALGEBRAIC(:,39)+ALGEBRAIC(:,25)+ALGEBRAIC(:,49)).*STATES(:,4)+ ALGEBRAIC(:,13).*STATES(:,5)+ ALGEBRAIC(:,43).*STATES(:,3)+ ALGEBRAIC(:,47).*STATES(:,7);
ALGEBRAIC(:,45) = 9178.00.*exp(STATES(:,1)./29.6800);
ALGEBRAIC(:,51) = ( ALGEBRAIC(:,25).*ALGEBRAIC(:,45).*ALGEBRAIC(:,47))./( ALGEBRAIC(:,43).*ALGEBRAIC(:,49));
RATES(:,3) = - (ALGEBRAIC(:,45)+ALGEBRAIC(:,43)).*STATES(:,3)+ ALGEBRAIC(:,51).*STATES(:,7)+ ALGEBRAIC(:,25).*STATES(:,4);
ALGEBRAIC(:,53) = ALGEBRAIC(:,45)./100.000;
ALGEBRAIC(:,55) = ALGEBRAIC(:,47);
RATES(:,7) = - (ALGEBRAIC(:,51)+ALGEBRAIC(:,47)+ALGEBRAIC(:,53)).*STATES(:,7)+ ALGEBRAIC(:,49).*STATES(:,4)+ ALGEBRAIC(:,55).*STATES(:,8)+ ALGEBRAIC(:,45).*STATES(:,3);
RATES(:,8) = ALGEBRAIC(:,53).*STATES(:,7) - ALGEBRAIC(:,55).*STATES(:,8);
ALGEBRAIC(:,56) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,22)./STATES(:,10));
ALGEBRAIC(:,57) = CONSTANTS(:,67).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,56));
ALGEBRAIC(:,59) = 0.433000.*(1.00000+0.600000./(1.00000+power(3.80000e-05./STATES(:,9), 1.40000)));
ALGEBRAIC(:,58) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,22)+ CONSTANTS(:,27).*CONSTANTS(:,11))./(STATES(:,10)+ CONSTANTS(:,27).*STATES(:,2)));
ALGEBRAIC(:,60) = ALGEBRAIC(:,59).*STATES(:,20).*STATES(:,21).*(STATES(:,1) - ALGEBRAIC(:,58));
ALGEBRAIC(:,61) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,22)./STATES(:,10));
ALGEBRAIC(:,68) = 0.850000./(1.00000+power(CONSTANTS(:,30)./STATES(:,2), CONSTANTS(:,29)));
ALGEBRAIC(:,69) = 0.800000 - 0.650000./(1.00000+exp((STATES(:,1)+125.000)./15.0000));
ALGEBRAIC(:,70) = CONSTANTS(:,69).*ALGEBRAIC(:,68).*ALGEBRAIC(:,69).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,71) = CONSTANTS(:,78).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,72) = exp(STATES(:,1)./100.000);
ALGEBRAIC(:,73) = CONSTANTS(:,71).*power(STATES(:,22), 3.00000).*STATES(:,23).*ALGEBRAIC(:,72).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,62) = 1020.00./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,61)) - 59.2150)));
ALGEBRAIC(:,63) = ( 1000.00.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,61))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,61)) - 594.310))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,61))+4.75300)));
ALGEBRAIC(:,64) = ALGEBRAIC(:,62)./(ALGEBRAIC(:,62)+ALGEBRAIC(:,63));
ALGEBRAIC(:,65) = CONSTANTS(:,68).*ALGEBRAIC(:,64).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,66) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,67) = CONSTANTS(:,28).*ALGEBRAIC(:,66).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,79) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,72).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,80) = ( (( CONSTANTS(:,41).*ALGEBRAIC(:,79).*1.00000)./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), 2.00000))).*CONSTANTS(:,22))./(CONSTANTS(:,22)+CONSTANTS(:,43));
ALGEBRAIC(:,44) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,10).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,46) = 1.00000./(1.00000+STATES(:,9)./CONSTANTS(:,23));
ALGEBRAIC(:,52) = STATES(:,11).*STATES(:,12).*ALGEBRAIC(:,46).*ALGEBRAIC(:,44);
ALGEBRAIC(:,82) = ( (( CONSTANTS(:,73).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,10).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,84) = ( ALGEBRAIC(:,82).*1.00000)./(1.00000+power(CONSTANTS(:,44)./STATES(:,9), 3.00000));
RATES(:,10) = ( - (ALGEBRAIC(:,52)+ALGEBRAIC(:,57)+ALGEBRAIC(:,60)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)+ALGEBRAIC(:,70)+ALGEBRAIC(:,71)+ALGEBRAIC(:,73)+ALGEBRAIC(:,84)+ - ALGEBRAIC(:,80).*2.00000).*CONSTANTS(:,58))./( CONSTANTS(:,77).*CONSTANTS(:,3));
ALGEBRAIC(:,12) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,31) = CONSTANTS(:,10).*STATES(:,3).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,38) = ( (( CONSTANTS(:,16).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,19).*STATES(:,9).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,20).*CONSTANTS(:,21)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,48) = STATES(:,11).*STATES(:,12).*ALGEBRAIC(:,46).*ALGEBRAIC(:,38);
ALGEBRAIC(:,42) = ( (( CONSTANTS(:,17).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,11)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,50) = STATES(:,11).*STATES(:,12).*ALGEBRAIC(:,46).*ALGEBRAIC(:,42);
ALGEBRAIC(:,54) = ALGEBRAIC(:,48)+ALGEBRAIC(:,52)+ALGEBRAIC(:,50);
ALGEBRAIC(:,76) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,21)./STATES(:,9));
ALGEBRAIC(:,77) = CONSTANTS(:,24).*STATES(:,13).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,76));
ALGEBRAIC(:,86) = ( CONSTANTS(:,45).*exp(( (CONSTANTS(:,47) - 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(:,21) - power(CONSTANTS(:,11), 3.00000).*STATES(:,9)))./(1.00000+ CONSTANTS(:,46).*exp(( (CONSTANTS(:,47) - 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(:,21)+ power(CONSTANTS(:,11), 3.00000).*STATES(:,9)));
ALGEBRAIC(:,74) = ( CONSTANTS(:,38).*STATES(:,9))./(CONSTANTS(:,37)+STATES(:,9));
ALGEBRAIC(:,75) = CONSTANTS(:,39).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,78) = CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,76));
ALGEBRAIC(:,81) = ( (( CONSTANTS(:,73).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,11)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,83) = ( ALGEBRAIC(:,81).*1.00000)./(1.00000+power(CONSTANTS(:,44)./STATES(:,9), 3.00000));
ALGEBRAIC(:,85) = ALGEBRAIC(:,83)+ALGEBRAIC(:,84);
RATES(:,1) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,54)+ALGEBRAIC(:,77)+ALGEBRAIC(:,57)+ALGEBRAIC(:,60)+ALGEBRAIC(:,70)+ALGEBRAIC(:,71)+ALGEBRAIC(:,73)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)+ALGEBRAIC(:,86)+ALGEBRAIC(:,74)+ALGEBRAIC(:,75)+ALGEBRAIC(:,78)+ALGEBRAIC(:,80)+ALGEBRAIC(:,85)+ALGEBRAIC(:,12));
RATES(:,29) = piecewise({STATES(:,26)>0.200000, ( - CONSTANTS(:,58).*(((ALGEBRAIC(:,48)+ALGEBRAIC(:,77)) - ALGEBRAIC(:,86))+ALGEBRAIC(:,74)+ALGEBRAIC(:,78)))./( 2.00000.*CONSTANTS(:,77).*CONSTANTS(:,3)) , STATES(:,27)>0.0100000&STATES(:,26)<=0.200000, 0.00000 }, - 500.000.*STATES(:,29));
RATES(:,2) = ( - (ALGEBRAIC(:,31)+ALGEBRAIC(:,50)+ALGEBRAIC(:,75)+ALGEBRAIC(:,83)+ ALGEBRAIC(:,86).*3.00000+ ALGEBRAIC(:,80).*3.00000).*CONSTANTS(:,58))./( CONSTANTS(:,77).*CONSTANTS(:,3));
ALGEBRAIC(:,87) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,54)+ALGEBRAIC(:,77)+ALGEBRAIC(:,57)+ALGEBRAIC(:,60)+ALGEBRAIC(:,70)+ALGEBRAIC(:,71)+ALGEBRAIC(:,73)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)+ALGEBRAIC(:,86)+ALGEBRAIC(:,74)+ALGEBRAIC(:,75)+ALGEBRAIC(:,78)+ALGEBRAIC(:,80)+ALGEBRAIC(:,85)+ALGEBRAIC(:,12));
RATES(:,26) = piecewise({ALGEBRAIC(:,87)>150000., 100000..*(1.00000 - STATES(:,26)) - 500.000.*STATES(:,26) }, - 500.000.*STATES(:,26));
ALGEBRAIC(:,88) = piecewise({STATES(:,29)>CONSTANTS(:,52), (( CONSTANTS(:,48).*(STATES(:,29) - CONSTANTS(:,52)))./((CONSTANTS(:,51)+STATES(:,29)) - CONSTANTS(:,52))).*(1.00000 - STATES(:,27)).*STATES(:,27) , STATES(:,29)<=CONSTANTS(:,52)&STATES(:,31)>0.00000, CONSTANTS(:,49).*(1.00000 - STATES(:,31)).*STATES(:,31) }, 0.00000);
ALGEBRAIC(:,89) = ALGEBRAIC(:,88).*(STATES(:,24) - STATES(:,9));
ALGEBRAIC(:,90) = ( CONSTANTS(:,56).*STATES(:,9))./(STATES(:,9)+CONSTANTS(:,55));
ALGEBRAIC(:,91) = CONSTANTS(:,74).*STATES(:,25);
RATES(:,9) = (1.00000./(1.00000+( CONSTANTS(:,62).*CONSTANTS(:,60))./power(CONSTANTS(:,60)+STATES(:,9), 2.00000)+( CONSTANTS(:,61).*CONSTANTS(:,59))./power(CONSTANTS(:,59)+STATES(:,9), 2.00000))).*(( - CONSTANTS(:,58).*(((ALGEBRAIC(:,48)+ALGEBRAIC(:,77)) - 2.00000.*ALGEBRAIC(:,86))+ALGEBRAIC(:,74)+ALGEBRAIC(:,78)))./( 2.00000.*CONSTANTS(:,77).*CONSTANTS(:,3))+( ALGEBRAIC(:,89).*CONSTANTS(:,79))./CONSTANTS(:,77)+( (ALGEBRAIC(:,91) - ALGEBRAIC(:,90)).*CONSTANTS(:,80))./CONSTANTS(:,77));
ALGEBRAIC(:,92) = (STATES(:,25) - STATES(:,24))./CONSTANTS(:,50);
RATES(:,24) = (1.00000./(1.00000+( CONSTANTS(:,53).*CONSTANTS(:,54))./power(CONSTANTS(:,54)+STATES(:,24), 2.00000))).*(ALGEBRAIC(:,92) - ALGEBRAIC(:,89));
RATES(:,25) = (( - ALGEBRAIC(:,92).*CONSTANTS(:,79))./CONSTANTS(:,80) - ALGEBRAIC(:,91))+ALGEBRAIC(:,90);
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(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
ALGEBRAIC(:,16) = 0.00370000+0.00610000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
ALGEBRAIC(:,17) = piecewise({STATES(:,1)<=0.00000, - 0.000875000.*STATES(:,1)+0.0120000 }, 0.0120000);
ALGEBRAIC(:,6) = 55.5000.*exp( 0.0554715.*(STATES(:,1) - 12.0000));
ALGEBRAIC(:,18) = 2.35700.*exp( - 0.0365880.*STATES(:,1)).*10.5000;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,20) = 0.00100000./(( 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(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,21) = ( 4.00000.*0.00100000)./(( 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) = 3802.00./( 0.102700.*exp( - STATES(:,1)./17.0000)+ 0.200000.*exp( - STATES(:,1)./150.000));
ALGEBRAIC(:,32) = 191.700.*exp( - STATES(:,1)./20.3000);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
ALGEBRAIC(:,15) = 0.00100000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
ALGEBRAIC(:,27) = ALGEBRAIC(:,3)./ALGEBRAIC(:,15);
ALGEBRAIC(:,34) = (1.00000 - ALGEBRAIC(:,3))./ALGEBRAIC(:,15);
ALGEBRAIC(:,7) = 65.5000.*exp( 0.0554715.*(STATES(:,1) - 36.0000));
ALGEBRAIC(:,19) = 2.93570.*exp( - 0.0215800.*STATES(:,1)).*6.30000;
ALGEBRAIC(:,28) = ( 439.000.*exp( - 0.0235200.*(STATES(:,1)+25.0000)).*4.50000)./CONSTANTS(:,22);
ALGEBRAIC(:,35) = 656.000.*exp( 0.000942000.*STATES(:,1)).*power(4.50000./CONSTANTS(:,22), 0.300000);
ALGEBRAIC(:,10) = ( 10000.0.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000));
ALGEBRAIC(:,22) = ( 10000.0.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000));
ALGEBRAIC(:,29) = 1.00000./(ALGEBRAIC(:,10)+ALGEBRAIC(:,22));
ALGEBRAIC(:,36) = ALGEBRAIC(:,10)./(ALGEBRAIC(:,10)+ALGEBRAIC(:,22));
ALGEBRAIC(:,11) = 15.0000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000));
ALGEBRAIC(:,23) = ( 100.000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000));
ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,11)+ALGEBRAIC(:,23));
ALGEBRAIC(:,37) = ALGEBRAIC(:,11)./(ALGEBRAIC(:,11)+ALGEBRAIC(:,23));
ALGEBRAIC(:,13) = 3802.00./( 0.102700.*exp( - STATES(:,1)./15.0000)+ 0.230000.*exp( - STATES(:,1)./150.000));
ALGEBRAIC(:,39) = 200.000.*exp( - (STATES(:,1) - 5.00000)./20.3000);
ALGEBRAIC(:,2) = STATES(:,1)+10.0000;
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,2)./6.24000));
ALGEBRAIC(:,26) = piecewise({abs(ALGEBRAIC(:,2))<1.00000e-05, 0.00100000./( 0.0350000.*6.24000) }, ( 0.00100000.*ALGEBRAIC(:,14).*(1.00000 - exp( - ALGEBRAIC(:,2)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,33) = ALGEBRAIC(:,14)./ALGEBRAIC(:,26);
ALGEBRAIC(:,40) = (1.00000 - ALGEBRAIC(:,14))./ALGEBRAIC(:,26);
ALGEBRAIC(:,41) = ( ALGEBRAIC(:,28).*ALGEBRAIC(:,19).*ALGEBRAIC(:,7))./( ALGEBRAIC(:,7).*ALGEBRAIC(:,35));
ALGEBRAIC(:,25) = 3802.00./( 0.102700.*exp( - STATES(:,1)./12.0000)+ 0.250000.*exp( - STATES(:,1)./150.000));
ALGEBRAIC(:,43) = 220.000.*exp( - (STATES(:,1) - 10.0000)./20.3000);
ALGEBRAIC(:,47) = 3.79330e-07.*exp( - STATES(:,1)./5.20000);
ALGEBRAIC(:,49) = 8.40000+ 0.0200000.*STATES(:,1);
ALGEBRAIC(:,45) = 9178.00.*exp(STATES(:,1)./29.6800);
ALGEBRAIC(:,51) = ( ALGEBRAIC(:,25).*ALGEBRAIC(:,45).*ALGEBRAIC(:,47))./( ALGEBRAIC(:,43).*ALGEBRAIC(:,49));
ALGEBRAIC(:,53) = ALGEBRAIC(:,45)./100.000;
ALGEBRAIC(:,55) = ALGEBRAIC(:,47);
ALGEBRAIC(:,56) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,22)./STATES(:,10));
ALGEBRAIC(:,57) = CONSTANTS(:,67).*STATES(:,15).*(STATES(:,1) - ALGEBRAIC(:,56));
ALGEBRAIC(:,59) = 0.433000.*(1.00000+0.600000./(1.00000+power(3.80000e-05./STATES(:,9), 1.40000)));
ALGEBRAIC(:,58) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,22)+ CONSTANTS(:,27).*CONSTANTS(:,11))./(STATES(:,10)+ CONSTANTS(:,27).*STATES(:,2)));
ALGEBRAIC(:,60) = ALGEBRAIC(:,59).*STATES(:,20).*STATES(:,21).*(STATES(:,1) - ALGEBRAIC(:,58));
ALGEBRAIC(:,61) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,22)./STATES(:,10));
ALGEBRAIC(:,68) = 0.850000./(1.00000+power(CONSTANTS(:,30)./STATES(:,2), CONSTANTS(:,29)));
ALGEBRAIC(:,69) = 0.800000 - 0.650000./(1.00000+exp((STATES(:,1)+125.000)./15.0000));
ALGEBRAIC(:,70) = CONSTANTS(:,69).*ALGEBRAIC(:,68).*ALGEBRAIC(:,69).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,71) = CONSTANTS(:,78).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,72) = exp(STATES(:,1)./100.000);
ALGEBRAIC(:,73) = CONSTANTS(:,71).*power(STATES(:,22), 3.00000).*STATES(:,23).*ALGEBRAIC(:,72).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,62) = 1020.00./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,61)) - 59.2150)));
ALGEBRAIC(:,63) = ( 1000.00.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,61))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,61)) - 594.310))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,61))+4.75300)));
ALGEBRAIC(:,64) = ALGEBRAIC(:,62)./(ALGEBRAIC(:,62)+ALGEBRAIC(:,63));
ALGEBRAIC(:,65) = CONSTANTS(:,68).*ALGEBRAIC(:,64).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,66) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,67) = CONSTANTS(:,28).*ALGEBRAIC(:,66).*(STATES(:,1) - ALGEBRAIC(:,61));
ALGEBRAIC(:,79) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,72).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,80) = ( (( CONSTANTS(:,41).*ALGEBRAIC(:,79).*1.00000)./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), 2.00000))).*CONSTANTS(:,22))./(CONSTANTS(:,22)+CONSTANTS(:,43));
ALGEBRAIC(:,44) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,10).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,46) = 1.00000./(1.00000+STATES(:,9)./CONSTANTS(:,23));
ALGEBRAIC(:,52) = STATES(:,11).*STATES(:,12).*ALGEBRAIC(:,46).*ALGEBRAIC(:,44);
ALGEBRAIC(:,82) = ( (( CONSTANTS(:,73).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,10).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,84) = ( ALGEBRAIC(:,82).*1.00000)./(1.00000+power(CONSTANTS(:,44)./STATES(:,9), 3.00000));
ALGEBRAIC(:,12) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,31) = CONSTANTS(:,10).*STATES(:,3).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,38) = ( (( CONSTANTS(:,16).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,19).*STATES(:,9).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,20).*CONSTANTS(:,21)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,48) = STATES(:,11).*STATES(:,12).*ALGEBRAIC(:,46).*ALGEBRAIC(:,38);
ALGEBRAIC(:,42) = ( (( CONSTANTS(:,17).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,11)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,50) = STATES(:,11).*STATES(:,12).*ALGEBRAIC(:,46).*ALGEBRAIC(:,42);
ALGEBRAIC(:,54) = ALGEBRAIC(:,48)+ALGEBRAIC(:,52)+ALGEBRAIC(:,50);
ALGEBRAIC(:,76) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,21)./STATES(:,9));
ALGEBRAIC(:,77) = CONSTANTS(:,24).*STATES(:,13).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,76));
ALGEBRAIC(:,86) = ( CONSTANTS(:,45).*exp(( (CONSTANTS(:,47) - 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(:,21) - power(CONSTANTS(:,11), 3.00000).*STATES(:,9)))./(1.00000+ CONSTANTS(:,46).*exp(( (CONSTANTS(:,47) - 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(:,21)+ power(CONSTANTS(:,11), 3.00000).*STATES(:,9)));
ALGEBRAIC(:,74) = ( CONSTANTS(:,38).*STATES(:,9))./(CONSTANTS(:,37)+STATES(:,9));
ALGEBRAIC(:,75) = CONSTANTS(:,39).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,78) = CONSTANTS(:,40).*(STATES(:,1) - ALGEBRAIC(:,76));
ALGEBRAIC(:,81) = ( (( CONSTANTS(:,73).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,11)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,83) = ( ALGEBRAIC(:,81).*1.00000)./(1.00000+power(CONSTANTS(:,44)./STATES(:,9), 3.00000));
ALGEBRAIC(:,85) = ALGEBRAIC(:,83)+ALGEBRAIC(:,84);
ALGEBRAIC(:,87) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,54)+ALGEBRAIC(:,77)+ALGEBRAIC(:,57)+ALGEBRAIC(:,60)+ALGEBRAIC(:,70)+ALGEBRAIC(:,71)+ALGEBRAIC(:,73)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)+ALGEBRAIC(:,86)+ALGEBRAIC(:,74)+ALGEBRAIC(:,75)+ALGEBRAIC(:,78)+ALGEBRAIC(:,80)+ALGEBRAIC(:,85)+ALGEBRAIC(:,12));
ALGEBRAIC(:,88) = piecewise({STATES(:,29)>CONSTANTS(:,52), (( CONSTANTS(:,48).*(STATES(:,29) - CONSTANTS(:,52)))./((CONSTANTS(:,51)+STATES(:,29)) - CONSTANTS(:,52))).*(1.00000 - STATES(:,27)).*STATES(:,27) , STATES(:,29)<=CONSTANTS(:,52)&STATES(:,31)>0.00000, CONSTANTS(:,49).*(1.00000 - STATES(:,31)).*STATES(:,31) }, 0.00000);
ALGEBRAIC(:,89) = ALGEBRAIC(:,88).*(STATES(:,24) - STATES(:,9));
ALGEBRAIC(:,90) = ( CONSTANTS(:,56).*STATES(:,9))./(STATES(:,9)+CONSTANTS(:,55));
ALGEBRAIC(:,91) = CONSTANTS(:,74).*STATES(:,25);
ALGEBRAIC(:,92) = (STATES(:,25) - STATES(:,24))./CONSTANTS(:,50);
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