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 =82;
end
% There are a total of 29 entries in each of the rate and state variable arrays.
% There are a total of 63 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('C in component membrane (microF)');
LEGEND_CONSTANTS(:,54) = strpad('RTONF in component membrane (millivolt)');
LEGEND_ALGEBRAIC(:,67) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,72) = strpad('i_CaL in component L_type_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,68) = strpad('i_to in component transient_outward_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_f in component hyperpolarising_activated_current (nanoA)');
LEGEND_ALGEBRAIC(:,69) = strpad('i_st in component sustained_outward_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,66) = strpad('i_NaCa in component sodium_calcium_exchange_current (nanoA)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_p in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_b in component background_current (nanoA)');
LEGEND_ALGEBRAIC(:,71) = strpad('i_ACh in component acetylcholine_sensitive_current (nanoA)');
LEGEND_ALGEBRAIC(:,18) = strpad('i_Stim in component membrane (nanoA)');
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 (second)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (nanoA)');
LEGEND_CONSTANTS(:,10) = strpad('g_f in component hyperpolarising_activated_current (microS)');
LEGEND_CONSTANTS(:,11) = strpad('ACh in component acetylcholine_sensitive_current (millimolar)');
LEGEND_STATES(:,2) = strpad('y in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('y_inf in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_y in component hyperpolarising_activated_current_y_gate (second)');
LEGEND_CONSTANTS(:,12) = strpad('g_Kr in component rapid_delayed_rectifier_potassium_current (microS)');
LEGEND_CONSTANTS(:,56) = strpad('E_K in component rapid_delayed_rectifier_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,13) = strpad('Ki in component intracellular_potassium_concentration (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('Kc in component extracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('paf in component rapid_delayed_rectifier_potassium_current_paf_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('pas in component rapid_delayed_rectifier_potassium_current_pas_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('pik in component rapid_delayed_rectifier_potassium_current_pik_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('paf_infinity in component rapid_delayed_rectifier_potassium_current_paf_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_paf in component rapid_delayed_rectifier_potassium_current_paf_gate (second)');
LEGEND_ALGEBRAIC(:,3) = strpad('pas_infinity in component rapid_delayed_rectifier_potassium_current_pas_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('tau_pas in component rapid_delayed_rectifier_potassium_current_pas_gate (second)');
LEGEND_ALGEBRAIC(:,4) = strpad('pik_infinity in component rapid_delayed_rectifier_potassium_current_pik_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('alpha_pik in component rapid_delayed_rectifier_potassium_current_pik_gate (per_second)');
LEGEND_ALGEBRAIC(:,36) = strpad('beta_pik in component rapid_delayed_rectifier_potassium_current_pik_gate (per_second)');
LEGEND_ALGEBRAIC(:,44) = strpad('tau_pik in component rapid_delayed_rectifier_potassium_current_pik_gate (second)');
LEGEND_CONSTANTS(:,15) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_ALGEBRAIC(:,50) = strpad('g_K1_prime in component time_independent_potassium_current (microS)');
LEGEND_CONSTANTS(:,16) = strpad('g_b in component background_current (microS)');
LEGEND_CONSTANTS(:,17) = strpad('E_b in component background_current (millivolt)');
LEGEND_CONSTANTS(:,18) = strpad('I_p in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,19) = strpad('Nai in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('kNaCa in component sodium_calcium_exchange_current (nanoA)');
LEGEND_ALGEBRAIC(:,62) = strpad('x1 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,63) = strpad('x2 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,64) = strpad('x3 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('x4 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('k41 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,55) = strpad('k34 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('k23 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('k21 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('k32 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,59) = strpad('k43 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('k12 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,60) = strpad('k14 in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('Qci in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('Qn in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('Qco in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('Kci in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,25) = strpad('K1ni in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('K2ni in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,27) = strpad('K3ni in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('Kcni in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('K3no in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('K1no in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('K2no in component sodium_calcium_exchange_current (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('Kco in component sodium_calcium_exchange_current (millimolar)');
LEGEND_ALGEBRAIC(:,54) = strpad('do in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('di in component sodium_calcium_exchange_current (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('Cao in component extracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('Nao in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,6) = strpad('Casub in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('g_Na in component fast_sodium_current (microlitre_per_second)');
LEGEND_CONSTANTS(:,57) = strpad('E_Na in component fast_sodium_current (millivolt)');
LEGEND_STATES(:,7) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('h1 in component fast_sodium_current_h1_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('h2 in component fast_sodium_current_h2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,37) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,36) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,5) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha_h1 in component fast_sodium_current_h1_gate (per_second)');
LEGEND_ALGEBRAIC(:,25) = strpad('beta_h1 in component fast_sodium_current_h1_gate (per_second)');
LEGEND_ALGEBRAIC(:,38) = strpad('h1_inf in component fast_sodium_current_h1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('tau_h1 in component fast_sodium_current_h1_gate (second)');
LEGEND_ALGEBRAIC(:,7) = strpad('alpha_h2 in component fast_sodium_current_h2_gate (per_second)');
LEGEND_ALGEBRAIC(:,26) = strpad('beta_h2 in component fast_sodium_current_h2_gate (per_second)');
LEGEND_ALGEBRAIC(:,39) = strpad('h2_inf in component fast_sodium_current_h2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('tau_h2 in component fast_sodium_current_h2_gate (second)');
LEGEND_CONSTANTS(:,37) = strpad('g_CaL in component L_type_calcium_current (microS)');
LEGEND_CONSTANTS(:,38) = strpad('E_CaL in component L_type_calcium_current (millivolt)');
LEGEND_STATES(:,10) = strpad('d in component L_type_calcium_current_d_gate (dimensionless)');
LEGEND_STATES(:,11) = strpad('f in component L_type_calcium_current_f_gate (dimensionless)');
LEGEND_STATES(:,12) = strpad('f2 in component L_type_calcium_current_f2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_d in component L_type_calcium_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,27) = strpad('beta_d in component L_type_calcium_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,40) = strpad('d_inf in component L_type_calcium_current_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('tau_d in component L_type_calcium_current_d_gate (second)');
LEGEND_CONSTANTS(:,39) = strpad('act_shift in component L_type_calcium_current_d_gate (millivolt)');
LEGEND_CONSTANTS(:,40) = strpad('slope_factor_act in component L_type_calcium_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,9) = strpad('f_inf in component L_type_calcium_current_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('tau_f in component L_type_calcium_current_f_gate (second)');
LEGEND_CONSTANTS(:,41) = strpad('inact_shift in component L_type_calcium_current_f_gate (millivolt)');
LEGEND_ALGEBRAIC(:,10) = strpad('f2_inf in component L_type_calcium_current_f2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('tau_f2 in component L_type_calcium_current_f2_gate (second)');
LEGEND_CONSTANTS(:,42) = strpad('inact_shift in component L_type_calcium_current_f2_gate (millivolt)');
LEGEND_CONSTANTS(:,58) = strpad('E_K in component transient_outward_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,43) = strpad('g_to in component transient_outward_potassium_current (microS)');
LEGEND_STATES(:,13) = strpad('r in component transient_outward_potassium_current_r_gate (dimensionless)');
LEGEND_STATES(:,14) = strpad('q_fast in component transient_outward_potassium_current_qfast_gate (dimensionless)');
LEGEND_STATES(:,15) = strpad('q_slow in component transient_outward_potassium_current_qslow_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('tau_r in component transient_outward_potassium_current_r_gate (second)');
LEGEND_ALGEBRAIC(:,11) = strpad('r_infinity in component transient_outward_potassium_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('tau_qfast in component transient_outward_potassium_current_qfast_gate (second)');
LEGEND_ALGEBRAIC(:,12) = strpad('qfast_infinity in component transient_outward_potassium_current_qfast_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,32) = strpad('tau_qslow in component transient_outward_potassium_current_qslow_gate (second)');
LEGEND_ALGEBRAIC(:,13) = strpad('qslow_infinity in component transient_outward_potassium_current_qslow_gate (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('E_st in component sustained_outward_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,45) = strpad('g_st in component sustained_outward_potassium_current (microS)');
LEGEND_STATES(:,16) = strpad('qa in component sustained_outward_potassium_current_qa_gate (dimensionless)');
LEGEND_STATES(:,17) = strpad('qi in component sustained_outward_potassium_current_qi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,48) = strpad('tau_qa in component sustained_outward_potassium_current_qa_gate (second)');
LEGEND_ALGEBRAIC(:,14) = strpad('qa_infinity in component sustained_outward_potassium_current_qa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('alpha_qa in component sustained_outward_potassium_current_qa_gate (per_second)');
LEGEND_ALGEBRAIC(:,41) = strpad('beta_qa in component sustained_outward_potassium_current_qa_gate (per_second)');
LEGEND_ALGEBRAIC(:,49) = strpad('tau_qi in component sustained_outward_potassium_current_qi_gate (second)');
LEGEND_ALGEBRAIC(:,15) = strpad('alpha_qi in component sustained_outward_potassium_current_qi_gate (per_second)');
LEGEND_ALGEBRAIC(:,34) = strpad('beta_qi in component sustained_outward_potassium_current_qi_gate (per_second)');
LEGEND_ALGEBRAIC(:,42) = strpad('qi_infinity in component sustained_outward_potassium_current_qi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,70) = strpad('g_ACh in component acetylcholine_sensitive_current (microS)');
LEGEND_CONSTANTS(:,46) = strpad('g_ACh_max in component acetylcholine_sensitive_current (microS)');
LEGEND_CONSTANTS(:,47) = strpad('K_ACh in component acetylcholine_sensitive_current (millimolar)');
LEGEND_STATES(:,18) = strpad('achf in component acetylcholine_sensitive_current_achf_gate (dimensionless)');
LEGEND_STATES(:,19) = strpad('achs in component acetylcholine_sensitive_current_achs_gate (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('alpha_achf in component acetylcholine_sensitive_current_achf_gate (per_second)');
LEGEND_ALGEBRAIC(:,16) = strpad('beta_achf in component acetylcholine_sensitive_current_achf_gate (per_second)');
LEGEND_CONSTANTS(:,49) = strpad('alpha_achs in component acetylcholine_sensitive_current_achs_gate (per_second)');
LEGEND_ALGEBRAIC(:,17) = strpad('beta_achs in component acetylcholine_sensitive_current_achs_gate (per_second)');
LEGEND_STATES(:,20) = strpad('Cai in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,60) = strpad('V_up in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,61) = strpad('V_rel in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,62) = strpad('V_sub in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,63) = strpad('Vi in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,50) = strpad('V_cell in component intracellular_calcium_concentration (micrometre3)');
LEGEND_ALGEBRAIC(:,74) = strpad('i_up in component intracellular_calcium_concentration (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,75) = strpad('i_tr in component intracellular_calcium_concentration (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,77) = strpad('i_rel in component intracellular_calcium_concentration (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,73) = strpad('i_diff in component intracellular_calcium_concentration (millimolar_per_second)');
LEGEND_STATES(:,21) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,22) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,51) = strpad('P_rel in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,52) = strpad('K_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,53) = strpad('tau_tr in component intracellular_calcium_concentration (second)');
LEGEND_STATES(:,23) = strpad('f_TC in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES(:,24) = strpad('f_TMC in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES(:,25) = strpad('f_TMM in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES(:,26) = strpad('f_CMi in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES(:,27) = strpad('f_CMs in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES(:,28) = strpad('f_CQ in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES(:,29) = strpad('f_CSL in component intracellular_calcium_concentration (dimensionless)');
LEGEND_ALGEBRAIC(:,76) = strpad('diff_f_TC in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,78) = strpad('diff_f_TMC in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('diff_f_TMM in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,79) = strpad('diff_f_CMi in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,80) = strpad('diff_f_CMs in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,81) = strpad('diff_f_CQ in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,82) = strpad('diff_f_CSL in component intracellular_calcium_concentration (per_second)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,2) = strpad('d/dt y in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt paf in component rapid_delayed_rectifier_potassium_current_paf_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt pas in component rapid_delayed_rectifier_potassium_current_pas_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt pik in component rapid_delayed_rectifier_potassium_current_pik_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt h1 in component fast_sodium_current_h1_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt h2 in component fast_sodium_current_h2_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt d in component L_type_calcium_current_d_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt f in component L_type_calcium_current_f_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt f2 in component L_type_calcium_current_f2_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt r in component transient_outward_potassium_current_r_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt q_fast in component transient_outward_potassium_current_qfast_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt q_slow in component transient_outward_potassium_current_qslow_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt qa in component sustained_outward_potassium_current_qa_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt qi in component sustained_outward_potassium_current_qi_gate (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt achf in component acetylcholine_sensitive_current_achf_gate (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt achs in component acetylcholine_sensitive_current_achs_gate (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,22) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,20) = strpad('d/dt Cai in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt Casub in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,23) = strpad('d/dt f_TC in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt f_TMC in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,25) = strpad('d/dt f_TMM in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,26) = strpad('d/dt f_CMi in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,27) = strpad('d/dt f_CMs in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,28) = strpad('d/dt f_CQ in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,29) = strpad('d/dt f_CSL in component intracellular_calcium_concentration (dimensionless)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = -71.5535452525735;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 4e-5;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 99999;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.001;
CONSTANTS(:,9) = -2;
CONSTANTS(:,10) = 0;
CONSTANTS(:,11) = 0;
STATES(:,2) = 0.231892950445813;
CONSTANTS(:,12) = 0.0015;
CONSTANTS(:,13) = 140;
CONSTANTS(:,14) = 5.4;
STATES(:,3) = 0.000907827363439979;
STATES(:,4) = 0.00289901267127429;
STATES(:,5) = 0.987889953123897;
CONSTANTS(:,15) = 0.0125;
CONSTANTS(:,16) = 0.0018;
CONSTANTS(:,17) = -52.5;
CONSTANTS(:,18) = 0.0246;
CONSTANTS(:,19) = 8;
CONSTANTS(:,20) = 5.916;
CONSTANTS(:,21) = 0.1369;
CONSTANTS(:,22) = 0.4315;
CONSTANTS(:,23) = 0;
CONSTANTS(:,24) = 0.0207;
CONSTANTS(:,25) = 395.3;
CONSTANTS(:,26) = 2.289;
CONSTANTS(:,27) = 26.44;
CONSTANTS(:,28) = 26.44;
CONSTANTS(:,29) = 4.663;
CONSTANTS(:,30) = 1628;
CONSTANTS(:,31) = 561.4;
CONSTANTS(:,32) = 3.663;
CONSTANTS(:,33) = 2;
CONSTANTS(:,34) = 140;
STATES(:,6) = 2.86962804165375e-5;
CONSTANTS(:,35) = 5e-7;
STATES(:,7) = 0.0104794040295793;
STATES(:,8) = 0.792210965943567;
STATES(:,9) = 0.78834840378483;
CONSTANTS(:,36) = 1e-5;
CONSTANTS(:,37) = 0.0185;
CONSTANTS(:,38) = 62.5;
STATES(:,10) = 3.2286733432613e-5;
STATES(:,11) = 0.998822085003546;
STATES(:,12) = 0.998815467202695;
CONSTANTS(:,39) = 0;
CONSTANTS(:,40) = -6.61;
CONSTANTS(:,41) = -5;
CONSTANTS(:,42) = -5;
CONSTANTS(:,43) = 0.02;
STATES(:,13) = 0.00802880907824072;
STATES(:,14) = 0.995494395556732;
STATES(:,15) = 0.547966933708077;
CONSTANTS(:,44) = -37.4;
CONSTANTS(:,45) = 0;
STATES(:,16) = 0.0758461021803425;
STATES(:,17) = 0.943345608766177;
CONSTANTS(:,46) = 0.0198;
CONSTANTS(:,47) = 0.00035;
STATES(:,18) = 0.760265641624297;
STATES(:,19) = 0.764664867332735;
CONSTANTS(:,48) = 73.1;
CONSTANTS(:,49) = 3.7;
STATES(:,20) = 3.10430405261017e-5;
CONSTANTS(:,50) = 4.39823e-6;
STATES(:,21) = 0.667220893111124;
STATES(:,22) = 0.557458998353581;
CONSTANTS(:,51) = 1805.6;
CONSTANTS(:,52) = 0.0006;
CONSTANTS(:,53) = 0.06;
STATES(:,23) = 0.0061557815047835;
STATES(:,24) = 0.112200926320798;
STATES(:,25) = 0.784309464255762;
STATES(:,26) = 0.012895686161953;
STATES(:,27) = 0.0119201823967662;
STATES(:,28) = 0.400684024879925;
STATES(:,29) = 8.91124266400812e-6;
CONSTANTS(:,54) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3);
CONSTANTS(:,55) = CONSTANTS(:,34)./(CONSTANTS(:,29)+CONSTANTS(:,34));
CONSTANTS(:,56) = CONSTANTS(:,54).*log(CONSTANTS(:,14)./CONSTANTS(:,13));
CONSTANTS(:,57) = CONSTANTS(:,54).*log(CONSTANTS(:,34)./CONSTANTS(:,19));
CONSTANTS(:,58) = CONSTANTS(:,54).*log(CONSTANTS(:,14)./CONSTANTS(:,13));
CONSTANTS(:,59) = CONSTANTS(:,19)./(CONSTANTS(:,27)+CONSTANTS(:,19));
CONSTANTS(:,60) = 0.0116000.*CONSTANTS(:,50);
CONSTANTS(:,61) = 0.00120000.*CONSTANTS(:,50);
CONSTANTS(:,62) = 0.0100000.*CONSTANTS(:,50);
CONSTANTS(:,63) = 0.460000.*CONSTANTS(:,50) - CONSTANTS(:,62);
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(:,16) = 120.000./(1.00000+exp( - (STATES(:,1)+50.0000)./15.0000));
RATES(:,18) = CONSTANTS(:,48).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,16).*STATES(:,18);
ALGEBRAIC(:,17) = 5.82000./(1.00000+exp( - (STATES(:,1)+50.0000)./15.0000));
RATES(:,19) = CONSTANTS(:,49).*(1.00000 - STATES(:,19)) - ALGEBRAIC(:,17).*STATES(:,19);
ALGEBRAIC(:,19) = 2277.00.*2.50000.*((1.00000 - STATES(:,24)) - STATES(:,25)) - 751.000.*STATES(:,25);
RATES(:,25) = ALGEBRAIC(:,19);
ALGEBRAIC(:,1) = 1.00000./(1.00000+exp(((STATES(:,1)+83.1900) - ( - 7.20000.*power(CONSTANTS(:,11), 0.690000))./(power(1.26000e-05, 0.690000)+power(CONSTANTS(:,11), 0.690000)))./13.5600));
ALGEBRAIC(:,20) = 0.250000+ 2.00000.*exp( - power(STATES(:,1)+70.0000, 2.00000)./500.000);
RATES(:,2) = (ALGEBRAIC(:,1) - STATES(:,2))./ALGEBRAIC(:,20);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+10.2200)./ - 8.50000));
ALGEBRAIC(:,21) = 1.00000./( 17.0000.*exp( 0.0398000.*STATES(:,1))+ 0.211000.*exp( - 0.0510000.*STATES(:,1)));
RATES(:,3) = (ALGEBRAIC(:,2) - STATES(:,3))./ALGEBRAIC(:,21);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+10.2200)./ - 8.50000));
ALGEBRAIC(:,22) = 0.335810+ 0.906730.*exp( - power(STATES(:,1)+10.0000, 2.00000)./988.050);
RATES(:,4) = (ALGEBRAIC(:,3) - STATES(:,4))./ALGEBRAIC(:,22);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1) - ( - 24.0000+CONSTANTS(:,41)))./6.31000));
ALGEBRAIC(:,28) = 0.0100000+ 0.153900.*exp( - power(STATES(:,1)+40.0000, 2.00000)./185.670);
RATES(:,11) = (ALGEBRAIC(:,9) - STATES(:,11))./ALGEBRAIC(:,28);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1) - ( - 24.0000+CONSTANTS(:,42)))./6.31000));
ALGEBRAIC(:,29) = 0.0600000+ 0.480760.*2.25000.*exp( - power(STATES(:,1) - - 40.0000, 2.00000)./138.040);
RATES(:,12) = (ALGEBRAIC(:,10) - STATES(:,12))./ALGEBRAIC(:,29);
ALGEBRAIC(:,30) = 0.000596000+0.00311800./( 1.03700.*exp( 0.0900000.*(STATES(:,1)+30.6100))+ 0.396000.*exp( - 0.120000.*(STATES(:,1)+23.8400)));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1) - 7.44000)./ - 16.4000));
RATES(:,13) = (ALGEBRAIC(:,11) - STATES(:,13))./ALGEBRAIC(:,30);
ALGEBRAIC(:,31) = 0.0126600+4.72716./(1.00000+exp((STATES(:,1)+154.500)./23.9600));
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+33.8000)./6.12000));
RATES(:,14) = (ALGEBRAIC(:,12) - STATES(:,14))./ALGEBRAIC(:,31);
ALGEBRAIC(:,32) = 0.100000+ 4.00000.*exp( - power(STATES(:,1)+65.0000, 2.00000)./500.000);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+33.8000)./6.12000));
RATES(:,15) = (ALGEBRAIC(:,13) - STATES(:,15))./ALGEBRAIC(:,32);
ALGEBRAIC(:,5) = STATES(:,1)+44.4000;
ALGEBRAIC(:,24) = piecewise({abs(ALGEBRAIC(:,5))<CONSTANTS(:,36), ( - 460.000.* - 12.6730)./exp(ALGEBRAIC(:,5)./ - 12.6730) }, ( - 460.000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./ - 12.6730) - 1.00000));
ALGEBRAIC(:,37) = 18400.0.*exp(ALGEBRAIC(:,5)./ - 12.6730);
RATES(:,7) = ALGEBRAIC(:,24).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,37).*STATES(:,7);
ALGEBRAIC(:,4) = (1.00000./(1.00000+exp((STATES(:,1)+4.90000)./15.1400))).*(1.00000 - 0.300000.*exp( - power(STATES(:,1), 2.00000)./500.000));
ALGEBRAIC(:,23) = 92.0100.*exp( - 0.0183000.*STATES(:,1));
ALGEBRAIC(:,36) = 603.600.*exp( 0.00942000.*STATES(:,1));
ALGEBRAIC(:,44) = 1.00000./(ALGEBRAIC(:,23)+ALGEBRAIC(:,36));
RATES(:,5) = (ALGEBRAIC(:,4) - STATES(:,5))./ALGEBRAIC(:,44);
ALGEBRAIC(:,6) = 44.9000.*exp((STATES(:,1)+66.9000)./ - 5.57000);
ALGEBRAIC(:,25) = 1491.00./(1.00000+ 323.300.*exp((STATES(:,1)+94.6000)./ - 12.9000));
ALGEBRAIC(:,38) = ALGEBRAIC(:,6)./(ALGEBRAIC(:,6)+ALGEBRAIC(:,25));
ALGEBRAIC(:,45) = 0.0300000./(1.00000+exp((STATES(:,1)+40.0000)./6.00000))+0.000350000;
RATES(:,8) = (ALGEBRAIC(:,38) - STATES(:,8))./ALGEBRAIC(:,45);
ALGEBRAIC(:,7) = 44.9000.*exp((STATES(:,1)+66.9000)./ - 5.57000);
ALGEBRAIC(:,26) = 1491.00./(1.00000+ 323.300.*exp((STATES(:,1)+94.6000)./ - 12.9000));
ALGEBRAIC(:,39) = ALGEBRAIC(:,7)./(ALGEBRAIC(:,7)+ALGEBRAIC(:,26));
ALGEBRAIC(:,46) = 0.120000./(1.00000+exp((STATES(:,1)+60.0000)./2.00000))+0.00295000;
RATES(:,9) = (ALGEBRAIC(:,39) - STATES(:,9))./ALGEBRAIC(:,46);
ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1) - ( - 3.20000+CONSTANTS(:,39)))./CONSTANTS(:,40)));
ALGEBRAIC(:,8) = ( - 26.1200.*(STATES(:,1)+35.0000))./(exp((STATES(:,1)+35.0000)./ - 2.50000) - 1.00000)+( - 78.1100.*STATES(:,1))./(exp( - 0.208000.*STATES(:,1)) - 1.00000);
ALGEBRAIC(:,27) = ( 10.5200.*(STATES(:,1) - 5.00000))./(exp( 0.400000.*(STATES(:,1) - 5.00000)) - 1.00000);
ALGEBRAIC(:,47) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,27));
RATES(:,10) = (ALGEBRAIC(:,40) - STATES(:,10))./ALGEBRAIC(:,47);
ALGEBRAIC(:,33) = 1.00000./( 0.150000.*exp( - STATES(:,1)./11.0000)+ 0.200000.*exp( - STATES(:,1)./700.000));
ALGEBRAIC(:,41) = 1.00000./( 16.0000.*exp(STATES(:,1)./8.00000)+ 15.0000.*exp(STATES(:,1)./50.0000));
ALGEBRAIC(:,48) = 0.00100000./(ALGEBRAIC(:,33)+ALGEBRAIC(:,41));
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1) - - 49.1000)./ - 8.98000));
RATES(:,16) = (ALGEBRAIC(:,14) - STATES(:,16))./ALGEBRAIC(:,48);
ALGEBRAIC(:,15) = 0.150400./( 3100.00.*exp(STATES(:,1)./13.0000)+ 700.000.*exp(STATES(:,1)./70.0000));
ALGEBRAIC(:,34) = 0.150400./( 95.0000.*exp( - STATES(:,1)./10.0000)+ 50.0000.*exp( - STATES(:,1)./700.000))+0.000229000./(1.00000+exp( - STATES(:,1)./5.00000));
ALGEBRAIC(:,49) = 0.00100000./(ALGEBRAIC(:,15)+ALGEBRAIC(:,34));
ALGEBRAIC(:,42) = ALGEBRAIC(:,15)./(ALGEBRAIC(:,15)+ALGEBRAIC(:,34));
RATES(:,17) = (ALGEBRAIC(:,42) - STATES(:,17))./ALGEBRAIC(:,49);
ALGEBRAIC(:,67) = ( (( CONSTANTS(:,35).*power(STATES(:,7), 3.00000).*( 0.635000.*STATES(:,8)+ 0.365000.*STATES(:,9)).*CONSTANTS(:,34).*STATES(:,1).*CONSTANTS(:,3))./CONSTANTS(:,54)).*(exp((STATES(:,1) - CONSTANTS(:,57))./CONSTANTS(:,54)) - 1.00000))./(exp(STATES(:,1)./CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,70) = ( CONSTANTS(:,46).*STATES(:,18).*STATES(:,19).*power(CONSTANTS(:,11), 1.50000))./(power(CONSTANTS(:,47), 1.50000)+power(CONSTANTS(:,11), 1.50000));
ALGEBRAIC(:,71) = ( (( ALGEBRAIC(:,70).*CONSTANTS(:,14))./(10.0000+CONSTANTS(:,14))).*(STATES(:,1) - CONSTANTS(:,56)))./(1.00000+exp(((STATES(:,1) - CONSTANTS(:,56)) - 140.000)./( 2.50000.*CONSTANTS(:,54))));
ALGEBRAIC(:,72) = CONSTANTS(:,37).*STATES(:,10).*( 0.675000.*STATES(:,11)+ 0.325000.*STATES(:,12)).*(STATES(:,1) - CONSTANTS(:,38)).*(1.00000 - (( ALGEBRAIC(:,71).*CONSTANTS(:,11))./(9.00000e-05+CONSTANTS(:,11)))./1.00000);
ALGEBRAIC(:,68) = CONSTANTS(:,43).*STATES(:,13).*( 0.450000.*STATES(:,14)+ 0.550000.*STATES(:,15)).*(STATES(:,1) - CONSTANTS(:,58));
ALGEBRAIC(:,43) = CONSTANTS(:,12).*( 0.900000.*STATES(:,3)+ 0.100000.*STATES(:,4)).*STATES(:,5).*(STATES(:,1) - CONSTANTS(:,56));
ALGEBRAIC(:,35) = STATES(:,2).*CONSTANTS(:,10).*(STATES(:,1) - - 30.0000);
ALGEBRAIC(:,69) = CONSTANTS(:,45).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - CONSTANTS(:,44));
ALGEBRAIC(:,50) = CONSTANTS(:,15).*(0.500000+0.500000./(1.00000+exp((STATES(:,1)+30.0000)./5.00000)));
ALGEBRAIC(:,51) = ( ALGEBRAIC(:,50).*power(CONSTANTS(:,14)./(CONSTANTS(:,14)+0.590000), 3.00000).*(STATES(:,1)+81.9000))./(1.00000+exp(( 1.39300.*(STATES(:,1)+81.9000+3.60000))./CONSTANTS(:,54)));
ALGEBRAIC(:,59) = exp(( - CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54)));
ALGEBRAIC(:,54) = 1.00000+ (CONSTANTS(:,33)./CONSTANTS(:,32)).*(1.00000+exp(( CONSTANTS(:,23).*STATES(:,1))./CONSTANTS(:,54)))+CONSTANTS(:,34)./CONSTANTS(:,30)+power(CONSTANTS(:,34), 2.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31))+power(CONSTANTS(:,34), 3.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31).*CONSTANTS(:,29));
ALGEBRAIC(:,56) = ( (power(CONSTANTS(:,34), 2.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31))+power(CONSTANTS(:,34), 3.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31).*CONSTANTS(:,29))).*exp(( - CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54))))./ALGEBRAIC(:,54);
ALGEBRAIC(:,57) = ( (CONSTANTS(:,33)./CONSTANTS(:,32)).*exp(( - CONSTANTS(:,23).*STATES(:,1))./CONSTANTS(:,54)))./ALGEBRAIC(:,54);
ALGEBRAIC(:,55) = exp(( CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54)));
ALGEBRAIC(:,62) = ALGEBRAIC(:,59).*CONSTANTS(:,55).*(ALGEBRAIC(:,56)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,57).*ALGEBRAIC(:,55).*(CONSTANTS(:,59)+ALGEBRAIC(:,59));
ALGEBRAIC(:,58) = 1.00000+ (STATES(:,6)./CONSTANTS(:,24)).*(1.00000+exp(( - CONSTANTS(:,21).*STATES(:,1))./CONSTANTS(:,54))+CONSTANTS(:,19)./CONSTANTS(:,28))+CONSTANTS(:,19)./CONSTANTS(:,25)+power(CONSTANTS(:,19), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(CONSTANTS(:,19), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27));
ALGEBRAIC(:,61) = ( (STATES(:,6)./CONSTANTS(:,24)).*exp(( - CONSTANTS(:,21).*STATES(:,1))./CONSTANTS(:,54)))./ALGEBRAIC(:,58);
ALGEBRAIC(:,60) = ( (power(CONSTANTS(:,19), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(CONSTANTS(:,19), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27))).*exp(( CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54))))./ALGEBRAIC(:,58);
ALGEBRAIC(:,63) = ALGEBRAIC(:,55).*CONSTANTS(:,59).*(ALGEBRAIC(:,60)+ALGEBRAIC(:,61))+ ALGEBRAIC(:,59).*ALGEBRAIC(:,61).*(CONSTANTS(:,55)+ALGEBRAIC(:,55));
ALGEBRAIC(:,64) = ALGEBRAIC(:,60).*CONSTANTS(:,59).*(ALGEBRAIC(:,56)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,61).*ALGEBRAIC(:,56).*(CONSTANTS(:,59)+ALGEBRAIC(:,59));
ALGEBRAIC(:,65) = ALGEBRAIC(:,56).*CONSTANTS(:,55).*(ALGEBRAIC(:,60)+ALGEBRAIC(:,61))+ ALGEBRAIC(:,60).*ALGEBRAIC(:,57).*(CONSTANTS(:,55)+ALGEBRAIC(:,55));
ALGEBRAIC(:,66) = ( CONSTANTS(:,20).*( ALGEBRAIC(:,63).*ALGEBRAIC(:,57) - ALGEBRAIC(:,62).*ALGEBRAIC(:,61)))./(ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64)+ALGEBRAIC(:,65));
ALGEBRAIC(:,53) = ( CONSTANTS(:,18).*power(CONSTANTS(:,19)./(5.64000+CONSTANTS(:,19)), 3.00000).*power(CONSTANTS(:,14)./(0.621000+CONSTANTS(:,14)), 2.00000).*1.60000)./(1.50000+exp( - (STATES(:,1)+60.0000)./40.0000));
ALGEBRAIC(:,52) = CONSTANTS(:,16).*(STATES(:,1) - CONSTANTS(:,17));
ALGEBRAIC(:,18) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
RATES(:,1) = - (ALGEBRAIC(:,67)+ALGEBRAIC(:,72)+ALGEBRAIC(:,68)+ALGEBRAIC(:,43)+ALGEBRAIC(:,35)+ALGEBRAIC(:,69)+ALGEBRAIC(:,51)+ALGEBRAIC(:,66)+ALGEBRAIC(:,53)+ALGEBRAIC(:,52)+ALGEBRAIC(:,71)+ALGEBRAIC(:,18))./CONSTANTS(:,4);
ALGEBRAIC(:,74) = 5.00000./(1.00000+CONSTANTS(:,52)./STATES(:,20));
ALGEBRAIC(:,75) = (STATES(:,21) - STATES(:,22))./CONSTANTS(:,53);
RATES(:,21) = ALGEBRAIC(:,74) - ( ALGEBRAIC(:,75).*CONSTANTS(:,61))./CONSTANTS(:,60);
ALGEBRAIC(:,76) = 88800.0.*STATES(:,20).*(1.00000 - STATES(:,23)) - 446.000.*STATES(:,23);
RATES(:,23) = ALGEBRAIC(:,76);
ALGEBRAIC(:,78) = 227700..*STATES(:,20).*((1.00000 - STATES(:,24)) - STATES(:,25)) - 7.51000.*STATES(:,24);
RATES(:,24) = ALGEBRAIC(:,78);
ALGEBRAIC(:,77) = ( CONSTANTS(:,51).*(STATES(:,22) - STATES(:,6)))./(1.00000+power(0.00120000./STATES(:,6), 2.00000));
ALGEBRAIC(:,81) = 534.000.*STATES(:,22).*(1.00000 - STATES(:,28)) - 445.000.*STATES(:,28);
RATES(:,22) = (ALGEBRAIC(:,75) - ALGEBRAIC(:,77)) - 10.0000.*ALGEBRAIC(:,81);
ALGEBRAIC(:,73) = (STATES(:,6) - STATES(:,20))./4.00000e-05;
ALGEBRAIC(:,79) = 227700..*STATES(:,20).*(1.00000 - STATES(:,26)) - 542.000.*STATES(:,26);
RATES(:,20) = ( ALGEBRAIC(:,73).*CONSTANTS(:,62) - ALGEBRAIC(:,74).*CONSTANTS(:,60))./CONSTANTS(:,63) - ( 0.0450000.*ALGEBRAIC(:,79)+ 0.0310000.*ALGEBRAIC(:,76)+ 0.0620000.*ALGEBRAIC(:,78));
RATES(:,26) = ALGEBRAIC(:,79);
ALGEBRAIC(:,80) = 227700..*STATES(:,6).*(1.00000 - STATES(:,27)) - 542.000.*STATES(:,27);
RATES(:,27) = ALGEBRAIC(:,80);
RATES(:,28) = ALGEBRAIC(:,81);
ALGEBRAIC(:,82) = 0.00100000.*( 115.000.*STATES(:,6).*(1.00000 - STATES(:,29)) - 1000.00.*STATES(:,29));
RATES(:,6) = ((( - (ALGEBRAIC(:,72) - 2.00000.*ALGEBRAIC(:,66))./( 2.00000.*CONSTANTS(:,3))+ ALGEBRAIC(:,77).*CONSTANTS(:,61))./CONSTANTS(:,62) - ALGEBRAIC(:,73)) - 0.0450000.*ALGEBRAIC(:,80)) - (0.0310000./1.20000).*ALGEBRAIC(:,82);
RATES(:,29) = ALGEBRAIC(:,82);
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(:,16) = 120.000./(1.00000+exp( - (STATES(:,1)+50.0000)./15.0000));
ALGEBRAIC(:,17) = 5.82000./(1.00000+exp( - (STATES(:,1)+50.0000)./15.0000));
ALGEBRAIC(:,19) = 2277.00.*2.50000.*((1.00000 - STATES(:,24)) - STATES(:,25)) - 751.000.*STATES(:,25);
ALGEBRAIC(:,1) = 1.00000./(1.00000+exp(((STATES(:,1)+83.1900) - ( - 7.20000.*power(CONSTANTS(:,11), 0.690000))./(power(1.26000e-05, 0.690000)+power(CONSTANTS(:,11), 0.690000)))./13.5600));
ALGEBRAIC(:,20) = 0.250000+ 2.00000.*exp( - power(STATES(:,1)+70.0000, 2.00000)./500.000);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+10.2200)./ - 8.50000));
ALGEBRAIC(:,21) = 1.00000./( 17.0000.*exp( 0.0398000.*STATES(:,1))+ 0.211000.*exp( - 0.0510000.*STATES(:,1)));
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+10.2200)./ - 8.50000));
ALGEBRAIC(:,22) = 0.335810+ 0.906730.*exp( - power(STATES(:,1)+10.0000, 2.00000)./988.050);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1) - ( - 24.0000+CONSTANTS(:,41)))./6.31000));
ALGEBRAIC(:,28) = 0.0100000+ 0.153900.*exp( - power(STATES(:,1)+40.0000, 2.00000)./185.670);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1) - ( - 24.0000+CONSTANTS(:,42)))./6.31000));
ALGEBRAIC(:,29) = 0.0600000+ 0.480760.*2.25000.*exp( - power(STATES(:,1) - - 40.0000, 2.00000)./138.040);
ALGEBRAIC(:,30) = 0.000596000+0.00311800./( 1.03700.*exp( 0.0900000.*(STATES(:,1)+30.6100))+ 0.396000.*exp( - 0.120000.*(STATES(:,1)+23.8400)));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1) - 7.44000)./ - 16.4000));
ALGEBRAIC(:,31) = 0.0126600+4.72716./(1.00000+exp((STATES(:,1)+154.500)./23.9600));
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+33.8000)./6.12000));
ALGEBRAIC(:,32) = 0.100000+ 4.00000.*exp( - power(STATES(:,1)+65.0000, 2.00000)./500.000);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+33.8000)./6.12000));
ALGEBRAIC(:,5) = STATES(:,1)+44.4000;
ALGEBRAIC(:,24) = piecewise({abs(ALGEBRAIC(:,5))<CONSTANTS(:,36), ( - 460.000.* - 12.6730)./exp(ALGEBRAIC(:,5)./ - 12.6730) }, ( - 460.000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./ - 12.6730) - 1.00000));
ALGEBRAIC(:,37) = 18400.0.*exp(ALGEBRAIC(:,5)./ - 12.6730);
ALGEBRAIC(:,4) = (1.00000./(1.00000+exp((STATES(:,1)+4.90000)./15.1400))).*(1.00000 - 0.300000.*exp( - power(STATES(:,1), 2.00000)./500.000));
ALGEBRAIC(:,23) = 92.0100.*exp( - 0.0183000.*STATES(:,1));
ALGEBRAIC(:,36) = 603.600.*exp( 0.00942000.*STATES(:,1));
ALGEBRAIC(:,44) = 1.00000./(ALGEBRAIC(:,23)+ALGEBRAIC(:,36));
ALGEBRAIC(:,6) = 44.9000.*exp((STATES(:,1)+66.9000)./ - 5.57000);
ALGEBRAIC(:,25) = 1491.00./(1.00000+ 323.300.*exp((STATES(:,1)+94.6000)./ - 12.9000));
ALGEBRAIC(:,38) = ALGEBRAIC(:,6)./(ALGEBRAIC(:,6)+ALGEBRAIC(:,25));
ALGEBRAIC(:,45) = 0.0300000./(1.00000+exp((STATES(:,1)+40.0000)./6.00000))+0.000350000;
ALGEBRAIC(:,7) = 44.9000.*exp((STATES(:,1)+66.9000)./ - 5.57000);
ALGEBRAIC(:,26) = 1491.00./(1.00000+ 323.300.*exp((STATES(:,1)+94.6000)./ - 12.9000));
ALGEBRAIC(:,39) = ALGEBRAIC(:,7)./(ALGEBRAIC(:,7)+ALGEBRAIC(:,26));
ALGEBRAIC(:,46) = 0.120000./(1.00000+exp((STATES(:,1)+60.0000)./2.00000))+0.00295000;
ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,1) - ( - 3.20000+CONSTANTS(:,39)))./CONSTANTS(:,40)));
ALGEBRAIC(:,8) = ( - 26.1200.*(STATES(:,1)+35.0000))./(exp((STATES(:,1)+35.0000)./ - 2.50000) - 1.00000)+( - 78.1100.*STATES(:,1))./(exp( - 0.208000.*STATES(:,1)) - 1.00000);
ALGEBRAIC(:,27) = ( 10.5200.*(STATES(:,1) - 5.00000))./(exp( 0.400000.*(STATES(:,1) - 5.00000)) - 1.00000);
ALGEBRAIC(:,47) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,27));
ALGEBRAIC(:,33) = 1.00000./( 0.150000.*exp( - STATES(:,1)./11.0000)+ 0.200000.*exp( - STATES(:,1)./700.000));
ALGEBRAIC(:,41) = 1.00000./( 16.0000.*exp(STATES(:,1)./8.00000)+ 15.0000.*exp(STATES(:,1)./50.0000));
ALGEBRAIC(:,48) = 0.00100000./(ALGEBRAIC(:,33)+ALGEBRAIC(:,41));
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1) - - 49.1000)./ - 8.98000));
ALGEBRAIC(:,15) = 0.150400./( 3100.00.*exp(STATES(:,1)./13.0000)+ 700.000.*exp(STATES(:,1)./70.0000));
ALGEBRAIC(:,34) = 0.150400./( 95.0000.*exp( - STATES(:,1)./10.0000)+ 50.0000.*exp( - STATES(:,1)./700.000))+0.000229000./(1.00000+exp( - STATES(:,1)./5.00000));
ALGEBRAIC(:,49) = 0.00100000./(ALGEBRAIC(:,15)+ALGEBRAIC(:,34));
ALGEBRAIC(:,42) = ALGEBRAIC(:,15)./(ALGEBRAIC(:,15)+ALGEBRAIC(:,34));
ALGEBRAIC(:,67) = ( (( CONSTANTS(:,35).*power(STATES(:,7), 3.00000).*( 0.635000.*STATES(:,8)+ 0.365000.*STATES(:,9)).*CONSTANTS(:,34).*STATES(:,1).*CONSTANTS(:,3))./CONSTANTS(:,54)).*(exp((STATES(:,1) - CONSTANTS(:,57))./CONSTANTS(:,54)) - 1.00000))./(exp(STATES(:,1)./CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,70) = ( CONSTANTS(:,46).*STATES(:,18).*STATES(:,19).*power(CONSTANTS(:,11), 1.50000))./(power(CONSTANTS(:,47), 1.50000)+power(CONSTANTS(:,11), 1.50000));
ALGEBRAIC(:,71) = ( (( ALGEBRAIC(:,70).*CONSTANTS(:,14))./(10.0000+CONSTANTS(:,14))).*(STATES(:,1) - CONSTANTS(:,56)))./(1.00000+exp(((STATES(:,1) - CONSTANTS(:,56)) - 140.000)./( 2.50000.*CONSTANTS(:,54))));
ALGEBRAIC(:,72) = CONSTANTS(:,37).*STATES(:,10).*( 0.675000.*STATES(:,11)+ 0.325000.*STATES(:,12)).*(STATES(:,1) - CONSTANTS(:,38)).*(1.00000 - (( ALGEBRAIC(:,71).*CONSTANTS(:,11))./(9.00000e-05+CONSTANTS(:,11)))./1.00000);
ALGEBRAIC(:,68) = CONSTANTS(:,43).*STATES(:,13).*( 0.450000.*STATES(:,14)+ 0.550000.*STATES(:,15)).*(STATES(:,1) - CONSTANTS(:,58));
ALGEBRAIC(:,43) = CONSTANTS(:,12).*( 0.900000.*STATES(:,3)+ 0.100000.*STATES(:,4)).*STATES(:,5).*(STATES(:,1) - CONSTANTS(:,56));
ALGEBRAIC(:,35) = STATES(:,2).*CONSTANTS(:,10).*(STATES(:,1) - - 30.0000);
ALGEBRAIC(:,69) = CONSTANTS(:,45).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - CONSTANTS(:,44));
ALGEBRAIC(:,50) = CONSTANTS(:,15).*(0.500000+0.500000./(1.00000+exp((STATES(:,1)+30.0000)./5.00000)));
ALGEBRAIC(:,51) = ( ALGEBRAIC(:,50).*power(CONSTANTS(:,14)./(CONSTANTS(:,14)+0.590000), 3.00000).*(STATES(:,1)+81.9000))./(1.00000+exp(( 1.39300.*(STATES(:,1)+81.9000+3.60000))./CONSTANTS(:,54)));
ALGEBRAIC(:,59) = exp(( - CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54)));
ALGEBRAIC(:,54) = 1.00000+ (CONSTANTS(:,33)./CONSTANTS(:,32)).*(1.00000+exp(( CONSTANTS(:,23).*STATES(:,1))./CONSTANTS(:,54)))+CONSTANTS(:,34)./CONSTANTS(:,30)+power(CONSTANTS(:,34), 2.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31))+power(CONSTANTS(:,34), 3.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31).*CONSTANTS(:,29));
ALGEBRAIC(:,56) = ( (power(CONSTANTS(:,34), 2.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31))+power(CONSTANTS(:,34), 3.00000)./( CONSTANTS(:,30).*CONSTANTS(:,31).*CONSTANTS(:,29))).*exp(( - CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54))))./ALGEBRAIC(:,54);
ALGEBRAIC(:,57) = ( (CONSTANTS(:,33)./CONSTANTS(:,32)).*exp(( - CONSTANTS(:,23).*STATES(:,1))./CONSTANTS(:,54)))./ALGEBRAIC(:,54);
ALGEBRAIC(:,55) = exp(( CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54)));
ALGEBRAIC(:,62) = ALGEBRAIC(:,59).*CONSTANTS(:,55).*(ALGEBRAIC(:,56)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,57).*ALGEBRAIC(:,55).*(CONSTANTS(:,59)+ALGEBRAIC(:,59));
ALGEBRAIC(:,58) = 1.00000+ (STATES(:,6)./CONSTANTS(:,24)).*(1.00000+exp(( - CONSTANTS(:,21).*STATES(:,1))./CONSTANTS(:,54))+CONSTANTS(:,19)./CONSTANTS(:,28))+CONSTANTS(:,19)./CONSTANTS(:,25)+power(CONSTANTS(:,19), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(CONSTANTS(:,19), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27));
ALGEBRAIC(:,61) = ( (STATES(:,6)./CONSTANTS(:,24)).*exp(( - CONSTANTS(:,21).*STATES(:,1))./CONSTANTS(:,54)))./ALGEBRAIC(:,58);
ALGEBRAIC(:,60) = ( (power(CONSTANTS(:,19), 2.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26))+power(CONSTANTS(:,19), 3.00000)./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27))).*exp(( CONSTANTS(:,22).*STATES(:,1))./( 2.00000.*CONSTANTS(:,54))))./ALGEBRAIC(:,58);
ALGEBRAIC(:,63) = ALGEBRAIC(:,55).*CONSTANTS(:,59).*(ALGEBRAIC(:,60)+ALGEBRAIC(:,61))+ ALGEBRAIC(:,59).*ALGEBRAIC(:,61).*(CONSTANTS(:,55)+ALGEBRAIC(:,55));
ALGEBRAIC(:,64) = ALGEBRAIC(:,60).*CONSTANTS(:,59).*(ALGEBRAIC(:,56)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,61).*ALGEBRAIC(:,56).*(CONSTANTS(:,59)+ALGEBRAIC(:,59));
ALGEBRAIC(:,65) = ALGEBRAIC(:,56).*CONSTANTS(:,55).*(ALGEBRAIC(:,60)+ALGEBRAIC(:,61))+ ALGEBRAIC(:,60).*ALGEBRAIC(:,57).*(CONSTANTS(:,55)+ALGEBRAIC(:,55));
ALGEBRAIC(:,66) = ( CONSTANTS(:,20).*( ALGEBRAIC(:,63).*ALGEBRAIC(:,57) - ALGEBRAIC(:,62).*ALGEBRAIC(:,61)))./(ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64)+ALGEBRAIC(:,65));
ALGEBRAIC(:,53) = ( CONSTANTS(:,18).*power(CONSTANTS(:,19)./(5.64000+CONSTANTS(:,19)), 3.00000).*power(CONSTANTS(:,14)./(0.621000+CONSTANTS(:,14)), 2.00000).*1.60000)./(1.50000+exp( - (STATES(:,1)+60.0000)./40.0000));
ALGEBRAIC(:,52) = CONSTANTS(:,16).*(STATES(:,1) - CONSTANTS(:,17));
ALGEBRAIC(:,18) = 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(:,74) = 5.00000./(1.00000+CONSTANTS(:,52)./STATES(:,20));
ALGEBRAIC(:,75) = (STATES(:,21) - STATES(:,22))./CONSTANTS(:,53);
ALGEBRAIC(:,76) = 88800.0.*STATES(:,20).*(1.00000 - STATES(:,23)) - 446.000.*STATES(:,23);
ALGEBRAIC(:,78) = 227700..*STATES(:,20).*((1.00000 - STATES(:,24)) - STATES(:,25)) - 7.51000.*STATES(:,24);
ALGEBRAIC(:,77) = ( CONSTANTS(:,51).*(STATES(:,22) - STATES(:,6)))./(1.00000+power(0.00120000./STATES(:,6), 2.00000));
ALGEBRAIC(:,81) = 534.000.*STATES(:,22).*(1.00000 - STATES(:,28)) - 445.000.*STATES(:,28);
ALGEBRAIC(:,73) = (STATES(:,6) - STATES(:,20))./4.00000e-05;
ALGEBRAIC(:,79) = 227700..*STATES(:,20).*(1.00000 - STATES(:,26)) - 542.000.*STATES(:,26);
ALGEBRAIC(:,80) = 227700..*STATES(:,6).*(1.00000 - STATES(:,27)) - 542.000.*STATES(:,27);
ALGEBRAIC(:,82) = 0.00100000.*( 115.000.*STATES(:,6).*(1.00000 - STATES(:,29)) - 1000.00.*STATES(:,29));
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