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 =76;
end
% There are a total of 29 entries in each of the rate and state variable arrays.
% There are a total of 86 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 (millisecond)');
LEGEND_STATES(:,1) = strpad('Vm in component Vm (millivolt)');
LEGEND_CONSTANTS(:,1) = strpad('Cm in component model_parameters (picoF)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_CaT in component i_CaT (picoA)');
LEGEND_ALGEBRAIC(:,15) = strpad('i_CaL in component i_CaL (picoA)');
LEGEND_ALGEBRAIC(:,50) = strpad('i_f in component i_f (picoA)');
LEGEND_ALGEBRAIC(:,51) = strpad('i_st in component i_st (picoA)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_Kr in component i_Kr (picoA)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_Ks in component i_Ks (picoA)');
LEGEND_ALGEBRAIC(:,45) = strpad('i_to in component AP_sensitive_currents (picoA)');
LEGEND_ALGEBRAIC(:,47) = strpad('i_sus in component AP_sensitive_currents (picoA)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_NaK in component i_NaK (picoA)');
LEGEND_ALGEBRAIC(:,67) = strpad('i_NaCa in component i_NaCa (picoA)');
LEGEND_ALGEBRAIC(:,54) = strpad('i_b_Ca in component i_b_Ca (picoA)');
LEGEND_ALGEBRAIC(:,52) = strpad('i_b_Na in component i_b_Na (picoA)');
LEGEND_CONSTANTS(:,76) = strpad('E_Na in component electric_potentials (millivolt)');
LEGEND_CONSTANTS(:,77) = strpad('E_K in component electric_potentials (millivolt)');
LEGEND_CONSTANTS(:,78) = strpad('E_Ks in component electric_potentials (millivolt)');
LEGEND_CONSTANTS(:,2) = strpad('R in component model_parameters (joule_per_kilomole_kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('T in component model_parameters (kelvin)');
LEGEND_CONSTANTS(:,4) = strpad('F in component model_parameters (coulomb_per_mole)');
LEGEND_CONSTANTS(:,5) = strpad('Nai in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,6) = strpad('Nao in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,7) = strpad('Ki in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,8) = strpad('Ko in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,9) = strpad('E_CaL in component i_CaL (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('g_CaL in component i_CaL (nanoS_per_picoF)');
LEGEND_STATES(:,2) = strpad('Ca_sub in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,3) = strpad('dL in component i_CaL_dL_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('fL in component i_CaL_fL_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('fCa in component i_CaL_fCa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('dL_infinity in component i_CaL_dL_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('tau_dL in component i_CaL_dL_gate (millisecond)');
LEGEND_ALGEBRAIC(:,33) = strpad('alpha_dL in component i_CaL_dL_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,44) = strpad('beta_dL in component i_CaL_dL_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,17) = strpad('adVm in component i_CaL_dL_gate (millivolt)');
LEGEND_ALGEBRAIC(:,39) = strpad('bdVm in component i_CaL_dL_gate (millivolt)');
LEGEND_ALGEBRAIC(:,2) = strpad('fL_infinity in component i_CaL_fL_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('tau_fL in component i_CaL_fL_gate (millisecond)');
LEGEND_CONSTANTS(:,11) = strpad('alpha_fCa in component i_CaL_fCa_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,3) = strpad('fCa_infinity in component i_CaL_fCa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_fCa in component i_CaL_fCa_gate (millisecond)');
LEGEND_CONSTANTS(:,12) = strpad('Km_fCa in component i_CaL_fCa_gate (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('g_CaT in component i_CaT (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,14) = strpad('E_CaT in component i_CaT (millivolt)');
LEGEND_STATES(:,6) = strpad('dT in component i_CaT_dT_gate (dimensionless)');
LEGEND_STATES(:,7) = strpad('fT in component i_CaT_fT_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('dT_infinity in component i_CaT_dT_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_dT in component i_CaT_dT_gate (millisecond)');
LEGEND_ALGEBRAIC(:,5) = strpad('fT_infinity in component i_CaT_fT_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('tau_fT in component i_CaT_fT_gate (millisecond)');
LEGEND_CONSTANTS(:,15) = strpad('g_Kr in component i_Kr (nanoS_per_picoF)');
LEGEND_STATES(:,8) = strpad('paS in component i_Kr_pa_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('paF in component i_Kr_pa_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('pi_ in component i_Kr_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('pa_infinity in component i_Kr_pa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('tau_paS in component i_Kr_pa_gate (millisecond)');
LEGEND_ALGEBRAIC(:,23) = strpad('tau_paF in component i_Kr_pa_gate (millisecond)');
LEGEND_ALGEBRAIC(:,7) = strpad('pi_infinity in component i_Kr_pi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('tau_pi in component i_Kr_pi_gate (millisecond)');
LEGEND_CONSTANTS(:,16) = strpad('g_Ks in component i_Ks (nanoS_per_picoF)');
LEGEND_STATES(:,11) = strpad('n in component i_Ks_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('n_infinity in component i_Ks_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('tau_n in component i_Ks_n_gate (millisecond)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_n in component i_Ks_n_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,25) = strpad('beta_n in component i_Ks_n_gate (per_millisecond)');
LEGEND_CONSTANTS(:,17) = strpad('g_to in component AP_sensitive_currents (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,18) = strpad('g_sus in component AP_sensitive_currents (nanoS_per_picoF)');
LEGEND_STATES(:,12) = strpad('q in component AP_sensitive_currents_q_gate (dimensionless)');
LEGEND_STATES(:,13) = strpad('r in component AP_sensitive_currents_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('q_infinity in component AP_sensitive_currents_q_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('tau_q in component AP_sensitive_currents_q_gate (millisecond)');
LEGEND_ALGEBRAIC(:,10) = strpad('r_infinity in component AP_sensitive_currents_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('tau_r in component AP_sensitive_currents_r_gate (millisecond)');
LEGEND_ALGEBRAIC(:,48) = strpad('i_f_Na in component i_f (picoA)');
LEGEND_ALGEBRAIC(:,49) = strpad('i_f_K in component i_f (picoA)');
LEGEND_CONSTANTS(:,19) = strpad('g_if in component i_f (nanoS_per_picoF)');
LEGEND_STATES(:,14) = strpad('y in component i_f_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('y_infinity in component i_f_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('tau_y in component i_f_y_gate (millisecond)');
LEGEND_CONSTANTS(:,20) = strpad('VIf_half in component i_f_y_gate (millivolt)');
LEGEND_CONSTANTS(:,21) = strpad('g_st in component i_st (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,22) = strpad('E_st in component i_st (millivolt)');
LEGEND_STATES(:,15) = strpad('qa in component i_st_qa_gate (dimensionless)');
LEGEND_STATES(:,16) = strpad('qi in component i_st_qi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('qa_infinity in component i_st_qa_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('tau_qa in component i_st_qa_gate (millisecond)');
LEGEND_ALGEBRAIC(:,29) = strpad('alpha_qa in component i_st_qa_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,35) = strpad('beta_qa in component i_st_qa_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,36) = strpad('qi_infinity in component i_st_qi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('tau_qi in component i_st_qi_gate (millisecond)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_qi in component i_st_qi_gate (per_millisecond)');
LEGEND_ALGEBRAIC(:,30) = strpad('beta_qi in component i_st_qi_gate (per_millisecond)');
LEGEND_CONSTANTS(:,23) = strpad('g_b_Na in component i_b_Na (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,24) = strpad('Km_Kp in component i_NaK (millimolar)');
LEGEND_CONSTANTS(:,25) = strpad('Km_Nap in component i_NaK (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('i_NaK_max in component i_NaK (picoA_per_picoF)');
LEGEND_CONSTANTS(:,27) = strpad('g_b_Ca in component i_b_Ca (nanoS_per_picoF)');
LEGEND_CONSTANTS(:,28) = strpad('kNaCa in component i_NaCa (picoA_per_picoF)');
LEGEND_ALGEBRAIC(:,64) = strpad('x1 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,60) = strpad('x2 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('x3 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('x4 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('k41 in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,81) = strpad('k34 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,63) = strpad('k23 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,62) = strpad('k21 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('k32 in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,80) = strpad('k43 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('k12 in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('k14 in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('Qci in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('Qn in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('Qco in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('K3ni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('Kci in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('K1ni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('K2ni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,36) = strpad('Kcni in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('K3no in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K1no in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('K2no in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('Kco in component i_NaCa (millimolar)');
LEGEND_CONSTANTS(:,79) = strpad('RTOnF in component i_NaCa (millivolt)');
LEGEND_ALGEBRAIC(:,61) = strpad('do in component i_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('di in component i_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('Cao in component model_parameters (millimolar)');
LEGEND_ALGEBRAIC(:,68) = strpad('j_SRCarel in component j_SRCarel (millimolar_per_millisecond)');
LEGEND_STATES(:,17) = strpad('R in component j_SRCarel (dimensionless)');
LEGEND_STATES(:,18) = strpad('O in component j_SRCarel (dimensionless)');
LEGEND_STATES(:,19) = strpad('I in component j_SRCarel (dimensionless)');
LEGEND_STATES(:,20) = strpad('RI in component j_SRCarel (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('ks in component j_SRCarel (per_millisecond)');
LEGEND_CONSTANTS(:,43) = strpad('MaxSR in component j_SRCarel (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('MinSR in component j_SRCarel (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('EC50_SR in component j_SRCarel (millimolar)');
LEGEND_CONSTANTS(:,46) = strpad('HSR in component j_SRCarel (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('koSRCa in component j_SRCarel (per_millimolar2_millisecond)');
LEGEND_ALGEBRAIC(:,37) = strpad('kiSRCa in component j_SRCarel (per_millimolar_millisecond)');
LEGEND_CONSTANTS(:,47) = strpad('koCa in component j_SRCarel (per_millimolar2_millisecond)');
LEGEND_CONSTANTS(:,48) = strpad('kiCa in component j_SRCarel (per_millimolar_millisecond)');
LEGEND_ALGEBRAIC(:,14) = strpad('kCaSR in component j_SRCarel (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('kim in component j_SRCarel (per_millisecond)');
LEGEND_CONSTANTS(:,50) = strpad('kom in component j_SRCarel (per_millisecond)');
LEGEND_STATES(:,21) = strpad('Ca_jsr in component calcium_dynamics (millimolar)');
LEGEND_ALGEBRAIC(:,69) = strpad('j_Ca_dif in component intracellular_calcium_fluxes (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,71) = strpad('j_up in component intracellular_calcium_fluxes (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,73) = strpad('j_tr in component intracellular_calcium_fluxes (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,51) = strpad('tau_dif_Ca in component intracellular_calcium_fluxes (millisecond)');
LEGEND_CONSTANTS(:,52) = strpad('tau_tr in component intracellular_calcium_fluxes (millisecond)');
LEGEND_CONSTANTS(:,53) = strpad('P_up in component intracellular_calcium_fluxes (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,54) = strpad('K_up in component intracellular_calcium_fluxes (millimolar)');
LEGEND_STATES(:,22) = strpad('Ca_nsr in component calcium_dynamics (millimolar)');
LEGEND_STATES(:,23) = strpad('Cai in component calcium_dynamics (millimolar)');
LEGEND_CONSTANTS(:,55) = strpad('TC_tot in component calcium_buffering (millimolar)');
LEGEND_CONSTANTS(:,56) = strpad('TMC_tot in component calcium_buffering (millimolar)');
LEGEND_CONSTANTS(:,57) = strpad('CM_tot in component calcium_buffering (millimolar)');
LEGEND_CONSTANTS(:,58) = strpad('CQ_tot in component calcium_buffering (millimolar)');
LEGEND_ALGEBRAIC(:,72) = strpad('delta_fTC in component calcium_buffering (per_millisecond)');
LEGEND_ALGEBRAIC(:,74) = strpad('delta_fTMC in component calcium_buffering (per_millisecond)');
LEGEND_ALGEBRAIC(:,70) = strpad('delta_fCMs in component calcium_buffering (per_millisecond)');
LEGEND_ALGEBRAIC(:,76) = strpad('delta_fCMi in component calcium_buffering (per_millisecond)');
LEGEND_ALGEBRAIC(:,75) = strpad('delta_fCQ in component calcium_buffering (per_millisecond)');
LEGEND_ALGEBRAIC(:,16) = strpad('delta_fTMM in component calcium_buffering (per_millisecond)');
LEGEND_STATES(:,24) = strpad('fTMM in component calcium_buffering (dimensionless)');
LEGEND_STATES(:,25) = strpad('fCMi in component calcium_buffering (dimensionless)');
LEGEND_STATES(:,26) = strpad('fCMs in component calcium_buffering (dimensionless)');
LEGEND_STATES(:,27) = strpad('fTC in component calcium_buffering (dimensionless)');
LEGEND_STATES(:,28) = strpad('fTMC in component calcium_buffering (dimensionless)');
LEGEND_STATES(:,29) = strpad('fCQ in component calcium_buffering (dimensionless)');
LEGEND_CONSTANTS(:,59) = strpad('kf_TC in component calcium_buffering (per_millimolar_millisecond)');
LEGEND_CONSTANTS(:,60) = strpad('kf_TMM in component calcium_buffering (per_millimolar_millisecond)');
LEGEND_CONSTANTS(:,61) = strpad('kf_TMC in component calcium_buffering (per_millimolar_millisecond)');
LEGEND_CONSTANTS(:,62) = strpad('kf_CM in component calcium_buffering (per_millimolar_millisecond)');
LEGEND_CONSTANTS(:,63) = strpad('kf_CQ in component calcium_buffering (per_millimolar_millisecond)');
LEGEND_CONSTANTS(:,64) = strpad('kb_TC in component calcium_buffering (per_millisecond)');
LEGEND_CONSTANTS(:,65) = strpad('kb_TMC in component calcium_buffering (per_millisecond)');
LEGEND_CONSTANTS(:,66) = strpad('kb_TMM in component calcium_buffering (per_millisecond)');
LEGEND_CONSTANTS(:,67) = strpad('kb_CM in component calcium_buffering (per_millisecond)');
LEGEND_CONSTANTS(:,68) = strpad('kb_CQ in component calcium_buffering (per_millisecond)');
LEGEND_CONSTANTS(:,69) = strpad('Mgi in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,85) = strpad('V_i in component model_parameters (picolitre)');
LEGEND_CONSTANTS(:,84) = strpad('V_jsr in component model_parameters (picolitre)');
LEGEND_CONSTANTS(:,86) = strpad('V_nsr in component model_parameters (picolitre)');
LEGEND_CONSTANTS(:,83) = strpad('V_sub in component model_parameters (picolitre)');
LEGEND_CONSTANTS(:,82) = strpad('V_cell in component model_parameters (picolitre)');
LEGEND_CONSTANTS(:,70) = strpad('V_jsr_part in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,71) = strpad('V_i_part in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,72) = strpad('V_nsr_part in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,73) = strpad('R_cell in component model_parameters (micrometre)');
LEGEND_CONSTANTS(:,74) = strpad('L_cell in component model_parameters (micrometre)');
LEGEND_CONSTANTS(:,75) = strpad('L_sub in component model_parameters (micrometre)');
LEGEND_RATES(:,1) = strpad('d/dt Vm in component Vm (millivolt)');
LEGEND_RATES(:,3) = strpad('d/dt dL in component i_CaL_dL_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt fL in component i_CaL_fL_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt fCa in component i_CaL_fCa_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt dT in component i_CaT_dT_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt fT in component i_CaT_fT_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt paS in component i_Kr_pa_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt paF in component i_Kr_pa_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt pi_ in component i_Kr_pi_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt n in component i_Ks_n_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt q in component AP_sensitive_currents_q_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt r in component AP_sensitive_currents_r_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt y in component i_f_y_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt qa in component i_st_qa_gate (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt qi in component i_st_qi_gate (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt R in component j_SRCarel (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt O in component j_SRCarel (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt I in component j_SRCarel (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt RI in component j_SRCarel (dimensionless)');
LEGEND_RATES(:,27) = strpad('d/dt fTC in component calcium_buffering (dimensionless)');
LEGEND_RATES(:,28) = strpad('d/dt fTMC in component calcium_buffering (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt fTMM in component calcium_buffering (dimensionless)');
LEGEND_RATES(:,25) = strpad('d/dt fCMi in component calcium_buffering (dimensionless)');
LEGEND_RATES(:,26) = strpad('d/dt fCMs in component calcium_buffering (dimensionless)');
LEGEND_RATES(:,29) = strpad('d/dt fCQ in component calcium_buffering (dimensionless)');
LEGEND_RATES(:,23) = strpad('d/dt Cai in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt Ca_sub in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,22) = strpad('d/dt Ca_nsr in component calcium_dynamics (millimolar)');
LEGEND_RATES(:,21) = strpad('d/dt Ca_jsr in component calcium_dynamics (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) = -65;
CONSTANTS(:,1) = 32;
CONSTANTS(:,2) = 8314.4;
CONSTANTS(:,3) = 310.15;
CONSTANTS(:,4) = 96485;
CONSTANTS(:,5) = 10;
CONSTANTS(:,6) = 140;
CONSTANTS(:,7) = 140;
CONSTANTS(:,8) = 5.4;
CONSTANTS(:,9) = 45;
CONSTANTS(:,10) = 0.464;
STATES(:,2) = 0.000223;
STATES(:,3) = 0;
STATES(:,4) = 1;
STATES(:,5) = 1;
CONSTANTS(:,11) = 0.021;
CONSTANTS(:,12) = 0.00035;
CONSTANTS(:,13) = 0.1832;
CONSTANTS(:,14) = 45;
STATES(:,6) = 0;
STATES(:,7) = 1;
CONSTANTS(:,15) = 0.08113973;
STATES(:,8) = 0;
STATES(:,9) = 0;
STATES(:,10) = 1;
CONSTANTS(:,16) = 0.0259;
STATES(:,11) = 0;
CONSTANTS(:,17) = 0.252;
CONSTANTS(:,18) = 0.02;
STATES(:,12) = 1;
STATES(:,13) = 0;
CONSTANTS(:,19) = 0.15;
STATES(:,14) = 1;
CONSTANTS(:,20) = -64;
CONSTANTS(:,21) = 0.003;
CONSTANTS(:,22) = 37.4;
STATES(:,15) = 0;
STATES(:,16) = 1;
CONSTANTS(:,23) = 0.00486;
CONSTANTS(:,24) = 1.4;
CONSTANTS(:,25) = 14;
CONSTANTS(:,26) = 2.88;
CONSTANTS(:,27) = 0.0006;
CONSTANTS(:,28) = 187.5;
CONSTANTS(:,29) = 0.1369;
CONSTANTS(:,30) = 0.4315;
CONSTANTS(:,31) = 0;
CONSTANTS(:,32) = 26.44;
CONSTANTS(:,33) = 0.0207;
CONSTANTS(:,34) = 395.3;
CONSTANTS(:,35) = 2.289;
CONSTANTS(:,36) = 26.44;
CONSTANTS(:,37) = 4.663;
CONSTANTS(:,38) = 1628;
CONSTANTS(:,39) = 561.4;
CONSTANTS(:,40) = 3.663;
CONSTANTS(:,41) = 2;
STATES(:,17) = 0.7499955;
STATES(:,18) = 3.4e-6;
STATES(:,19) = 1.1e-6;
STATES(:,20) = 0.25;
CONSTANTS(:,42) = 250000;
CONSTANTS(:,43) = 15;
CONSTANTS(:,44) = 1;
CONSTANTS(:,45) = 0.45;
CONSTANTS(:,46) = 2.5;
CONSTANTS(:,47) = 10;
CONSTANTS(:,48) = 0.5;
CONSTANTS(:,49) = 0.005;
CONSTANTS(:,50) = 0.06;
STATES(:,21) = 0.029;
CONSTANTS(:,51) = 0.04;
CONSTANTS(:,52) = 40;
CONSTANTS(:,53) = 0.012;
CONSTANTS(:,54) = 0.0006;
STATES(:,22) = 1.35;
STATES(:,23) = 0.0001;
CONSTANTS(:,55) = 0.031;
CONSTANTS(:,56) = 0.062;
CONSTANTS(:,57) = 0.045;
CONSTANTS(:,58) = 10;
STATES(:,24) = 0.69;
STATES(:,25) = 0.042;
STATES(:,26) = 0.089;
STATES(:,27) = 0.02;
STATES(:,28) = 0.22;
STATES(:,29) = 0.032;
CONSTANTS(:,59) = 88.8;
CONSTANTS(:,60) = 2.277;
CONSTANTS(:,61) = 227.7;
CONSTANTS(:,62) = 227.7;
CONSTANTS(:,63) = 0.534;
CONSTANTS(:,64) = 0.446;
CONSTANTS(:,65) = 0.00751;
CONSTANTS(:,66) = 0.751;
CONSTANTS(:,67) = 0.542;
CONSTANTS(:,68) = 0.445;
CONSTANTS(:,69) = 2.5;
CONSTANTS(:,70) = 0.0012;
CONSTANTS(:,71) = 0.46;
CONSTANTS(:,72) = 0.0116;
CONSTANTS(:,73) = 4;
CONSTANTS(:,74) = 70;
CONSTANTS(:,75) = 0.02;
CONSTANTS(:,76) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4)).*log(CONSTANTS(:,6)./CONSTANTS(:,5));
CONSTANTS(:,77) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4)).*log(CONSTANTS(:,8)./CONSTANTS(:,7));
CONSTANTS(:,78) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4)).*log((CONSTANTS(:,8)+ 0.120000.*CONSTANTS(:,6))./(CONSTANTS(:,7)+ 0.120000.*CONSTANTS(:,5)));
CONSTANTS(:,79) = ( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4);
CONSTANTS(:,80) = CONSTANTS(:,5)./(CONSTANTS(:,32)+CONSTANTS(:,5));
CONSTANTS(:,81) = CONSTANTS(:,6)./(CONSTANTS(:,37)+CONSTANTS(:,6));
CONSTANTS(:,82) = 0.00100000.* pi.*power(CONSTANTS(:,73), 2.00000).*CONSTANTS(:,74);
CONSTANTS(:,83) = 0.00100000.*2.00000.* pi.*CONSTANTS(:,75).*(CONSTANTS(:,73) - CONSTANTS(:,75)./2.00000).*CONSTANTS(:,74);
CONSTANTS(:,84) = CONSTANTS(:,70).*CONSTANTS(:,82);
CONSTANTS(:,85) = CONSTANTS(:,71).*CONSTANTS(:,82) - CONSTANTS(:,83);
CONSTANTS(:,86) = CONSTANTS(:,72).*CONSTANTS(:,82);
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) = CONSTANTS(:,60).*CONSTANTS(:,69).*(1.00000 - (STATES(:,28)+STATES(:,24))) - CONSTANTS(:,66).*STATES(:,24);
RATES(:,24) = ALGEBRAIC(:,16);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+35.0000)./7.30000));
ALGEBRAIC(:,18) = 44.3000+ 257.100.*exp( - power((STATES(:,1)+32.5000)./13.9000, 2.00000));
RATES(:,4) = (ALGEBRAIC(:,2) - STATES(:,4))./ALGEBRAIC(:,18);
ALGEBRAIC(:,3) = CONSTANTS(:,12)./(CONSTANTS(:,12)+STATES(:,2));
ALGEBRAIC(:,19) = ALGEBRAIC(:,3)./CONSTANTS(:,11);
RATES(:,5) = (ALGEBRAIC(:,3) - STATES(:,5))./ALGEBRAIC(:,19);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+26.3000)./6.00000));
ALGEBRAIC(:,20) = 1.00000./( 1.06800.*exp((STATES(:,1)+26.3000)./30.0000)+ 1.06800.*exp( - (STATES(:,1)+26.3000)./30.0000));
RATES(:,6) = (ALGEBRAIC(:,4) - STATES(:,6))./ALGEBRAIC(:,20);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+61.7000)./5.60000));
ALGEBRAIC(:,21) = 1.00000./( 0.0153000.*exp( - (STATES(:,1)+61.7000)./83.3000)+ 0.0150000.*exp((STATES(:,1)+61.7000)./15.3800));
RATES(:,7) = (ALGEBRAIC(:,5) - STATES(:,7))./ALGEBRAIC(:,21);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+23.2000)./10.6000));
ALGEBRAIC(:,22) = 0.846554./( 0.00420000.*exp(STATES(:,1)./17.0000)+ 0.000150000.*exp( - STATES(:,1)./21.6000));
RATES(:,8) = (ALGEBRAIC(:,6) - STATES(:,8))./ALGEBRAIC(:,22);
ALGEBRAIC(:,23) = 0.846554./( 0.0372000.*exp(STATES(:,1)./15.9000)+ 0.000960000.*exp( - STATES(:,1)./22.5000));
RATES(:,9) = (ALGEBRAIC(:,6) - STATES(:,9))./ALGEBRAIC(:,23);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+28.6000)./17.1000));
ALGEBRAIC(:,24) = 1.00000./( 0.100000.*exp( - STATES(:,1)./54.6450)+ 0.656000.*exp(STATES(:,1)./106.157));
RATES(:,10) = (ALGEBRAIC(:,7) - STATES(:,10))./ALGEBRAIC(:,24);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+49.0000)./13.0000));
ALGEBRAIC(:,26) = 6.06000+39.1020./( 0.570000.*exp( - 0.0800000.*(STATES(:,1)+44.0000))+ 0.0650000.*exp( 0.100000.*(STATES(:,1)+45.9300)));
RATES(:,12) = (ALGEBRAIC(:,9) - STATES(:,12))./ALGEBRAIC(:,26);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 19.3000)./15.0000));
ALGEBRAIC(:,27) = 2.75352+14.4052./( 1.03700.*exp( 0.0900000.*(STATES(:,1)+30.6100))+ 0.369000.*exp( - 0.120000.*(STATES(:,1)+23.8400)));
RATES(:,13) = (ALGEBRAIC(:,10) - STATES(:,13))./ALGEBRAIC(:,27);
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,20))./13.5000));
ALGEBRAIC(:,28) = 0.716653./(exp( - (STATES(:,1)+386.900)./45.3020)+exp((STATES(:,1) - 73.0800)./19.2310));
RATES(:,14) = (ALGEBRAIC(:,11) - STATES(:,14))./ALGEBRAIC(:,28);
ALGEBRAIC(:,14) = CONSTANTS(:,43) - (CONSTANTS(:,43) - CONSTANTS(:,44))./(1.00000+power(CONSTANTS(:,45)./STATES(:,21), CONSTANTS(:,46)));
ALGEBRAIC(:,31) = CONSTANTS(:,47)./ALGEBRAIC(:,14);
ALGEBRAIC(:,37) = CONSTANTS(:,48).*ALGEBRAIC(:,14);
RATES(:,17) = ( CONSTANTS(:,49).*STATES(:,20) - ALGEBRAIC(:,37).*STATES(:,2).*STATES(:,17)) - ( ALGEBRAIC(:,31).*power(STATES(:,2), 2.00000).*STATES(:,17) - CONSTANTS(:,50).*STATES(:,18));
RATES(:,18) = ( ALGEBRAIC(:,31).*power(STATES(:,2), 2.00000).*STATES(:,17) - CONSTANTS(:,50).*STATES(:,18)) - ( ALGEBRAIC(:,37).*STATES(:,2).*STATES(:,18) - CONSTANTS(:,49).*STATES(:,19));
RATES(:,19) = ( ALGEBRAIC(:,37).*STATES(:,2).*STATES(:,18) - CONSTANTS(:,49).*STATES(:,19)) - ( CONSTANTS(:,50).*STATES(:,19) - ALGEBRAIC(:,31).*power(STATES(:,2), 2.00000).*STATES(:,20));
RATES(:,20) = ( CONSTANTS(:,50).*STATES(:,19) - ALGEBRAIC(:,31).*power(STATES(:,2), 2.00000).*STATES(:,20)) - ( CONSTANTS(:,49).*STATES(:,20) - ALGEBRAIC(:,37).*STATES(:,2).*STATES(:,17));
ALGEBRAIC(:,8) = 0.0140000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000));
ALGEBRAIC(:,25) = 0.00100000.*exp( - STATES(:,1)./45.0000);
ALGEBRAIC(:,34) = ALGEBRAIC(:,8)./(ALGEBRAIC(:,8)+ALGEBRAIC(:,25));
ALGEBRAIC(:,40) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,25));
RATES(:,11) = (ALGEBRAIC(:,34) - STATES(:,11))./ALGEBRAIC(:,40);
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp( - (STATES(:,1)+57.0000)./5.00000));
ALGEBRAIC(:,29) = 1.00000./( 0.150000.*exp( - STATES(:,1)./11.0000)+ 0.200000.*exp( - STATES(:,1)./700.000));
ALGEBRAIC(:,35) = 1.00000./( 16.0000.*exp(STATES(:,1)./8.00000)+ 15.0000.*exp(STATES(:,1)./50.0000));
ALGEBRAIC(:,41) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,35));
RATES(:,15) = (ALGEBRAIC(:,12) - STATES(:,15))./ALGEBRAIC(:,41);
ALGEBRAIC(:,13) = 1.00000./( 3100.00.*exp(STATES(:,1)./13.0000)+ 700.000.*exp(STATES(:,1)./70.0000));
ALGEBRAIC(:,30) = 1.00000./( 95.0000.*exp( - STATES(:,1)./10.0000)+ 50.0000.*exp( - STATES(:,1)./700.000))+0.000229000./(1.00000+exp( - STATES(:,1)./5.00000));
ALGEBRAIC(:,36) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,30));
ALGEBRAIC(:,42) = 6.65000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,30));
RATES(:,16) = (ALGEBRAIC(:,36) - STATES(:,16))./ALGEBRAIC(:,42);
ALGEBRAIC(:,1) = 1.00000./(1.00000+exp( - (STATES(:,1)+13.5000)./6.00000));
ALGEBRAIC(:,17) = piecewise({STATES(:,1)== - 35.0000, - 35.0000 , STATES(:,1)==0.00000, 1.00000e-05 }, STATES(:,1));
ALGEBRAIC(:,33) = ( - 0.0283900.*(ALGEBRAIC(:,17)+35.0000))./(exp( - (ALGEBRAIC(:,17)+35.0000)./2.50000) - 1.00000) - ( 0.0849000.*ALGEBRAIC(:,17))./(exp( - ALGEBRAIC(:,17)./4.80000) - 1.00000);
ALGEBRAIC(:,39) = piecewise({STATES(:,1)==5.00000, 5.00001 }, STATES(:,1));
ALGEBRAIC(:,44) = ( 0.0114300.*(ALGEBRAIC(:,39) - 5.00000))./(exp((ALGEBRAIC(:,39) - 5.00000)./2.50000) - 1.00000);
ALGEBRAIC(:,46) = 1.00000./(ALGEBRAIC(:,33)+ALGEBRAIC(:,44));
RATES(:,3) = (ALGEBRAIC(:,1) - STATES(:,3))./ALGEBRAIC(:,46);
ALGEBRAIC(:,32) = CONSTANTS(:,1).*CONSTANTS(:,13).*(STATES(:,1) - CONSTANTS(:,14)).*STATES(:,6).*STATES(:,7);
ALGEBRAIC(:,15) = CONSTANTS(:,1).*CONSTANTS(:,10).*(STATES(:,1) - CONSTANTS(:,9)).*STATES(:,3).*STATES(:,4).*STATES(:,5);
ALGEBRAIC(:,48) = CONSTANTS(:,1).*0.383300.*CONSTANTS(:,19).*(STATES(:,1) - CONSTANTS(:,76)).*power(STATES(:,14), 2.00000);
ALGEBRAIC(:,49) = CONSTANTS(:,1).*0.616700.*CONSTANTS(:,19).*(STATES(:,1) - CONSTANTS(:,77)).*power(STATES(:,14), 2.00000);
ALGEBRAIC(:,50) = ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
ALGEBRAIC(:,51) = CONSTANTS(:,1).*CONSTANTS(:,21).*(STATES(:,1) - CONSTANTS(:,22)).*STATES(:,15).*STATES(:,16);
ALGEBRAIC(:,38) = CONSTANTS(:,1).*CONSTANTS(:,15).*(STATES(:,1) - CONSTANTS(:,77)).*( 0.600000.*STATES(:,9)+ 0.400000.*STATES(:,8)).*STATES(:,10);
ALGEBRAIC(:,43) = CONSTANTS(:,1).*CONSTANTS(:,16).*(STATES(:,1) - CONSTANTS(:,78)).*power(STATES(:,11), 2.00000);
ALGEBRAIC(:,45) = CONSTANTS(:,1).*CONSTANTS(:,17).*(STATES(:,1) - CONSTANTS(:,77)).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,47) = CONSTANTS(:,1).*CONSTANTS(:,18).*(STATES(:,1) - CONSTANTS(:,77)).*STATES(:,13);
ALGEBRAIC(:,53) = ( CONSTANTS(:,1).*CONSTANTS(:,26))./( (1.00000+power(CONSTANTS(:,24)./CONSTANTS(:,8), 1.20000)).*(1.00000+power(CONSTANTS(:,25)./CONSTANTS(:,5), 1.30000)).*(1.00000+exp( - ((STATES(:,1) - CONSTANTS(:,76))+120.000)./30.0000)));
ALGEBRAIC(:,55) = exp(( - CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79)));
ALGEBRAIC(:,61) = 1.00000+ (CONSTANTS(:,41)./CONSTANTS(:,40)).*(1.00000+exp(( CONSTANTS(:,31).*STATES(:,1))./CONSTANTS(:,79)))+ (CONSTANTS(:,6)./CONSTANTS(:,38)).*(1.00000+ (CONSTANTS(:,6)./CONSTANTS(:,39)).*(1.00000+CONSTANTS(:,6)./CONSTANTS(:,37)));
ALGEBRAIC(:,63) = ( (( (CONSTANTS(:,6)./CONSTANTS(:,38)).*CONSTANTS(:,6))./CONSTANTS(:,39)).*(1.00000+CONSTANTS(:,6)./CONSTANTS(:,37)).*exp(( - CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79))))./ALGEBRAIC(:,61);
ALGEBRAIC(:,62) = ( (CONSTANTS(:,41)./CONSTANTS(:,40)).*exp(( CONSTANTS(:,31).*STATES(:,1))./CONSTANTS(:,79)))./ALGEBRAIC(:,61);
ALGEBRAIC(:,59) = exp(( CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79)));
ALGEBRAIC(:,64) = ALGEBRAIC(:,55).*CONSTANTS(:,81).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,62))+ ALGEBRAIC(:,62).*ALGEBRAIC(:,59).*(CONSTANTS(:,80)+ALGEBRAIC(:,55));
ALGEBRAIC(:,56) = 1.00000+ (STATES(:,2)./CONSTANTS(:,33)).*(1.00000+exp(( - CONSTANTS(:,29).*STATES(:,1))./CONSTANTS(:,79))+CONSTANTS(:,5)./CONSTANTS(:,36))+ (CONSTANTS(:,5)./CONSTANTS(:,34)).*(1.00000+ (CONSTANTS(:,5)./CONSTANTS(:,35)).*(1.00000+CONSTANTS(:,5)./CONSTANTS(:,32)));
ALGEBRAIC(:,57) = ( (STATES(:,2)./CONSTANTS(:,33)).*exp(( - CONSTANTS(:,29).*STATES(:,1))./CONSTANTS(:,79)))./ALGEBRAIC(:,56);
ALGEBRAIC(:,58) = ( (( (CONSTANTS(:,5)./CONSTANTS(:,34)).*CONSTANTS(:,5))./CONSTANTS(:,35)).*(1.00000+CONSTANTS(:,5)./CONSTANTS(:,32)).*exp(( CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79))))./ALGEBRAIC(:,56);
ALGEBRAIC(:,60) = ALGEBRAIC(:,59).*CONSTANTS(:,80).*(ALGEBRAIC(:,58)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,55).*ALGEBRAIC(:,57).*(CONSTANTS(:,81)+ALGEBRAIC(:,59));
ALGEBRAIC(:,65) = ALGEBRAIC(:,58).*CONSTANTS(:,80).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,62))+ ALGEBRAIC(:,57).*ALGEBRAIC(:,63).*(CONSTANTS(:,80)+ALGEBRAIC(:,55));
ALGEBRAIC(:,66) = ALGEBRAIC(:,63).*CONSTANTS(:,81).*(ALGEBRAIC(:,58)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,58).*ALGEBRAIC(:,62).*(CONSTANTS(:,81)+ALGEBRAIC(:,59));
ALGEBRAIC(:,67) = ( CONSTANTS(:,1).*CONSTANTS(:,28).*( ALGEBRAIC(:,60).*ALGEBRAIC(:,62) - ALGEBRAIC(:,64).*ALGEBRAIC(:,57)))./(ALGEBRAIC(:,64)+ALGEBRAIC(:,60)+ALGEBRAIC(:,65)+ALGEBRAIC(:,66));
ALGEBRAIC(:,54) = CONSTANTS(:,1).*CONSTANTS(:,27).*(STATES(:,1) - CONSTANTS(:,9));
ALGEBRAIC(:,52) = CONSTANTS(:,1).*CONSTANTS(:,23).*(STATES(:,1) - CONSTANTS(:,76));
RATES(:,1) = - (ALGEBRAIC(:,15)+ALGEBRAIC(:,32)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,38)+ALGEBRAIC(:,43)+ALGEBRAIC(:,45)+ALGEBRAIC(:,47)+ALGEBRAIC(:,53)+ALGEBRAIC(:,67)+ALGEBRAIC(:,54)+ALGEBRAIC(:,52))./CONSTANTS(:,1);
ALGEBRAIC(:,70) = CONSTANTS(:,62).*STATES(:,2).*(1.00000 - STATES(:,26)) - CONSTANTS(:,67).*STATES(:,26);
RATES(:,26) = ALGEBRAIC(:,70);
ALGEBRAIC(:,68) = CONSTANTS(:,42).*STATES(:,18).*(STATES(:,21) - STATES(:,2));
ALGEBRAIC(:,69) = (STATES(:,2) - STATES(:,23))./CONSTANTS(:,51);
RATES(:,2) = ( ALGEBRAIC(:,68).*CONSTANTS(:,84))./CONSTANTS(:,83) - (((ALGEBRAIC(:,15)+ALGEBRAIC(:,32)+ALGEBRAIC(:,54)) - 2.00000.*ALGEBRAIC(:,67))./( 2.00000.*CONSTANTS(:,4).*CONSTANTS(:,83))+ALGEBRAIC(:,69)+ CONSTANTS(:,57).*ALGEBRAIC(:,70));
ALGEBRAIC(:,72) = CONSTANTS(:,59).*STATES(:,23).*(1.00000 - STATES(:,27)) - CONSTANTS(:,64).*STATES(:,27);
RATES(:,27) = ALGEBRAIC(:,72);
ALGEBRAIC(:,71) = CONSTANTS(:,53)./(1.00000+CONSTANTS(:,54)./STATES(:,23));
ALGEBRAIC(:,73) = (STATES(:,22) - STATES(:,21))./CONSTANTS(:,52);
RATES(:,22) = ALGEBRAIC(:,71) - ( ALGEBRAIC(:,73).*CONSTANTS(:,84))./CONSTANTS(:,86);
ALGEBRAIC(:,74) = CONSTANTS(:,61).*STATES(:,23).*(1.00000 - (STATES(:,28)+STATES(:,24))) - CONSTANTS(:,65).*STATES(:,28);
RATES(:,28) = ALGEBRAIC(:,74);
ALGEBRAIC(:,75) = CONSTANTS(:,63).*STATES(:,21).*(1.00000 - STATES(:,29)) - CONSTANTS(:,68).*STATES(:,29);
RATES(:,29) = ALGEBRAIC(:,75);
RATES(:,21) = ALGEBRAIC(:,73) - (ALGEBRAIC(:,68)+ CONSTANTS(:,58).*ALGEBRAIC(:,75));
ALGEBRAIC(:,76) = CONSTANTS(:,62).*STATES(:,23).*(1.00000 - STATES(:,25)) - CONSTANTS(:,67).*STATES(:,25);
RATES(:,25) = ALGEBRAIC(:,76);
RATES(:,23) = ( ALGEBRAIC(:,69).*CONSTANTS(:,83) - ALGEBRAIC(:,71).*CONSTANTS(:,86))./CONSTANTS(:,85) - ( CONSTANTS(:,57).*ALGEBRAIC(:,76)+ CONSTANTS(:,55).*ALGEBRAIC(:,72)+ CONSTANTS(:,56).*ALGEBRAIC(:,74));
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) = CONSTANTS(:,60).*CONSTANTS(:,69).*(1.00000 - (STATES(:,28)+STATES(:,24))) - CONSTANTS(:,66).*STATES(:,24);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+35.0000)./7.30000));
ALGEBRAIC(:,18) = 44.3000+ 257.100.*exp( - power((STATES(:,1)+32.5000)./13.9000, 2.00000));
ALGEBRAIC(:,3) = CONSTANTS(:,12)./(CONSTANTS(:,12)+STATES(:,2));
ALGEBRAIC(:,19) = ALGEBRAIC(:,3)./CONSTANTS(:,11);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+26.3000)./6.00000));
ALGEBRAIC(:,20) = 1.00000./( 1.06800.*exp((STATES(:,1)+26.3000)./30.0000)+ 1.06800.*exp( - (STATES(:,1)+26.3000)./30.0000));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+61.7000)./5.60000));
ALGEBRAIC(:,21) = 1.00000./( 0.0153000.*exp( - (STATES(:,1)+61.7000)./83.3000)+ 0.0150000.*exp((STATES(:,1)+61.7000)./15.3800));
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+23.2000)./10.6000));
ALGEBRAIC(:,22) = 0.846554./( 0.00420000.*exp(STATES(:,1)./17.0000)+ 0.000150000.*exp( - STATES(:,1)./21.6000));
ALGEBRAIC(:,23) = 0.846554./( 0.0372000.*exp(STATES(:,1)./15.9000)+ 0.000960000.*exp( - STATES(:,1)./22.5000));
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+28.6000)./17.1000));
ALGEBRAIC(:,24) = 1.00000./( 0.100000.*exp( - STATES(:,1)./54.6450)+ 0.656000.*exp(STATES(:,1)./106.157));
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+49.0000)./13.0000));
ALGEBRAIC(:,26) = 6.06000+39.1020./( 0.570000.*exp( - 0.0800000.*(STATES(:,1)+44.0000))+ 0.0650000.*exp( 0.100000.*(STATES(:,1)+45.9300)));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 19.3000)./15.0000));
ALGEBRAIC(:,27) = 2.75352+14.4052./( 1.03700.*exp( 0.0900000.*(STATES(:,1)+30.6100))+ 0.369000.*exp( - 0.120000.*(STATES(:,1)+23.8400)));
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,20))./13.5000));
ALGEBRAIC(:,28) = 0.716653./(exp( - (STATES(:,1)+386.900)./45.3020)+exp((STATES(:,1) - 73.0800)./19.2310));
ALGEBRAIC(:,14) = CONSTANTS(:,43) - (CONSTANTS(:,43) - CONSTANTS(:,44))./(1.00000+power(CONSTANTS(:,45)./STATES(:,21), CONSTANTS(:,46)));
ALGEBRAIC(:,31) = CONSTANTS(:,47)./ALGEBRAIC(:,14);
ALGEBRAIC(:,37) = CONSTANTS(:,48).*ALGEBRAIC(:,14);
ALGEBRAIC(:,8) = 0.0140000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000));
ALGEBRAIC(:,25) = 0.00100000.*exp( - STATES(:,1)./45.0000);
ALGEBRAIC(:,34) = ALGEBRAIC(:,8)./(ALGEBRAIC(:,8)+ALGEBRAIC(:,25));
ALGEBRAIC(:,40) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,25));
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp( - (STATES(:,1)+57.0000)./5.00000));
ALGEBRAIC(:,29) = 1.00000./( 0.150000.*exp( - STATES(:,1)./11.0000)+ 0.200000.*exp( - STATES(:,1)./700.000));
ALGEBRAIC(:,35) = 1.00000./( 16.0000.*exp(STATES(:,1)./8.00000)+ 15.0000.*exp(STATES(:,1)./50.0000));
ALGEBRAIC(:,41) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,35));
ALGEBRAIC(:,13) = 1.00000./( 3100.00.*exp(STATES(:,1)./13.0000)+ 700.000.*exp(STATES(:,1)./70.0000));
ALGEBRAIC(:,30) = 1.00000./( 95.0000.*exp( - STATES(:,1)./10.0000)+ 50.0000.*exp( - STATES(:,1)./700.000))+0.000229000./(1.00000+exp( - STATES(:,1)./5.00000));
ALGEBRAIC(:,36) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,30));
ALGEBRAIC(:,42) = 6.65000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,30));
ALGEBRAIC(:,1) = 1.00000./(1.00000+exp( - (STATES(:,1)+13.5000)./6.00000));
ALGEBRAIC(:,17) = piecewise({STATES(:,1)== - 35.0000, - 35.0000 , STATES(:,1)==0.00000, 1.00000e-05 }, STATES(:,1));
ALGEBRAIC(:,33) = ( - 0.0283900.*(ALGEBRAIC(:,17)+35.0000))./(exp( - (ALGEBRAIC(:,17)+35.0000)./2.50000) - 1.00000) - ( 0.0849000.*ALGEBRAIC(:,17))./(exp( - ALGEBRAIC(:,17)./4.80000) - 1.00000);
ALGEBRAIC(:,39) = piecewise({STATES(:,1)==5.00000, 5.00001 }, STATES(:,1));
ALGEBRAIC(:,44) = ( 0.0114300.*(ALGEBRAIC(:,39) - 5.00000))./(exp((ALGEBRAIC(:,39) - 5.00000)./2.50000) - 1.00000);
ALGEBRAIC(:,46) = 1.00000./(ALGEBRAIC(:,33)+ALGEBRAIC(:,44));
ALGEBRAIC(:,32) = CONSTANTS(:,1).*CONSTANTS(:,13).*(STATES(:,1) - CONSTANTS(:,14)).*STATES(:,6).*STATES(:,7);
ALGEBRAIC(:,15) = CONSTANTS(:,1).*CONSTANTS(:,10).*(STATES(:,1) - CONSTANTS(:,9)).*STATES(:,3).*STATES(:,4).*STATES(:,5);
ALGEBRAIC(:,48) = CONSTANTS(:,1).*0.383300.*CONSTANTS(:,19).*(STATES(:,1) - CONSTANTS(:,76)).*power(STATES(:,14), 2.00000);
ALGEBRAIC(:,49) = CONSTANTS(:,1).*0.616700.*CONSTANTS(:,19).*(STATES(:,1) - CONSTANTS(:,77)).*power(STATES(:,14), 2.00000);
ALGEBRAIC(:,50) = ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
ALGEBRAIC(:,51) = CONSTANTS(:,1).*CONSTANTS(:,21).*(STATES(:,1) - CONSTANTS(:,22)).*STATES(:,15).*STATES(:,16);
ALGEBRAIC(:,38) = CONSTANTS(:,1).*CONSTANTS(:,15).*(STATES(:,1) - CONSTANTS(:,77)).*( 0.600000.*STATES(:,9)+ 0.400000.*STATES(:,8)).*STATES(:,10);
ALGEBRAIC(:,43) = CONSTANTS(:,1).*CONSTANTS(:,16).*(STATES(:,1) - CONSTANTS(:,78)).*power(STATES(:,11), 2.00000);
ALGEBRAIC(:,45) = CONSTANTS(:,1).*CONSTANTS(:,17).*(STATES(:,1) - CONSTANTS(:,77)).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,47) = CONSTANTS(:,1).*CONSTANTS(:,18).*(STATES(:,1) - CONSTANTS(:,77)).*STATES(:,13);
ALGEBRAIC(:,53) = ( CONSTANTS(:,1).*CONSTANTS(:,26))./( (1.00000+power(CONSTANTS(:,24)./CONSTANTS(:,8), 1.20000)).*(1.00000+power(CONSTANTS(:,25)./CONSTANTS(:,5), 1.30000)).*(1.00000+exp( - ((STATES(:,1) - CONSTANTS(:,76))+120.000)./30.0000)));
ALGEBRAIC(:,55) = exp(( - CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79)));
ALGEBRAIC(:,61) = 1.00000+ (CONSTANTS(:,41)./CONSTANTS(:,40)).*(1.00000+exp(( CONSTANTS(:,31).*STATES(:,1))./CONSTANTS(:,79)))+ (CONSTANTS(:,6)./CONSTANTS(:,38)).*(1.00000+ (CONSTANTS(:,6)./CONSTANTS(:,39)).*(1.00000+CONSTANTS(:,6)./CONSTANTS(:,37)));
ALGEBRAIC(:,63) = ( (( (CONSTANTS(:,6)./CONSTANTS(:,38)).*CONSTANTS(:,6))./CONSTANTS(:,39)).*(1.00000+CONSTANTS(:,6)./CONSTANTS(:,37)).*exp(( - CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79))))./ALGEBRAIC(:,61);
ALGEBRAIC(:,62) = ( (CONSTANTS(:,41)./CONSTANTS(:,40)).*exp(( CONSTANTS(:,31).*STATES(:,1))./CONSTANTS(:,79)))./ALGEBRAIC(:,61);
ALGEBRAIC(:,59) = exp(( CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79)));
ALGEBRAIC(:,64) = ALGEBRAIC(:,55).*CONSTANTS(:,81).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,62))+ ALGEBRAIC(:,62).*ALGEBRAIC(:,59).*(CONSTANTS(:,80)+ALGEBRAIC(:,55));
ALGEBRAIC(:,56) = 1.00000+ (STATES(:,2)./CONSTANTS(:,33)).*(1.00000+exp(( - CONSTANTS(:,29).*STATES(:,1))./CONSTANTS(:,79))+CONSTANTS(:,5)./CONSTANTS(:,36))+ (CONSTANTS(:,5)./CONSTANTS(:,34)).*(1.00000+ (CONSTANTS(:,5)./CONSTANTS(:,35)).*(1.00000+CONSTANTS(:,5)./CONSTANTS(:,32)));
ALGEBRAIC(:,57) = ( (STATES(:,2)./CONSTANTS(:,33)).*exp(( - CONSTANTS(:,29).*STATES(:,1))./CONSTANTS(:,79)))./ALGEBRAIC(:,56);
ALGEBRAIC(:,58) = ( (( (CONSTANTS(:,5)./CONSTANTS(:,34)).*CONSTANTS(:,5))./CONSTANTS(:,35)).*(1.00000+CONSTANTS(:,5)./CONSTANTS(:,32)).*exp(( CONSTANTS(:,30).*STATES(:,1))./( 2.00000.*CONSTANTS(:,79))))./ALGEBRAIC(:,56);
ALGEBRAIC(:,60) = ALGEBRAIC(:,59).*CONSTANTS(:,80).*(ALGEBRAIC(:,58)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,55).*ALGEBRAIC(:,57).*(CONSTANTS(:,81)+ALGEBRAIC(:,59));
ALGEBRAIC(:,65) = ALGEBRAIC(:,58).*CONSTANTS(:,80).*(ALGEBRAIC(:,63)+ALGEBRAIC(:,62))+ ALGEBRAIC(:,57).*ALGEBRAIC(:,63).*(CONSTANTS(:,80)+ALGEBRAIC(:,55));
ALGEBRAIC(:,66) = ALGEBRAIC(:,63).*CONSTANTS(:,81).*(ALGEBRAIC(:,58)+ALGEBRAIC(:,57))+ ALGEBRAIC(:,58).*ALGEBRAIC(:,62).*(CONSTANTS(:,81)+ALGEBRAIC(:,59));
ALGEBRAIC(:,67) = ( CONSTANTS(:,1).*CONSTANTS(:,28).*( ALGEBRAIC(:,60).*ALGEBRAIC(:,62) - ALGEBRAIC(:,64).*ALGEBRAIC(:,57)))./(ALGEBRAIC(:,64)+ALGEBRAIC(:,60)+ALGEBRAIC(:,65)+ALGEBRAIC(:,66));
ALGEBRAIC(:,54) = CONSTANTS(:,1).*CONSTANTS(:,27).*(STATES(:,1) - CONSTANTS(:,9));
ALGEBRAIC(:,52) = CONSTANTS(:,1).*CONSTANTS(:,23).*(STATES(:,1) - CONSTANTS(:,76));
ALGEBRAIC(:,70) = CONSTANTS(:,62).*STATES(:,2).*(1.00000 - STATES(:,26)) - CONSTANTS(:,67).*STATES(:,26);
ALGEBRAIC(:,68) = CONSTANTS(:,42).*STATES(:,18).*(STATES(:,21) - STATES(:,2));
ALGEBRAIC(:,69) = (STATES(:,2) - STATES(:,23))./CONSTANTS(:,51);
ALGEBRAIC(:,72) = CONSTANTS(:,59).*STATES(:,23).*(1.00000 - STATES(:,27)) - CONSTANTS(:,64).*STATES(:,27);
ALGEBRAIC(:,71) = CONSTANTS(:,53)./(1.00000+CONSTANTS(:,54)./STATES(:,23));
ALGEBRAIC(:,73) = (STATES(:,22) - STATES(:,21))./CONSTANTS(:,52);
ALGEBRAIC(:,74) = CONSTANTS(:,61).*STATES(:,23).*(1.00000 - (STATES(:,28)+STATES(:,24))) - CONSTANTS(:,65).*STATES(:,28);
ALGEBRAIC(:,75) = CONSTANTS(:,63).*STATES(:,21).*(1.00000 - STATES(:,29)) - CONSTANTS(:,68).*STATES(:,29);
ALGEBRAIC(:,76) = CONSTANTS(:,62).*STATES(:,23).*(1.00000 - STATES(:,25)) - CONSTANTS(:,67).*STATES(:,25);
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