doxygen/4.3.1/_ten_tusscher06_8cpp_source.html

 ///////////////////////////////////////////////////////////////////////////////

 //

 // File TenTusscher06.cpp

 //

 // For more information, please see: http://www.nektar.info

 //

 // The MIT License

 //

 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),

 // Department of Aeronautics, Imperial College London (UK), and Scientific

 // Computing and Imaging Institute, University of Utah (USA).

 //

 // License for the specific language governing rights and limitations under

 // Permission is hereby granted, free of charge, to any person obtaining a

 // copy of this software and associated documentation files (the "Software"),

 // to deal in the Software without restriction, including without limitation

 // the rights to use, copy, modify, merge, publish, distribute, sublicense,

 // and/or sell copies of the Software, and to permit persons to whom the

 // Software is furnished to do so, subject to the following conditions:

 //

 // The above copyright notice and this permission notice shall be included

 // in all copies or substantial portions of the Software.

 //

 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS

 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,

 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL

 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER

 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING

 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER

 // DEALINGS IN THE SOFTWARE.

 //

 // Description: ten Tusscher 2006 Epicardium cell model

 //

 ///////////////////////////////////////////////////////////////////////////////


 #include <iostream>

 #include <string>

 //#include <LibUtilities/BasicUtils/Vmath.hpp>

 #include <CardiacEPSolver/CellModels/TenTusscher06.h>


 namespace Nektar

 {


 std::string TenTusscher06::className

 = GetCellModelFactory().RegisterCreatorFunction(

         "TenTusscher06",

         TenTusscher06::create,

         "ten Tusscher 2006.");


 std::string TenTusscher06::lookupIds[4] = {

         LibUtilities::SessionReader::RegisterEnumValue("CellModelVariant",

                 "Epicardium", TenTusscher06::eEpicardium),

         LibUtilities::SessionReader::RegisterEnumValue("CellModelVariant",

                 "Endocardium", TenTusscher06::eEndocardium),

         LibUtilities::SessionReader::RegisterEnumValue("CellModelVariant",

                 "Mid", TenTusscher06::eMid),

         LibUtilities::SessionReader::RegisterEnumValue("CellModelVariant",

                 "Ischemia", TenTusscher06::eIschemia)

 };


 std::string TenTusscher06::def =

         LibUtilities::SessionReader::RegisterDefaultSolverInfo(

                 "CellModelVariant", "eEpicardium");


 /**

  *

  */

 TenTusscher06::TenTusscher06(

         const LibUtilities::SessionReaderSharedPtr& pSession,

         const MultiRegions::ExpListSharedPtr& pField):

                     CellModel(pSession, pField)

 {

     model_variant = pSession->GetSolverInfoAsEnum<

             TenTusscher06::Variants>("CellModelVariant");


     switch (model_variant) {

     case eEpicardium:

         g_to = 0.294;

         g_Ks = 0.392;

         s_inf_factor = 20.0;

         s_tau_f1 = 85.0;

         s_tau_f2 = 45.0;

         s_tau_f3 = 320.0;

         s_tau_f4 = 0.0;

         s_tau_f5 = 1.0;

         k_0 = 5.4;

         break;

     case eEndocardium:

         g_to = 0.073;

         g_Ks = 0.392;

         s_inf_factor = 28.0;

         s_tau_f1 = 1000.0;

         s_tau_f2 = 67.0;

         s_tau_f3 = 1000.0;

         s_tau_f4 = 8.0;

         s_tau_f5 = 0.0;

         k_0 = 5.4;

         break;

     case eMid:

         g_to = 0.294;

         g_Ks = 0.098;

         s_inf_factor = 20.0;

         s_tau_f1 = 85.0;

         s_tau_f2 = 45.0;

         s_tau_f3 = 320.0;

         s_tau_f4 = 0.0;

         s_tau_f5 = 1.0;

         k_0 = 5.4;

         break;

     case eIschemia:

         g_to = 0.294;

         g_Ks = 0.392;

         s_inf_factor = 20.0;

         s_tau_f1 = 85.0;

         s_tau_f2 = 45.0;

         s_tau_f3 = 320.0;

         s_tau_f4 = 0.0;

         s_tau_f5 = 1.0;

         k_0 = 9.0;

         break;

     }

     m_nvar = 19;


     m_gates.push_back(1);

     m_gates.push_back(2);

     m_gates.push_back(3);

     m_gates.push_back(4);

     m_gates.push_back(5);

     m_gates.push_back(6);

     m_gates.push_back(7);

     m_gates.push_back(8);

     m_gates.push_back(9);

     m_gates.push_back(10);

     m_gates.push_back(11);

     m_gates.push_back(12);

     m_concentrations.push_back(13);

     m_concentrations.push_back(14);

     m_concentrations.push_back(15);

     m_concentrations.push_back(16);

     m_concentrations.push_back(17);

     m_concentrations.push_back(18);

 }


 /**

  *

  */

 void TenTusscher06::v_Update(

         const Array<OneD, const  Array<OneD, NekDouble> >&inarray,

         Array<OneD,        Array<OneD, NekDouble> >&outarray,

         const NekDouble time)

 {

     for (unsigned int i = 0; i < m_nq; ++i)

     {

         // Inputs:

         // Time units: millisecond

         NekDouble var_chaste_interface__membrane__V = inarray[0][i];

         // Units: millivolt; Initial value: -85.23

         NekDouble var_chaste_interface__rapid_time_dependent_potassium_current_Xr1_gate__Xr1 = inarray[1][i];

         // Units: dimensionless; Initial value: 0.00621

         NekDouble var_chaste_interface__rapid_time_dependent_potassium_current_Xr2_gate__Xr2 = inarray[2][i];

         // Units: dimensionless; Initial value: 0.4712

         NekDouble var_chaste_interface__slow_time_dependent_potassium_current_Xs_gate__Xs = inarray[3][i];

         // Units: dimensionless; Initial value: 0.0095

         NekDouble var_chaste_interface__fast_sodium_current_m_gate__m = inarray[4][i];

         // Units: dimensionless; Initial value: 0.00172

         NekDouble var_chaste_interface__fast_sodium_current_h_gate__h = inarray[5][i];

         // Units: dimensionless; Initial value: 0.7444

         NekDouble var_chaste_interface__fast_sodium_current_j_gate__j = inarray[6][i];

         // Units: dimensionless; Initial value: 0.7045

         NekDouble var_chaste_interface__L_type_Ca_current_d_gate__d = inarray[7][i];

         // Units: dimensionless; Initial value: 3.373e-5

         NekDouble var_chaste_interface__L_type_Ca_current_f_gate__f = inarray[8][i];

         // Units: dimensionless; Initial value: 0.7888

         NekDouble var_chaste_interface__L_type_Ca_current_f2_gate__f2 = inarray[9][i];

         // Units: dimensionless; Initial value: 0.9755

         NekDouble var_chaste_interface__L_type_Ca_current_fCass_gate__fCass = inarray[10][i];

         // Units: dimensionless; Initial value: 0.9953

         NekDouble var_chaste_interface__transient_outward_current_s_gate__s = inarray[11][i];

         // Units: dimensionless; Initial value: 0.999998

         NekDouble var_chaste_interface__transient_outward_current_r_gate__r = inarray[12][i];

         // Units: dimensionless; Initial value: 2.42e-8

         NekDouble var_chaste_interface__calcium_dynamics__Ca_i = inarray[13][i];

         // Units: millimolar; Initial value: 0.000126

         NekDouble var_chaste_interface__calcium_dynamics__Ca_SR = inarray[14][i];

         // Units: millimolar; Initial value: 3.64

         NekDouble var_chaste_interface__calcium_dynamics__Ca_ss = inarray[15][i];

         // Units: millimolar; Initial value: 0.00036

         NekDouble var_chaste_interface__calcium_dynamics__R_prime = inarray[16][i];

         // Units: dimensionless; Initial value: 0.9073

         NekDouble var_chaste_interface__sodium_dynamics__Na_i = inarray[17][i];

         // Units: millimolar; Initial value: 8.604

         NekDouble var_chaste_interface__potassium_dynamics__K_i = inarray[18][i];

         // Units: millimolar; Initial value: 136.89


         // Mathematics

         NekDouble d_dt_chaste_interface__membrane__V;

         const NekDouble var_membrane__R = 8314.472; // joule_per_mole_kelvin

         const NekDouble var_membrane__T = 310.0; // kelvin

         const NekDouble var_membrane__F = 96485.3415; // coulomb_per_millimole

         const NekDouble var_membrane__Cm = 0.185; // microF

         const NekDouble var_membrane__V_c = 0.016404; // micrometre3

         const NekDouble var_inward_rectifier_potassium_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_reversal_potentials__K_i = var_chaste_interface__potassium_dynamics__K_i; // millimolar

         const NekDouble var_reversal_potentials__R = var_membrane__R; // joule_per_mole_kelvin

         const NekDouble var_reversal_potentials__T = var_membrane__T; // kelvin

         const NekDouble var_reversal_potentials__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_potassium_dynamics__K_o = k_0; // millimolar

         const NekDouble var_reversal_potentials__K_o = var_potassium_dynamics__K_o; // millimolar

         const NekDouble var_reversal_potentials__E_K = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__K_o / var_reversal_potentials__K_i); // millivolt

         const NekDouble var_inward_rectifier_potassium_current__E_K = var_reversal_potentials__E_K; // millivolt

         const NekDouble var_inward_rectifier_potassium_current__beta_K1 = ((3.0 * exp(0.0002 * ((var_inward_rectifier_potassium_current__V - var_inward_rectifier_potassium_current__E_K) + 100.0))) + exp(0.1 * ((var_inward_rectifier_potassium_current__V - var_inward_rectifier_potassium_current__E_K) - 10.0))) / (1.0 + exp((-0.5) * (var_inward_rectifier_potassium_current__V - var_inward_rectifier_potassium_current__E_K))); // dimensionless

         const NekDouble var_inward_rectifier_potassium_current__alpha_K1 = 0.1 / (1.0 + exp(0.06 * ((var_inward_rectifier_potassium_current__V - var_inward_rectifier_potassium_current__E_K) - 200.0))); // dimensionless

         const NekDouble var_inward_rectifier_potassium_current__xK1_inf = var_inward_rectifier_potassium_current__alpha_K1 / (var_inward_rectifier_potassium_current__alpha_K1 + var_inward_rectifier_potassium_current__beta_K1); // dimensionless

         const NekDouble var_inward_rectifier_potassium_current__K_o = var_potassium_dynamics__K_o; // millimolar

         const NekDouble var_inward_rectifier_potassium_current__g_K1 = 5.405; // nanoS_per_picoF

         const NekDouble var_inward_rectifier_potassium_current__i_K1 = var_inward_rectifier_potassium_current__g_K1 * var_inward_rectifier_potassium_current__xK1_inf * sqrt(var_inward_rectifier_potassium_current__K_o / 5.4) * (var_inward_rectifier_potassium_current__V - var_inward_rectifier_potassium_current__E_K); // picoA_per_picoF

         const NekDouble var_transient_outward_current__s = var_chaste_interface__transient_outward_current_s_gate__s; // dimensionless

         const NekDouble var_transient_outward_current__r = var_chaste_interface__transient_outward_current_r_gate__r; // dimensionless

         const NekDouble var_transient_outward_current__g_to = g_to; // nanoS_per_picoF

         const NekDouble var_transient_outward_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_transient_outward_current__E_K = var_reversal_potentials__E_K; // millivolt

         const NekDouble var_transient_outward_current__i_to = var_transient_outward_current__g_to * var_transient_outward_current__r * var_transient_outward_current__s * (var_transient_outward_current__V - var_transient_outward_current__E_K); // picoA_per_picoF

         const NekDouble var_rapid_time_dependent_potassium_current__Xr1 = var_chaste_interface__rapid_time_dependent_potassium_current_Xr1_gate__Xr1; // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current__Xr2 = var_chaste_interface__rapid_time_dependent_potassium_current_Xr2_gate__Xr2; // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_rapid_time_dependent_potassium_current__K_o = var_potassium_dynamics__K_o; // millimolar

         const NekDouble var_rapid_time_dependent_potassium_current__E_K = var_reversal_potentials__E_K; // millivolt

         const NekDouble var_rapid_time_dependent_potassium_current__g_Kr = 0.153; // nanoS_per_picoF

         const NekDouble var_rapid_time_dependent_potassium_current__i_Kr = var_rapid_time_dependent_potassium_current__g_Kr * sqrt(var_rapid_time_dependent_potassium_current__K_o / 5.4) * var_rapid_time_dependent_potassium_current__Xr1 * var_rapid_time_dependent_potassium_current__Xr2 * (var_rapid_time_dependent_potassium_current__V - var_rapid_time_dependent_potassium_current__E_K); // picoA_per_picoF

         const NekDouble var_slow_time_dependent_potassium_current__g_Ks = g_Ks; // nanoS_per_picoF

         const NekDouble var_sodium_dynamics__Na_o = 140.0; // millimolar

         const NekDouble var_reversal_potentials__Na_o = var_sodium_dynamics__Na_o; // millimolar

         const NekDouble var_reversal_potentials__Na_i = var_chaste_interface__sodium_dynamics__Na_i; // millimolar

         const NekDouble var_reversal_potentials__P_kna = 0.03; // dimensionless

         const NekDouble var_reversal_potentials__E_Ks = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__K_o + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_o)) / (var_reversal_potentials__K_i + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_i))); // millivolt

         const NekDouble var_slow_time_dependent_potassium_current__E_Ks = var_reversal_potentials__E_Ks; // millivolt

         const NekDouble var_slow_time_dependent_potassium_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_slow_time_dependent_potassium_current__Xs = var_chaste_interface__slow_time_dependent_potassium_current_Xs_gate__Xs; // dimensionless

         const NekDouble var_slow_time_dependent_potassium_current__i_Ks = var_slow_time_dependent_potassium_current__g_Ks * pow(var_slow_time_dependent_potassium_current__Xs, 2.0) * (var_slow_time_dependent_potassium_current__V - var_slow_time_dependent_potassium_current__E_Ks); // picoA_per_picoF

         const NekDouble var_L_type_Ca_current__Ca_ss = var_chaste_interface__calcium_dynamics__Ca_ss; // millimolar

         const NekDouble var_L_type_Ca_current__g_CaL = 3.98e-05; // litre_per_farad_second

         const NekDouble var_L_type_Ca_current__f = var_chaste_interface__L_type_Ca_current_f_gate__f; // dimensionless

         const NekDouble var_L_type_Ca_current__d = var_chaste_interface__L_type_Ca_current_d_gate__d; // dimensionless

         const NekDouble var_L_type_Ca_current__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_L_type_Ca_current__f2 = var_chaste_interface__L_type_Ca_current_f2_gate__f2; // dimensionless

         const NekDouble var_L_type_Ca_current__fCass = var_chaste_interface__L_type_Ca_current_fCass_gate__fCass; // dimensionless

         const NekDouble var_L_type_Ca_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_L_type_Ca_current__T = var_membrane__T; // kelvin

         const NekDouble var_calcium_dynamics__Ca_o = 2.0; // millimolar

         const NekDouble var_L_type_Ca_current__Ca_o = var_calcium_dynamics__Ca_o; // millimolar

         const NekDouble var_L_type_Ca_current__R = var_membrane__R; // joule_per_mole_kelvin

         const NekDouble var_L_type_Ca_current__i_CaL = (((var_L_type_Ca_current__g_CaL * var_L_type_Ca_current__d * var_L_type_Ca_current__f * var_L_type_Ca_current__f2 * var_L_type_Ca_current__fCass * 4.0 * (var_L_type_Ca_current__V - 15.0) * pow(var_L_type_Ca_current__F, 2.0)) / (var_L_type_Ca_current__R * var_L_type_Ca_current__T)) * ((0.25 * var_L_type_Ca_current__Ca_ss * exp((2.0 * (var_L_type_Ca_current__V - 15.0) * var_L_type_Ca_current__F) / (var_L_type_Ca_current__R * var_L_type_Ca_current__T))) - var_L_type_Ca_current__Ca_o)) / (exp((2.0 * (var_L_type_Ca_current__V - 15.0) * var_L_type_Ca_current__F) / (var_L_type_Ca_current__R * var_L_type_Ca_current__T)) - 1.0); // picoA_per_picoF

         const NekDouble var_sodium_potassium_pump_current__Na_i = var_chaste_interface__sodium_dynamics__Na_i; // millimolar

         const NekDouble var_sodium_potassium_pump_current__R = var_membrane__R; // joule_per_mole_kelvin

         const NekDouble var_sodium_potassium_pump_current__T = var_membrane__T; // kelvin

         const NekDouble var_sodium_potassium_pump_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_sodium_potassium_pump_current__K_mk = 1.0; // millimolar

         const NekDouble var_sodium_potassium_pump_current__P_NaK = 2.724; // picoA_per_picoF

         const NekDouble var_sodium_potassium_pump_current__K_mNa = 40.0; // millimolar

         const NekDouble var_sodium_potassium_pump_current__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_sodium_potassium_pump_current__K_o = var_potassium_dynamics__K_o; // millimolar

         const NekDouble var_sodium_potassium_pump_current__i_NaK = ((((var_sodium_potassium_pump_current__P_NaK * var_sodium_potassium_pump_current__K_o) / (var_sodium_potassium_pump_current__K_o + var_sodium_potassium_pump_current__K_mk)) * var_sodium_potassium_pump_current__Na_i) / (var_sodium_potassium_pump_current__Na_i + var_sodium_potassium_pump_current__K_mNa)) / (1.0 + (0.1245 * exp(((-0.1) * var_sodium_potassium_pump_current__V * var_sodium_potassium_pump_current__F) / (var_sodium_potassium_pump_current__R * var_sodium_potassium_pump_current__T))) + (0.0353 * exp(((-var_sodium_potassium_pump_current__V) * var_sodium_potassium_pump_current__F) / (var_sodium_potassium_pump_current__R * var_sodium_potassium_pump_current__T)))); // picoA_per_picoF

         const NekDouble var_fast_sodium_current__j = var_chaste_interface__fast_sodium_current_j_gate__j; // dimensionless

         const NekDouble var_fast_sodium_current__h = var_chaste_interface__fast_sodium_current_h_gate__h; // dimensionless

         const NekDouble var_fast_sodium_current__g_Na = 14.838; // nanoS_per_picoF

         const NekDouble var_fast_sodium_current__m = var_chaste_interface__fast_sodium_current_m_gate__m; // dimensionless

         const NekDouble var_fast_sodium_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_reversal_potentials__E_Na = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Na_o / var_reversal_potentials__Na_i); // millivolt

         const NekDouble var_fast_sodium_current__E_Na = var_reversal_potentials__E_Na; // millivolt

         const NekDouble var_fast_sodium_current__i_Na = var_fast_sodium_current__g_Na * pow(var_fast_sodium_current__m, 3.0) * var_fast_sodium_current__h * var_fast_sodium_current__j * (var_fast_sodium_current__V - var_fast_sodium_current__E_Na); // picoA_per_picoF

         const NekDouble var_sodium_background_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_sodium_background_current__E_Na = var_reversal_potentials__E_Na; // millivolt

         const NekDouble var_sodium_background_current__g_bna = 0.00029; // nanoS_per_picoF

         const NekDouble var_sodium_background_current__i_b_Na = var_sodium_background_current__g_bna * (var_sodium_background_current__V - var_sodium_background_current__E_Na); // picoA_per_picoF

         const NekDouble var_sodium_calcium_exchanger_current__alpha = 2.5; // dimensionless

         const NekDouble var_sodium_calcium_exchanger_current__gamma = 0.35; // dimensionless

         const NekDouble var_sodium_calcium_exchanger_current__K_sat = 0.1; // dimensionless

         const NekDouble var_sodium_calcium_exchanger_current__Km_Ca = 1.38; // millimolar

         const NekDouble var_sodium_calcium_exchanger_current__K_NaCa = 1000.0; // picoA_per_picoF

         const NekDouble var_sodium_calcium_exchanger_current__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_sodium_calcium_exchanger_current__Ca_i = var_chaste_interface__calcium_dynamics__Ca_i; // millimolar

         const NekDouble var_sodium_calcium_exchanger_current__Ca_o = var_calcium_dynamics__Ca_o; // millimolar

         const NekDouble var_sodium_calcium_exchanger_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_sodium_calcium_exchanger_current__R = var_membrane__R; // joule_per_mole_kelvin

         const NekDouble var_sodium_calcium_exchanger_current__Km_Nai = 87.5; // millimolar

         const NekDouble var_sodium_calcium_exchanger_current__Na_o = var_sodium_dynamics__Na_o; // millimolar

         const NekDouble var_sodium_calcium_exchanger_current__Na_i = var_chaste_interface__sodium_dynamics__Na_i; // millimolar

         const NekDouble var_sodium_calcium_exchanger_current__T = var_membrane__T; // kelvin

         const NekDouble var_sodium_calcium_exchanger_current__i_NaCa = (var_sodium_calcium_exchanger_current__K_NaCa * ((exp((var_sodium_calcium_exchanger_current__gamma * var_sodium_calcium_exchanger_current__V * var_sodium_calcium_exchanger_current__F) / (var_sodium_calcium_exchanger_current__R * var_sodium_calcium_exchanger_current__T)) * pow(var_sodium_calcium_exchanger_current__Na_i, 3.0) * var_sodium_calcium_exchanger_current__Ca_o) - (exp(((var_sodium_calcium_exchanger_current__gamma - 1.0) * var_sodium_calcium_exchanger_current__V * var_sodium_calcium_exchanger_current__F) / (var_sodium_calcium_exchanger_current__R * var_sodium_calcium_exchanger_current__T)) * pow(var_sodium_calcium_exchanger_current__Na_o, 3.0) * var_sodium_calcium_exchanger_current__Ca_i * var_sodium_calcium_exchanger_current__alpha))) / ((pow(var_sodium_calcium_exchanger_current__Km_Nai, 3.0) + pow(var_sodium_calcium_exchanger_current__Na_o, 3.0)) * (var_sodium_calcium_exchanger_current__Km_Ca + var_sodium_calcium_exchanger_current__Ca_o) * (1.0 + (var_sodium_calcium_exchanger_current__K_sat * exp(((var_sodium_calcium_exchanger_current__gamma - 1.0) * var_sodium_calcium_exchanger_current__V * var_sodium_calcium_exchanger_current__F) / (var_sodium_calcium_exchanger_current__R * var_sodium_calcium_exchanger_current__T))))); // picoA_per_picoF

         const NekDouble var_reversal_potentials__Ca_o = var_calcium_dynamics__Ca_o; // millimolar

         const NekDouble var_reversal_potentials__Ca_i = var_chaste_interface__calcium_dynamics__Ca_i; // millimolar

         const NekDouble var_reversal_potentials__E_Ca = ((0.5 * var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Ca_o / var_reversal_potentials__Ca_i); // millivolt

         const NekDouble var_calcium_background_current__E_Ca = var_reversal_potentials__E_Ca; // millivolt

         const NekDouble var_calcium_background_current__g_bca = 0.000592; // nanoS_per_picoF

         const NekDouble var_calcium_background_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_calcium_background_current__i_b_Ca = var_calcium_background_current__g_bca * (var_calcium_background_current__V - var_calcium_background_current__E_Ca); // picoA_per_picoF

         const NekDouble var_potassium_pump_current__g_pK = 0.0146; // nanoS_per_picoF

         const NekDouble var_potassium_pump_current__V = var_chaste_interface__membrane__V; // millivolt

         const NekDouble var_potassium_pump_current__E_K = var_reversal_potentials__E_K; // millivolt

         const NekDouble var_potassium_pump_current__i_p_K = (var_potassium_pump_current__g_pK * (var_potassium_pump_current__V - var_potassium_pump_current__E_K)) / (1.0 + exp((25.0 - var_potassium_pump_current__V) / 5.98)); // picoA_per_picoF

         const NekDouble var_calcium_pump_current__K_pCa = 0.0005; // millimolar

         const NekDouble var_calcium_pump_current__Ca_i = var_chaste_interface__calcium_dynamics__Ca_i; // millimolar

         const NekDouble var_calcium_pump_current__g_pCa = 0.1238; // picoA_per_picoF

         const NekDouble var_calcium_pump_current__i_p_Ca = (var_calcium_pump_current__g_pCa * var_calcium_pump_current__Ca_i) / (var_calcium_pump_current__Ca_i + var_calcium_pump_current__K_pCa); // picoA_per_picoF

         const NekDouble var_chaste_interface__membrane__i_Stim = 0.0;

         const NekDouble var_rapid_time_dependent_potassium_current_Xr1_gate__V = var_rapid_time_dependent_potassium_current__V; // millivolt

         const NekDouble var_rapid_time_dependent_potassium_current_Xr1_gate__alpha_xr1 = 450.0 / (1.0 + exp(((-45.0) - var_rapid_time_dependent_potassium_current_Xr1_gate__V) / 10.0)); // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current_Xr1_gate__beta_xr1 = 6.0 / (1.0 + exp((var_rapid_time_dependent_potassium_current_Xr1_gate__V + 30.0) / 11.5)); // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current_Xr1_gate__tau_xr1 = 1.0 * var_rapid_time_dependent_potassium_current_Xr1_gate__alpha_xr1 * var_rapid_time_dependent_potassium_current_Xr1_gate__beta_xr1; // millisecond

         const NekDouble var_rapid_time_dependent_potassium_current_Xr1_gate__xr1_inf = 1.0 / (1.0 + exp(((-26.0) - var_rapid_time_dependent_potassium_current_Xr1_gate__V) / 7.0)); // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current_Xr2_gate__V = var_rapid_time_dependent_potassium_current__V; // millivolt

         const NekDouble var_rapid_time_dependent_potassium_current_Xr2_gate__alpha_xr2 = 3.0 / (1.0 + exp(((-60.0) - var_rapid_time_dependent_potassium_current_Xr2_gate__V) / 20.0)); // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current_Xr2_gate__beta_xr2 = 1.12 / (1.0 + exp((var_rapid_time_dependent_potassium_current_Xr2_gate__V - 60.0) / 20.0)); // dimensionless

         const NekDouble var_rapid_time_dependent_potassium_current_Xr2_gate__tau_xr2 = 1.0 * var_rapid_time_dependent_potassium_current_Xr2_gate__alpha_xr2 * var_rapid_time_dependent_potassium_current_Xr2_gate__beta_xr2; // millisecond

         const NekDouble var_rapid_time_dependent_potassium_current_Xr2_gate__xr2_inf = 1.0 / (1.0 + exp((var_rapid_time_dependent_potassium_current_Xr2_gate__V + 88.0) / 24.0)); // dimensionless

         const NekDouble var_slow_time_dependent_potassium_current_Xs_gate__V = var_slow_time_dependent_potassium_current__V; // millivolt

         const NekDouble var_slow_time_dependent_potassium_current_Xs_gate__beta_xs = 1.0 / (1.0 + exp((var_slow_time_dependent_potassium_current_Xs_gate__V - 35.0) / 15.0)); // dimensionless

         const NekDouble var_slow_time_dependent_potassium_current_Xs_gate__alpha_xs = 1400.0 / sqrt(1.0 + exp((5.0 - var_slow_time_dependent_potassium_current_Xs_gate__V) / 6.0)); // dimensionless

         const NekDouble var_slow_time_dependent_potassium_current_Xs_gate__tau_xs = (1.0 * var_slow_time_dependent_potassium_current_Xs_gate__alpha_xs * var_slow_time_dependent_potassium_current_Xs_gate__beta_xs) + 80.0; // millisecond

         const NekDouble var_slow_time_dependent_potassium_current_Xs_gate__xs_inf = 1.0 / (1.0 + exp(((-5.0) - var_slow_time_dependent_potassium_current_Xs_gate__V) / 14.0)); // dimensionless

         const NekDouble var_fast_sodium_current_m_gate__V = var_fast_sodium_current__V; // millivolt

         const NekDouble var_fast_sodium_current_m_gate__alpha_m = 1.0 / (1.0 + exp(((-60.0) - var_fast_sodium_current_m_gate__V) / 5.0)); // dimensionless

         const NekDouble var_fast_sodium_current_m_gate__beta_m = (0.1 / (1.0 + exp((var_fast_sodium_current_m_gate__V + 35.0) / 5.0))) + (0.1 / (1.0 + exp((var_fast_sodium_current_m_gate__V - 50.0) / 200.0))); // dimensionless

         const NekDouble var_fast_sodium_current_m_gate__tau_m = 1.0 * var_fast_sodium_current_m_gate__alpha_m * var_fast_sodium_current_m_gate__beta_m; // millisecond

         const NekDouble var_fast_sodium_current_m_gate__m_inf = 1.0 / pow(1.0 + exp(((-56.86) - var_fast_sodium_current_m_gate__V) / 9.03), 2.0); // dimensionless

         const NekDouble var_fast_sodium_current_h_gate__V = var_fast_sodium_current__V; // millivolt

         const NekDouble var_fast_sodium_current_h_gate__h_inf = 1.0 / pow(1.0 + exp((var_fast_sodium_current_h_gate__V + 71.55) / 7.43), 2.0); // dimensionless

         const NekDouble var_fast_sodium_current_h_gate__beta_h = (var_fast_sodium_current_h_gate__V < (-40.0)) ? ((2.7 * exp(0.079 * var_fast_sodium_current_h_gate__V)) + (310000.0 * exp(0.3485 * var_fast_sodium_current_h_gate__V))) : (0.77 / (0.13 * (1.0 + exp((var_fast_sodium_current_h_gate__V + 10.66) / (-11.1))))); // per_millisecond

         const NekDouble var_fast_sodium_current_h_gate__alpha_h = (var_fast_sodium_current_h_gate__V < (-40.0)) ? (0.057 * exp((-(var_fast_sodium_current_h_gate__V + 80.0)) / 6.8)) : 0.0; // per_millisecond

         const NekDouble var_fast_sodium_current_h_gate__tau_h = 1.0 / (var_fast_sodium_current_h_gate__alpha_h + var_fast_sodium_current_h_gate__beta_h); // millisecond

         const NekDouble var_fast_sodium_current_j_gate__V = var_fast_sodium_current__V; // millivolt

         const NekDouble var_fast_sodium_current_j_gate__j_inf = 1.0 / pow(1.0 + exp((var_fast_sodium_current_j_gate__V + 71.55) / 7.43), 2.0); // dimensionless

         const NekDouble var_fast_sodium_current_j_gate__alpha_j = (var_fast_sodium_current_j_gate__V < (-40.0)) ? ((((((-25428.0) * exp(0.2444 * var_fast_sodium_current_j_gate__V)) - (6.948e-06 * exp((-0.04391) * var_fast_sodium_current_j_gate__V))) * (var_fast_sodium_current_j_gate__V + 37.78)) / 1.0) / (1.0 + exp(0.311 * (var_fast_sodium_current_j_gate__V + 79.23)))) : 0.0; // per_millisecond

         const NekDouble var_fast_sodium_current_j_gate__beta_j = (var_fast_sodium_current_j_gate__V < (-40.0)) ? ((0.02424 * exp((-0.01052) * var_fast_sodium_current_j_gate__V)) / (1.0 + exp((-0.1378) * (var_fast_sodium_current_j_gate__V + 40.14)))) : ((0.6 * exp(0.057 * var_fast_sodium_current_j_gate__V)) / (1.0 + exp((-0.1) * (var_fast_sodium_current_j_gate__V + 32.0)))); // per_millisecond

         const NekDouble var_fast_sodium_current_j_gate__tau_j = 1.0 / (var_fast_sodium_current_j_gate__alpha_j + var_fast_sodium_current_j_gate__beta_j); // millisecond

         const NekDouble var_L_type_Ca_current_d_gate__V = var_L_type_Ca_current__V; // millivolt

         const NekDouble var_L_type_Ca_current_d_gate__alpha_d = (1.4 / (1.0 + exp(((-35.0) - var_L_type_Ca_current_d_gate__V) / 13.0))) + 0.25; // dimensionless

         const NekDouble var_L_type_Ca_current_d_gate__gamma_d = 1.0 / (1.0 + exp((50.0 - var_L_type_Ca_current_d_gate__V) / 20.0)); // millisecond

         const NekDouble var_L_type_Ca_current_d_gate__beta_d = 1.4 / (1.0 + exp((var_L_type_Ca_current_d_gate__V + 5.0) / 5.0)); // dimensionless

         const NekDouble var_L_type_Ca_current_d_gate__tau_d = (1.0 * var_L_type_Ca_current_d_gate__alpha_d * var_L_type_Ca_current_d_gate__beta_d) + var_L_type_Ca_current_d_gate__gamma_d; // millisecond

         const NekDouble var_L_type_Ca_current_d_gate__d_inf = 1.0 / (1.0 + exp(((-8.0) - var_L_type_Ca_current_d_gate__V) / 7.5)); // dimensionless

         const NekDouble var_L_type_Ca_current_f_gate__V = var_L_type_Ca_current__V; // millivolt

         const NekDouble var_L_type_Ca_current_f_gate__tau_f = (1102.5 * exp((-pow(var_L_type_Ca_current_f_gate__V + 27.0, 2.0)) / 225.0)) + (200.0 / (1.0 + exp((13.0 - var_L_type_Ca_current_f_gate__V) / 10.0))) + (180.0 / (1.0 + exp((var_L_type_Ca_current_f_gate__V + 30.0) / 10.0))) + 20.0; // millisecond

         const NekDouble var_L_type_Ca_current_f_gate__f_inf = 1.0 / (1.0 + exp((var_L_type_Ca_current_f_gate__V + 20.0) / 7.0)); // dimensionless

         const NekDouble var_L_type_Ca_current_f2_gate__V = var_L_type_Ca_current__V; // millivolt

         const NekDouble var_L_type_Ca_current_f2_gate__f2_inf = (0.67 / (1.0 + exp((var_L_type_Ca_current_f2_gate__V + 35.0) / 7.0))) + 0.33; // dimensionless

         const NekDouble var_L_type_Ca_current_f2_gate__tau_f2 = (562.0 * exp((-pow(var_L_type_Ca_current_f2_gate__V + 27.0, 2.0)) / 240.0)) + (31.0 / (1.0 + exp((25.0 - var_L_type_Ca_current_f2_gate__V) / 10.0))) + (80.0 / (1.0 + exp((var_L_type_Ca_current_f2_gate__V + 30.0) / 10.0))); // millisecond

         const NekDouble var_L_type_Ca_current_fCass_gate__Ca_ss = var_L_type_Ca_current__Ca_ss; // millimolar

         const NekDouble var_L_type_Ca_current_fCass_gate__tau_fCass = (80.0 / (1.0 + pow(var_L_type_Ca_current_fCass_gate__Ca_ss / 0.05, 2.0))) + 2.0; // millisecond

         const NekDouble var_L_type_Ca_current_fCass_gate__fCass_inf = (0.6 / (1.0 + pow(var_L_type_Ca_current_fCass_gate__Ca_ss / 0.05, 2.0))) + 0.4; // dimensionless

         const NekDouble var_transient_outward_current_s_gate__V = var_transient_outward_current__V; // millivolt

         const NekDouble var_transient_outward_current_s_gate__s_inf = 1.0 / (1.0 + exp((var_transient_outward_current_s_gate__V + s_inf_factor) / 5.0)); // dimensionless

         const NekDouble var_transient_outward_current_s_gate__tau_s = (s_tau_f1 * exp((-pow(var_transient_outward_current_s_gate__V + s_tau_f2, 2.0)) / s_tau_f3)) + s_tau_f4 + s_tau_f5*((5.0 / (1.0 + exp((var_transient_outward_current_s_gate__V - 20.0) / 5.0))) + 3.0); // millisecond

         const NekDouble var_transient_outward_current_r_gate__V = var_transient_outward_current__V; // millivolt

         const NekDouble var_transient_outward_current_r_gate__r_inf = 1.0 / (1.0 + exp((20.0 - var_transient_outward_current_r_gate__V) / 6.0)); // dimensionless

         const NekDouble var_transient_outward_current_r_gate__tau_r = (9.5 * exp((-pow(var_transient_outward_current_r_gate__V + 40.0, 2.0)) / 1800.0)) + 0.8; // millisecond

         const NekDouble var_calcium_dynamics__Ca_i = var_chaste_interface__calcium_dynamics__Ca_i; // millimolar

         const NekDouble var_calcium_dynamics__Ca_SR = var_chaste_interface__calcium_dynamics__Ca_SR; // millimolar

         const NekDouble var_calcium_dynamics__Ca_ss = var_chaste_interface__calcium_dynamics__Ca_ss; // millimolar

         const NekDouble var_calcium_dynamics__V_rel = 0.102; // per_millisecond

         const NekDouble var_calcium_dynamics__R_prime = var_chaste_interface__calcium_dynamics__R_prime; // dimensionless

         const NekDouble var_calcium_dynamics__k1_prime = 0.15; // per_millimolar2_per_millisecond

         const NekDouble var_calcium_dynamics__max_sr = 2.5; // dimensionless

         const NekDouble var_calcium_dynamics__EC = 1.5; // millimolar

         const NekDouble var_calcium_dynamics__min_sr = 1.0; // dimensionless

         const NekDouble var_calcium_dynamics__kcasr = var_calcium_dynamics__max_sr - ((var_calcium_dynamics__max_sr - var_calcium_dynamics__min_sr) / (1.0 + pow(var_calcium_dynamics__EC / var_calcium_dynamics__Ca_SR, 2.0))); // dimensionless

         const NekDouble var_calcium_dynamics__k1 = var_calcium_dynamics__k1_prime / var_calcium_dynamics__kcasr; // per_millimolar2_per_millisecond

         const NekDouble var_calcium_dynamics__k3 = 0.06; // per_millisecond

         const NekDouble var_calcium_dynamics__O = (var_calcium_dynamics__k1 * pow(var_calcium_dynamics__Ca_ss, 2.0) * var_calcium_dynamics__R_prime) / (var_calcium_dynamics__k3 + (var_calcium_dynamics__k1 * pow(var_calcium_dynamics__Ca_ss, 2.0))); // dimensionless

         const NekDouble var_calcium_dynamics__i_rel = var_calcium_dynamics__V_rel * var_calcium_dynamics__O * (var_calcium_dynamics__Ca_SR - var_calcium_dynamics__Ca_ss); // millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__Vmax_up = 0.006375; // millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__K_up = 0.00025; // millimolar

         const NekDouble var_calcium_dynamics__i_up = var_calcium_dynamics__Vmax_up / (1.0 + (pow(var_calcium_dynamics__K_up, 2.0) / pow(var_calcium_dynamics__Ca_i, 2.0))); // millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__V_leak = 0.00036; // per_millisecond

         const NekDouble var_calcium_dynamics__i_leak = var_calcium_dynamics__V_leak * (var_calcium_dynamics__Ca_SR - var_calcium_dynamics__Ca_i); // millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__V_xfer = 0.0038; // per_millisecond

         const NekDouble var_calcium_dynamics__i_xfer = var_calcium_dynamics__V_xfer * (var_calcium_dynamics__Ca_ss - var_calcium_dynamics__Ca_i); // millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__k2_prime = 0.045; // per_millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__k2 = var_calcium_dynamics__k2_prime * var_calcium_dynamics__kcasr; // per_millimolar_per_millisecond

         const NekDouble var_calcium_dynamics__k4 = 0.005; // per_millisecond

         const NekDouble var_calcium_dynamics__Buf_c = 0.2; // millimolar

         const NekDouble var_calcium_dynamics__K_buf_c = 0.001; // millimolar

         const NekDouble var_calcium_dynamics__Ca_i_bufc = 1.0 / (1.0 + ((var_calcium_dynamics__Buf_c * var_calcium_dynamics__K_buf_c) / pow(var_calcium_dynamics__Ca_i + var_calcium_dynamics__K_buf_c, 2.0))); // dimensionless

         const NekDouble var_calcium_dynamics__K_buf_sr = 0.3; // millimolar

         const NekDouble var_calcium_dynamics__Buf_sr = 10.0; // millimolar

         const NekDouble var_calcium_dynamics__Ca_sr_bufsr = 1.0 / (1.0 + ((var_calcium_dynamics__Buf_sr * var_calcium_dynamics__K_buf_sr) / pow(var_calcium_dynamics__Ca_SR + var_calcium_dynamics__K_buf_sr, 2.0))); // dimensionless

         const NekDouble var_calcium_dynamics__Buf_ss = 0.4; // millimolar

         const NekDouble var_calcium_dynamics__K_buf_ss = 0.00025; // millimolar

         const NekDouble var_calcium_dynamics__Ca_ss_bufss = 1.0 / (1.0 + ((var_calcium_dynamics__Buf_ss * var_calcium_dynamics__K_buf_ss) / pow(var_calcium_dynamics__Ca_ss + var_calcium_dynamics__K_buf_ss, 2.0))); // dimensionless

         const NekDouble var_calcium_dynamics__V_sr = 0.001094; // micrometre3

         const NekDouble var_calcium_dynamics__V_ss = 5.468e-05; // micrometre3

         const NekDouble var_calcium_dynamics__V_c = var_membrane__V_c; // micrometre3

         const NekDouble var_calcium_dynamics__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_calcium_dynamics__Cm = var_membrane__Cm; // microF

         const NekDouble var_calcium_dynamics__i_CaL = var_L_type_Ca_current__i_CaL; // picoA_per_picoF

         const NekDouble var_calcium_dynamics__i_NaCa = var_sodium_calcium_exchanger_current__i_NaCa; // picoA_per_picoF

         const NekDouble var_calcium_dynamics__i_p_Ca = var_calcium_pump_current__i_p_Ca; // picoA_per_picoF

         const NekDouble var_calcium_dynamics__i_b_Ca = var_calcium_background_current__i_b_Ca; // picoA_per_picoF

         const NekDouble var_calcium_dynamics__d_Ca_i_d_environment__time = var_calcium_dynamics__Ca_i_bufc * (((((var_calcium_dynamics__i_leak - var_calcium_dynamics__i_up) * var_calcium_dynamics__V_sr) / var_calcium_dynamics__V_c) + var_calcium_dynamics__i_xfer) - ((1.0 * ((var_calcium_dynamics__i_b_Ca + var_calcium_dynamics__i_p_Ca) - (2.0 * var_calcium_dynamics__i_NaCa)) * var_calcium_dynamics__Cm) / (2.0 * 1.0 * var_calcium_dynamics__V_c * var_calcium_dynamics__F))); // 'millimole per litre per millisecond'

         const NekDouble var_calcium_dynamics__d_Ca_SR_d_environment__time = var_calcium_dynamics__Ca_sr_bufsr * (var_calcium_dynamics__i_up - (var_calcium_dynamics__i_rel + var_calcium_dynamics__i_leak)); // 'millimole per litre per millisecond'

         const NekDouble var_calcium_dynamics__d_Ca_ss_d_environment__time = var_calcium_dynamics__Ca_ss_bufss * (((((-1.0) * var_calcium_dynamics__i_CaL * var_calcium_dynamics__Cm) / (2.0 * 1.0 * var_calcium_dynamics__V_ss * var_calcium_dynamics__F)) + ((var_calcium_dynamics__i_rel * var_calcium_dynamics__V_sr) / var_calcium_dynamics__V_ss)) - ((var_calcium_dynamics__i_xfer * var_calcium_dynamics__V_c) / var_calcium_dynamics__V_ss)); // 'millimole per litre per millisecond'

         const NekDouble var_calcium_dynamics__d_R_prime_d_environment__time = ((-var_calcium_dynamics__k2) * var_calcium_dynamics__Ca_ss * var_calcium_dynamics__R_prime) + (var_calcium_dynamics__k4 * (1.0 - var_calcium_dynamics__R_prime)); // per_millisecond

         const NekDouble var_sodium_dynamics__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_sodium_dynamics__Cm = var_membrane__Cm; // microF

         const NekDouble var_sodium_dynamics__V_c = var_membrane__V_c; // micrometre3

         const NekDouble var_sodium_dynamics__i_Na = var_fast_sodium_current__i_Na; // picoA_per_picoF

         const NekDouble var_sodium_dynamics__i_NaCa = var_sodium_calcium_exchanger_current__i_NaCa; // picoA_per_picoF

         const NekDouble var_sodium_dynamics__i_NaK = var_sodium_potassium_pump_current__i_NaK; // picoA_per_picoF

         const NekDouble var_sodium_dynamics__i_b_Na = var_sodium_background_current__i_b_Na; // picoA_per_picoF

         const NekDouble var_sodium_dynamics__d_Na_i_d_environment__time = (((-1.0) * (var_sodium_dynamics__i_Na + var_sodium_dynamics__i_b_Na + (3.0 * var_sodium_dynamics__i_NaK) + (3.0 * var_sodium_dynamics__i_NaCa))) / (1.0 * var_sodium_dynamics__V_c * var_sodium_dynamics__F)) * var_sodium_dynamics__Cm; // 'millimole per litre per millisecond'

         const NekDouble var_potassium_dynamics__F = var_membrane__F; // coulomb_per_millimole

         const NekDouble var_potassium_dynamics__Cm = var_membrane__Cm; // microF

         const NekDouble var_potassium_dynamics__V_c = var_membrane__V_c; // micrometre3

         const NekDouble var_potassium_dynamics__i_K1 = var_inward_rectifier_potassium_current__i_K1; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__i_to = var_transient_outward_current__i_to; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__i_NaK = var_sodium_potassium_pump_current__i_NaK; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__i_Kr = var_rapid_time_dependent_potassium_current__i_Kr; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__i_Ks = var_slow_time_dependent_potassium_current__i_Ks; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__i_p_K = var_potassium_pump_current__i_p_K; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__chaste_interface__chaste_membrane_capacitance = 1.0; // uF_per_cm2

         const NekDouble var_potassium_dynamics__i_Stim_converter = var_chaste_interface__membrane__i_Stim; // uA_per_cm2

         const NekDouble var_potassium_dynamics__i_Stim = var_potassium_dynamics__i_Stim_converter / var_potassium_dynamics__chaste_interface__chaste_membrane_capacitance; // picoA_per_picoF

         const NekDouble var_potassium_dynamics__d_K_i_d_environment__time = (((-1.0) * ((var_potassium_dynamics__i_K1 + var_potassium_dynamics__i_to + var_potassium_dynamics__i_Kr + var_potassium_dynamics__i_Ks + var_potassium_dynamics__i_p_K + var_potassium_dynamics__i_Stim) - (2.0 * var_potassium_dynamics__i_NaK))) / (1.0 * var_potassium_dynamics__V_c * var_potassium_dynamics__F)) * var_potassium_dynamics__Cm; // 'millimole per litre per millisecond'

         const NekDouble var_chaste_interface__calcium_dynamics__d_Ca_i_d_environment__time = var_calcium_dynamics__d_Ca_i_d_environment__time; // millimolar_per_millisecond

         const NekDouble var_chaste_interface__calcium_dynamics__d_Ca_SR_d_environment__time = var_calcium_dynamics__d_Ca_SR_d_environment__time; // millimolar_per_millisecond

         const NekDouble var_chaste_interface__calcium_dynamics__d_Ca_ss_d_environment__time = var_calcium_dynamics__d_Ca_ss_d_environment__time; // millimolar_per_millisecond

         const NekDouble var_chaste_interface__calcium_dynamics__d_R_prime_d_environment__time = var_calcium_dynamics__d_R_prime_d_environment__time; // per_millisecond

         const NekDouble var_chaste_interface__sodium_dynamics__d_Na_i_d_environment__time = var_sodium_dynamics__d_Na_i_d_environment__time; // millimolar_per_millisecond

         const NekDouble var_chaste_interface__potassium_dynamics__d_K_i_d_environment__time = var_potassium_dynamics__d_K_i_d_environment__time; // millimolar_per_millisecond

         const NekDouble d_dt_chaste_interface__calcium_dynamics__Ca_i = var_chaste_interface__calcium_dynamics__d_Ca_i_d_environment__time; // 'millimole per litre per millisecond'

         const NekDouble d_dt_chaste_interface__calcium_dynamics__Ca_SR = var_chaste_interface__calcium_dynamics__d_Ca_SR_d_environment__time; // 'millimole per litre per millisecond'

         const NekDouble d_dt_chaste_interface__calcium_dynamics__Ca_ss = var_chaste_interface__calcium_dynamics__d_Ca_ss_d_environment__time; // 'millimole per litre per millisecond'

         const NekDouble d_dt_chaste_interface__calcium_dynamics__R_prime = var_chaste_interface__calcium_dynamics__d_R_prime_d_environment__time; // per_millisecond

         const NekDouble d_dt_chaste_interface__sodium_dynamics__Na_i = var_chaste_interface__sodium_dynamics__d_Na_i_d_environment__time; // 'millimole per litre per millisecond'

         const NekDouble d_dt_chaste_interface__potassium_dynamics__K_i = var_chaste_interface__potassium_dynamics__d_K_i_d_environment__time; // 'millimole per litre per millisecond'


         const NekDouble var_membrane__i_K1 = var_inward_rectifier_potassium_current__i_K1; // picoA_per_picoF

         const NekDouble var_membrane__i_to = var_transient_outward_current__i_to; // picoA_per_picoF

         const NekDouble var_membrane__i_Kr = var_rapid_time_dependent_potassium_current__i_Kr; // picoA_per_picoF

         const NekDouble var_membrane__i_Ks = var_slow_time_dependent_potassium_current__i_Ks; // picoA_per_picoF

         const NekDouble var_membrane__i_CaL = var_L_type_Ca_current__i_CaL; // picoA_per_picoF

         const NekDouble var_membrane__i_NaK = var_sodium_potassium_pump_current__i_NaK; // picoA_per_picoF

         const NekDouble var_membrane__i_Na = var_fast_sodium_current__i_Na; // picoA_per_picoF

         const NekDouble var_membrane__i_b_Na = var_sodium_background_current__i_b_Na; // picoA_per_picoF

         const NekDouble var_membrane__i_NaCa = var_sodium_calcium_exchanger_current__i_NaCa; // picoA_per_picoF

         const NekDouble var_membrane__i_b_Ca = var_calcium_background_current__i_b_Ca; // picoA_per_picoF

         const NekDouble var_membrane__i_p_K = var_potassium_pump_current__i_p_K; // picoA_per_picoF

         const NekDouble var_membrane__i_p_Ca = var_calcium_pump_current__i_p_Ca; // picoA_per_picoF

         const NekDouble var_membrane__i_Stim_converter = var_chaste_interface__membrane__i_Stim; // uA_per_cm2

         const NekDouble var_membrane__chaste_interface__chaste_membrane_capacitance = 1.0; // uF_per_cm2

         const NekDouble var_membrane__i_Stim = var_membrane__i_Stim_converter / var_membrane__chaste_interface__chaste_membrane_capacitance; // picoA_per_picoF

         const NekDouble var_membrane__d_V_d_environment__time = ((-1.0) / 1.0) * (var_membrane__i_K1 + var_membrane__i_to + var_membrane__i_Kr + var_membrane__i_Ks + var_membrane__i_CaL + var_membrane__i_NaK + var_membrane__i_Na + var_membrane__i_b_Na + var_membrane__i_NaCa + var_membrane__i_b_Ca + var_membrane__i_p_K + var_membrane__i_p_Ca + var_membrane__i_Stim); // 'millivolt per millisecond'

         const NekDouble var_chaste_interface__membrane__d_V_d_environment__time = var_membrane__d_V_d_environment__time; // ___units_1

         d_dt_chaste_interface__membrane__V = var_chaste_interface__membrane__d_V_d_environment__time; // 'millivolt per millisecond'

         outarray[0][i] = d_dt_chaste_interface__membrane__V;

         outarray[1][i] = var_rapid_time_dependent_potassium_current_Xr1_gate__xr1_inf;

         m_gates_tau[0][i] = var_rapid_time_dependent_potassium_current_Xr1_gate__tau_xr1;

         outarray[2][i] = var_rapid_time_dependent_potassium_current_Xr2_gate__xr2_inf;

         m_gates_tau[1][i] = var_rapid_time_dependent_potassium_current_Xr2_gate__tau_xr2;

         outarray[3][i] = var_slow_time_dependent_potassium_current_Xs_gate__xs_inf;

         m_gates_tau[2][i] = var_slow_time_dependent_potassium_current_Xs_gate__tau_xs;

         outarray[4][i] = var_fast_sodium_current_m_gate__m_inf;

         m_gates_tau[3][i] = var_fast_sodium_current_m_gate__tau_m;

         outarray[5][i] = var_fast_sodium_current_h_gate__h_inf;

         m_gates_tau[4][i] = var_fast_sodium_current_h_gate__tau_h;

         outarray[6][i] = var_fast_sodium_current_j_gate__j_inf;

         m_gates_tau[5][i] = var_fast_sodium_current_j_gate__tau_j;

         outarray[7][i] = var_L_type_Ca_current_d_gate__d_inf;

         m_gates_tau[6][i] = var_L_type_Ca_current_d_gate__tau_d;

         outarray[8][i] = var_L_type_Ca_current_f_gate__f_inf;

         m_gates_tau[7][i] = var_L_type_Ca_current_f_gate__tau_f;

         outarray[9][i] = var_L_type_Ca_current_f2_gate__f2_inf;

         m_gates_tau[8][i] = var_L_type_Ca_current_f2_gate__tau_f2;

         outarray[10][i] = var_L_type_Ca_current_fCass_gate__fCass_inf;

         m_gates_tau[9][i] = var_L_type_Ca_current_fCass_gate__tau_fCass;

         outarray[11][i] = var_transient_outward_current_s_gate__s_inf;

         m_gates_tau[10][i] = var_transient_outward_current_s_gate__tau_s;

         outarray[12][i] = var_transient_outward_current_r_gate__r_inf;

         m_gates_tau[11][i] = var_transient_outward_current_r_gate__tau_r;

         outarray[13][i] = d_dt_chaste_interface__calcium_dynamics__Ca_i;

         outarray[14][i] = d_dt_chaste_interface__calcium_dynamics__Ca_SR;

         outarray[15][i] = d_dt_chaste_interface__calcium_dynamics__Ca_ss;

         outarray[16][i] = d_dt_chaste_interface__calcium_dynamics__R_prime;

         outarray[17][i] = d_dt_chaste_interface__sodium_dynamics__Na_i;

         outarray[18][i] = d_dt_chaste_interface__potassium_dynamics__K_i;

     }


 }


 /**

  *

  */

 void TenTusscher06::v_GenerateSummary(SummaryList& s)

 {

     SolverUtils::AddSummaryItem(s, "Cell model", "TenTusscher06");

 }


 /**

  *

  */

 void TenTusscher06::v_SetInitialConditions()

 {

     // Values taken from CellML website

     switch (model_variant)

     {

     case eEpicardium:

         Vmath::Fill(m_nq, -85.23,       m_cellSol[0],   1);

         Vmath::Fill(m_nq, 0.00621,      m_cellSol[1],   1);

         Vmath::Fill(m_nq, 0.4712,       m_cellSol[2],   1);

         Vmath::Fill(m_nq, 0.0095,       m_cellSol[3],   1);

         Vmath::Fill(m_nq, 0.00172,      m_cellSol[4],   1);

         Vmath::Fill(m_nq, 0.7444,       m_cellSol[5],   1);

         Vmath::Fill(m_nq, 0.7045,       m_cellSol[6],   1);

         Vmath::Fill(m_nq, 3.373e-5,     m_cellSol[7],   1);

         Vmath::Fill(m_nq, 0.7888,       m_cellSol[8],   1);

         Vmath::Fill(m_nq, 0.9755,       m_cellSol[9],   1);

         Vmath::Fill(m_nq, 0.9953,       m_cellSol[10],  1);

         Vmath::Fill(m_nq, 0.999998,     m_cellSol[11],  1);

         Vmath::Fill(m_nq, 2.42e-8,      m_cellSol[12],  1);

         Vmath::Fill(m_nq, 0.000126,     m_cellSol[13],  1);

         Vmath::Fill(m_nq, 3.64,         m_cellSol[14],  1);

         Vmath::Fill(m_nq, 0.00036,      m_cellSol[15],  1);

         Vmath::Fill(m_nq, 0.9073,       m_cellSol[16],  1);

         Vmath::Fill(m_nq, 8.604,        m_cellSol[17],  1);

         Vmath::Fill(m_nq, 136.89,       m_cellSol[18],  1);

         break;

     case eEndocardium:

         Vmath::Fill(m_nq, -86.709,      m_cellSol[0],   1);

         Vmath::Fill(m_nq, 0.00448,      m_cellSol[1],   1);

         Vmath::Fill(m_nq, 0.476,        m_cellSol[2],   1);

         Vmath::Fill(m_nq, 0.0087,       m_cellSol[3],   1);

         Vmath::Fill(m_nq, 0.00155,      m_cellSol[4],   1);

         Vmath::Fill(m_nq, 0.7573,       m_cellSol[5],   1);

         Vmath::Fill(m_nq, 0.7225,       m_cellSol[6],   1);

         Vmath::Fill(m_nq, 3.164e-5,     m_cellSol[7],   1);

         Vmath::Fill(m_nq, 0.8009,       m_cellSol[8],   1);

         Vmath::Fill(m_nq, 0.9778,       m_cellSol[9],   1);

         Vmath::Fill(m_nq, 0.9953,       m_cellSol[10],  1);

         Vmath::Fill(m_nq, 0.3212,       m_cellSol[11],  1);

         Vmath::Fill(m_nq, 2.235e-8,     m_cellSol[12],  1);

         Vmath::Fill(m_nq, 0.00013,      m_cellSol[13],  1);

         Vmath::Fill(m_nq, 3.715,        m_cellSol[14],  1);

         Vmath::Fill(m_nq, 0.00036,      m_cellSol[15],  1);

         Vmath::Fill(m_nq, 0.9068,       m_cellSol[16],  1);

         Vmath::Fill(m_nq, 10.355,       m_cellSol[17],  1);

         Vmath::Fill(m_nq, 138.4,        m_cellSol[18],  1);

         break;

     case eMid:

         Vmath::Fill(m_nq, -85.423,      m_cellSol[0],   1);

         Vmath::Fill(m_nq, 0.0165,       m_cellSol[1],   1);

         Vmath::Fill(m_nq, 0.473,        m_cellSol[2],   1);

         Vmath::Fill(m_nq, 0.0174,       m_cellSol[3],   1);

         Vmath::Fill(m_nq, 0.00165,      m_cellSol[4],   1);

         Vmath::Fill(m_nq, 0.749,        m_cellSol[5],   1);

         Vmath::Fill(m_nq, 0.6788,       m_cellSol[6],   1);

         Vmath::Fill(m_nq, 3.288e-5,     m_cellSol[7],   1);

         Vmath::Fill(m_nq, 0.7026,       m_cellSol[8],   1);

         Vmath::Fill(m_nq, 0.9526,       m_cellSol[9],   1);

         Vmath::Fill(m_nq, 0.9942,       m_cellSol[10],  1);

         Vmath::Fill(m_nq, 0.999998,     m_cellSol[11],  1);

         Vmath::Fill(m_nq, 2.347e-8,     m_cellSol[12],  1);

         Vmath::Fill(m_nq, 0.000153,     m_cellSol[13],  1);

         Vmath::Fill(m_nq, 4.272,        m_cellSol[14],  1);

         Vmath::Fill(m_nq, 0.00042,      m_cellSol[15],  1);

         Vmath::Fill(m_nq, 0.8978,       m_cellSol[16],  1);

         Vmath::Fill(m_nq, 10.132,       m_cellSol[17],  1);

         Vmath::Fill(m_nq, 138.52,       m_cellSol[18],  1);

         break;

     case eIschemia:

         Vmath::Fill(m_nq, -85.23,       m_cellSol[0],   1);

         Vmath::Fill(m_nq, 0.00621,      m_cellSol[1],   1);

         Vmath::Fill(m_nq, 0.4712,       m_cellSol[2],   1);

         Vmath::Fill(m_nq, 0.0095,       m_cellSol[3],   1);

         Vmath::Fill(m_nq, 0.00172,      m_cellSol[4],   1);

         Vmath::Fill(m_nq, 0.7444,       m_cellSol[5],   1);

         Vmath::Fill(m_nq, 0.7045,       m_cellSol[6],   1);

         Vmath::Fill(m_nq, 3.373e-5,     m_cellSol[7],   1);

         Vmath::Fill(m_nq, 0.7888,       m_cellSol[8],   1);

         Vmath::Fill(m_nq, 0.9755,       m_cellSol[9],   1);

         Vmath::Fill(m_nq, 0.9953,       m_cellSol[10],  1);

         Vmath::Fill(m_nq, 0.999998,     m_cellSol[11],  1);

         Vmath::Fill(m_nq, 2.42e-8,      m_cellSol[12],  1);

         Vmath::Fill(m_nq, 0.000126,     m_cellSol[13],  1);

         Vmath::Fill(m_nq, 3.64,         m_cellSol[14],  1);

         Vmath::Fill(m_nq, 0.00036,      m_cellSol[15],  1);

         Vmath::Fill(m_nq, 0.9073,       m_cellSol[16],  1);

         Vmath::Fill(m_nq, 8.604,        m_cellSol[17],  1);

         Vmath::Fill(m_nq, 136.89,       m_cellSol[18],  1);

         break;

     }


 }


 }


Nektar::TenTusscher06::s_tau_f5
NekDouble s_tau_f5
Definition: TenTusscher06.h:82

Nektar::TenTusscher06::k_0
NekDouble k_0
Definition: TenTusscher06.h:83

TenTusscher06.h

Nektar
<
Definition: CoupledSolver.h:1

Nektar::TenTusscher06::eEpicardium
Definition: TenTusscher06.h:86

Nektar::CellModel::m_nq
int m_nq
Number of physical points.
Definition: CellModel.h:117

Nektar::LibUtilities::SessionReader::RegisterEnumValue
static std::string RegisterEnumValue(std::string pEnum, std::string pString, int pEnumValue)
Registers an enumeration value.
Definition: SessionReader.h:625

Nektar::TenTusscher06::s_tau_f1
NekDouble s_tau_f1
Definition: TenTusscher06.h:78

Nektar::TenTusscher06::def
static std::string def
Definition: TenTusscher06.h:94

Nektar::SolverUtils::SummaryList
std::vector< std::pair< std::string, std::string > > SummaryList
Definition: Misc.h:47

Nektar::TenTusscher06::className
static std::string className
Name of class.
Definition: TenTusscher06.h:56

Vmath::Fill
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.cpp:46

Nektar::CellModel
Cell model base class.
Definition: CellModel.h:65

Nektar::TenTusscher06::s_tau_f3
NekDouble s_tau_f3
Definition: TenTusscher06.h:80

Nektar::LibUtilities::SessionReaderSharedPtr
boost::shared_ptr< SessionReader > SessionReaderSharedPtr
Definition: MeshPartition.h:51

Nektar::TenTusscher06::TenTusscher06
TenTusscher06(const LibUtilities::SessionReaderSharedPtr &pSession, const MultiRegions::ExpListSharedPtr &pField)
Constructor.
Definition: TenTusscher06.cpp:68

Nektar::Array
Definition: SharedArray.hpp:55

Nektar::TenTusscher06::Variants
Variants
Definition: TenTusscher06.h:85

Nektar::TenTusscher06::create
static CellModelSharedPtr create(const LibUtilities::SessionReaderSharedPtr &pSession, const MultiRegions::ExpListSharedPtr &pField)
Creates an instance of this class.
Definition: TenTusscher06.h:48

Nektar::TenTusscher06::s_tau_f2
NekDouble s_tau_f2
Definition: TenTusscher06.h:79

Nektar::TenTusscher06::lookupIds
static std::string lookupIds[]
Definition: TenTusscher06.h:93

Nektar::CellModel::m_concentrations
std::vector< int > m_concentrations
Indices of cell model variables which are concentrations.
Definition: CellModel.h:139

Nektar::CellModel::m_gates_tau
Array< OneD, Array< OneD, NekDouble > > m_gates_tau
Storage for gate tau values.
Definition: CellModel.h:143

Nektar::SolverUtils::AddSummaryItem
void AddSummaryItem(SummaryList &l, const std::string &name, const std::string &value)
Adds a summary item to the summary info list.
Definition: Misc.cpp:50

Nektar::MultiRegions::ExpListSharedPtr
boost::shared_ptr< ExpList > ExpListSharedPtr
Shared pointer to an ExpList object.
Definition: LocTraceToTraceMap.h:56

Nektar::CellModel::m_cellSol
Array< OneD, Array< OneD, NekDouble > > m_cellSol
Cell model solution variables.
Definition: CellModel.h:126

Nektar::TenTusscher06::s_inf_factor
NekDouble s_inf_factor
Definition: TenTusscher06.h:77

Nektar::CellModel::m_nvar
int m_nvar
Number of variables in cell model (inc. transmembrane voltage)
Definition: CellModel.h:119

Nektar::TenTusscher06::eEndocardium
Definition: TenTusscher06.h:87

Nektar::CellModel::m_gates
std::vector< int > m_gates
Indices of cell model variables which are gates.
Definition: CellModel.h:141

Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44

Nektar::TenTusscher06::model_variant
enum Variants model_variant
Definition: TenTusscher06.h:91

Nektar::TenTusscher06::v_SetInitialConditions
virtual void v_SetInitialConditions()
Definition: TenTusscher06.cpp:505

Nektar::TenTusscher06::eIschemia
Definition: TenTusscher06.h:89

Nektar::TenTusscher06::g_to
NekDouble g_to
Definition: TenTusscher06.h:75

Nektar::GetCellModelFactory
CellModelFactory & GetCellModelFactory()
Definition: CellModel.cpp:47

Nektar::TenTusscher06::s_tau_f4
NekDouble s_tau_f4
Definition: TenTusscher06.h:81

Nektar::TenTusscher06::g_Ks
NekDouble g_Ks
Definition: TenTusscher06.h:76

Nektar::OneD
Definition: NektarUnivTypeDefs.hpp:50

Nektar::TenTusscher06::eMid
Definition: TenTusscher06.h:88

Nektar::LibUtilities::SessionReader::RegisterDefaultSolverInfo
static std::string RegisterDefaultSolverInfo(const std::string &pName, const std::string &pValue)
Registers the default string value of a solver info property.
Definition: SessionReader.h:658

Nektar::TenTusscher06::v_GenerateSummary
virtual void v_GenerateSummary(SummaryList &s)
Prints a summary of the model parameters.
Definition: TenTusscher06.cpp:496

Nektar::TenTusscher06::v_Update
virtual void v_Update(const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)
Definition: TenTusscher06.cpp:148

Nektar::LibUtilities::NekFactory::RegisterCreatorFunction
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, tDescription pDesc="")
Register a class with the factory.
Definition: NekFactory.hpp:215