TenTusscher06.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// 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).
//
// 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",
                                                           "Epicardium");
 
/**
 *
 */
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)
{
    boost::ignore_unused(time);
 
    for (size_t 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;
    }
}
 
} // namespace Nektar