Fox02.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: Fox02.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: Fox 2002 cell model.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <iostream>
#include <string>
// #include <LibUtilities/BasicUtils/Vmath.hpp>
#include <CardiacEPSolver/CellModels/Fox02.h>
 
namespace Nektar
{
std::string Fox02::className = GetCellModelFactory().RegisterCreatorFunction(
    "Fox02", Fox02::create, "Fox 2002 cell model.");
 
/**
 *
 */
Fox02::Fox02(const LibUtilities::SessionReaderSharedPtr &pSession,
             const MultiRegions::ExpListSharedPtr &pField)
    : CellModel(pSession, pField)
{
    pSession->LoadParameter("chi", m_chi);
    pSession->LoadParameter("sigmai", m_sigmai);
 
    m_nvar = 13;
 
    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_concentrations.push_back(11);
    m_concentrations.push_back(12);
}
 
void Fox02::v_Update(const Array<OneD, const Array<OneD, NekDouble>> &inarray,
                     Array<OneD, Array<OneD, NekDouble>> &outarray,
                     [[maybe_unused]] const NekDouble 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: -94.7
        NekDouble var_chaste_interface__fast_sodium_current_m_gate__m =
            inarray[1][i];
        // Units: dimensionless; Initial value: 0.00024676
        NekDouble var_chaste_interface__fast_sodium_current_h_gate__h =
            inarray[2][i];
        // Units: dimensionless; Initial value: 0.99869
        NekDouble var_chaste_interface__fast_sodium_current_j_gate__j =
            inarray[3][i];
        // Units: dimensionless; Initial value: 0.99887
        NekDouble
            var_chaste_interface__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr =
                inarray[4][i];
        // Units: dimensionless; Initial value: 0.229
        NekDouble
            var_chaste_interface__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks =
                inarray[5][i];
        // Units: dimensionless; Initial value: 0.0001
        NekDouble
            var_chaste_interface__transient_outward_potassium_current_X_to_gate__X_to =
                inarray[6][i];
        // Units: dimensionless; Initial value: 0.00003742
        NekDouble
            var_chaste_interface__transient_outward_potassium_current_Y_to_gate__Y_to =
                inarray[7][i];
        // Units: dimensionless; Initial value: 1
        NekDouble var_chaste_interface__L_type_Ca_current_f_gate__f =
            inarray[8][i];
        // Units: dimensionless; Initial value: 0.983
        NekDouble var_chaste_interface__L_type_Ca_current_d_gate__d =
            inarray[9][i];
        // Units: dimensionless; Initial value: 0.0001
        NekDouble var_chaste_interface__L_type_Ca_current_f_Ca_gate__f_Ca =
            inarray[10][i];
        // Units: dimensionless; Initial value: 0.942
        NekDouble var_chaste_interface__calcium_dynamics__Ca_i = inarray[11][i];
        // Units: micromolar; Initial value: 0.0472
        NekDouble var_chaste_interface__calcium_dynamics__Ca_SR =
            inarray[12][i];
        // Units: micromolar; Initial value: 320
 
        // Mathematics
        NekDouble d_dt_chaste_interface__membrane__V;
        const NekDouble var_membrane__R = 8.314; // joule_per_mole_kelvin
        const NekDouble var_membrane__T = 310.0; // kelvin
        const NekDouble var_membrane__F = 96.5;  // coulomb_per_millimole
        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__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_standard_ionic_concentrations__Na_o =
            138.0; // millimolar
        const NekDouble var_standard_ionic_concentrations__Na_i =
            10.0; // millimolar
        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__f_Ca =
            var_chaste_interface__L_type_Ca_current_f_Ca_gate__f_Ca; // dimensionless
        const NekDouble var_L_type_Ca_current__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_L_type_Ca_current__P_Ca =
            1.26e-05; // cm_per_millisecond
        const NekDouble var_L_type_Ca_current__V =
            var_chaste_interface__membrane__V;             // millivolt
        const NekDouble var_L_type_Ca_current__C_sc = 1.0; // microF_per_cm2
        const NekDouble var_L_type_Ca_current__T    = var_membrane__T; // kelvin
        const NekDouble var_standard_ionic_concentrations__Ca_o =
            2000.0; // micromolar
        const NekDouble var_L_type_Ca_current__Ca_o =
            var_standard_ionic_concentrations__Ca_o; // micromolar
        const NekDouble var_L_type_Ca_current__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_L_type_Ca_current__Ca_i =
            var_chaste_interface__calcium_dynamics__Ca_i; // micromolar
        const NekDouble var_L_type_Ca_current__i_Ca_max =
            ((((var_L_type_Ca_current__P_Ca / var_L_type_Ca_current__C_sc) *
               4.0 * var_L_type_Ca_current__V *
               pow(var_L_type_Ca_current__F, 2.0)) /
              (var_L_type_Ca_current__R * var_L_type_Ca_current__T)) *
             ((var_L_type_Ca_current__Ca_i *
               exp((2.0 * var_L_type_Ca_current__V * var_L_type_Ca_current__F) /
                   (var_L_type_Ca_current__R * var_L_type_Ca_current__T))) -
              (0.341 * var_L_type_Ca_current__Ca_o))) /
            (exp((2.0 * var_L_type_Ca_current__V * var_L_type_Ca_current__F) /
                 (var_L_type_Ca_current__R * var_L_type_Ca_current__T)) -
             1.0); // microA_per_microF
        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__i_Ca =
            var_L_type_Ca_current__i_Ca_max * var_L_type_Ca_current__f *
            var_L_type_Ca_current__d *
            var_L_type_Ca_current__f_Ca; // microA_per_microF
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__X_kr =
            var_chaste_interface__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr; // dimensionless
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__X_ks =
            var_chaste_interface__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks; // dimensionless
        const NekDouble var_transient_outward_potassium_current__Y_to =
            var_chaste_interface__transient_outward_potassium_current_Y_to_gate__Y_to; // dimensionless
        const NekDouble var_transient_outward_potassium_current__X_to =
            var_chaste_interface__transient_outward_potassium_current_X_to_gate__X_to; // dimensionless
        const NekDouble var_transient_outward_potassium_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_Na_Ca_exchanger__Na_o =
            var_standard_ionic_concentrations__Na_o;      // millimolar
        const NekDouble var_Na_Ca_exchanger__K_sat = 0.2; // dimensionless
        const NekDouble var_Na_Ca_exchanger__Ca_i =
            var_chaste_interface__calcium_dynamics__Ca_i;  // micromolar
        const NekDouble var_Na_Ca_exchanger__K_mNa = 87.5; // millimolar
        const NekDouble var_Na_Ca_exchanger__Ca_o =
            var_standard_ionic_concentrations__Ca_o; // micromolar
        const NekDouble var_Na_Ca_exchanger__K_NaCa =
            1500.0; // microA_per_microF
        const NekDouble var_Na_Ca_exchanger__T = var_membrane__T; // kelvin
        const NekDouble var_Na_Ca_exchanger__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_Na_Ca_exchanger__Na_i =
            var_standard_ionic_concentrations__Na_i;         // millimolar
        const NekDouble var_Na_Ca_exchanger__eta   = 0.35;   // dimensionless
        const NekDouble var_Na_Ca_exchanger__K_mCa = 1380.0; // micromolar
        const NekDouble var_Na_Ca_exchanger__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_Na_Ca_exchanger__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_Na_Ca_exchanger__i_NaCa =
            (var_Na_Ca_exchanger__K_NaCa /
             ((pow(var_Na_Ca_exchanger__K_mNa, 3.0) +
               pow(var_Na_Ca_exchanger__Na_o, 3.0)) *
              (var_Na_Ca_exchanger__K_mCa + var_Na_Ca_exchanger__Ca_o) *
              (1.0 +
               (var_Na_Ca_exchanger__K_sat *
                exp(((var_Na_Ca_exchanger__eta - 1.0) * var_Na_Ca_exchanger__V *
                     var_Na_Ca_exchanger__F) /
                    (var_Na_Ca_exchanger__R * var_Na_Ca_exchanger__T)))))) *
            ((exp((var_Na_Ca_exchanger__eta * var_Na_Ca_exchanger__V *
                   var_Na_Ca_exchanger__F) /
                  (var_Na_Ca_exchanger__R * var_Na_Ca_exchanger__T)) *
              pow(var_Na_Ca_exchanger__Na_i, 3.0) * var_Na_Ca_exchanger__Ca_o) -
             (exp(((var_Na_Ca_exchanger__eta - 1.0) * var_Na_Ca_exchanger__V *
                   var_Na_Ca_exchanger__F) /
                  (var_Na_Ca_exchanger__R * var_Na_Ca_exchanger__T)) *
              pow(var_Na_Ca_exchanger__Na_o, 3.0) *
              var_Na_Ca_exchanger__Ca_i)); // microA_per_microF
        const NekDouble var_sarcolemmal_calcium_pump__Ca_i =
            var_chaste_interface__calcium_dynamics__Ca_i; // micromolar
        const NekDouble var_sarcolemmal_calcium_pump__i_pCa_max =
            0.05; // microA_per_microF
        const NekDouble var_sarcolemmal_calcium_pump__K_mpCa =
            0.05; // micromolar
        const NekDouble var_sarcolemmal_calcium_pump__i_p_Ca =
            (var_sarcolemmal_calcium_pump__i_pCa_max *
             var_sarcolemmal_calcium_pump__Ca_i) /
            (var_sarcolemmal_calcium_pump__K_mpCa +
             var_sarcolemmal_calcium_pump__Ca_i); // microA_per_microF
        const NekDouble var_calcium_background_current__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_calcium_background_current__Ca_i =
            var_chaste_interface__calcium_dynamics__Ca_i; // micromolar
        const NekDouble var_calcium_background_current__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_calcium_background_current__T =
            var_membrane__T; // kelvin
        const NekDouble var_calcium_background_current__Ca_o =
            var_standard_ionic_concentrations__Ca_o; // micromolar
        const NekDouble var_calcium_background_current__E_Ca =
            ((var_calcium_background_current__R *
              var_calcium_background_current__T) /
             (2.0 * var_calcium_background_current__F)) *
            log(var_calcium_background_current__Ca_o /
                var_calcium_background_current__Ca_i); // millivolt
        const NekDouble var_calcium_background_current__g_Cab =
            0.0003842; // milliS_per_microF
        const NekDouble var_calcium_background_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_calcium_background_current__i_Ca_b =
            var_calcium_background_current__g_Cab *
            (var_calcium_background_current__V -
             var_calcium_background_current__E_Ca); // microA_per_microF
        const NekDouble var_fast_sodium_current_m_gate__m =
            var_fast_sodium_current__m; // dimensionless
        const NekDouble var_fast_sodium_current_m_gate__V =
            var_fast_sodium_current__V; // millivolt
        const NekDouble var_fast_sodium_current_m_gate__E0_m =
            var_fast_sodium_current_m_gate__V + 47.13; // millivolt
        const NekDouble var_fast_sodium_current_m_gate__alpha_m =
            (0.32 * var_fast_sodium_current_m_gate__E0_m) /
            (1.0 -
             exp((-0.1) *
                 var_fast_sodium_current_m_gate__E0_m)); // per_millisecond
        const NekDouble var_fast_sodium_current_m_gate__beta_m =
            0.08 *
            exp((-var_fast_sodium_current_m_gate__V) / 11.0); // per_millisecond
        const NekDouble
            var_fast_sodium_current_m_gate__d_m_d_environment__time =
                (var_fast_sodium_current_m_gate__alpha_m *
                 (1.0 - var_fast_sodium_current_m_gate__m)) -
                (var_fast_sodium_current_m_gate__beta_m *
                 var_fast_sodium_current_m_gate__m); // per_millisecond
        const NekDouble
            var_fast_sodium_current__fast_sodium_current_m_gate__d_m_d_environment__time =
                var_fast_sodium_current_m_gate__d_m_d_environment__time; // per_millisecond
        const NekDouble var_fast_sodium_current_h_gate__V =
            var_fast_sodium_current__V; // millivolt
        const NekDouble var_fast_sodium_current_h_gate__beta_h =
            7.5 / (1.0 + exp((-0.1) * (var_fast_sodium_current_h_gate__V +
                                       11.0))); // per_millisecond
        const NekDouble var_fast_sodium_current_h_gate__alpha_h =
            0.135 * exp((var_fast_sodium_current_h_gate__V + 80.0) /
                        (-6.8)); // per_millisecond
        const NekDouble var_fast_sodium_current_h_gate__h =
            var_fast_sodium_current__h; // dimensionless
        const NekDouble
            var_fast_sodium_current_h_gate__d_h_d_environment__time =
                (var_fast_sodium_current_h_gate__alpha_h *
                 (1.0 - var_fast_sodium_current_h_gate__h)) -
                (var_fast_sodium_current_h_gate__beta_h *
                 var_fast_sodium_current_h_gate__h); // per_millisecond
        const NekDouble
            var_fast_sodium_current__fast_sodium_current_h_gate__d_h_d_environment__time =
                var_fast_sodium_current_h_gate__d_h_d_environment__time; // per_millisecond
        const NekDouble var_fast_sodium_current_j_gate__V =
            var_fast_sodium_current__V; // millivolt
        const NekDouble var_fast_sodium_current_j_gate__alpha_j =
            (0.175 *
             exp((var_fast_sodium_current_j_gate__V + 100.0) / (-23.0))) /
            (1.0 + exp(0.15 * (var_fast_sodium_current_j_gate__V +
                               79.0))); // per_millisecond
        const NekDouble var_fast_sodium_current_j_gate__beta_j =
            0.3 / (1.0 + exp((-0.1) * (var_fast_sodium_current_j_gate__V +
                                       32.0))); // per_millisecond
        const NekDouble var_fast_sodium_current_j_gate__j =
            var_fast_sodium_current__j; // dimensionless
        const NekDouble
            var_fast_sodium_current_j_gate__d_j_d_environment__time =
                (var_fast_sodium_current_j_gate__alpha_j *
                 (1.0 - var_fast_sodium_current_j_gate__j)) -
                (var_fast_sodium_current_j_gate__beta_j *
                 var_fast_sodium_current_j_gate__j); // per_millisecond
        const NekDouble
            var_fast_sodium_current__fast_sodium_current_j_gate__d_j_d_environment__time =
                var_fast_sodium_current_j_gate__d_j_d_environment__time; // per_millisecond
        const NekDouble
            var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__V =
                var_rapid_activating_delayed_rectifiyer_K_current__V; // millivolt
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__tau_X_kr =
            43.0 +
            (1.0 /
             (exp((-5.495) +
                  (0.1691 *
                   var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__V)) +
              exp((-7.677) -
                  (0.0128 *
                   var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__V)))); // millisecond
        const NekDouble
            var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr =
                var_rapid_activating_delayed_rectifiyer_K_current__X_kr; // dimensionless
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr_inf =
            1.0 /
            (1.0 +
             exp((-2.182) -
                 (0.1819 *
                  var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__V))); // dimensionless
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__d_X_kr_d_environment__time =
            (var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr_inf -
             var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr) /
            var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__tau_X_kr; // per_millisecond
        const NekDouble
            var_rapid_activating_delayed_rectifiyer_K_current__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__d_X_kr_d_environment__time =
                var_rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__d_X_kr_d_environment__time; // per_millisecond
        const NekDouble
            var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__V =
                var_slow_activating_delayed_rectifiyer_K_current__V; // millivolt
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__tau_X_ks =
            1.0 /
            (((7.19e-05 *
               (var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__V -
                10.0)) /
              (1.0 -
               exp((-0.148) *
                   (var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__V -
                    10.0)))) +
             ((0.000131 *
               (var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__V -
                10.0)) /
              (exp(0.0687 *
                   (var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__V -
                    10.0)) -
               1.0))); // millisecond
        const NekDouble
            var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks_infinity =
                1.0 /
                (1.0 +
                 exp((var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__V -
                      16.0) /
                     (-13.6))); // dimensionless
        const NekDouble
            var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks =
                var_slow_activating_delayed_rectifiyer_K_current__X_ks; // dimensionless
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__d_X_ks_d_environment__time =
            (var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks_infinity -
             var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks) /
            var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__tau_X_ks; // per_millisecond
        const NekDouble
            var_slow_activating_delayed_rectifiyer_K_current__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__d_X_ks_d_environment__time =
                var_slow_activating_delayed_rectifiyer_K_current_X_ks_gate__d_X_ks_d_environment__time; // per_millisecond
        const NekDouble var_transient_outward_potassium_current_X_to_gate__V =
            var_transient_outward_potassium_current__V; // millivolt
        const NekDouble
            var_transient_outward_potassium_current_X_to_gate__alpha_X_to =
                0.04516 *
                exp(0.03577 *
                    var_transient_outward_potassium_current_X_to_gate__V); // per_millisecond
        const NekDouble
            var_transient_outward_potassium_current_X_to_gate__X_to =
                var_transient_outward_potassium_current__X_to; // dimensionless
        const NekDouble
            var_transient_outward_potassium_current_X_to_gate__beta_X_to =
                0.0989 *
                exp((-0.06237) *
                    var_transient_outward_potassium_current_X_to_gate__V); // per_millisecond
        const NekDouble
            var_transient_outward_potassium_current_X_to_gate__d_X_to_d_environment__time =
                (var_transient_outward_potassium_current_X_to_gate__alpha_X_to *
                 (1.0 -
                  var_transient_outward_potassium_current_X_to_gate__X_to)) -
                (var_transient_outward_potassium_current_X_to_gate__beta_X_to *
                 var_transient_outward_potassium_current_X_to_gate__X_to); // per_millisecond
        const NekDouble
            var_transient_outward_potassium_current__transient_outward_potassium_current_X_to_gate__d_X_to_d_environment__time =
                var_transient_outward_potassium_current_X_to_gate__d_X_to_d_environment__time; // per_millisecond
        const NekDouble var_transient_outward_potassium_current_Y_to_gate__V =
            var_transient_outward_potassium_current__V; // millivolt
        const NekDouble
            var_transient_outward_potassium_current_Y_to_gate__beta_Y_to =
                (0.005415 *
                 exp((var_transient_outward_potassium_current_Y_to_gate__V +
                      33.5) /
                     5.0)) /
                (1.0 +
                 (0.051335 *
                  exp((var_transient_outward_potassium_current_Y_to_gate__V +
                       33.5) /
                      5.0))); // per_millisecond
        const NekDouble
            var_transient_outward_potassium_current_Y_to_gate__alpha_Y_to =
                (0.005415 *
                 exp((var_transient_outward_potassium_current_Y_to_gate__V +
                      33.5) /
                     (-5.0))) /
                (1.0 +
                 (0.051335 *
                  exp((var_transient_outward_potassium_current_Y_to_gate__V +
                       33.5) /
                      (-5.0)))); // per_millisecond
        const NekDouble
            var_transient_outward_potassium_current_Y_to_gate__Y_to =
                var_transient_outward_potassium_current__Y_to; // dimensionless
        const NekDouble
            var_transient_outward_potassium_current_Y_to_gate__d_Y_to_d_environment__time =
                (var_transient_outward_potassium_current_Y_to_gate__alpha_Y_to *
                 (1.0 -
                  var_transient_outward_potassium_current_Y_to_gate__Y_to)) -
                (var_transient_outward_potassium_current_Y_to_gate__beta_Y_to *
                 var_transient_outward_potassium_current_Y_to_gate__Y_to); // per_millisecond
        const NekDouble
            var_transient_outward_potassium_current__transient_outward_potassium_current_Y_to_gate__d_Y_to_d_environment__time =
                var_transient_outward_potassium_current_Y_to_gate__d_Y_to_d_environment__time; // per_millisecond
        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 =
            30.0 +
            (200.0 / (1.0 + exp((var_L_type_Ca_current_f_gate__V + 20.0) /
                                9.5))); // millisecond
        const NekDouble var_L_type_Ca_current_f_gate__f =
            var_L_type_Ca_current__f; // dimensionless
        const NekDouble var_L_type_Ca_current_f_gate__f_infinity =
            1.0 / (1.0 + exp((var_L_type_Ca_current_f_gate__V + 12.5) /
                             5.0)); // dimensionless
        const NekDouble var_L_type_Ca_current_f_gate__d_f_d_environment__time =
            (var_L_type_Ca_current_f_gate__f_infinity -
             var_L_type_Ca_current_f_gate__f) /
            var_L_type_Ca_current_f_gate__tau_f; // per_millisecond
        const NekDouble
            var_L_type_Ca_current__L_type_Ca_current_f_gate__d_f_d_environment__time =
                var_L_type_Ca_current_f_gate__d_f_d_environment__time; // per_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__E0_m =
            var_L_type_Ca_current_d_gate__V + 40.0; // millivolt
        const NekDouble var_L_type_Ca_current_d_gate__tau_d =
            1.0 /
            (((0.25 * exp((-0.01) * var_L_type_Ca_current_d_gate__V)) /
              (1.0 + exp((-0.07) * var_L_type_Ca_current_d_gate__V))) +
             ((0.07 * exp((-0.05) * var_L_type_Ca_current_d_gate__E0_m)) /
              (1.0 +
               exp(0.05 * var_L_type_Ca_current_d_gate__E0_m)))); // millisecond
        const NekDouble var_L_type_Ca_current_d_gate__d =
            var_L_type_Ca_current__d; // dimensionless
        const NekDouble var_L_type_Ca_current_d_gate__d_infinity =
            1.0 / (1.0 + exp((var_L_type_Ca_current_d_gate__V + 10.0) /
                             (-6.24))); // dimensionless
        const NekDouble var_L_type_Ca_current_d_gate__d_d_d_environment__time =
            (var_L_type_Ca_current_d_gate__d_infinity -
             var_L_type_Ca_current_d_gate__d) /
            var_L_type_Ca_current_d_gate__tau_d; // per_millisecond
        const NekDouble
            var_L_type_Ca_current__L_type_Ca_current_d_gate__d_d_d_environment__time =
                var_L_type_Ca_current_d_gate__d_d_d_environment__time; // per_millisecond
        const NekDouble var_L_type_Ca_current_f_Ca_gate__f_Ca =
            var_L_type_Ca_current__f_Ca; // dimensionless
        const NekDouble var_L_type_Ca_current_f_Ca_gate__K_mfCa =
            0.18; // micromolar
        const NekDouble var_L_type_Ca_current_f_Ca_gate__Ca_i =
            var_L_type_Ca_current__Ca_i; // micromolar
        const NekDouble var_L_type_Ca_current_f_Ca_gate__f_Ca_infinity =
            1.0 / (1.0 + pow(var_L_type_Ca_current_f_Ca_gate__Ca_i /
                                 var_L_type_Ca_current_f_Ca_gate__K_mfCa,
                             3.0)); // dimensionless
        const NekDouble var_L_type_Ca_current_f_Ca_gate__tau_f_Ca =
            30.0; // millisecond
        const NekDouble
            var_L_type_Ca_current_f_Ca_gate__d_f_Ca_d_environment__time =
                (var_L_type_Ca_current_f_Ca_gate__f_Ca_infinity -
                 var_L_type_Ca_current_f_Ca_gate__f_Ca) /
                var_L_type_Ca_current_f_Ca_gate__tau_f_Ca; // per_millisecond
        const NekDouble
            var_L_type_Ca_current__L_type_Ca_current_f_Ca_gate__d_f_Ca_d_environment__time =
                var_L_type_Ca_current_f_Ca_gate__d_f_Ca_d_environment__time; // per_millisecond
        const NekDouble var_calcium_dynamics__Ca_i =
            var_chaste_interface__calcium_dynamics__Ca_i;      // micromolar
        const NekDouble var_calcium_dynamics__CMDN_tot = 10.0; // micromolar
        const NekDouble var_calcium_dynamics__K_mCMDN  = 2.0;  // micromolar
        const NekDouble var_calcium_dynamics__beta_i =
            1.0 /
            (1.0 +
             ((var_calcium_dynamics__CMDN_tot * var_calcium_dynamics__K_mCMDN) /
              pow(var_calcium_dynamics__K_mCMDN + var_calcium_dynamics__Ca_i,
                  2.0))); // dimensionless
        const NekDouble var_calcium_dynamics__V_myo = 2.584e-05; // microlitre
        const NekDouble var_calcium_dynamics__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_calcium_dynamics__C_sc =
            var_L_type_Ca_current__C_sc; // microF_per_cm2
        const NekDouble var_calcium_dynamics__A_Cap = 0.0001534; // cm2
        const NekDouble var_calcium_dynamics__Ca_SR =
            var_chaste_interface__calcium_dynamics__Ca_SR; // micromolar
        const NekDouble var_calcium_dynamics__P_rel = 6.0; // per_millisecond
        const NekDouble var_calcium_dynamics__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_calcium_dynamics__f_Ca =
            var_chaste_interface__L_type_Ca_current_f_Ca_gate__f_Ca; // dimensionless
        const NekDouble var_calcium_dynamics__gamma =
            1.0 / (1.0 + pow(2000.0 / var_calcium_dynamics__Ca_SR,
                             3.0)); // dimensionless
        const NekDouble var_calcium_dynamics__d =
            var_chaste_interface__L_type_Ca_current_d_gate__d; // dimensionless
        const NekDouble var_calcium_dynamics__f =
            var_chaste_interface__L_type_Ca_current_f_gate__f; // dimensionless
        const NekDouble var_calcium_dynamics__J_rel =
            (var_calcium_dynamics__P_rel * var_calcium_dynamics__f *
             var_calcium_dynamics__d * var_calcium_dynamics__f_Ca *
             ((var_calcium_dynamics__gamma * var_calcium_dynamics__Ca_SR) -
              var_calcium_dynamics__Ca_i)) /
            (1.0 + (1.65 * exp(var_calcium_dynamics__V /
                               20.0))); // micromolar_per_millisecond
        const NekDouble var_calcium_dynamics__P_leak = 1e-06; // per_millisecond
        const NekDouble var_calcium_dynamics__J_leak =
            var_calcium_dynamics__P_leak *
            (var_calcium_dynamics__Ca_SR -
             var_calcium_dynamics__Ca_i); // micromolar_per_millisecond
        const NekDouble var_calcium_dynamics__K_mup = 0.32; // micromolar
        const NekDouble var_calcium_dynamics__V_up =
            0.1; // micromolar_per_millisecond
        const NekDouble var_calcium_dynamics__J_up =
            var_calcium_dynamics__V_up /
            (1.0 + pow(var_calcium_dynamics__K_mup / var_calcium_dynamics__Ca_i,
                       2.0)); // micromolar_per_millisecond
        const NekDouble var_calcium_dynamics__i_Ca =
            var_L_type_Ca_current__i_Ca; // microA_per_microF
        const NekDouble var_calcium_dynamics__i_Ca_b =
            var_calcium_background_current__i_Ca_b; // microA_per_microF
        const NekDouble var_calcium_dynamics__i_p_Ca =
            var_sarcolemmal_calcium_pump__i_p_Ca; // microA_per_microF
        const NekDouble var_calcium_dynamics__i_NaCa =
            var_Na_Ca_exchanger__i_NaCa; // microA_per_microF
        const NekDouble var_calcium_dynamics__K_mCSQN  = 600.0;   // micromolar
        const NekDouble var_calcium_dynamics__CSQN_tot = 10000.0; // micromolar
        const NekDouble var_calcium_dynamics__V_SR     = 2e-06;   // microlitre
        const NekDouble var_calcium_dynamics__beta_SR =
            1.0 /
            (1.0 +
             ((var_calcium_dynamics__CSQN_tot * var_calcium_dynamics__K_mCSQN) /
              pow(var_calcium_dynamics__K_mCSQN + var_calcium_dynamics__Ca_SR,
                  2.0))); // dimensionless
        const NekDouble var_calcium_dynamics__d_Ca_i_d_environment__time =
            var_calcium_dynamics__beta_i *
            (((var_calcium_dynamics__J_rel + var_calcium_dynamics__J_leak) -
              var_calcium_dynamics__J_up) -
             (((var_calcium_dynamics__A_Cap * var_calcium_dynamics__C_sc) /
               (2.0 * var_calcium_dynamics__F * var_calcium_dynamics__V_myo)) *
              ((var_calcium_dynamics__i_Ca + var_calcium_dynamics__i_Ca_b +
                var_calcium_dynamics__i_p_Ca) -
               (2.0 * var_calcium_dynamics__i_NaCa)))); // 'micromole per litre
                                                        // per millisecond'
        const NekDouble var_calcium_dynamics__d_Ca_SR_d_environment__time =
            (var_calcium_dynamics__beta_SR *
             ((var_calcium_dynamics__J_up - var_calcium_dynamics__J_leak) -
              var_calcium_dynamics__J_rel) *
             var_calcium_dynamics__V_myo) /
            var_calcium_dynamics__V_SR; // 'micromole per litre per millisecond'
        const NekDouble
            var_chaste_interface__fast_sodium_current_m_gate__d_m_d_environment__time =
                var_fast_sodium_current__fast_sodium_current_m_gate__d_m_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__fast_sodium_current_h_gate__d_h_d_environment__time =
                var_fast_sodium_current__fast_sodium_current_h_gate__d_h_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__fast_sodium_current_j_gate__d_j_d_environment__time =
                var_fast_sodium_current__fast_sodium_current_j_gate__d_j_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__d_X_kr_d_environment__time =
                var_rapid_activating_delayed_rectifiyer_K_current__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__d_X_kr_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__d_X_ks_d_environment__time =
                var_slow_activating_delayed_rectifiyer_K_current__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__d_X_ks_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__transient_outward_potassium_current_X_to_gate__d_X_to_d_environment__time =
                var_transient_outward_potassium_current__transient_outward_potassium_current_X_to_gate__d_X_to_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__transient_outward_potassium_current_Y_to_gate__d_Y_to_d_environment__time =
                var_transient_outward_potassium_current__transient_outward_potassium_current_Y_to_gate__d_Y_to_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__L_type_Ca_current_f_gate__d_f_d_environment__time =
                var_L_type_Ca_current__L_type_Ca_current_f_gate__d_f_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__L_type_Ca_current_d_gate__d_d_d_environment__time =
                var_L_type_Ca_current__L_type_Ca_current_d_gate__d_d_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__L_type_Ca_current_f_Ca_gate__d_f_Ca_d_environment__time =
                var_L_type_Ca_current__L_type_Ca_current_f_Ca_gate__d_f_Ca_d_environment__time; // per_millisecond
        const NekDouble
            var_chaste_interface__calcium_dynamics__d_Ca_i_d_environment__time =
                var_calcium_dynamics__d_Ca_i_d_environment__time; // micromolar_per_millisecond
        const NekDouble
            var_chaste_interface__calcium_dynamics__d_Ca_SR_d_environment__time =
                var_calcium_dynamics__d_Ca_SR_d_environment__time; // micromolar_per_millisecond
        const NekDouble d_dt_chaste_interface__fast_sodium_current_m_gate__m =
            var_chaste_interface__fast_sodium_current_m_gate__d_m_d_environment__time; // per_millisecond
        const NekDouble d_dt_chaste_interface__fast_sodium_current_h_gate__h =
            var_chaste_interface__fast_sodium_current_h_gate__d_h_d_environment__time; // per_millisecond
        const NekDouble d_dt_chaste_interface__fast_sodium_current_j_gate__j =
            var_chaste_interface__fast_sodium_current_j_gate__d_j_d_environment__time; // per_millisecond
        const NekDouble
            d_dt_chaste_interface__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr =
                var_chaste_interface__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__d_X_kr_d_environment__time; // per_millisecond
        const NekDouble
            d_dt_chaste_interface__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks =
                var_chaste_interface__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__d_X_ks_d_environment__time; // per_millisecond
        const NekDouble
            d_dt_chaste_interface__transient_outward_potassium_current_X_to_gate__X_to =
                var_chaste_interface__transient_outward_potassium_current_X_to_gate__d_X_to_d_environment__time; // per_millisecond
        const NekDouble
            d_dt_chaste_interface__transient_outward_potassium_current_Y_to_gate__Y_to =
                var_chaste_interface__transient_outward_potassium_current_Y_to_gate__d_Y_to_d_environment__time; // per_millisecond
        const NekDouble d_dt_chaste_interface__L_type_Ca_current_f_gate__f =
            var_chaste_interface__L_type_Ca_current_f_gate__d_f_d_environment__time; // per_millisecond
        const NekDouble d_dt_chaste_interface__L_type_Ca_current_d_gate__d =
            var_chaste_interface__L_type_Ca_current_d_gate__d_d_d_environment__time; // per_millisecond
        const NekDouble d_dt_chaste_interface__L_type_Ca_current_f_Ca_gate__f_Ca =
            var_chaste_interface__L_type_Ca_current_f_Ca_gate__d_f_Ca_d_environment__time; // per_millisecond
        const NekDouble d_dt_chaste_interface__calcium_dynamics__Ca_i =
            var_chaste_interface__calcium_dynamics__d_Ca_i_d_environment__time; // 'micromole 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; // 'micromole per litre per millisecond'
 
        const NekDouble var_fast_sodium_current__g_Na =
            12.8; // milliS_per_microF
        const NekDouble var_fast_sodium_current__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_fast_sodium_current__Na_o =
            var_standard_ionic_concentrations__Na_o; // millimolar
        const NekDouble var_fast_sodium_current__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_fast_sodium_current__T = var_membrane__T; // kelvin
        const NekDouble var_fast_sodium_current__Na_i =
            var_standard_ionic_concentrations__Na_i; // millimolar
        const NekDouble var_fast_sodium_current__E_Na =
            ((var_fast_sodium_current__R * var_fast_sodium_current__T) /
             var_fast_sodium_current__F) *
            log(var_fast_sodium_current__Na_o /
                var_fast_sodium_current__Na_i); // 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); // microA_per_microF
        const NekDouble var_membrane__i_Na =
            var_fast_sodium_current__i_Na; // microA_per_microF
        const NekDouble var_membrane__i_Ca =
            var_L_type_Ca_current__i_Ca; // microA_per_microF
        const NekDouble var_L_type_Ca_current__P_CaK =
            5.79e-07; // cm_per_millisecond
        const NekDouble var_standard_ionic_concentrations__K_o =
            4.0; // millimolar
        const NekDouble var_L_type_Ca_current__K_o =
            var_standard_ionic_concentrations__K_o; // millimolar
        const NekDouble var_L_type_Ca_current__i_Ca_half =
            -0.265; // microA_per_microF
        const NekDouble var_standard_ionic_concentrations__K_i =
            149.4; // millimolar
        const NekDouble var_L_type_Ca_current__K_i =
            var_standard_ionic_concentrations__K_i; // millimolar
        const NekDouble var_L_type_Ca_current__i_CaK =
            ((((((var_L_type_Ca_current__P_CaK / var_L_type_Ca_current__C_sc) *
                 var_L_type_Ca_current__f * var_L_type_Ca_current__d *
                 var_L_type_Ca_current__f_Ca) /
                (1.0 + (var_L_type_Ca_current__i_Ca_max /
                        var_L_type_Ca_current__i_Ca_half))) *
               1000.0 * var_L_type_Ca_current__V *
               pow(var_L_type_Ca_current__F, 2.0)) /
              (var_L_type_Ca_current__R * var_L_type_Ca_current__T)) *
             ((var_L_type_Ca_current__K_i *
               exp((var_L_type_Ca_current__V * var_L_type_Ca_current__F) /
                   (var_L_type_Ca_current__R * var_L_type_Ca_current__T))) -
              var_L_type_Ca_current__K_o)) /
            (exp((var_L_type_Ca_current__V * var_L_type_Ca_current__F) /
                 (var_L_type_Ca_current__R * var_L_type_Ca_current__T)) -
             1.0); // microA_per_microF
        const NekDouble var_membrane__i_CaK =
            var_L_type_Ca_current__i_CaK; // microA_per_microF
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__K_o =
            var_standard_ionic_concentrations__K_o; // millimolar
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__K_i =
            var_standard_ionic_concentrations__K_i; // millimolar
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__T =
            var_membrane__T; // kelvin
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__E_K =
            ((var_rapid_activating_delayed_rectifiyer_K_current__R *
              var_rapid_activating_delayed_rectifiyer_K_current__T) /
             var_rapid_activating_delayed_rectifiyer_K_current__F) *
            log(var_rapid_activating_delayed_rectifiyer_K_current__K_o /
                var_rapid_activating_delayed_rectifiyer_K_current__K_i); // millivolt
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__R_V =
            1.0 /
            (1.0 +
             (2.5 *
              exp(0.1 * (var_rapid_activating_delayed_rectifiyer_K_current__V +
                         28.0)))); // dimensionless
        const NekDouble
            var_rapid_activating_delayed_rectifiyer_K_current__g_Kr =
                0.0136; // milliS_per_microF
        const NekDouble var_rapid_activating_delayed_rectifiyer_K_current__i_Kr =
            var_rapid_activating_delayed_rectifiyer_K_current__g_Kr *
            var_rapid_activating_delayed_rectifiyer_K_current__R_V *
            var_rapid_activating_delayed_rectifiyer_K_current__X_kr *
            sqrt(var_rapid_activating_delayed_rectifiyer_K_current__K_o / 4.0) *
            (var_rapid_activating_delayed_rectifiyer_K_current__V -
             var_rapid_activating_delayed_rectifiyer_K_current__E_K); // microA_per_microF
        const NekDouble var_membrane__i_Kr =
            var_rapid_activating_delayed_rectifiyer_K_current__i_Kr; // microA_per_microF
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__g_Ks =
            0.0245; // milliS_per_microF
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__T =
            var_membrane__T; // kelvin
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__K_o =
            var_standard_ionic_concentrations__K_o; // millimolar
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__Na_o =
            var_standard_ionic_concentrations__Na_o; // millimolar
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__Na_i =
            var_standard_ionic_concentrations__Na_i; // millimolar
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__K_i =
            var_standard_ionic_concentrations__K_i; // millimolar
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__E_Ks =
            ((var_slow_activating_delayed_rectifiyer_K_current__R *
              var_slow_activating_delayed_rectifiyer_K_current__T) /
             var_slow_activating_delayed_rectifiyer_K_current__F) *
            log((var_slow_activating_delayed_rectifiyer_K_current__K_o +
                 (0.01833 *
                  var_slow_activating_delayed_rectifiyer_K_current__Na_o)) /
                (var_slow_activating_delayed_rectifiyer_K_current__K_i +
                 (0.01833 *
                  var_slow_activating_delayed_rectifiyer_K_current__Na_i))); // millivolt
        const NekDouble var_slow_activating_delayed_rectifiyer_K_current__i_Ks =
            var_slow_activating_delayed_rectifiyer_K_current__g_Ks *
            pow(var_slow_activating_delayed_rectifiyer_K_current__X_ks, 2.0) *
            (var_slow_activating_delayed_rectifiyer_K_current__V -
             var_slow_activating_delayed_rectifiyer_K_current__E_Ks); // microA_per_microF
        const NekDouble var_membrane__i_Ks =
            var_slow_activating_delayed_rectifiyer_K_current__i_Ks; // microA_per_microF
        const NekDouble var_transient_outward_potassium_current__g_to =
            0.23815; // milliS_per_microF
        const NekDouble var_transient_outward_potassium_current__E_K =
            var_rapid_activating_delayed_rectifiyer_K_current__E_K; // millivolt
        const NekDouble var_transient_outward_potassium_current__i_to =
            var_transient_outward_potassium_current__g_to *
            var_transient_outward_potassium_current__X_to *
            var_transient_outward_potassium_current__Y_to *
            (var_transient_outward_potassium_current__V -
             var_transient_outward_potassium_current__E_K); // microA_per_microF
        const NekDouble var_membrane__i_to =
            var_transient_outward_potassium_current__i_to; // microA_per_microF
        const NekDouble var_time_independent_potassium_current__E_K =
            var_rapid_activating_delayed_rectifiyer_K_current__E_K; // millivolt
        const NekDouble var_time_independent_potassium_current__K_o =
            var_standard_ionic_concentrations__K_o; // millimolar
        const NekDouble var_time_independent_potassium_current__g_K1 =
            2.8; // milliS_per_microF
        const NekDouble var_time_independent_potassium_current__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_time_independent_potassium_current_K1_gate__F =
            var_time_independent_potassium_current__F; // coulomb_per_millimole
        const NekDouble var_time_independent_potassium_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_time_independent_potassium_current_K1_gate__V =
            var_time_independent_potassium_current__V; // millivolt
        const NekDouble var_time_independent_potassium_current__T =
            var_membrane__T; // kelvin
        const NekDouble var_time_independent_potassium_current_K1_gate__T =
            var_time_independent_potassium_current__T; // kelvin
        const NekDouble var_time_independent_potassium_current_K1_gate__E_K =
            var_time_independent_potassium_current__E_K; // millivolt
        const NekDouble var_time_independent_potassium_current__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_time_independent_potassium_current_K1_gate__R =
            var_time_independent_potassium_current__R; // joule_per_mole_kelvin
        const NekDouble
            var_time_independent_potassium_current_K1_gate__K1_infinity =
                1.0 /
                (2.0 +
                 exp(((1.62 *
                       var_time_independent_potassium_current_K1_gate__F) /
                      (var_time_independent_potassium_current_K1_gate__R *
                       var_time_independent_potassium_current_K1_gate__T)) *
                     (var_time_independent_potassium_current_K1_gate__V -
                      var_time_independent_potassium_current_K1_gate__E_K))); // dimensionless
        const NekDouble var_time_independent_potassium_current__K1_infinity =
            var_time_independent_potassium_current_K1_gate__K1_infinity; // dimensionless
        const NekDouble var_time_independent_potassium_current__K_mK1 =
            13.0; // millimolar
        const NekDouble var_time_independent_potassium_current__i_K1 =
            ((var_time_independent_potassium_current__g_K1 *
              var_time_independent_potassium_current__K1_infinity *
              var_time_independent_potassium_current__K_o) /
             (var_time_independent_potassium_current__K_o +
              var_time_independent_potassium_current__K_mK1)) *
            (var_time_independent_potassium_current__V -
             var_time_independent_potassium_current__E_K); // microA_per_microF
        const NekDouble var_membrane__i_K1 =
            var_time_independent_potassium_current__i_K1; // microA_per_microF
        const NekDouble var_plateau_potassium_current__g_Kp =
            0.002216; // milliS_per_microF
        const NekDouble var_plateau_potassium_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_plateau_potassium_current_Kp_gate__V =
            var_plateau_potassium_current__V; // millivolt
        const NekDouble var_plateau_potassium_current_Kp_gate__Kp_V =
            1.0 /
            (1.0 + exp((7.488 - var_plateau_potassium_current_Kp_gate__V) /
                       5.98)); // dimensionless
        const NekDouble var_plateau_potassium_current__Kp_V =
            var_plateau_potassium_current_Kp_gate__Kp_V; // dimensionless
        const NekDouble var_plateau_potassium_current__E_K =
            var_rapid_activating_delayed_rectifiyer_K_current__E_K; // millivolt
        const NekDouble var_plateau_potassium_current__i_Kp =
            var_plateau_potassium_current__g_Kp *
            var_plateau_potassium_current__Kp_V *
            (var_plateau_potassium_current__V -
             var_plateau_potassium_current__E_K); // microA_per_microF
        const NekDouble var_membrane__i_Kp =
            var_plateau_potassium_current__i_Kp; // microA_per_microF
        const NekDouble var_membrane__i_NaCa =
            var_Na_Ca_exchanger__i_NaCa; // microA_per_microF
        const NekDouble var_sodium_potassium_pump__K_mNai = 10.0; // millimolar
        const NekDouble var_sodium_potassium_pump__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_sodium_potassium_pump__F =
            var_membrane__F; // coulomb_per_millimole
        const NekDouble var_sodium_potassium_pump__T =
            var_membrane__T; // kelvin
        const NekDouble var_sodium_potassium_pump__Na_o =
            var_standard_ionic_concentrations__Na_o; // millimolar
        const NekDouble var_sodium_potassium_pump__sigma =
            (1.0 / 7.0) * (exp(var_sodium_potassium_pump__Na_o / 67.3) -
                           1.0); // dimensionless
        const NekDouble var_sodium_potassium_pump__R =
            var_membrane__R; // joule_per_mole_kelvin
        const NekDouble var_sodium_potassium_pump__f_NaK =
            1.0 / (1.0 +
                   (0.1245 * exp(((-0.1) * var_sodium_potassium_pump__V *
                                  var_sodium_potassium_pump__F) /
                                 (var_sodium_potassium_pump__R *
                                  var_sodium_potassium_pump__T))) +
                   (0.0365 * var_sodium_potassium_pump__sigma *
                    exp(((-var_sodium_potassium_pump__V) *
                         var_sodium_potassium_pump__F) /
                        (var_sodium_potassium_pump__R *
                         var_sodium_potassium_pump__T)))); // dimensionless
        const NekDouble var_sodium_potassium_pump__i_NaK_max =
            0.693; // microA_per_microF
        const NekDouble var_sodium_potassium_pump__K_o =
            var_standard_ionic_concentrations__K_o; // millimolar
        const NekDouble var_sodium_potassium_pump__Na_i =
            var_standard_ionic_concentrations__Na_i;            // millimolar
        const NekDouble var_sodium_potassium_pump__K_mKo = 1.5; // millimolar
        const NekDouble var_sodium_potassium_pump__i_NaK =
            (((var_sodium_potassium_pump__i_NaK_max *
               var_sodium_potassium_pump__f_NaK) /
              (1.0 + pow(var_sodium_potassium_pump__K_mNai /
                             var_sodium_potassium_pump__Na_i,
                         1.5))) *
             var_sodium_potassium_pump__K_o) /
            (var_sodium_potassium_pump__K_o +
             var_sodium_potassium_pump__K_mKo); // microA_per_microF
        const NekDouble var_membrane__i_NaK =
            var_sodium_potassium_pump__i_NaK; // microA_per_microF
        const NekDouble var_membrane__i_p_Ca =
            var_sarcolemmal_calcium_pump__i_p_Ca; // microA_per_microF
        const NekDouble var_membrane__i_Ca_b =
            var_calcium_background_current__i_Ca_b; // microA_per_microF
        const NekDouble var_sodium_background_current__g_Nab =
            0.0031; // milliS_per_microF
        const NekDouble var_sodium_background_current__V =
            var_chaste_interface__membrane__V; // millivolt
        const NekDouble var_sodium_background_current__E_Na =
            var_fast_sodium_current__E_Na; // millivolt
        const NekDouble var_sodium_background_current__i_Na_b =
            var_sodium_background_current__g_Nab *
            (var_sodium_background_current__V -
             var_sodium_background_current__E_Na); // microA_per_microF
        const NekDouble var_membrane__i_Na_b =
            var_sodium_background_current__i_Na_b; // microA_per_microF
        const NekDouble var_chaste_interface__membrane__i_Stim = 0.0;
        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; // microA_per_microF
        const NekDouble var_membrane__d_V_d_environment__time =
            -(var_membrane__i_Na + var_membrane__i_Ca + var_membrane__i_CaK +
              var_membrane__i_Kr + var_membrane__i_Ks + var_membrane__i_to +
              var_membrane__i_K1 + var_membrane__i_Kp + var_membrane__i_NaCa +
              var_membrane__i_NaK + var_membrane__i_p_Ca +
              var_membrane__i_Na_b + var_membrane__i_Ca_b +
              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] = d_dt_chaste_interface__fast_sodium_current_m_gate__m;
        outarray[2][i] = d_dt_chaste_interface__fast_sodium_current_h_gate__h;
        outarray[3][i] = d_dt_chaste_interface__fast_sodium_current_j_gate__j;
        outarray[4][i] =
            d_dt_chaste_interface__rapid_activating_delayed_rectifiyer_K_current_X_kr_gate__X_kr;
        outarray[5][i] =
            d_dt_chaste_interface__slow_activating_delayed_rectifiyer_K_current_X_ks_gate__X_ks;
        outarray[6][i] =
            d_dt_chaste_interface__transient_outward_potassium_current_X_to_gate__X_to;
        outarray[7][i] =
            d_dt_chaste_interface__transient_outward_potassium_current_Y_to_gate__Y_to;
        outarray[8][i] = d_dt_chaste_interface__L_type_Ca_current_f_gate__f;
        outarray[9][i] = d_dt_chaste_interface__L_type_Ca_current_d_gate__d;
        outarray[10][i] =
            d_dt_chaste_interface__L_type_Ca_current_f_Ca_gate__f_Ca;
        outarray[11][i] = d_dt_chaste_interface__calcium_dynamics__Ca_i;
        outarray[12][i] = d_dt_chaste_interface__calcium_dynamics__Ca_SR;
    }
}
 
/**
 *
 */
void Fox02::v_GenerateSummary(SummaryList &s)
{
    SolverUtils::AddSummaryItem(s, "Cell model", "Fox02");
}
 
/**
 *
 */
void Fox02::v_SetInitialConditions()
{
    Vmath::Fill(m_nq, -94.7, m_cellSol[0], 1);
    Vmath::Fill(m_nq, 0.00024676, m_cellSol[1], 1);
    Vmath::Fill(m_nq, 0.99869, m_cellSol[2], 1);
    Vmath::Fill(m_nq, 0.99887, m_cellSol[3], 1);
    Vmath::Fill(m_nq, 0.229, m_cellSol[4], 1);
    Vmath::Fill(m_nq, 0.0001, m_cellSol[5], 1);
    Vmath::Fill(m_nq, 0.00003742, m_cellSol[6], 1);
    Vmath::Fill(m_nq, 1.0, m_cellSol[7], 1);
    Vmath::Fill(m_nq, 0.0472, m_cellSol[8], 1);
    Vmath::Fill(m_nq, 0.983, m_cellSol[9], 1);
    Vmath::Fill(m_nq, 0.0001, m_cellSol[10], 1);
    Vmath::Fill(m_nq, 0.942, m_cellSol[11], 1);
    Vmath::Fill(m_nq, 320.0, m_cellSol[12], 1);
}
} // namespace Nektar