#include <LuoRudy91.h>

Inheritance diagram for Nektar::LuoRudy91:

Public Member Functions
	LuoRudy91 (const LibUtilities::SessionReaderSharedPtr &pSession, const MultiRegions::ExpListSharedPtr &pField)
	Constructor. More...

virtual	~LuoRudy91 ()
	Destructor. More...

Public Member Functions inherited from Nektar::CellModel
	CellModel (const LibUtilities::SessionReaderSharedPtr &pSession, const MultiRegions::ExpListSharedPtr &pField)

virtual	~CellModel ()

void	Initialise ()
	Initialise the cell model storage and set initial conditions. More...

void	TimeIntegrate (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Time integrate the cell model by one PDE timestep. More...

void	Update (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Compute the derivatives of cell model variables. More...

void	GenerateSummary (SummaryList &s)
	Print a summary of the cell model. More...

unsigned int	GetNumCellVariables ()

std::string	GetCellVarName (unsigned int idx)

Array< OneD, NekDouble >	GetCellSolutionCoeffs (unsigned int idx)

Array< OneD, NekDouble >	GetCellSolution (unsigned int idx)

Static Public Member Functions
static CellModelSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession, const MultiRegions::ExpListSharedPtr &pField)
	Creates an instance of this class. More...

Static Public Attributes
static std::string	className
	Name of class. More...

Protected Member Functions
virtual void	v_Update (const Array< OneD, const Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const NekDouble time)
	Computes the reaction terms $f(u,v)$ and $g(u,v)$. More...

virtual void	v_GenerateSummary (SummaryList &s)
	Prints a summary of the model parameters. More...

virtual void	v_SetInitialConditions ()
	Set initial conditions for the cell model. More...

Protected Member Functions inherited from Nektar::CellModel
virtual std::string	v_GetCellVarName (unsigned int idx)

void	LoadCellModel ()

Additional Inherited Members
Protected Attributes inherited from Nektar::CellModel
LibUtilities::SessionReaderSharedPtr	m_session
	Session. More...

MultiRegions::ExpListSharedPtr	m_field
	Transmembrane potential field from PDE system. More...

int	m_nq
	Number of physical points. More...

int	m_nvar
	Number of variables in cell model (inc. transmembrane voltage) More...

NekDouble	m_lastTime
	Timestep for pde model. More...

int	m_substeps
	Number of substeps to take. More...

Array< OneD, Array< OneD, NekDouble > >	m_cellSol
	Cell model solution variables. More...

Array< OneD, Array< OneD, NekDouble > >	m_wsp
	Cell model integration workspace. More...

bool	m_useNodal
	Flag indicating whether nodal projection in use. More...

StdRegions::StdNodalTriExpSharedPtr	m_nodalTri
	StdNodalTri for cell model calculations. More...

StdRegions::StdNodalTetExpSharedPtr	m_nodalTet

Array< OneD, Array< OneD, NekDouble > >	m_nodalTmp
	Temporary array for nodal projection. More...

std::vector< int >	m_concentrations
	Indices of cell model variables which are concentrations. More...

std::vector< int >	m_gates
	Indices of cell model variables which are gates. More...

Array< OneD, Array< OneD, NekDouble > >	m_gates_tau
	Storage for gate tau values. More...

Detailed Description

Definition at line 41 of file LuoRudy91.h.

Constructor & Destructor Documentation

◆ LuoRudy91()

Nektar::LuoRudy91::LuoRudy91	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const MultiRegions::ExpListSharedPtr &	pField
	)

Constructor.

Definition at line 27 of file LuoRudy91.cpp.

     : CellModel(pSession, pField)
 {
     m_nq = pField->GetNpoints();
  
     m_nvar = 8;
     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_concentrations.push_back(7);
 }

References Nektar::CellModel::m_concentrations, Nektar::CellModel::m_gates, Nektar::CellModel::m_nq, and Nektar::CellModel::m_nvar.

◆ ~LuoRudy91()

virtual Nektar::LuoRudy91::~LuoRudy91 ( )

inlinevirtual

Destructor.

Definition at line 61 of file LuoRudy91.h.

62 {

63 }

Member Function Documentation

◆ create()

static CellModelSharedPtr Nektar::LuoRudy91::create	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const MultiRegions::ExpListSharedPtr &	pField
	)

inlinestatic

Creates an instance of this class.

Definition at line 46 of file LuoRudy91.h.

     {
         return MemoryManager<LuoRudy91>::AllocateSharedPtr(pSession, pField);
     }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr().

◆ v_GenerateSummary()

void Nektar::LuoRudy91::v_GenerateSummary ( SummaryList & s )

protectedvirtual

Prints a summary of the model parameters.

Implements Nektar::CellModel.

Definition at line 507 of file LuoRudy91.cpp.

 {
     SolverUtils::AddSummaryItem(s, "Cell model", "Luo-Rudy 1991");
 }

References Nektar::SolverUtils::AddSummaryItem().

◆ v_SetInitialConditions()

void Nektar::LuoRudy91::v_SetInitialConditions ( )

protectedvirtual

Set initial conditions for the cell model.

Implements Nektar::CellModel.

Definition at line 515 of file LuoRudy91.cpp.

 {
     Vmath::Fill(m_nq, -84.3801107371, m_cellSol[0], 1);
     Vmath::Fill(m_nq, 0.00171338077730188, m_cellSol[1], 1);
     Vmath::Fill(m_nq, 0.982660523699656, m_cellSol[2], 1);
     Vmath::Fill(m_nq, 0.989108212766685, m_cellSol[3], 1);
     Vmath::Fill(m_nq, 0.00017948816388306, m_cellSol[4], 1);
     Vmath::Fill(m_nq, 0.00302126301779861, m_cellSol[5], 1);
     Vmath::Fill(m_nq, 0.999967936476325, m_cellSol[6], 1);
     Vmath::Fill(m_nq, 0.0417603108167287, m_cellSol[7], 1);
 }

References Vmath::Fill(), Nektar::CellModel::m_cellSol, and Nektar::CellModel::m_nq.

◆ v_Update()

void Nektar::LuoRudy91::v_Update	(	const Array< OneD, const Array< OneD, NekDouble >> &	inarray,
		Array< OneD, Array< OneD, NekDouble >> &	outarray,
		const NekDouble	time
	)

protectedvirtual

Computes the reaction terms $f(u,v)$ and $g(u,v)$.

Implements Nektar::CellModel.

Definition at line 43 of file LuoRudy91.cpp.

 {
     for (unsigned int i = 0; i < m_nq; ++i)
     {
         // Inputs:
         // Time units: millisecond
         NekDouble var_chaste_interface__membrane__V = inarray[0][i];
         // Units: millivolt; Initial value: -84.3801107371
         NekDouble var_chaste_interface__fast_sodium_current_m_gate__m =
             inarray[1][i];
         // Units: dimensionless; Initial value: 0.00171338077730188
         NekDouble var_chaste_interface__fast_sodium_current_h_gate__h =
             inarray[2][i];
         // Units: dimensionless; Initial value: 0.982660523699656
         NekDouble var_chaste_interface__fast_sodium_current_j_gate__j =
             inarray[3][i];
         // Units: dimensionless; Initial value: 0.989108212766685
         NekDouble var_chaste_interface__slow_inward_current_d_gate__d =
             inarray[4][i];
         // Units: dimensionless; Initial value: 0.00302126301779861
         NekDouble var_chaste_interface__slow_inward_current_f_gate__f =
             inarray[5][i];
         // Units: dimensionless; Initial value: 0.999967936476325
         NekDouble
             var_chaste_interface__time_dependent_potassium_current_X_gate__X =
                 inarray[6][i];
         // Units: dimensionless; Initial value: 0.0417603108167287
         NekDouble
             var_chaste_interface__intracellular_calcium_concentration__Cai =
                 inarray[7][i];
         // Units: millimolar; Initial value: 0.00017948816388306
  
         // Mathematics
         NekDouble d_dt_chaste_interface__membrane__V;
         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_slow_inward_current__d =
             var_chaste_interface__slow_inward_current_d_gate__d; // dimensionless
         const NekDouble var_slow_inward_current__f =
             var_chaste_interface__slow_inward_current_f_gate__f; // dimensionless
         const NekDouble var_slow_inward_current__V =
             var_chaste_interface__membrane__V; // millivolt
         const NekDouble var_slow_inward_current__Cai =
             var_chaste_interface__intracellular_calcium_concentration__Cai; // millimolar
         const NekDouble var_slow_inward_current__E_si =
             7.7 -
             (13.0287 * log(var_slow_inward_current__Cai / 1.0)); // millivolt
         const NekDouble var_slow_inward_current__i_si =
             0.09 * var_slow_inward_current__d * var_slow_inward_current__f *
             (var_slow_inward_current__V -
              var_slow_inward_current__E_si); // microA_per_cm2
         const NekDouble var_time_dependent_potassium_current__V =
             var_chaste_interface__membrane__V; // millivolt
         const NekDouble var_time_dependent_potassium_current__X =
             var_chaste_interface__time_dependent_potassium_current_X_gate__X; // dimensionless
 #if 0 
             const NekDouble var_fast_sodium_current_m_gate__m = var_fast_sodium_current__m; // dimensionless
 #endif
         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 =
             (0.32 * (var_fast_sodium_current_m_gate__V + 47.13)) /
             (1.0 - exp((-0.1) * (var_fast_sodium_current_m_gate__V +
                                  47.13))); // 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
 #if 0 
             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
 #endif
         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 =
             (var_fast_sodium_current_h_gate__V < (-40.0))
                 ? ((3.56 * exp(0.079 * var_fast_sodium_current_h_gate__V)) +
                    (310000.0 * exp(0.35 * var_fast_sodium_current_h_gate__V)))
                 : (1.0 / (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))
                 ? (0.135 *
                    exp((80.0 + var_fast_sodium_current_h_gate__V) / (-6.8)))
                 : 0.0; // per_millisecond
 #if 0 
             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
 #endif
         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 =
             (var_fast_sodium_current_j_gate__V < (-40.0))
                 ? (((((-127140.0) *
                       exp(0.2444 * var_fast_sodium_current_j_gate__V)) -
                      (3.474e-05 *
                       exp((-0.04391) * var_fast_sodium_current_j_gate__V))) *
                     (var_fast_sodium_current_j_gate__V + 37.78)) /
                    (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))
                 ? ((0.1212 *
                     exp((-0.01052) * var_fast_sodium_current_j_gate__V)) /
                    (1.0 + exp((-0.1378) *
                               (var_fast_sodium_current_j_gate__V + 40.14))))
                 : ((0.3 *
                     exp((-2.535e-07) * var_fast_sodium_current_j_gate__V)) /
                    (1.0 + exp((-0.1) * (var_fast_sodium_current_j_gate__V +
                                         32.0)))); // per_millisecond
 #if 0 
             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
 #endif
         const NekDouble var_slow_inward_current_d_gate__V =
             var_slow_inward_current__V; // millivolt
         const NekDouble var_slow_inward_current_d_gate__alpha_d =
             (0.095 * exp((-0.01) * (var_slow_inward_current_d_gate__V - 5.0))) /
             (1.0 + exp((-0.072) * (var_slow_inward_current_d_gate__V -
                                    5.0))); // per_millisecond
 #if 0 
             const NekDouble var_slow_inward_current_d_gate__d = var_slow_inward_current__d; // dimensionless
 #endif
         const NekDouble var_slow_inward_current_d_gate__beta_d =
             (0.07 *
              exp((-0.017) * (var_slow_inward_current_d_gate__V + 44.0))) /
             (1.0 + exp(0.05 * (var_slow_inward_current_d_gate__V +
                                44.0))); // per_millisecond
 #if 0 
             const NekDouble var_slow_inward_current_d_gate__d_d_d_environment__time = (var_slow_inward_current_d_gate__alpha_d * (1.0 - var_slow_inward_current_d_gate__d)) - (var_slow_inward_current_d_gate__beta_d * var_slow_inward_current_d_gate__d); // per_millisecond
             const NekDouble var_slow_inward_current__slow_inward_current_d_gate__d_d_d_environment__time = var_slow_inward_current_d_gate__d_d_d_environment__time; // per_millisecond
             const NekDouble var_slow_inward_current_f_gate__f = var_slow_inward_current__f; // dimensionless
 #endif
         const NekDouble var_slow_inward_current_f_gate__V =
             var_slow_inward_current__V; // millivolt
         const NekDouble var_slow_inward_current_f_gate__alpha_f =
             (0.012 *
              exp((-0.008) * (var_slow_inward_current_f_gate__V + 28.0))) /
             (1.0 + exp(0.15 * (var_slow_inward_current_f_gate__V +
                                28.0))); // per_millisecond
         const NekDouble var_slow_inward_current_f_gate__beta_f =
             (0.0065 *
              exp((-0.02) * (var_slow_inward_current_f_gate__V + 30.0))) /
             (1.0 + exp((-0.2) * (var_slow_inward_current_f_gate__V +
                                  30.0))); // per_millisecond
 #if 0 
             const NekDouble var_slow_inward_current_f_gate__d_f_d_environment__time = (var_slow_inward_current_f_gate__alpha_f * (1.0 - var_slow_inward_current_f_gate__f)) - (var_slow_inward_current_f_gate__beta_f * var_slow_inward_current_f_gate__f); // per_millisecond
             const NekDouble var_slow_inward_current__slow_inward_current_f_gate__d_f_d_environment__time = var_slow_inward_current_f_gate__d_f_d_environment__time; // per_millisecond
             const NekDouble var_time_dependent_potassium_current_X_gate__X = var_time_dependent_potassium_current__X; // dimensionless
 #endif
         const NekDouble var_time_dependent_potassium_current_X_gate__V =
             var_time_dependent_potassium_current__V; // millivolt
         const NekDouble var_time_dependent_potassium_current_X_gate__beta_X =
             (0.0013 *
              exp((-0.06) *
                  (var_time_dependent_potassium_current_X_gate__V + 20.0))) /
             (1.0 +
              exp((-0.04) * (var_time_dependent_potassium_current_X_gate__V +
                             20.0))); // per_millisecond
         const NekDouble var_time_dependent_potassium_current_X_gate__alpha_X =
             (0.0005 *
              exp(0.083 *
                  (var_time_dependent_potassium_current_X_gate__V + 50.0))) /
             (1.0 + exp(0.057 * (var_time_dependent_potassium_current_X_gate__V +
                                 50.0))); // per_millisecond
 #if 0 
             const NekDouble var_time_dependent_potassium_current_X_gate__d_X_d_environment__time = (var_time_dependent_potassium_current_X_gate__alpha_X * (1.0 - var_time_dependent_potassium_current_X_gate__X)) - (var_time_dependent_potassium_current_X_gate__beta_X * var_time_dependent_potassium_current_X_gate__X); // per_millisecond
             const NekDouble var_time_dependent_potassium_current__time_dependent_potassium_current_X_gate__d_X_d_environment__time = var_time_dependent_potassium_current_X_gate__d_X_d_environment__time; // per_millisecond
 #endif
         const NekDouble var_intracellular_calcium_concentration__Cai =
             var_chaste_interface__intracellular_calcium_concentration__Cai; // millimolar
         const NekDouble var_intracellular_calcium_concentration__i_si =
             var_slow_inward_current__i_si; // microA_per_cm2
         const NekDouble
             var_intracellular_calcium_concentration__d_Cai_d_environment__time =
                 (((-0.0001) / 1.0) *
                  var_intracellular_calcium_concentration__i_si) +
                 (0.07 *
                  (0.0001 -
                   var_intracellular_calcium_concentration__Cai)); // 'millimole
                                                                   // per litre
                                                                   // per
                                                                   // millisecond'
 #if 0
             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__slow_inward_current_d_gate__d_d_d_environment__time = var_slow_inward_current__slow_inward_current_d_gate__d_d_d_environment__time; // per_millisecond
             const NekDouble var_chaste_interface__slow_inward_current_f_gate__d_f_d_environment__time = var_slow_inward_current__slow_inward_current_f_gate__d_f_d_environment__time; // per_millisecond
             const NekDouble var_chaste_interface__time_dependent_potassium_current_X_gate__d_X_d_environment__time = var_time_dependent_potassium_current__time_dependent_potassium_current_X_gate__d_X_d_environment__time; // per_millisecond
 #endif
         const NekDouble
             var_chaste_interface__intracellular_calcium_concentration__d_Cai_d_environment__time =
                 var_intracellular_calcium_concentration__d_Cai_d_environment__time; // ___units_16
 #if 0
             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__slow_inward_current_d_gate__d = var_chaste_interface__slow_inward_current_d_gate__d_d_d_environment__time; // per_millisecond
             const NekDouble d_dt_chaste_interface__slow_inward_current_f_gate__f = var_chaste_interface__slow_inward_current_f_gate__d_f_d_environment__time; // per_millisecond
             const NekDouble d_dt_chaste_interface__time_dependent_potassium_current_X_gate__X = var_chaste_interface__time_dependent_potassium_current_X_gate__d_X_d_environment__time; // per_millisecond
 #endif
         const NekDouble
             d_dt_chaste_interface__intracellular_calcium_concentration__Cai =
                 var_chaste_interface__intracellular_calcium_concentration__d_Cai_d_environment__time; // 'millimole per litre per millisecond'
  
         const NekDouble var_membrane__R = 8314.0;  // joule_per_kilomole_kelvin
         const NekDouble var_membrane__T = 310.0;   // kelvin
         const NekDouble var_membrane__F = 96484.6; // coulomb_per_mole
         const NekDouble var_membrane__C = 1.0;     // microF_per_cm2
         const NekDouble var_chaste_interface__membrane__I_stim = 0.0;
         const NekDouble var_membrane__I_stim =
             var_chaste_interface__membrane__I_stim;           // microA_per_cm2
         const NekDouble var_fast_sodium_current__g_Na = 23.0; // milliS_per_cm2
         const NekDouble var_fast_sodium_current__R =
             var_membrane__R; // joule_per_kilomole_kelvin
         const NekDouble var_fast_sodium_current__F =
             var_membrane__F; // coulomb_per_mole
         const NekDouble var_ionic_concentrations__Nao = 140.0; // millimolar
         const NekDouble var_fast_sodium_current__Nao =
             var_ionic_concentrations__Nao;                    // millimolar
         const NekDouble var_ionic_concentrations__Nai = 18.0; // millimolar
         const NekDouble var_fast_sodium_current__Nai =
             var_ionic_concentrations__Nai; // millimolar
         const NekDouble var_fast_sodium_current__T = var_membrane__T; // kelvin
         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__Nao /
                 var_fast_sodium_current__Nai); // 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_cm2
         const NekDouble var_membrane__i_Na =
             var_fast_sodium_current__i_Na; // microA_per_cm2
         const NekDouble var_membrane__i_si =
             var_slow_inward_current__i_si; // microA_per_cm2
         const NekDouble var_time_dependent_potassium_current_Xi_gate__V =
             var_time_dependent_potassium_current__V; // millivolt
         const NekDouble var_time_dependent_potassium_current_Xi_gate__Xi =
             (var_time_dependent_potassium_current_Xi_gate__V > (-100.0))
                 ? ((2.837 *
                     (exp(0.04 *
                          (var_time_dependent_potassium_current_Xi_gate__V +
                           77.0)) -
                      1.0)) /
                    ((var_time_dependent_potassium_current_Xi_gate__V + 77.0) *
                     exp(0.04 *
                         (var_time_dependent_potassium_current_Xi_gate__V +
                          35.0))))
                 : 1.0; // dimensionless
         const NekDouble var_time_dependent_potassium_current__Xi =
             var_time_dependent_potassium_current_Xi_gate__Xi; // dimensionless
         const NekDouble var_ionic_concentrations__Ko = 5.4;   // millimolar
         const NekDouble var_time_dependent_potassium_current__Ko =
             var_ionic_concentrations__Ko; // millimolar
         const NekDouble var_time_dependent_potassium_current__g_K =
             0.282 * sqrt(var_time_dependent_potassium_current__Ko /
                          5.4); // milliS_per_cm2
         const NekDouble var_time_dependent_potassium_current__PR_NaK =
             0.01833; // dimensionless
         const NekDouble var_time_dependent_potassium_current__F =
             var_membrane__F; // coulomb_per_mole
         const NekDouble var_time_dependent_potassium_current__Nao =
             var_ionic_concentrations__Nao;                    // millimolar
         const NekDouble var_ionic_concentrations__Ki = 145.0; // millimolar
         const NekDouble var_time_dependent_potassium_current__Ki =
             var_ionic_concentrations__Ki; // millimolar
         const NekDouble var_time_dependent_potassium_current__Nai =
             var_ionic_concentrations__Nai; // millimolar
         const NekDouble var_time_dependent_potassium_current__T =
             var_membrane__T; // kelvin
         const NekDouble var_time_dependent_potassium_current__R =
             var_membrane__R; // joule_per_kilomole_kelvin
         const NekDouble var_time_dependent_potassium_current__E_K =
             ((var_time_dependent_potassium_current__R *
               var_time_dependent_potassium_current__T) /
              var_time_dependent_potassium_current__F) *
             log((var_time_dependent_potassium_current__Ko +
                  (var_time_dependent_potassium_current__PR_NaK *
                   var_time_dependent_potassium_current__Nao)) /
                 (var_time_dependent_potassium_current__Ki +
                  (var_time_dependent_potassium_current__PR_NaK *
                   var_time_dependent_potassium_current__Nai))); // millivolt
         const NekDouble var_time_dependent_potassium_current__i_K =
             var_time_dependent_potassium_current__g_K *
             var_time_dependent_potassium_current__X *
             var_time_dependent_potassium_current__Xi *
             (var_time_dependent_potassium_current__V -
              var_time_dependent_potassium_current__E_K); // microA_per_cm2
         const NekDouble var_membrane__i_K =
             var_time_dependent_potassium_current__i_K; // microA_per_cm2
         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__Ki =
             var_ionic_concentrations__Ki; // millimolar
         const NekDouble var_time_independent_potassium_current__R =
             var_membrane__R; // joule_per_kilomole_kelvin
         const NekDouble var_time_independent_potassium_current__F =
             var_membrane__F; // coulomb_per_mole
         const NekDouble var_time_independent_potassium_current__Ko =
             var_ionic_concentrations__Ko; // millimolar
         const NekDouble var_time_independent_potassium_current__T =
             var_membrane__T; // kelvin
         const NekDouble var_time_independent_potassium_current__E_K1 =
             ((var_time_independent_potassium_current__R *
               var_time_independent_potassium_current__T) /
              var_time_independent_potassium_current__F) *
             log(var_time_independent_potassium_current__Ko /
                 var_time_independent_potassium_current__Ki); // millivolt
         const NekDouble var_time_independent_potassium_current_K1_gate__E_K1 =
             var_time_independent_potassium_current__E_K1; // millivolt
         const NekDouble
             var_time_independent_potassium_current_K1_gate__beta_K1 =
                 ((0.49124 *
                   exp(0.08032 *
                       ((var_time_independent_potassium_current_K1_gate__V +
                         5.476) -
                        var_time_independent_potassium_current_K1_gate__E_K1))) +
                  (1.0 *
                   exp(0.06175 *
                       (var_time_independent_potassium_current_K1_gate__V -
                        (var_time_independent_potassium_current_K1_gate__E_K1 +
                         594.31))))) /
                 (1.0 +
                  exp((-0.5143) *
                      ((var_time_independent_potassium_current_K1_gate__V -
                        var_time_independent_potassium_current_K1_gate__E_K1) +
                       4.753))); // per_millisecond
         const NekDouble
             var_time_independent_potassium_current_K1_gate__alpha_K1 =
                 1.02 /
                 (1.0 +
                  exp(0.2385 *
                      ((var_time_independent_potassium_current_K1_gate__V -
                        var_time_independent_potassium_current_K1_gate__E_K1) -
                       59.215))); // per_millisecond
         const NekDouble
             var_time_independent_potassium_current_K1_gate__K1_infinity =
                 var_time_independent_potassium_current_K1_gate__alpha_K1 /
                 (var_time_independent_potassium_current_K1_gate__alpha_K1 +
                  var_time_independent_potassium_current_K1_gate__beta_K1); // 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__g_K1 =
             0.6047 * sqrt(var_time_independent_potassium_current__Ko /
                           5.4); // milliS_per_cm2
         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__V -
              var_time_independent_potassium_current__E_K1); // microA_per_cm2
         const NekDouble var_membrane__i_K1 =
             var_time_independent_potassium_current__i_K1; // microA_per_cm2
         const NekDouble var_plateau_potassium_current__g_Kp =
             0.0183; // milliS_per_cm2
         const NekDouble var_plateau_potassium_current__V =
             var_chaste_interface__membrane__V; // millivolt
         const NekDouble var_plateau_potassium_current__Kp =
             1.0 / (1.0 + exp((7.488 - var_plateau_potassium_current__V) /
                              5.98)); // dimensionless
         const NekDouble var_plateau_potassium_current__E_K1 =
             var_time_independent_potassium_current__E_K1; // millivolt
         const NekDouble var_plateau_potassium_current__E_Kp =
             var_plateau_potassium_current__E_K1; // millivolt
         const NekDouble var_plateau_potassium_current__i_Kp =
             var_plateau_potassium_current__g_Kp *
             var_plateau_potassium_current__Kp *
             (var_plateau_potassium_current__V -
              var_plateau_potassium_current__E_Kp); // microA_per_cm2
         const NekDouble var_membrane__i_Kp =
             var_plateau_potassium_current__i_Kp;               // microA_per_cm2
         const NekDouble var_background_current__E_b = -59.87;  // millivolt
         const NekDouble var_background_current__g_b = 0.03921; // milliS_per_cm2
         const NekDouble var_background_current__V =
             var_chaste_interface__membrane__V; // millivolt
         const NekDouble var_background_current__i_b =
             var_background_current__g_b *
             (var_background_current__V -
              var_background_current__E_b); // microA_per_cm2
         const NekDouble var_membrane__i_b =
             var_background_current__i_b; // microA_per_cm2
         const NekDouble var_membrane__d_V_d_environment__time =
             ((-1.0) / var_membrane__C) *
             (var_membrane__I_stim + var_membrane__i_Na + var_membrane__i_si +
              var_membrane__i_K + var_membrane__i_K1 + var_membrane__i_Kp +
              var_membrane__i_b); // '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'
         const NekDouble m_inf = var_fast_sodium_current_m_gate__alpha_m /
                                 (var_fast_sodium_current_m_gate__alpha_m +
                                  var_fast_sodium_current_m_gate__beta_m);
         const NekDouble m_tau = 1.0 / (var_fast_sodium_current_m_gate__alpha_m +
                                        var_fast_sodium_current_m_gate__beta_m);
         const NekDouble h_inf = var_fast_sodium_current_h_gate__alpha_h /
                                 (var_fast_sodium_current_h_gate__alpha_h +
                                  var_fast_sodium_current_h_gate__beta_h);
         const NekDouble h_tau = 1.0 / (var_fast_sodium_current_h_gate__alpha_h +
                                        var_fast_sodium_current_h_gate__beta_h);
         const NekDouble j_inf = var_fast_sodium_current_j_gate__alpha_j /
                                 (var_fast_sodium_current_j_gate__alpha_j +
                                  var_fast_sodium_current_j_gate__beta_j);
         const NekDouble j_tau = 1.0 / (var_fast_sodium_current_j_gate__alpha_j +
                                        var_fast_sodium_current_j_gate__beta_j);
         const NekDouble d_inf = var_slow_inward_current_d_gate__alpha_d /
                                 (var_slow_inward_current_d_gate__alpha_d +
                                  var_slow_inward_current_d_gate__beta_d);
         const NekDouble d_tau = 1.0 / (var_slow_inward_current_d_gate__alpha_d +
                                        var_slow_inward_current_d_gate__beta_d);
         const NekDouble f_inf = var_slow_inward_current_f_gate__alpha_f /
                                 (var_slow_inward_current_f_gate__alpha_f +
                                  var_slow_inward_current_f_gate__beta_f);
         const NekDouble f_tau = 1.0 / (var_slow_inward_current_f_gate__alpha_f +
                                        var_slow_inward_current_f_gate__beta_f);
         const NekDouble X_inf =
             var_time_dependent_potassium_current_X_gate__alpha_X /
             (var_time_dependent_potassium_current_X_gate__alpha_X +
              var_time_dependent_potassium_current_X_gate__beta_X);
         const NekDouble X_tau =
             1.0 / (var_time_dependent_potassium_current_X_gate__alpha_X +
                    var_time_dependent_potassium_current_X_gate__beta_X);
  
         outarray[0][i]    = d_dt_chaste_interface__membrane__V;
         outarray[1][i]    = m_inf;
         m_gates_tau[0][i] = m_tau;
         outarray[2][i]    = h_inf;
         m_gates_tau[1][i] = h_tau;
         outarray[3][i]    = j_inf;
         m_gates_tau[2][i] = j_tau;
         outarray[4][i]    = d_inf;
         m_gates_tau[3][i] = d_tau;
         outarray[5][i]    = f_inf;
         m_gates_tau[4][i] = f_tau;
         outarray[6][i]    = X_inf;
         m_gates_tau[5][i] = X_tau;
         outarray[7][i] =
             d_dt_chaste_interface__intracellular_calcium_concentration__Cai;
     }
 }

References tinysimd::log(), Nektar::CellModel::m_gates_tau, Nektar::CellModel::m_nq, and tinysimd::sqrt().

Member Data Documentation

◆ className

std::string Nektar::LuoRudy91::className

static

Initial value:

=
    GetCellModelFactory().RegisterCreatorFunction(
        "LuoRudy91", LuoRudy91::create, "Luo Rudy 1991 model.")

Name of class.

Definition at line 54 of file LuoRudy91.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LuoRudy91()

◆ ~LuoRudy91()

Member Function Documentation

◆ create()

◆ v_GenerateSummary()

◆ v_SetInitialConditions()

◆ v_Update()

Member Data Documentation

◆ className