Kaskade::TenTusscher18 Struct Reference

Physiologcial model by tenTusscher et al. (2006) More...

#include <membraneModels.hh>

Detailed Description

Physiologcial model by tenTusscher et al. (2006)

A detailed physiological model with 18 gating variables.

Definition at line 604 of file membraneModels.hh.

Inheritance diagram for Kaskade::TenTusscher18:

Public Types
typedef Dune::FieldVector< double, nGating >	Gating
	Vector type holding gating variables. More...
typedef Dune::FieldMatrix< double, nGating, nGating >	GatingJacobian
	Matrix type for the Jacobian of the gating dynamics. More...

Public Member Functions
	TenTusscher18 ()
	Default constructor. More...
double	current (double u, Gating const &v) const
	The transmembrane ion current. More...
double	current_du (double u, Gating const &v, double h=1e-5) const
	The transmembrane ion current derivative w.r.t. the transmembrane voltage. More...
Gating	current_dv (double u, Gating const &v) const
	The transmembrane ion current derivative w.r.t. the gating variables. More...
Gating	gatingRhs (double u, Gating const &v, double Istim=0) const
	The right hand side for the evolution of gating variables. More...
double	gatingRhs1 (double u, Gating const &v, int vId, double Istim=0) const
Gating	gatingRhs_du (double u, Gating const &v) const
	The derivative of the right hand side for the evolution of gating variables w.r.t. the transmembrane voltage. More...
GatingJacobian	gatingRhs_dv (double u, Gating const &v) const
	The derivative of the right hand side for the evolution of gating variables w.r.t. the gating variables. More...
std::string const &	name () const
	Human-readable name of the membrane model. More...
std::pair< double, Gating > const &	restState () const
	Value of the resting state fixed point. More...

Static Public Attributes
static int const	nGating
	Number of gating variables. More...

Protected Member Functions
void	setRestState (double uFix, Gating const &vFix)
	Accepts an (approximate) resting state. More...

Member Typedef Documentation

Gating

typedef Dune::FieldVector<double,nGating> Kaskade::MembraneModelBase< TenTusscher18 , n >::Gating

inherited

Vector type holding gating variables.

Definition at line 66 of file membraneModels.hh.

GatingJacobian

typedef Dune::FieldMatrix<double,nGating,nGating> Kaskade::MembraneModelBase< TenTusscher18 , n >::GatingJacobian

inherited

Matrix type for the Jacobian of the gating dynamics.

Definition at line 71 of file membraneModels.hh.

Constructor & Destructor Documentation

TenTusscher18()

Kaskade::TenTusscher18::TenTusscher18

(

)

Default constructor.

Member Function Documentation

current()

double Kaskade::TenTusscher18::current	(	double	u,
		Gating const &	v
	)		const

The transmembrane ion current.

Parameters

u	transmembrane voltage
v	gating variables

current_du()

double Kaskade::TenTusscher18::current_du	(	double	u,
		Gating const &	v,
		double	h = 1e-5
	)		const

The transmembrane ion current derivative w.r.t. the transmembrane voltage.

Parameters

u	transmembrane voltage
v	gating variables

current_dv()

Gating Kaskade::TenTusscher18::current_dv	(	double	u,
		Gating const &	v
	)		const

The transmembrane ion current derivative w.r.t. the gating variables.

Parameters

u	transmembrane voltage
v	gating variables

gatingRhs()

Gating Kaskade::TenTusscher18::gatingRhs	(	double	u,
		Gating const &	v,
		double	Istim = 0
	)		const

The right hand side for the evolution of gating variables.

Parameters

u	transmembrane voltage
v	gating variables

gatingRhs1()

double Kaskade::TenTusscher18::gatingRhs1	(	double	u,
		Gating const &	v,
		int	vId,
		double	Istim = 0
	)		const

gatingRhs_du()

Gating Kaskade::TenTusscher18::gatingRhs_du	(	double	u,
		Gating const &	v
	)		const

The derivative of the right hand side for the evolution of gating variables w.r.t. the transmembrane voltage.

Parameters

u	transmembrane voltage
v	gating variables

gatingRhs_dv()

GatingJacobian Kaskade::TenTusscher18::gatingRhs_dv	(	double	u,
		Gating const &	v
	)		const

The derivative of the right hand side for the evolution of gating variables w.r.t. the gating variables.

Parameters

u	transmembrane voltage
v	gating variables

name()

std::string const & Kaskade::MembraneModelBase< TenTusscher18 , n >::name ( ) const

inlineinherited

Human-readable name of the membrane model.

Definition at line 93 of file membraneModels.hh.

restState()

std::pair< double, Gating > const & Kaskade::MembraneModelBase< TenTusscher18 , n >::restState ( ) const

inlineinherited

Value of the resting state fixed point.

Definition at line 98 of file membraneModels.hh.

setRestState()

void Kaskade::MembraneModelBase< TenTusscher18 , n >::setRestState ( double  uFix, Gating const &  vFix  )

inlineprotectedinherited

Accepts an (approximate) resting state.

Parameters

uFix	approximate resting state of the transmembrane voltage
vFix	approximate resting state of the gating variables

The method shall be used by derived classes to provide an approximate value of the resting state (which needs to be a stable fixed point). A few iterations of Newton's method are performed in order to obtain an accurate value.

Definition at line 181 of file membraneModels.hh.

Member Data Documentation

nGating

int const Kaskade::MembraneModelBase< TenTusscher18 , n >::nGating

staticinherited

Number of gating variables.

Definition at line 61 of file membraneModels.hh.

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The documentation for this struct was generated from the following file:

• membraneModels.hh