AbstractBackwardEulerCardiacCell< SIZE > Class Template Reference

#include <AbstractBackwardEulerCardiacCell.hpp>

Inheritance diagram for AbstractBackwardEulerCardiacCell< SIZE >:

Collaboration diagram for AbstractBackwardEulerCardiacCell< SIZE >:

List of all members.

Public Member Functions

AbstractBackwardEulerCardiacCell (unsigned numberOfStateVariables, unsigned voltageIndex, AbstractStimulusFunction *intracellularStimulus)

virtual void ComputeResidual (const double rCurrentGuess[SIZE], double rResidual[SIZE])=0

virtual void ComputeJacobian (const double rCurrentGuess[SIZE], double rJacobian[SIZE][SIZE])=0

virtual OdeSolution Compute (double tStart, double tEnd)

virtual void ComputeExceptVoltage (double tStart, double tEnd)

Protected Member Functions

virtual void ComputeOneStepExceptVoltage (double tStart)=0

virtual void UpdateTransmembranePotential (double time)=0

Private Member Functions

void EvaluateYDerivatives (double time, const std::vector< double > &rY, std::vector< double > &rDY)

Detailed Description

template<unsigned SIZE>
class AbstractBackwardEulerCardiacCell< SIZE >

This is the base class for cardiac cells solved using a (decoupled) backward Euler approach.

The basic approach to solving such models is: * Update the transmembrane potential, either from solving an external PDE, or using a forward Euler step. * Update any gating variables (or similar) using a backward euler step. Suitable ODEs can be written in the form du/dt = g(V) + h(V)*u. The update expression is then u_n = ( u_{n-1} + g(V_n)*dt ) / ( 1 - h(V_n)*dt ). * Update the remaining state variables using Newton's method to solve the nonlinear system U_n - U_{n-1} = dt*F(U_n, V_n). The template parameter to the class specifies the size of this nonlinear system.

Definition at line 54 of file AbstractBackwardEulerCardiacCell.hpp.

Constructor & Destructor Documentation

template<unsigned SIZE>

AbstractBackwardEulerCardiacCell< SIZE >::AbstractBackwardEulerCardiacCell	(	unsigned	numberOfStateVariables,
		unsigned	voltageIndex,
		AbstractStimulusFunction *	intracellularStimulus
	)			`[inline]`

Standard constructor for a cell.

Parameters:

	numberOfStateVariables	the size of the ODE system
	voltageIndex	the index of the variable representing the transmembrane potential within the state variable vector
	dt	the timestep to use in solving the ODEs
	intracellularStimulus	the intracellular stimulus function
	extracellularStimulus	the extracellular stimulus function

Some notes for future reference: * We may want to remove the timestep from this class, and instead pass it to the Compute* methods, especially if variable timestepping is to be used. * It's a pity that inheriting from AbstractCardiacCell forces us to store a null pointer (for the unused ODE solver) in every instance. We may want to revisit this design decision at a later date.

Definition at line 146 of file AbstractBackwardEulerCardiacCell.hpp.

Member Function Documentation

template<unsigned SIZE>

virtual void AbstractBackwardEulerCardiacCell< SIZE >::ComputeResidual	(	const double	rCurrentGuess[SIZE],
		double	rResidual[SIZE]
	)			`[pure virtual]`

Compute the residual of the nonlinear system portion of the cell model.

Parameters:

	rCurrentGuess	the current guess for U_n
	rResidual	to be filled in with the residual vector

Referenced by CardiacNewtonSolver< SIZE >::Solve().

template<unsigned SIZE>

virtual void AbstractBackwardEulerCardiacCell< SIZE >::ComputeJacobian	(	const double	rCurrentGuess[SIZE],
		double	rJacobian[SIZE][SIZE]
	)			`[pure virtual]`

Compute the Jacobian matrix for the nonlinear system portion of the cell model.

Parameters:

	rCurrentGuess	the current guess for U_n
	rJacobian	to be filled in with the Jacobian matrix

Referenced by CardiacNewtonSolver< SIZE >::Solve().

template<unsigned SIZE>

OdeSolution AbstractBackwardEulerCardiacCell< SIZE >::Compute	(	double	tStart,
		double	tEnd
	)			`[inline, virtual]`

Simulates this cell's behaviour between the time interval [tStart, tEnd], with timestep mDt. Uses a forward Euler step to update the transmembrane potential at each timestep.

The length of the time interval must be a multiple of the timestep.

Returns:: the values of each state variable, at mDt intervals.

Reimplemented from AbstractCardiacCell.

Definition at line 161 of file AbstractBackwardEulerCardiacCell.hpp.

References AbstractBackwardEulerCardiacCell< SIZE >::ComputeOneStepExceptVoltage(), OdeSolution::rGetSolutions(), OdeSolution::rGetTimes(), OdeSolution::SetNumberOfTimeSteps(), AbstractBackwardEulerCardiacCell< SIZE >::UpdateTransmembranePotential(), and AbstractCardiacCell::VerifyStateVariables().

template<unsigned SIZE>

void AbstractBackwardEulerCardiacCell< SIZE >::ComputeExceptVoltage	(	double	tStart,
		double	tEnd
	)			`[inline, virtual]`

Simulates this cell's behaviour between the time interval [tStart, tEnd], with timestep mDt. The transmembrane potential is kept fixed throughout.

The length of the time interval must be a multiple of the timestep.

Reimplemented from AbstractCardiacCell.

Definition at line 202 of file AbstractBackwardEulerCardiacCell.hpp.

References AbstractBackwardEulerCardiacCell< SIZE >::ComputeOneStepExceptVoltage(), and AbstractCardiacCell::VerifyStateVariables().

template<unsigned SIZE>

void AbstractBackwardEulerCardiacCell< SIZE >::EvaluateYDerivatives	(	double	time,
		const std::vector< double > &	rY,
		std::vector< double > &	rDY
	)			`[inline, private, virtual]`

This function should never be called - the cell class incorporates its own solver.

Implements AbstractOdeSystem.

Definition at line 122 of file AbstractBackwardEulerCardiacCell.hpp.

template<unsigned SIZE>

virtual void AbstractBackwardEulerCardiacCell< SIZE >::ComputeOneStepExceptVoltage ( double tStart ) [protected, pure virtual]

Compute the values of all state variables except the voltage, for one timestep from tStart.

This method must be provided by subclasses.

Implemented in BackwardEulerFoxModel2002Modified, and BackwardEulerLuoRudyIModel1991.

Referenced by AbstractBackwardEulerCardiacCell< SIZE >::Compute(), and AbstractBackwardEulerCardiacCell< SIZE >::ComputeExceptVoltage().

template<unsigned SIZE>

virtual void AbstractBackwardEulerCardiacCell< SIZE >::UpdateTransmembranePotential ( double time ) [protected, pure virtual]

Perform a forward Euler step to update the transmembrane potential.

This method must be provided by subclasses.

Implemented in BackwardEulerFoxModel2002Modified, and BackwardEulerLuoRudyIModel1991.

Referenced by AbstractBackwardEulerCardiacCell< SIZE >::Compute().

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

/tmp/release_1/heart/src/odes/AbstractBackwardEulerCardiacCell.hpp


Public Member Functions
	AbstractBackwardEulerCardiacCell (unsigned numberOfStateVariables, unsigned voltageIndex, AbstractStimulusFunction *intracellularStimulus)
virtual void	ComputeResidual (const double rCurrentGuess[SIZE], double rResidual[SIZE])=0
virtual void	ComputeJacobian (const double rCurrentGuess[SIZE], double rJacobian[SIZE][SIZE])=0
virtual OdeSolution	Compute (double tStart, double tEnd)
virtual void	ComputeExceptVoltage (double tStart, double tEnd)
Protected Member Functions
virtual void	ComputeOneStepExceptVoltage (double tStart)=0
virtual void	UpdateTransmembranePotential (double time)=0
Private Member Functions
void	EvaluateYDerivatives (double time, const std::vector< double > &rY, std::vector< double > &rDY)

AbstractBackwardEulerCardiacCell< SIZE > Class Template Reference

Public Member Functions

Protected Member Functions

Private Member Functions

Detailed Description

template<unsigned SIZE> class AbstractBackwardEulerCardiacCell< SIZE >

Constructor & Destructor Documentation

Member Function Documentation

template<unsigned SIZE>
class AbstractBackwardEulerCardiacCell< SIZE >