NhsCellularMechanicsOdeSystem Class Reference

#include <NhsCellularMechanicsOdeSystem.hpp>

Inheritance diagram for NhsCellularMechanicsOdeSystem:

Collaboration diagram for NhsCellularMechanicsOdeSystem:

List of all members.

Public Member Functions

NhsCellularMechanicsOdeSystem ()

void SetLambdaAndDerivative (double lambda, double dlambdaDt)

void SetIntracellularCalciumConcentration (double calciumI)

double GetCalciumTroponinValue ()

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

double GetActiveTension ()

double GetLambda ()

Protected Member Functions

void CalculateCalciumTrop50 ()

double CalculateT0 (double z)

Protected Attributes

double mLambda

double mDLambdaDt

double mCalciumI

double mCalciumTrop50

double mK1

double mK2

Static Protected Attributes

static const double mKon = 100

static const double mKrefoff = 0.2

static const double mGamma = 2

static const double mCalciumTroponinMax = 0.07

static const double mAlphaR1 = 0.002

static const double mAlphaR2 = 0.00175

static const double mKZ = 0.15

static const double mNr = 3

static const double mBeta1 = -4

static const double mAlpha0 = 0.008

static const double mN = 3

static const double mZp = 0.85

static const double mCalcium50ref = 0.00105

static const double mTref = 56.2

static const double mBeta0 = 4.9

static const double mA = 0.35

static const double mA1 = -29

static const double mA2 = 138

static const double mA3 = 129

static const double mAlpha1 = 0.03

static const double mAlpha2 = 0.130

static const double mAlpha3 = 0.625

Friends

class TestCellularMechanicsOdeSystems

Detailed Description

NHS (Niederer, Hunter, Smith) model of active tension in cardiac cells.

A system of ODEs which determines the active potential, given the intracellular calcium concentration, the stretch (lambda) of the cell, and the stretch rate (dlambda_dt) of the cell.

The state variables are, in order: Calcium_troponin, z, Q1, Q2, Q3

Reference: S.A. Niederer, N.P. Smith, P.J. Hunter, "New developments in a strongly coupled cardiac electro-mechanical model" Europace 7, S118-S127

THE ACTIVE TENSION IS RETURNED IN KILOPASCALS!!

Definition at line 48 of file NhsCellularMechanicsOdeSystem.hpp.

Constructor & Destructor Documentation

NhsCellularMechanicsOdeSystem::NhsCellularMechanicsOdeSystem ( )

Constructor. Initialises all state variables to zero, lambda to 1, dlambda_dt to 0 and intracellular calcium concentration to 0

Definition at line 89 of file NhsCellularMechanicsOdeSystem.cpp.

References CalculateCalciumTrop50(), AbstractOdeSystem::GetInitialConditions(), OdeSystemInformation< ODE_SYSTEM >::Instance(), mAlphaR2, mCalciumI, mDLambdaDt, mK1, mK2, mKZ, mLambda, mNr, AbstractOdeSystem::mpSystemInfo, mZp, and AbstractOdeSystem::SetStateVariables().

Member Function Documentation

void NhsCellularMechanicsOdeSystem::CalculateCalciumTrop50 ( ) [protected]

Compute the calcium_trop50 concentration. This is a function of constants and lambda, so only needs to be called in the constructor or when lambda is set

Definition at line 64 of file NhsCellularMechanicsOdeSystem.cpp.

References mBeta1, mCalcium50ref, mCalciumTrop50, mCalciumTroponinMax, mGamma, mKon, mKrefoff, and mLambda.

Referenced by NhsCellularMechanicsOdeSystem(), and SetLambdaAndDerivative().

double NhsCellularMechanicsOdeSystem::CalculateT0 ( double z ) [protected]

Calculate T0. This is a function of constants, lambda and z

Parameters:

z

Definition at line 73 of file NhsCellularMechanicsOdeSystem.cpp.

References mAlpha0, mAlphaR1, mBeta0, mCalciumTrop50, mCalciumTroponinMax, mK1, mK2, mLambda, mN, and mTref.

Referenced by NhsSystemWithImplicitSolver::CalcActiveTensionResidual(), EvaluateYDerivatives(), and GetActiveTension().

void NhsCellularMechanicsOdeSystem::SetLambdaAndDerivative	(	double	lambda,
		double	dlambdaDt
	)

Set the current stretch and the stretch rate of the cell/fibre

Parameters:

	lambda	current stretch
	dlambdaDt	current stretch rate

Definition at line 111 of file NhsCellularMechanicsOdeSystem.cpp.

References CalculateCalciumTrop50(), mDLambdaDt, and mLambda.

Referenced by ImplicitCardiacMechanicsAssembler< DIM >::AssembleOnElement().

void NhsCellularMechanicsOdeSystem::SetIntracellularCalciumConcentration ( double calciumI )

Set the current intracellular calcium concentration

Parameters:

calciumI

is the intracellular calcium

Definition at line 120 of file NhsCellularMechanicsOdeSystem.cpp.

References mCalciumI.

double NhsCellularMechanicsOdeSystem::GetCalciumTroponinValue ( )

Get the current Calcium Troponin (one of the state variables) value. This may be needed if the cell model has Calcium troponin and might need overwriting

Definition at line 127 of file NhsCellularMechanicsOdeSystem.cpp.

References AbstractOdeSystem::mStateVariables.

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

Evaluate the derivatives of the state variables

Parameters:

	time	the current time, in milliseconds
	rY	current values of the state variables
	rDY	to be filled in with derivatives

Implements AbstractOdeSystem.

Definition at line 133 of file NhsCellularMechanicsOdeSystem.cpp.

References CalculateT0(), mA, mA1, mA2, mA3, mAlpha0, mAlpha1, mAlpha2, mAlpha3, mAlphaR1, mAlphaR2, mCalciumI, mCalciumTrop50, mCalciumTroponinMax, mDLambdaDt, mGamma, mKon, mKrefoff, mKZ, mN, mNr, and mTref.

double NhsCellularMechanicsOdeSystem::GetActiveTension ( )

Get the active tension, which is a function of the constants and current state variables

Definition at line 189 of file NhsCellularMechanicsOdeSystem.cpp.

References CalculateT0(), mA, and AbstractOdeSystem::mStateVariables.

Referenced by NhsSystemWithImplicitSolver::NhsSystemWithImplicitSolver().

double NhsCellularMechanicsOdeSystem::GetLambda ( )

Get the current stretch rate

Definition at line 204 of file NhsCellularMechanicsOdeSystem.cpp.

References mLambda.

Member Data Documentation

double NhsCellularMechanicsOdeSystem::mLambda [protected]

The stretch. To be specified by the caller

Definition at line 54 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50(), CalculateT0(), GetLambda(), NhsCellularMechanicsOdeSystem(), and SetLambdaAndDerivative().

double NhsCellularMechanicsOdeSystem::mDLambdaDt [protected]

The stretch rate. To be specified by the caller

Definition at line 56 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), NhsSystemWithImplicitSolver::ImplicitSolveForQ(), NhsCellularMechanicsOdeSystem(), and SetLambdaAndDerivative().

double NhsCellularMechanicsOdeSystem::mCalciumI [protected]

The intracellular calcium concentration. To be specified by the caller

Definition at line 58 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), NhsSystemWithImplicitSolver::ImplicitSolveForCaTrop(), NhsCellularMechanicsOdeSystem(), and SetIntracellularCalciumConcentration().

double NhsCellularMechanicsOdeSystem::mCalciumTrop50 [protected]

A parameter only dependent on constants and lambda, so updated whenever lambda is updated

Definition at line 62 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50(), CalculateT0(), NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ().

double NhsCellularMechanicsOdeSystem::mK1 [protected]

A constant determined from the other constrants. Set up in the constructor

Definition at line 65 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0(), and NhsCellularMechanicsOdeSystem().

double NhsCellularMechanicsOdeSystem::mK2 [protected]

A constant determined from the other constrants. Set up in the constructor

Definition at line 67 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0(), and NhsCellularMechanicsOdeSystem().

const double NhsCellularMechanicsOdeSystem::mKon = 100 [static, protected]

FILL IN. (mMols)^-1 (ms)^-1

Definition at line 72 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForCaTrop().

const double NhsCellularMechanicsOdeSystem::mKrefoff = 0.2 [static, protected]

FILL IN. (ms)^-1

Definition at line 75 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForCaTrop().

const double NhsCellularMechanicsOdeSystem::mGamma = 2 [static, protected]

FILL IN. Dimensionless

Definition at line 78 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForCaTrop().

const double NhsCellularMechanicsOdeSystem::mCalciumTroponinMax = 0.07 [static, protected]

FILL IN. mMols

Definition at line 81 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50(), CalculateT0(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForCaTrop().

const double NhsCellularMechanicsOdeSystem::mAlphaR1 = 0.002 [static, protected]

FILL IN. (ms)^-1

Definition at line 84 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0(), NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ().

const double NhsCellularMechanicsOdeSystem::mAlphaR2 = 0.00175 [static, protected]

FILL IN. (ms)^-1

Definition at line 87 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ(), and NhsCellularMechanicsOdeSystem().

const double NhsCellularMechanicsOdeSystem::mKZ = 0.15 [static, protected]

FILL IN. Dimensionless

Definition at line 90 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ(), and NhsCellularMechanicsOdeSystem().

const double NhsCellularMechanicsOdeSystem::mNr = 3 [static, protected]

FILL IN. Dimensionless

Definition at line 93 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ(), and NhsCellularMechanicsOdeSystem().

const double NhsCellularMechanicsOdeSystem::mBeta1 = -4 [static, protected]

FILL IN. Dimensionless

Definition at line 96 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50().

const double NhsCellularMechanicsOdeSystem::mAlpha0 = 0.008 [static, protected]

FILL IN. (ms)^-1

Definition at line 99 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0(), NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ().

const double NhsCellularMechanicsOdeSystem::mN = 3 [static, protected]

FILL IN. Dimensionless

Definition at line 102 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0(), NhsSystemWithImplicitSolver::CalcZResidual(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitExplicitSolveForZ().

const double NhsCellularMechanicsOdeSystem::mZp = 0.85 [static, protected]

FILL IN. Dimensionless

Definition at line 105 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by NhsCellularMechanicsOdeSystem().

const double NhsCellularMechanicsOdeSystem::mCalcium50ref = 0.00105 [static, protected]

FILL IN. mMols

Definition at line 108 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateCalciumTrop50().

const double NhsCellularMechanicsOdeSystem::mTref = 56.2 [static, protected]

FILL IN. kPa

Definition at line 111 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0(), EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForCaTrop().

const double NhsCellularMechanicsOdeSystem::mBeta0 = 4.9 [static, protected]

FILL IN. Dimensionless

Definition at line 114 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by CalculateT0().

const double NhsCellularMechanicsOdeSystem::mA = 0.35 [static, protected]

FILL IN. Dimensionless

Definition at line 117 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by NhsSystemWithImplicitSolver::CalcActiveTensionResidual(), EvaluateYDerivatives(), and GetActiveTension().

const double NhsCellularMechanicsOdeSystem::mA1 = -29 [static, protected]

FILL IN. Dimensionless

Definition at line 120 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForQ().

const double NhsCellularMechanicsOdeSystem::mA2 = 138 [static, protected]

FILL IN. Dimensionless

Definition at line 123 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForQ().

const double NhsCellularMechanicsOdeSystem::mA3 = 129 [static, protected]

FILL IN. Dimensionless

Definition at line 126 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForQ().

const double NhsCellularMechanicsOdeSystem::mAlpha1 = 0.03 [static, protected]

FILL IN. (ms)^-1

Definition at line 129 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForQ().

const double NhsCellularMechanicsOdeSystem::mAlpha2 = 0.130 [static, protected]

FILL IN. (ms)^-1

Definition at line 132 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForQ().

const double NhsCellularMechanicsOdeSystem::mAlpha3 = 0.625 [static, protected]

FILL IN. (ms)^-1

Definition at line 135 of file NhsCellularMechanicsOdeSystem.hpp.

Referenced by EvaluateYDerivatives(), and NhsSystemWithImplicitSolver::ImplicitSolveForQ().

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

/tmp/release_1.1/heart/src/odes/NhsCellularMechanicsOdeSystem.hpp
/tmp/release_1.1/heart/src/odes/NhsCellularMechanicsOdeSystem.cpp


Public Member Functions
	NhsCellularMechanicsOdeSystem ()
void	SetLambdaAndDerivative (double lambda, double dlambdaDt)
void	SetIntracellularCalciumConcentration (double calciumI)
double	GetCalciumTroponinValue ()
void	EvaluateYDerivatives (double time, const std::vector< double > &rY, std::vector< double > &rDY)
double	GetActiveTension ()
double	GetLambda ()
Protected Member Functions
void	CalculateCalciumTrop50 ()
double	CalculateT0 (double z)
Protected Attributes
double	mLambda
double	mDLambdaDt
double	mCalciumI
double	mCalciumTrop50
double	mK1
double	mK2
Static Protected Attributes
static const double	mKon = 100
static const double	mKrefoff = 0.2
static const double	mGamma = 2
static const double	mCalciumTroponinMax = 0.07
static const double	mAlphaR1 = 0.002
static const double	mAlphaR2 = 0.00175
static const double	mKZ = 0.15
static const double	mNr = 3
static const double	mBeta1 = -4
static const double	mAlpha0 = 0.008
static const double	mN = 3
static const double	mZp = 0.85
static const double	mCalcium50ref = 0.00105
static const double	mTref = 56.2
static const double	mBeta0 = 4.9
static const double	mA = 0.35
static const double	mA1 = -29
static const double	mA2 = 138
static const double	mA3 = 129
static const double	mAlpha1 = 0.03
static const double	mAlpha2 = 0.130
static const double	mAlpha3 = 0.625
Friends
class	TestCellularMechanicsOdeSystems