Nektar::CellModel Class Reference

Cell model base class. More...

#include <CellModel.h>

Inheritance diagram for Nektar::CellModel:

Collaboration diagram for Nektar::CellModel:

Public Member Functions
	CellModel (const LibUtilities::SessionReaderSharedPtr &pSession, const MultiRegions::ExpListSharedPtr &pField)
virtual	~CellModel ()
void	Initialise ()
	Initialise the cell model storage and set initial conditions.
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.
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.
void	GenerateSummary (SummaryList &s)
	Print a summary of the cell model.
unsigned int	GetNumCellVariables ()
std::string	GetCellVarName (unsigned int idx)
Array< OneD, NekDouble >	GetCellSolutionCoeffs (unsigned int idx)
Array< OneD, NekDouble >	GetCellSolution (unsigned int idx)

Protected Member Functions
virtual void	v_Update (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble time)=0
virtual void	v_GenerateSummary (SummaryList &s)=0
virtual std::string	v_GetCellVarName (unsigned int idx)
virtual void	v_SetInitialConditions ()=0
void	LoadCellModel ()

Protected Attributes
LibUtilities::SessionReaderSharedPtr	m_session
	Session.
MultiRegions::ExpListSharedPtr	m_field
	Transmembrane potential field from PDE system.
int	m_nq
	Number of physical points.
int	m_nvar
	Number of variables in cell model (inc. transmembrane voltage)
NekDouble	m_lastTime
	Timestep for pde model.
int	m_substeps
	Number of substeps to take.
Array< OneD, Array< OneD, NekDouble > >	m_cellSol
	Cell model solution variables.
Array< OneD, Array< OneD, NekDouble > >	m_wsp
	Cell model integration workspace.
bool	m_useNodal
	Flag indicating whether nodal projection in use.
StdRegions::StdNodalTriExpSharedPtr	m_nodalTri
	StdNodalTri for cell model calculations.
StdRegions::StdNodalTetExpSharedPtr	m_nodalTet
Array< OneD, Array< OneD, NekDouble > >	m_nodalTmp
	Temporary array for nodal projection.
std::vector< int >	m_concentrations
	Indices of cell model variables which are concentrations.
std::vector< int >	m_gates
	Indices of cell model variables which are gates.
Array< OneD, Array< OneD, NekDouble > >	m_gates_tau
	Storage for gate tau values.

Detailed Description

Cell model base class.

The CellModel class and derived classes implement a range of cell model ODE systems. A cell model comprises a system of ion concentration variables and zero or more gating variables. Gating variables are time-integrated using the Rush-Larsen method and for each variable y, the corresponding y_inf and tau_y value is computed by Update(). The tau values are stored in separate storage to inarray/outarray, m_gates_tau.

Definition at line 65 of file CellModel.h.

Constructor & Destructor Documentation

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

Cell model base class constructor.

Definition at line 67 of file CellModel.cpp.

References Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eGaussRadauMAlpha1Beta0, Nektar::LibUtilities::eGaussRadauMAlpha2Beta0, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eNodalTetEvenlySpaced, Nektar::LibUtilities::eNodalTriEvenlySpaced, Nektar::LibUtilities::eTetrahedron, Nektar::LibUtilities::eTriangle, m_field, m_lastTime, m_nodalTet, m_nodalTri, m_nq, m_nvar, m_session, m_substeps, and m_useNodal.

    {
        m_session = pSession;
        m_field = pField;
        m_lastTime = 0.0;
        m_substeps = pSession->GetParameter("Substeps");
        m_nvar = 0;
        m_useNodal = false;

        // Number of points in nodal space is the number of coefficients
        // in modified basis
        std::set<enum LibUtilities::ShapeType> s;
        for (unsigned int i = 0; i < m_field->GetNumElmts(); ++i)
        {
            s.insert(m_field->GetExp(i)->DetShapeType());
        }

        // Use nodal projection if only triangles
        if (s.size() == 1 && (s.count(LibUtilities::eTriangle) == 1 || 
                              s.count(LibUtilities::eTetrahedron) == 1))
        {
            // This is disabled for now as it causes problems at high order.
            // m_useNodal = true;
        }

        // ---------------------------
        // Move to nodal points
        if (m_useNodal)
        {
            m_nq = pField->GetNcoeffs();
            int order = m_field->GetExp(0)->GetBasis(0)->GetNumModes();

            // Set up a nodal tri
            LibUtilities::BasisKey B0(
                LibUtilities::eModified_A, order,
                LibUtilities::PointsKey(order, LibUtilities::eGaussLobattoLegendre));
            LibUtilities::BasisKey B1(
                LibUtilities::eModified_B, order,
                LibUtilities::PointsKey(order, LibUtilities::eGaussRadauMAlpha1Beta0));
            LibUtilities::BasisKey B2(
                LibUtilities::eModified_C, order,
                LibUtilities::PointsKey(order, LibUtilities::eGaussRadauMAlpha2Beta0));

            m_nodalTri = MemoryManager<StdRegions::StdNodalTriExp>::AllocateSharedPtr(
                        B0, B1, LibUtilities::eNodalTriEvenlySpaced);
            m_nodalTet = MemoryManager<StdRegions::StdNodalTetExp>::AllocateSharedPtr(
                        B0, B1, B2, LibUtilities::eNodalTetEvenlySpaced);
        }
        else
        {
            m_nq = pField->GetTotPoints();
        }
    }

virtual Nektar::CellModel::~CellModel ( )

inlinevirtual

Definition at line 71 of file CellModel.h.

{}

Member Function Documentation

void Nektar::CellModel::GenerateSummary ( SummaryList &  s )

inline

Print a summary of the cell model.

Definition at line 92 of file CellModel.h.

References v_GenerateSummary().

        {
            v_GenerateSummary(s);
        }

Array< OneD, NekDouble > Nektar::CellModel::GetCellSolution

(

unsigned int

idx

)

Definition at line 320 of file CellModel.cpp.

References m_cellSol.

    {
        return m_cellSol[idx];
    }

Array< OneD, NekDouble > Nektar::CellModel::GetCellSolutionCoeffs

(

unsigned int

idx

)

Definition at line 290 of file CellModel.cpp.

References ASSERTL0, Nektar::LibUtilities::eTriangle, m_cellSol, m_field, m_nodalTet, m_nodalTri, m_nvar, and m_useNodal.

    {
        ASSERTL0(idx < m_nvar, "Index out of range for cell model.");

        Array<OneD, NekDouble> outarray(m_field->GetNcoeffs());
        Array<OneD, NekDouble> tmp;

        if (m_useNodal)
        {
            for (unsigned int i = 0; i < m_field->GetNumElmts(); ++i)
            {
                int coef_offset = m_field->GetCoeff_Offset(i);
                if (m_field->GetExp(0)->DetShapeType() == LibUtilities::eTriangle)
                {
                    m_nodalTri->NodalToModal(m_cellSol[idx]+coef_offset, tmp=outarray+coef_offset);
                }
                else
                {
                    m_nodalTet->NodalToModal(m_cellSol[idx]+coef_offset, tmp=outarray+coef_offset);
                }
            }
        }
        else
        {
            m_field->FwdTrans_IterPerExp(m_cellSol[idx], outarray);
        }

        return outarray;
    }

std::string Nektar::CellModel::GetCellVarName ( unsigned int  idx )

inline

Definition at line 102 of file CellModel.h.

References v_GetCellVarName().

Referenced by LoadCellModel().

        {
            return v_GetCellVarName(idx);
        }

unsigned int Nektar::CellModel::GetNumCellVariables ( )

inline

Definition at line 97 of file CellModel.h.

References m_nvar.

        {
            return m_nvar;
        }

void Nektar::CellModel::Initialise

(

)

Initialise the cell model storage and set initial conditions.

Initialise the cell model. Allocate workspace and variable storage.

Definition at line 126 of file CellModel.cpp.

References ASSERTL1, LoadCellModel(), m_cellSol, m_gates, m_gates_tau, m_nq, m_nvar, m_session, m_wsp, and v_SetInitialConditions().

    {
        ASSERTL1(m_nvar > 0, "Cell model must have at least 1 variable.");
        
        m_cellSol = Array<OneD, Array<OneD, NekDouble> >(m_nvar);
        m_wsp = Array<OneD, Array<OneD, NekDouble> >(m_nvar);
        for (unsigned int i = 0; i < m_nvar; ++i)
        {
            m_cellSol[i] = Array<OneD, NekDouble>(m_nq);
            m_wsp[i] = Array<OneD, NekDouble>(m_nq);
        }
        m_gates_tau = Array<OneD, Array<OneD, NekDouble> >(m_gates.size());
        for (unsigned int i = 0; i < m_gates.size(); ++i)
        {
            m_gates_tau[i] = Array<OneD, NekDouble>(m_nq);
        }

        if (m_session->DefinesFunction("CellModelInitialConditions"))
        {
            LoadCellModel();
        }
        else
        {
            v_SetInitialConditions();
        }
    }

void Nektar::CellModel::LoadCellModel ( )

protected

Definition at line 325 of file CellModel.cpp.

References Nektar::LibUtilities::eFunctionTypeExpression, Nektar::LibUtilities::eFunctionTypeFile, Nektar::LibUtilities::eTriangle, GetCellVarName(), Nektar::iterator, m_cellSol, m_field, m_lastTime, m_nodalTet, m_nodalTri, m_nq, m_session, m_useNodal, and Vmath::Zero().

Referenced by Initialise().

    {
        const bool root = (m_session->GetComm()->GetRank() == 0);
        const std::string fncName = "CellModelInitialConditions";
        std::string varName;
        Array<OneD, NekDouble> coeffs(m_field->GetNcoeffs());
        Array<OneD, NekDouble> tmp;

        SpatialDomains::MeshGraphSharedPtr vGraph = m_field->GetGraph();

        if (root)
        {
            cout << "Cell model initial conditions: " << endl;
        }

        // Load each cell model variable
        // j=0 and j=1 are for transmembrane or intra/extra-cellular volt.
        Vmath::Zero(m_nq, m_cellSol[0], 1);
        for(int j = 1; j < m_cellSol.num_elements(); ++j)
        {
            // Get the name of the jth variable
            varName = GetCellVarName(j);

            // Check if this variable is defined in a file or analytically
            if (m_session->GetFunctionType(fncName, varName) ==
                    LibUtilities::eFunctionTypeFile)
            {
                const std::string file =
                        m_session->GetFunctionFilename(fncName, varName);

                if (root)
                {
                    cout << "  - Field " << varName << ": from file "
                         << file << endl;
                }

                std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef;
                std::vector<std::vector<NekDouble> > FieldData;

                // Read the restart file containing this variable
                LibUtilities::FieldIOSharedPtr fld =
                    MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(m_session->GetComm());
                fld->Import(file, FieldDef, FieldData);

                LibUtilities::FieldMetaDataMap fieldMetaDataMap;
                LibUtilities::FieldMetaDataMap::iterator iter;
                fld->ImportFieldMetaData(file,fieldMetaDataMap);
                iter = fieldMetaDataMap.find("Time");
                if(iter != fieldMetaDataMap.end())
                {
                    m_lastTime = boost::lexical_cast<NekDouble>(iter->second);
                }

                // Extract the data into the modal coefficients
                for(int i = 0; i < FieldDef.size(); ++i)
                {
                    m_field->ExtractDataToCoeffs(FieldDef[i],
                                                 FieldData[i],
                                                 varName,
                                                 coeffs);
                }

                // If using nodal cell model then we do a modal->nodal transform
                // otherwise we do a backward transform onto physical points.
                if (m_useNodal)
                {
                    for (unsigned int i = 0; i < m_field->GetNumElmts(); ++i)
                    {
                        int coef_offset = m_field->GetCoeff_Offset(i);
                        if (m_field->GetExp(0)->DetShapeType() ==
                                LibUtilities::eTriangle)
                        {
                            m_nodalTri->ModalToNodal(coeffs+coef_offset,
                                                tmp=m_cellSol[j]+coef_offset);
                        }
                        else
                        {
                            m_nodalTet->ModalToNodal(coeffs+coef_offset,
                                                tmp=m_cellSol[j]+coef_offset);
                        }
                    }
                }
                else
                {
                    m_field->BwdTrans(coeffs, m_cellSol[j]);
                }
            }
            else if (m_session->GetFunctionType(fncName, varName) ==
                    LibUtilities::eFunctionTypeExpression)
            {
                LibUtilities::EquationSharedPtr equ =
                        m_session->GetFunction(fncName, varName);

                if (root)
                {
                    cout << "  - Field " << varName << ": "
                         << equ->GetExpression() << endl;
                }

                const unsigned int nphys = m_field->GetNpoints();
                Array<OneD, NekDouble> x0(nphys);
                Array<OneD, NekDouble> x1(nphys);
                Array<OneD, NekDouble> x2(nphys);
                m_field->GetCoords(x0,x1,x2);

                if (m_useNodal)
                {
                    Array<OneD, NekDouble> phys(nphys);
                    Array<OneD, NekDouble> tmpCoeffs(max(m_nodalTri->GetNcoeffs(), m_nodalTet->GetNcoeffs()));

                    equ->Evaluate(x0, x1, x2, phys);
                    for (unsigned int i = 0; i < m_field->GetNumElmts(); ++i)
                    {
                        int phys_offset = m_field->GetPhys_Offset(i);
                        int coef_offset = m_field->GetCoeff_Offset(i);
                        if (m_field->GetExp(0)->DetShapeType() ==
                                LibUtilities::eTriangle)
                        {
                            m_field->GetExp(0)->FwdTrans(
                                            phys + phys_offset, tmpCoeffs);
                            m_nodalTri->ModalToNodal(
                                            tmpCoeffs,
                                            tmp = m_cellSol[j] + coef_offset);
                        }
                        else
                        {
                            m_field->GetExp(0)->FwdTrans(
                                            phys + phys_offset, tmpCoeffs);
                            m_nodalTet->ModalToNodal(
                                            tmpCoeffs,
                                            tmp = m_cellSol[j] + coef_offset);
                        }
                    }
                }
                else
                {
                    equ->Evaluate(x0, x1, x2, m_cellSol[j]);
                }
            }
        }
    }

void Nektar::CellModel::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.

Integrates the cell model for one PDE time-step. Cell model is sub-stepped.

Ion concentrations and membrane potential are integrated using forward Euler, while gating variables are integrated using the Rush-Larsen scheme.

Definition at line 161 of file CellModel.cpp.

References Nektar::LibUtilities::eTriangle, m_cellSol, m_concentrations, m_field, m_gates, m_gates_tau, m_lastTime, m_nodalTet, m_nodalTmp, m_nodalTri, m_nq, m_substeps, m_useNodal, m_wsp, Vmath::Sdiv(), Vmath::Svtvp(), Update(), Vmath::Vcopy(), Vmath::Vexp(), Vmath::Vsub(), and Vmath::Vvtvp().

    {
        int phys_offset = 0;
        int coef_offset = 0;
        int nvar = inarray.num_elements();
        Array<OneD, NekDouble> tmp;

        // ---------------------------
        // Check nodal temp array set up
        if (m_useNodal)
        {
            if (!m_nodalTmp.num_elements())
            {
                m_nodalTmp = Array<OneD, Array<OneD, NekDouble> >(nvar);
                for (unsigned int k = 0; k < nvar; ++k)
                {
                    m_nodalTmp[k] = Array<OneD, NekDouble>(m_nq);
                }
            }

            // Move to nodal points
            Array<OneD, NekDouble> tmpCoeffs(max(m_nodalTri->GetNcoeffs(), m_nodalTet->GetNcoeffs()));

            for (unsigned int k = 0; k < nvar; ++k)
            {
                for (unsigned int i = 0; i < m_field->GetNumElmts(); ++i)
                {
                    phys_offset = m_field->GetPhys_Offset(i);
                    coef_offset = m_field->GetCoeff_Offset(i);
                    if (m_field->GetExp(0)->DetShapeType() == LibUtilities::eTriangle)
                    {
                        m_field->GetExp(0)->FwdTrans(inarray[k] + phys_offset, tmpCoeffs);
                        m_nodalTri->ModalToNodal(tmpCoeffs, tmp=m_nodalTmp[k]+coef_offset);
                    }
                    else
                    {
                        m_field->GetExp(0)->FwdTrans(inarray[k] + phys_offset, tmpCoeffs);
                        m_nodalTet->ModalToNodal(tmpCoeffs, tmp=m_nodalTmp[k]+coef_offset);
                    }
                }
            }
            // Copy new transmembrane potential into cell model
            Vmath::Vcopy(m_nq, m_nodalTmp[0], 1, m_cellSol[0], 1);
        }
        else
        {
            // Copy new transmembrane potential into cell model
            Vmath::Vcopy(m_nq, inarray[0], 1, m_cellSol[0], 1);
        }
        // -------------------------

        NekDouble delta_t = (time - m_lastTime)/m_substeps;


        // Perform substepping
        for (unsigned int i = 0; i < m_substeps - 1; ++i)
        {
            Update(m_cellSol, m_wsp, time);
            // Voltage
            Vmath::Svtvp(m_nq, delta_t, m_wsp[0], 1, m_cellSol[0], 1, m_cellSol[0], 1);
            // Ion concentrations
            for (unsigned int j = 0; j < m_concentrations.size(); ++j)
            {
                Vmath::Svtvp(m_nq, delta_t, m_wsp[m_concentrations[j]], 1, m_cellSol[m_concentrations[j]], 1, m_cellSol[m_concentrations[j]], 1);
            }
            // Gating variables: Rush-Larsen scheme
            for (unsigned int j = 0; j < m_gates.size(); ++j)
            {
                Vmath::Sdiv(m_nq, -delta_t, m_gates_tau[j], 1, m_gates_tau[j], 1);
                Vmath::Vexp(m_nq, m_gates_tau[j], 1, m_gates_tau[j], 1);
                Vmath::Vsub(m_nq, m_cellSol[m_gates[j]], 1, m_wsp[m_gates[j]], 1, m_cellSol[m_gates[j]], 1);
                Vmath::Vvtvp(m_nq, m_cellSol[m_gates[j]], 1, m_gates_tau[j], 1, m_wsp[m_gates[j]], 1, m_cellSol[m_gates[j]], 1);
            }
        }

        // Perform final cell model step
        Update(m_cellSol, m_wsp, time);

        // Output dV/dt from last step but integrate remaining cell model vars
        // Transform cell model I_total from nodal to modal space
        if (m_useNodal)
        {
            Array<OneD, NekDouble> tmpCoeffs(max(m_nodalTri->GetNcoeffs(), m_nodalTet->GetNcoeffs()));

            for (unsigned int k = 0; k < nvar; ++k)
            {
                for (unsigned int i = 0; i < m_field->GetNumElmts(); ++i)
                {
                    int phys_offset = m_field->GetPhys_Offset(i);
                    int coef_offset = m_field->GetCoeff_Offset(i);
                    if (m_field->GetExp(0)->DetShapeType() == LibUtilities::eTriangle)
                    {
                        m_nodalTri->NodalToModal(m_wsp[k]+coef_offset, tmpCoeffs);
                        m_field->GetExp(0)->BwdTrans(tmpCoeffs, tmp=outarray[k] + phys_offset);
                    }
                    else
                    {
                        m_nodalTet->NodalToModal(m_wsp[k]+coef_offset, tmpCoeffs);
                        m_field->GetExp(0)->BwdTrans(tmpCoeffs, tmp=outarray[k] + phys_offset);
                    }
                }
            }
        }
        else
        {
            Vmath::Vcopy(m_nq, m_wsp[0], 1, outarray[0], 1);
        }

        // Ion concentrations
        for (unsigned int j = 0; j < m_concentrations.size(); ++j)
        {
            Vmath::Svtvp(m_nq, delta_t, m_wsp[m_concentrations[j]], 1, m_cellSol[m_concentrations[j]], 1, m_cellSol[m_concentrations[j]], 1);
        }

        // Gating variables: Rush-Larsen scheme
        for (unsigned int j = 0; j < m_gates.size(); ++j)
        {
            Vmath::Sdiv(m_nq, -delta_t, m_gates_tau[j], 1, m_gates_tau[j], 1);
            Vmath::Vexp(m_nq, m_gates_tau[j], 1, m_gates_tau[j], 1);
            Vmath::Vsub(m_nq, m_cellSol[m_gates[j]], 1, m_wsp[m_gates[j]], 1, m_cellSol[m_gates[j]], 1);
            Vmath::Vvtvp(m_nq, m_cellSol[m_gates[j]], 1, m_gates_tau[j], 1, m_wsp[m_gates[j]], 1, m_cellSol[m_gates[j]], 1);
        }

        m_lastTime = time;
    }

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

inline

Compute the derivatives of cell model variables.

Definition at line 83 of file CellModel.h.

References v_Update().

Referenced by TimeIntegrate().

        {
            v_Update(inarray, outarray, time);
        }

virtual void Nektar::CellModel::v_GenerateSummary ( SummaryList &  s )

protectedpure virtual

Implemented in Nektar::CourtemancheRamirezNattel98, Nektar::FentonKarma, Nektar::Winslow99, Nektar::LuoRudy91, Nektar::Fox02, Nektar::TenTusscher06, Nektar::CellModelFitzHughNagumo, Nektar::CellModelAlievPanfilov, and Nektar::PanditGilesDemir03.

Referenced by GenerateSummary().

virtual std::string Nektar::CellModel::v_GetCellVarName ( unsigned int  idx )

inlineprotectedvirtual

Reimplemented in Nektar::CourtemancheRamirezNattel98, and Nektar::FentonKarma.

Definition at line 152 of file CellModel.h.

Referenced by GetCellVarName().

        {
            return "Var" + boost::lexical_cast<std::string>(idx);
        }

virtual void Nektar::CellModel::v_SetInitialConditions ( )

protectedpure virtual

Implemented in Nektar::CourtemancheRamirezNattel98, Nektar::Winslow99, Nektar::FentonKarma, Nektar::LuoRudy91, Nektar::Fox02, Nektar::TenTusscher06, Nektar::CellModelFitzHughNagumo, and Nektar::CellModelAlievPanfilov.

Referenced by Initialise().

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

protectedpure virtual

Implemented in Nektar::CourtemancheRamirezNattel98, Nektar::FentonKarma, Nektar::Winslow99, Nektar::Fox02, Nektar::LuoRudy91, Nektar::CellModelFitzHughNagumo, Nektar::TenTusscher06, Nektar::CellModelAlievPanfilov, and Nektar::PanditGilesDemir03.

Referenced by Update().

Member Data Documentation

Array<OneD, Array<OneD, NekDouble> > Nektar::CellModel::m_cellSol

protected

Cell model solution variables.

Definition at line 126 of file CellModel.h.

Referenced by GetCellSolution(), GetCellSolutionCoeffs(), Initialise(), LoadCellModel(), TimeIntegrate(), Nektar::CellModelAlievPanfilov::v_SetInitialConditions(), Nektar::CellModelFitzHughNagumo::v_SetInitialConditions(), Nektar::TenTusscher06::v_SetInitialConditions(), Nektar::Fox02::v_SetInitialConditions(), Nektar::LuoRudy91::v_SetInitialConditions(), Nektar::FentonKarma::v_SetInitialConditions(), Nektar::CourtemancheRamirezNattel98::v_SetInitialConditions(), and Nektar::Winslow99::v_SetInitialConditions().

std::vector<int> Nektar::CellModel::m_concentrations

protected

Indices of cell model variables which are concentrations.

Definition at line 139 of file CellModel.h.

Referenced by Nektar::CellModelAlievPanfilov::CellModelAlievPanfilov(), Nektar::CellModelFitzHughNagumo::CellModelFitzHughNagumo(), Nektar::CourtemancheRamirezNattel98::CourtemancheRamirezNattel98(), Nektar::Fox02::Fox02(), Nektar::LuoRudy91::LuoRudy91(), Nektar::TenTusscher06::TenTusscher06(), TimeIntegrate(), and Nektar::Winslow99::Winslow99().

MultiRegions::ExpListSharedPtr Nektar::CellModel::m_field

protected

Transmembrane potential field from PDE system.

Definition at line 115 of file CellModel.h.

Referenced by CellModel(), GetCellSolutionCoeffs(), LoadCellModel(), and TimeIntegrate().

std::vector<int> Nektar::CellModel::m_gates

protected

Indices of cell model variables which are gates.

Definition at line 141 of file CellModel.h.

Referenced by Nektar::CourtemancheRamirezNattel98::CourtemancheRamirezNattel98(), Nektar::FentonKarma::FentonKarma(), Nektar::Fox02::Fox02(), Initialise(), Nektar::LuoRudy91::LuoRudy91(), Nektar::TenTusscher06::TenTusscher06(), TimeIntegrate(), and Nektar::Winslow99::Winslow99().

Array<OneD, Array<OneD, NekDouble> > Nektar::CellModel::m_gates_tau

protected

Storage for gate tau values.

Definition at line 143 of file CellModel.h.

Referenced by Initialise(), TimeIntegrate(), Nektar::TenTusscher06::v_Update(), Nektar::LuoRudy91::v_Update(), Nektar::FentonKarma::v_Update(), and Nektar::CourtemancheRamirezNattel98::v_Update().

NekDouble Nektar::CellModel::m_lastTime

protected

Timestep for pde model.

Definition at line 121 of file CellModel.h.

Referenced by CellModel(), LoadCellModel(), and TimeIntegrate().

StdRegions::StdNodalTetExpSharedPtr Nektar::CellModel::m_nodalTet

protected

Definition at line 134 of file CellModel.h.

Referenced by CellModel(), GetCellSolutionCoeffs(), LoadCellModel(), and TimeIntegrate().

Array<OneD, Array<OneD, NekDouble> > Nektar::CellModel::m_nodalTmp

protected

Temporary array for nodal projection.

Definition at line 136 of file CellModel.h.

Referenced by TimeIntegrate().

StdRegions::StdNodalTriExpSharedPtr Nektar::CellModel::m_nodalTri

protected

StdNodalTri for cell model calculations.

Definition at line 133 of file CellModel.h.

Referenced by CellModel(), GetCellSolutionCoeffs(), LoadCellModel(), and TimeIntegrate().

int Nektar::CellModel::m_nq

protected

Number of physical points.

Definition at line 117 of file CellModel.h.

Referenced by CellModel(), Nektar::CellModelAlievPanfilov::CellModelAlievPanfilov(), Nektar::CellModelFitzHughNagumo::CellModelFitzHughNagumo(), Initialise(), LoadCellModel(), Nektar::LuoRudy91::LuoRudy91(), Nektar::PanditGilesDemir03::PanditGilesDemir03(), TimeIntegrate(), Nektar::CellModelAlievPanfilov::v_SetInitialConditions(), Nektar::CellModelFitzHughNagumo::v_SetInitialConditions(), Nektar::Fox02::v_SetInitialConditions(), Nektar::TenTusscher06::v_SetInitialConditions(), Nektar::LuoRudy91::v_SetInitialConditions(), Nektar::FentonKarma::v_SetInitialConditions(), Nektar::Winslow99::v_SetInitialConditions(), Nektar::CourtemancheRamirezNattel98::v_SetInitialConditions(), Nektar::PanditGilesDemir03::v_Update(), Nektar::CellModelAlievPanfilov::v_Update(), Nektar::CellModelFitzHughNagumo::v_Update(), Nektar::TenTusscher06::v_Update(), Nektar::LuoRudy91::v_Update(), Nektar::Fox02::v_Update(), Nektar::Winslow99::v_Update(), Nektar::FentonKarma::v_Update(), and Nektar::CourtemancheRamirezNattel98::v_Update().

int Nektar::CellModel::m_nvar

protected

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

Definition at line 119 of file CellModel.h.

Referenced by CellModel(), Nektar::CellModelAlievPanfilov::CellModelAlievPanfilov(), Nektar::CellModelFitzHughNagumo::CellModelFitzHughNagumo(), Nektar::CourtemancheRamirezNattel98::CourtemancheRamirezNattel98(), Nektar::FentonKarma::FentonKarma(), Nektar::Fox02::Fox02(), GetCellSolutionCoeffs(), GetNumCellVariables(), Initialise(), Nektar::LuoRudy91::LuoRudy91(), Nektar::TenTusscher06::TenTusscher06(), and Nektar::Winslow99::Winslow99().

LibUtilities::SessionReaderSharedPtr Nektar::CellModel::m_session

protected

Session.

Definition at line 113 of file CellModel.h.

Referenced by CellModel(), Initialise(), and LoadCellModel().

int Nektar::CellModel::m_substeps

protected

Number of substeps to take.

Definition at line 123 of file CellModel.h.

Referenced by CellModel(), and TimeIntegrate().

bool Nektar::CellModel::m_useNodal

protected

Flag indicating whether nodal projection in use.

Definition at line 131 of file CellModel.h.

Referenced by CellModel(), GetCellSolutionCoeffs(), LoadCellModel(), and TimeIntegrate().

Array<OneD, Array<OneD, NekDouble> > Nektar::CellModel::m_wsp

protected

Cell model integration workspace.

Definition at line 128 of file CellModel.h.

Referenced by Initialise(), and TimeIntegrate().