GeomLib::SpikingQifNeuralDynamics Class Reference

#include <libs/GeomLib/SpikingQifNeuralDynamics.hpp>

Inheritance diagram for GeomLib::SpikingQifNeuralDynamics:

Collaboration diagram for GeomLib::SpikingQifNeuralDynamics:

Public Member Functions
	SpikingQifNeuralDynamics (const OdeParameter &, const QifParameter &)
	SpikingQifNeuralDynamics (const SpikingQifNeuralDynamics &)
virtual	~SpikingQifNeuralDynamics ()
virtual SpikingQifNeuralDynamics *	Clone () const
virtual Potential	EvolvePotential (Potential, MPILib::Time) const =0
virtual Potential	EvolvePotential (Potential, Time) const
virtual std::vector< Potential >	InterpretationArray () const
const OdeParameter &	Par () const
const CurrentCompensationParameter &	ParCur () const
const QifParameter &	ParQif () const
virtual Time	TimeToInf (Potential) const
virtual Time	TPeriod () const
virtual Time	TStep () const

Protected Attributes
const OdeParameter	_par
const CurrentCompensationParameter	_par_current
const QifParameter	_par_qif

Detailed Description

This class models the dynamics of of Quadratic Integrate and Fire (QIF) neurons.

This model is discussed extensively in Izhikevich's book 'Dynamical Systems in Neuroscience'. By a suitable choice of units a more complex equation can be simplified to a 'topological normal form':

\[ \frac{dV}{dt} = I + V^2 \]

Under this equation V may reach infinity in finite time. It is assumed that the neuron's potential will be reset to \( V_{reset} \) after this time. In simulations it is necessary to chose a finite value \( V_{peak} \) as the maximum that a neuron's membrane potential can attain. In the QIF model an instantaneous reset to \( V_{reset} \) will occur. Configuration requires a QIFParameter and an OdeParameter.

Definition at line 43 of file SpikingQifNeuralDynamics.hpp.

Constructor & Destructor Documentation

SpikingQifNeuralDynamics::SpikingQifNeuralDynamics	(	const OdeParameter &	par_ode,
		const QifParameter &	par_qif
	)

Standard constructor.

Parameters

par_ode	general parameters
par_qif	parameter specific to QIF dynamics

Definition at line 26 of file SpikingQifNeuralDynamics.cpp.

Referenced by Clone().

SpikingQifNeuralDynamics::SpikingQifNeuralDynamics

(

const SpikingQifNeuralDynamics &

dyn

)

Definition at line 39 of file SpikingQifNeuralDynamics.cpp.

SpikingQifNeuralDynamics::~SpikingQifNeuralDynamics ( )

virtual

Definition at line 47 of file SpikingQifNeuralDynamics.cpp.

Member Function Documentation

SpikingQifNeuralDynamics * SpikingQifNeuralDynamics::Clone ( ) const

virtual

virtual construction mechanism

Implements GeomLib::SpikingNeuralDynamics.

Definition at line 69 of file SpikingQifNeuralDynamics.cpp.

References SpikingQifNeuralDynamics().

virtual Potential GeomLib::AbstractNeuralDynamics::EvolvePotential ( Potential  , MPILib::Time    ) const

pure virtualinherited

Given a potential, specify how it evolves over a given time step The range of validity of this function is determined by the overloaded function.

Potential SpikingQifNeuralDynamics::EvolvePotential ( Potential  V, Time  t  ) const

virtual

Definition at line 51 of file SpikingQifNeuralDynamics.cpp.

References GeomLib::AbstractNeuralDynamics::_par, GeomLib::OdeParameter::_par_pop, _par_qif, GeomLib::NeuronParameter::_tau, GeomLib::QifParameter::Gammasys(), and TimeToInf().

std::vector< Potential > SpikingNeuralDynamics::InterpretationArray ( ) const

virtualinherited

Generate the bin boundaries for geometric binning based on the dyn.

Implements GeomLib::AbstractNeuralDynamics.

Definition at line 45 of file SpikingNeuralDynamics.cpp.

References i.

const OdeParameter& GeomLib::AbstractNeuralDynamics::Par ( ) const

inlineinherited

Provide efficient access. For use in time critical code.

Definition at line 65 of file AbstractNeuralDynamics.hpp.

References GeomLib::AbstractNeuralDynamics::_par.

const CurrentCompensationParameter& GeomLib::AbstractNeuralDynamics::ParCur ( ) const

inlineinherited

Return the current compensation object; can be used to test whether current compensation is applied.

Definition at line 78 of file AbstractNeuralDynamics.hpp.

References GeomLib::AbstractNeuralDynamics::_par_current.

const QifParameter& GeomLib::SpikingQifNeuralDynamics::ParQif ( ) const

inline

Definition at line 77 of file SpikingQifNeuralDynamics.hpp.

References _par_qif.

Time SpikingQifNeuralDynamics::TimeToInf ( Potential  V ) const

virtual

calculate time to reach threshold for the given potential

Implements GeomLib::SpikingNeuralDynamics.

Definition at line 62 of file SpikingQifNeuralDynamics.cpp.

References GeomLib::AbstractNeuralDynamics::_par, GeomLib::OdeParameter::_par_pop, _par_qif, GeomLib::NeuronParameter::_tau, GeomLib::NeuronParameter::_theta, GeomLib::QifParameter::Gammasys(), and t.

Referenced by EvolvePotential(), and TPeriod().

Time SpikingQifNeuralDynamics::TPeriod ( ) const

virtual

time it takes for a neuron to traverse from V_min to threshold

Implements GeomLib::AbstractNeuralDynamics.

Definition at line 75 of file SpikingQifNeuralDynamics.cpp.

References GeomLib::AbstractNeuralDynamics::_par, GeomLib::OdeParameter::_V_min, and TimeToInf().

Referenced by TStep().

Time SpikingQifNeuralDynamics::TStep ( ) const

virtual

time it takes to move density one grid forwards

Implements GeomLib::AbstractNeuralDynamics.

Definition at line 81 of file SpikingQifNeuralDynamics.cpp.

References GeomLib::OdeParameter::_nr_bins, GeomLib::AbstractNeuralDynamics::_par, and TPeriod().

Member Data Documentation

const OdeParameter GeomLib::AbstractNeuralDynamics::_par

protectedinherited

Time critical access for derived classes.

Definition at line 83 of file AbstractNeuralDynamics.hpp.

Referenced by GeomLib::SpikingLifNeuralDynamics::EvolvePotential(), EvolvePotential(), GeomLib::LifNeuralDynamics::InterpretationArray(), GeomLib::LifNeuralDynamics::Nneginit(), GeomLib::LifNeuralDynamics::Nposinit(), GeomLib::AbstractNeuralDynamics::Par(), GeomLib::LifNeuralDynamics::TimePeriod(), GeomLib::SpikingLifNeuralDynamics::TimeToInf(), TimeToInf(), GeomLib::SpikingLifNeuralDynamics::TPeriod(), TPeriod(), GeomLib::SpikingLifNeuralDynamics::TStep(), and TStep().

const CurrentCompensationParameter GeomLib::AbstractNeuralDynamics::_par_current

protectedinherited

For use in the concrete dynamics instantiation.

Definition at line 86 of file AbstractNeuralDynamics.hpp.

Referenced by GeomLib::AbstractNeuralDynamics::ParCur().

const QifParameter GeomLib::SpikingQifNeuralDynamics::_par_qif

protected

Definition at line 81 of file SpikingQifNeuralDynamics.hpp.

Referenced by EvolvePotential(), ParQif(), and TimeToInf().

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

• /Users/scsmdk/miind-git/libs/GeomLib/SpikingQifNeuralDynamics.hpp
• /Users/scsmdk/miind-git/libs/GeomLib/SpikingQifNeuralDynamics.cpp