Fokker-planck description of conductance-based integrate-and-fire neuronal networks

Gregor Kovačič, Louis Tao, Aaditya Rangan, David Cai

Research output: Contribution to journalArticle

Abstract

Steady dynamics of coupled conductance-based integrate-and-fire neuronal networks in the limit of small fluctuations is studied via the equilibrium states of a Fokker-Planck equation. An asymptotic approximation for the membrane-potential probability density function is derived and the corresponding gain curves are found. Validity conditions are discussed for the Fokker-Planck description and verified via direct numerical simulations.

Original languageEnglish (US)
Article number021904
JournalPhysical Review E
Volume80
Issue number2
DOIs
StatePublished - Aug 6 2009

Fingerprint

Neuronal Network
Membrane Potential
Fokker-Planck
Asymptotic Approximation
Fokker-Planck equation
Fokker-Planck Equation
Conductance
probability density functions
direct numerical simulation
Equilibrium State
Probability density function
Integrate
Fluctuations
membranes
Curve
curves
approximation
Direct numerical Simulation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Fokker-planck description of conductance-based integrate-and-fire neuronal networks. / Kovačič, Gregor; Tao, Louis; Rangan, Aaditya; Cai, David.

In: Physical Review E, Vol. 80, No. 2, 021904, 06.08.2009.

Research output: Contribution to journalArticle

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