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

Gregor Kovačič, Louis Tao, Aaditya V. Rangan, David Cai

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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 - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number2
DOIs
StatePublished - Aug 6 2009

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ASJC Scopus subject areas

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

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