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

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 1):021904. doi: 10.1103/PhysRevE.80.021904. Epub 2009 Aug 6.

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.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Electric Conductivity*
  • Kinetics
  • Models, Neurological*
  • Nerve Net / cytology
  • Nerve Net / physiology*
  • Probability
  • Quantum Theory
  • Reproducibility of Results
  • Synapses / metabolism