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

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.

Published: August 2009

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.

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http://dx.doi.org/10.1103/PhysRevE.80.021904DOI Listing

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