Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics.


Journal Article

We consider a model of an integrate-and-fire neuron with synaptic current dynamics, in which the synaptic time constant tau' is much smaller than the membrane time constant tau. We calculate analytically the firing frequency of such a neuron for inputs described by a random Gaussian process. We find that the first order correction to the frequency due to tau' is proportional to the square root of the ratio between these time constants radicaltau'/tau. This implies that the correction is important even when the synaptic time constant is small compared with that of the potential. The frequency of a neuron with tau'>0 can be reduced to that of the basic IF neuron (corresponding to tau'=1) using an "effective" threshold which has a linear dependence on radical tau'/tau. Numerical simulations show a very good agreement with the analytical result, and permit an extrapolation of the "effective" threshold to higher orders in radical tau'/tau. The obtained frequency agrees with simulation data for a wide range of parameters.

Full Text

Duke Authors

Cited Authors

  • Brunel, N; Sergi, S

Published Date

  • November 7, 1998

Published In

Volume / Issue

  • 195 / 1

Start / End Page

  • 87 - 95

PubMed ID

  • 9802952

Pubmed Central ID

  • 9802952

International Standard Serial Number (ISSN)

  • 0022-5193

Digital Object Identifier (DOI)

  • 10.1006/jtbi.1998.0782


  • eng

Conference Location

  • England