Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics.
Published
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
Language
- eng
Conference Location
- England