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

Publication ,  Journal Article
Brunel, N; Sergi, S
Published in: J Theor Biol
November 7, 1998

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.

Duke Scholars

Published In

J Theor Biol

DOI

ISSN

0022-5193

Publication Date

November 7, 1998

Volume

195

Issue

1

Start / End Page

87 / 95

Location

England

Related Subject Headings

  • Synaptic Transmission
  • Neurons
  • Models, Neurological
  • Membrane Potentials
  • Evolutionary Biology
  • Computer Simulation
  • Animals
  • 49 Mathematical sciences
  • 31 Biological sciences
  • 08 Information and Computing Sciences
 

Citation

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Brunel, N., & Sergi, S. (1998). Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics. J Theor Biol, 195(1), 87–95. https://doi.org/10.1006/jtbi.1998.0782
Brunel, N., and S. Sergi. “Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics.J Theor Biol 195, no. 1 (November 7, 1998): 87–95. https://doi.org/10.1006/jtbi.1998.0782.
Brunel N, Sergi S. Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics. J Theor Biol. 1998 Nov 7;195(1):87–95.
Brunel, N., and S. Sergi. “Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics.J Theor Biol, vol. 195, no. 1, Nov. 1998, pp. 87–95. Pubmed, doi:10.1006/jtbi.1998.0782.
Brunel N, Sergi S. Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics. J Theor Biol. 1998 Nov 7;195(1):87–95.
Journal cover image

Published In

J Theor Biol

DOI

ISSN

0022-5193

Publication Date

November 7, 1998

Volume

195

Issue

1

Start / End Page

87 / 95

Location

England

Related Subject Headings

  • Synaptic Transmission
  • Neurons
  • Models, Neurological
  • Membrane Potentials
  • Evolutionary Biology
  • Computer Simulation
  • Animals
  • 49 Mathematical sciences
  • 31 Biological sciences
  • 08 Information and Computing Sciences