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

Published In
DOI
ISSN
Publication Date
Volume
Issue
Start / End Page
Location
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