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PubMed · 15323796

Firing time statistics for driven neuron models: analytic expressions versus numerics.

Michael Schindler·Peter Talkner·Peter Hänggi
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Abstract

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire model. The method is valid in a wide parameter regime beyond the restraining limits of weak driving (linear response) and/or weak noise. The novel approximation is based on a discrete state Markovian modeling of the full long-time dynamics with time-dependent rates. The scheme yields excellent agreement with numerical Langevin and Fokker-Planck simulations of the full nonstationary dynamics, not only for the first-passage time statistics, but also for the important interspike interval (residence time) distribution.

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Electric StimulationLinear ModelsModels, NeurologicalNeuronsStochastic ProcessesJournal ArticleResearch Support, Non-U.S. Gov't

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BibTeXRIS

Michael Schindler, Peter Talkner, Peter Hänggi. 2004-07-23. Firing time statistics for driven neuron models: analytic expressions versus numerics.. https://doi.org/10.1103/physrevlett.93.048102

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