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Switching 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 (LIF) 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 dynamics with time-dependent rates. The scheme yields very good agreement with numerical Langevin and Fokker-Planck simulations of the full non-stationary dynamics for both, the first-passage time statistics and the interspike interval (residence time) distributions.

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Michael Schindler, Peter Talkner, Peter Hänggi. 2006-01-09. Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics. https://doi.org/10.1103/physrevlett.93.048102

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