Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics

Details Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics

2004-01-10

arxiv.org/abs/q-bio/0401015v2

Phys. Rev. Lett 93 (2004) 048102

Biology

Quantitative Biology

Neurons and Cognition

4 pages, 4 figures, RevTeX4 used, final version

Scientific paper

10.1103/PhysRevLett.93.048102

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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