Escape rates in periodically driven Markov processes

Details Escape rates in periodically driven Markov processes Escape rates in periodically driven Markov processes

2006-01-09

arxiv.org/abs/physics/0601045v1

Physica A 351 (2005) 40-50

Physics

Data Analysis, Statistics and Probability

10 pages, 5 figures

Scientific paper

10.1016/j.physa.2004.12.020

We present an approximate analytical expression for the escape rate of time-dependent driven stochastic processes with an absorbing boundary such as the driven leaky integrate-and-fire model for neural spiking. The novel approximation is based on a discrete state Markovian modeling of the full long-time dynamics with time-dependent rates. It is valid in a wide parameter regime beyond the restraining limits of weak driving (linear response) and/or weak noise. The scheme is carefully tested and yields excellent agreement with three different numerical methods based on the Langevin equation, the Fokker-Planck equation and an integral equation.

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