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

نویسندگان

  • Michael Schindler
  • Peter Talkner
  • Peter Hänggi
چکیده

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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عنوان ژورنال:
  • Physical review letters

دوره 93 4  شماره 

صفحات  -

تاریخ انتشار 2004