Firing time statistics for driven neuron models: analytic expressions versus numerics.
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.
Institut für Physik, Universität Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.
Michael
M
Schindler
Peter
P
Talkner
Peter
P
Hänggi
D004558:Electric Stimulation; D016014:Linear Models; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013269:Stochastic Processes