56 citations · 119 across the 4 of their papers we have counts for
4 papers
Impact of inertia on biased Brownian transport in confined geometries
Steffen Martens, Igor M. Sokolov, Lutz Schimansky-Geier
We consider the impact of inertia on biased Brownian motion of point particles in a two-dimensional channel with sinusoidally varying width. If the time scales of the problem separ…
First Passage Time Densities in Resonate-and-Fire Models
T. Verechtchaguina, I. M. Sokolov, L. Schimansky-Geier
Motivated by the dynamics of resonant neurons we discuss the properties of the first passage time (FPT) densities for nonmarkovian differentiable random processes. We start from an…
First Passage Time Densities in Non-Markovian Models with Subthreshold Oscillations
T. Verechtchaguina, I. M. Sokolov, L. Schimansky-Geier
Motivated by the dynamics of resonant neurons we consider a differentiable, non-Markovian random process and particularly the time after which it will reach a certain level…
Spectra and waiting-time densities in firing resonant and nonresonant neurons
T. Verechtchaguina, L. Schimansky-Geier, I. M. Sokolov
The response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonan…