Mathematical models are an important tool for neuroscientists. During the last 30 years
many papers have appeared on single neuron description and specifically on stochastic …

Parameters in diffusion neuronal models are divided into two groups; intrinsic and input
parameters. Intrinsic parameters are related to the properties of the neuronal membrane and …

Memory is an indispensible element for a computer in addition to logic gates. In this Letter
we report a model of thermal memory. We demonstrate via numerical simulation that thermal …

Motivated by recent experiments, we consider the hydrodynamic capture of a microswimmer
near a stationary spherical obstacle. Simulations of model equations show that a swimmer …

A detailed study of the asymptotic behavior of the first-passage-time pdf and its moments is
carried out for an unrestricted conditional Ornstein-Uhlenbeck process and for a constant …

The first-passage-time pdf through a time-dependent boundary for one-dimensional
diffusion processes is proved to satisfy a new Volterra integral equation of the second kind …

The implications of Stribeck friction (a nonlinear low-velocity friction effect that contributes to
and perhaps dominates stick-slip motion) for feedback control are explored. Through the use …

Applications of first passage times in stochastic processes arise across a wide range of
length and time scales in biological settings. After an initial technical overview, we survey …

Forecasting population decline to a certain critical threshold (the quasi‐extinction risk) is one
of the central objectives of population viability analysis (PVA), and such predictions figure …

Spatially-coupled low-density parity-check (SC-LDPC) codes are known to have excellent
asymptotic properties. Much less is known regarding their finite-length performance. We …