The interior of a living cell is a crowded, heterogenuous, fluctuating environment. Hence, a
major challenge in modeling intracellular transport is to analyze stochastic processes within …

We present a general theory which allows one to accurately evaluate the mean first-passage
time (FPT) for regular random walks in bounded domains, and its extensions to related first …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

The narrow escape problem in diffusion theory is to calculate the mean first passage time of
a diffusion process to a small target on the reflecting boundary of a bounded domain. The …

The mean first passage time (MFPT) is calculated for a Brownian particle in a spherical
domain in R^3 that contains N small nonoverlap** absorbing windows, or traps, on its …

This monograph consists of two main parts, mathematical and biological. The mathematical
part, which is quite sophisticated involving advanced asymptotic methods in partial …

We consider the first-passage problem for N identical independent particles that are initially
released uniformly in a finite domain Ω and then diffuse toward a reactive area Γ, which can …

In the scenario of the narrow escape problem (NEP) a particle diffuses in a finite container
and eventually leaves it through a small'escape window'in the otherwise impermeable …

We present an exact calculation of the mean first-passage time to a small target on the
surface of a 2D or 3D spherical domain, for a molecule performing surface-mediated …

We study the first passage time problem for a diffusing molecule in an enclosed region to hit
a small spherical target whose surface contains many small absorbing traps. This study is …