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 study of the diffusive motion of ions or molecules in confined biological microdomains
requires the derivation of the explicit dependence of quantities, such as the decay rate of the …

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 nonoverlapping absorbing windows, or traps, on its …

The mean first passage time (MFPT) is calculated for a Brownian particle in a bounded two-
dimensional domain that contains N small nonoverlapping absorbing windows 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 …

The time needed for a particle to exit a confining domain through a small window, called the
narrow-escape time (NET), is a limiting factor of various processes, such as some …

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 …