We review the milestones in the century-long development of the theory of diffusion-
controlled reactions. Starting from the seminal work by von Smoluchowski, who recognized …

This paper studies the problem of receiver modeling in molecular communication systems.
We consider the diffusive molecular communication channel between a transmitter nano …

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 …

We propose a general theoretical description of chemical reactions occurring on a catalytic
surface with heterogeneous reactivity. The propagator of a diffusion-reaction process with …

Transport in confined structures of varying geometry has become the subject of growing
attention in recent years since such structures are ubiquitous in biology and technology. In …

We develop a theory of reversible diffusion-controlled reactions with generalized
binding/unbinding kinetics. In this framework, a diffusing particle can bind to the reactive …

How long does a diffusing molecule spend in a close vicinity of a confining boundary or a
catalytic surface? This quantity is determined by the boundary local time, which plays thus a …

An essential ability of many cell types is to detect stimuli in the form of shallow chemical
gradients. Such cues may indicate the direction that new growth should occur, or the …

We present a generalized analytical model to investigate acoustic scattering by a lattice of
voids of arbitrary shape in a viscoelastic matrix. To this end, we represent the lattice of voids …

We investigate restricted diffusion in a bounded domain towards a small partially reactive
target in three-and higher-dimensional spaces. We propose a simple explicit approximation …