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 …

A panoply of new tools for tracking single particles and molecules has led to an explosion of
experimental data, leading to novel insights into physical properties of living matter …

Diffusion-mediated surface phenomena are crucial for human life and industry, with
examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis …

Most biochemical reactions in living cells rely on diffusive search for target molecules or
regions in a heterogeneous overcrowded cytoplasmic medium. Rapid rearrangements of the …

Textbook concepts of diffusion-versus kinetic-control are well-defined for reaction-kinetics
involving macroscopic concentrations of diffusive reactants that are adequately described by …

We develop an encounter-based approach for describing restricted diffusion with a gradient
drift toward a partially reactive boundary. For this purpose, we introduce an extension of the …

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 …

Depletion of natural and artificial resources is a fundamental problem and a potential cause
of economic crises, ecological catastrophes, and death of living organisms. Understanding …

The paradigm of chemical activation rates in cellular biology has been shifted from the mean
arrival time of a single particle to the mean of the first among many particles to arrive at a …