The dynamics of constituents and the surface response of cellular membranes—also in
connection to the binding of various particles and macromolecules to the membrane—are …

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 …

When does a diffusing particle reach its target for the first time? This first-passage time (FPT)
problem is central to the kinetics of molecular reactions in chemistry and molecular biology …

Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …

The enormous size of mammalian genomes means that for a DNA-binding protein the
number of nonspecific, off-target sites vastly exceeds the number of specific, cognate sites …

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

Brownian motion and viscoelastic anomalous diffusion in homogeneous environments are
intrinsically Gaussian processes. In a growing number of systems, however, non-Gaussian …

There has been a resurgence of interest in non-equilibrium stochastic processes in recent
years, driven in part by the observation that the number of molecules (genes, mRNA …

For both Lévy flight and Lévy walk search processes we analyse the full distribution of first-
passage and first-hitting (or first-arrival) times. These are, respectively, the times when the …

The passive and active motion of micron-sized tracer particles in crowded liquids and inside
living biological cells is ubiquitously characterised by'viscoelastic'anomalous diffusion, in …