Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

The biomolecule is among the most important building blocks of biological systems, and a
full understanding of its function forms the scaffold for describing the mechanisms of higher …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Biomembranes are exceptionally crowded with proteins with typical protein-to-lipid ratios
being around 1∶ 50− 1∶ 100. Protein crowding has a decisive role in lateral membrane …

The remaining travel time of a plane shortens with every minute that passes from its
departure, and a flame diminishes a candle with every second it burns. Such everyday …

Diffusion plays a crucial role in many biological processes including signaling, cellular
organization, transport mechanisms, and more. Direct observation of molecular movement …

How does a systematic time-dependence of the diffusion coefficient D (t) affect the ergodic
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …

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 …

Native mucus is polymer-based soft-matter material of paramount biological importance.
How non-Gaussian and non-ergodic is the diffusive spreading of pathogens in mucus? We …

Numerous examples for a priori unexpected non-Gaussian behaviour for normal and
anomalous diffusion have recently been reported in single-particle tracking experiments …