Optical microscopy has for centuries been a key tool to study living cells with minimum
invasiveness. The advent of single molecule techniques over the past two decades has …

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 …

Deviations from Brownian motion leading to anomalous diffusion are found in transport
dynamics from quantum physics to life sciences. The characterization of anomalous diffusion …

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 …

A ubiquitous observation in cell biology is that the diffusive motion of macromolecules and
organelles is anomalous, and a description simply based on the conventional diffusion …

A theoretical perspective is provided on the glass transition in molecular liquids at thermal
equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials …

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 …

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 …

For centuries, physical imaging tools have been opening new frontiers in biology. The
discovery of the cell nucleus by Scottish botanist Robert Brown was made possible by early …

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 …