Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

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 …

A growing number of biological, soft, and active matter systems are observed to exhibit
normal diffusive dynamics with a linear growth of the mean-squared displacement, yet with a …

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 …

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 …

Cells can enter into a dormant state when faced with unfavorable conditions. However, how
cells enter into and recover from this state is still poorly understood. Here, we study …

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 …

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 …

Dynamic biological measurements require low light levels to avoid damaging the specimen.
With this constraint on optical power, quantum noise fundamentally limits the measurement …