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 particle's motion in crowded environments often exhibits anomalous diffusion, whose
nature depends on the situation at hand and is formalized within different physical models …

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 …

Anomalous diffusion has been widely observed by single particle tracking microscopy in
complex systems such as biological cells. The resulting time series are usually evaluated in …

We investigate fractional Brownian motion with a microscopic random-matrix model and
introduce a fractional Langevin equation. We use the latter to study both subdiffusion and …

Single-molecule measurements provide unique information on heterogeneous populations
of molecules: They give access to the complete distribution of observables (rather than only …

Eukaryotic cells face the challenging task of transporting a variety of particles through the
complex intracellular milieu in order to deliver, distribute, and mix the many components that …

This paper studies a nonlinear Langevin equation involving two fractional orders α∈(0, 1]
and β∈(1, 2] with three-point boundary conditions. The contraction map** principle and …

The fluctuation of the distance between a fluorescein-tyrosine pair within a single protein
complex was directly monitored in real time by photoinduced electron transfer and found to …

This paper summarizes our present theoretical understanding of single-molecule kinetics
associated with the Michaelis− Menten mechanism of enzymatic reactions. Single-molecule …