The growing interest for comparing protein internal dynamics owes much to the realisation
that protein function can be accompanied or assisted by structural fluctuations and …

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 …

A goal in the kinetic characterization of a macromolecular system is the description of its
slow relaxation processes via (i) identification of the structural changes involved in these …

Markov state models of molecular kinetics (MSMs), in which the long-time statistical
dynamics of a molecule is approximated by a Markov chain on a discrete partition of …

Enzymes are biological catalysts vital to life processes and have attracted century-long
investigation. The classic Michaelis-Menten mechanism provides a highly satisfactory …

We review insights from computational studies of affinities of ligands binding to proteins. The
power of structural biology is in translating knowledge of protein structures into insights …

This book explains the quantitative reasoning required by the fractional calculus applied to
complex physical, social, and biological phenomena. Fractional calculus is inextricably …

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 …

Fractional Brownian motion with Hurst index less then 1/2 and continuous-time random walk
with heavy tailed waiting times (and the corresponding fractional Fokker-Planck equation) …