The statistics of steps and dwell times in reversible molecular motors differ from those of
cycle completion in enzyme kinetics. The reason is that a step is only one of several …

With subrecoil-laser-cooled atoms, one may reach nanokelvin temperatures while the
ergodic properties of these systems do not follow usual statistical laws. Instead, due to an …

The renewal process is a point process where an interevent time between successive
renewals is an independent and identically distributed random variable. Alternating renewal …

Multi-site enzymes, defined as where multiple substrate molecules can bind simultaneously
to the same enzyme molecule, play a key role in a number of biological networks, with the …

Motor enzymes are remarkable molecular machines that use the energy derived from the
hydrolysis of a nucleoside triphosphate to generate mechanical movement, achieved …

Driven diffusive systems are often used as simple discrete models of collective transport
phenomena in physics, biology or social sciences. Restricting attention to one-dimensional …

The velocity distribution of a classical gas of atoms in thermal equilibrium is the normal
Maxwell distribution. It is well known that for sub-recoiled laser cooled atoms, Lévy statistics …

Waiting time distributions are in the core of theories for a large variety of subjects ranging
from the analysis of patch clamp records to stochastic excitable systems. Here, we present a …

Renewal-reward processes are used to provide a framework for the mathematical
description of single-molecule bead-motor assays for processive motor proteins. The …

Intracellular transport phenomena, such as kinesins and myosins moving along cytoskeletal
filaments or ribosomes along messenger RNA, can be modeled by one-dimensional driven …