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 …

We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other things) …

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 …

Unlike equilibrium statistical mechanics, with its well-established foundations, a similar
widely accepted framework for non-equilibrium statistical mechanics (NESM) remains …

A molecular motor is made of either a single macromolecule or a macromolecular complex.
Just like their macroscopic counterparts, molecular motors “transduce” input energy into …

Traffic-like collective movements are observed at almost all levels of biological systems.
Molecular motor proteins like, for example, kinesin and dynein, which are the vehicles of …

We discuss a class of driven lattice gas obtained by coupling the one-dimensional totally
asymmetric simple exclusion process to Langmuir kinetics. In the limit where these dynamics …

Cells are the elementary units of living organisms, which are able to carry out many vital
functions. These functions rely on active processes on a microscopic scale. Therefore, they …

Motivated by experiments on single-headed kinesin KIF1A, we develop a model of
intracellular transport by interacting molecular motors. It captures explicitly not only the …

One of the main features of statistical systems out of equilibrium is the currents they exhibit in
their stationary state: microscopic currents of probability between configurations, which …