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 …

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 …

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 …

Recent work on stochastic interacting particle systems with two particle species (or single-
species systems with kinematic constraints) has demonstrated the existence of spontaneous …

Totally asymmetric simple exclusion processes, consisting of two coupled parallel lattice
chains with particles interacting with hard-core exclusion and moving along the channels …

RNA polymerase (RNAP) is an enzyme that synthesizes a messenger RNA (mRNA) strand
which is complementary to a single-stranded DNA template. From the perspective of …