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 …

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined
with unbiased external input signals, deterministic and random alike, can assist directed …

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 …

Biomolecular machines are protein complexes that convert between different forms of free
energy. They are utilized in nature to accomplish many cellular tasks. As isothermal …

We provide an analytical solution for the time-dependent Fokker-Planck equation for a two-
dimensional active Brownian particle trapped in an isotropic harmonic potential. Using the …

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 …

A general network theory for the molecular motor kinesin is developed that is based on the
distinct chemical states of the motor and on recent observations about its mechanical steps …

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 …

The interior of a living cell is an active, fluctuating, and crowded environment, yet it maintains
a high level of coherent organization. This dichotomy is readily apparent in the intracellular …

A motility mechanism based on a simple exclusion process, where the movement of discrete
agents on a lattice is either unbiased (symmetric) or biased (asymmetric) is considered …