In this paper, we investigate the first-passage-time distribution (FPTD) within a time-
dependent parabolic potential in the presence of roughness with two methods: the Kramers …

Animal behavior is shaped by a myriad of mechanisms acting on a wide range of scales,
which hampers quantitative reasoning and the identification of general principles. Here, we …

A human pathogen, Neisseria gonorrhoeae (NG), moves on surfaces by attaching and
retracting polymeric structures called Type IV pili. The tug-of-war between the pili results in a …

Bacterial cells use run-and-tumble motion to climb up attractant concentration gradient in
their environment. By extending the uphill runs and shortening the downhill runs the cells …

In response to a concentration gradient of chemoattractant, E. coli bacterium modulates the
rotational bias of flagellar motors which control its run-and-tumble motion, to migrate towards …

We show how the competition between sensing and adaptation can result in a performance
peak in Escherichia coli chemotaxis using extensive numerical simulations in a detailed …

We study methylation dynamics of the chemoreceptors as an Escherichia coli cell moves
around in a spatially varying chemoattractant environment. We consider attractant …

We study a simple run-and-tumble random walk whose switching frequencies between run
mode and tumble mode depend on a stochastic signal. We consider a particularly sharp …

We consider the distribution of first passage time events in the presence of non-ergodic
modes that drive otherwise ergodic dynamics on a potential landscape. We find that in the …

After application of a step stimulus, in the form of a sudden change in attractant environment,
the receptor activity and tumbling bias of an E. coli cell change sharply to reach their …