Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

A huge number of bacterial species are motile by flagella, which allow them to actively move
toward favorable environments and away from hazardous areas and to conquer new …

Living systems operate far from thermal equilibrium by converting the chemical potential of
ATP into mechanical work to achieve growth, replication, or locomotion. Given time series …

Bacteria employ diverse motility patterns in traversing complex three-dimensional (3D)
natural habitats. 2D microscopy misses crucial features of 3D behaviour, but the applicability …

Highlights•Different flagellar architectures enable different motility behaviors.•Strategies for
swimming and turning vary.•Flagella can push, pull, flick, and swing, roll, or wrap around the …

We study a set of run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the
first case of the orientation θ of the particle can assume a set of n possible discrete values …

Motivated by various recent experimental findings, we propose a dynamical model of
intermittently self-propelled particles: active particles that recurrently switch between two …

Attachment is a necessary first step in bacterial commitment to surface-associated behaviors
that include colonization, biofilm formation, and host-directed virulence. The Gram-negative …

We propose a new overarching model for self-propelled particles that flexibly generates a
full family of “descendants.” The general dynamics introduced in this paper, which we …

Most bacteria at certain stages of their life cycle are able to move actively; they can swim in a
liquid or crawl on various surfaces. A typical path of the moving cell often resembles the …