We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

This introductory graduate text is based on a graduate course the author has taught
repeatedly over the last ten years to students in applied mathematics, engineering sciences …

We have recorded the swarming-like collective migration of a large number of keratocytes
(tissue cells obtained from the scales of goldfish) using long-term videomicroscopy. By …

Motivated by aggregation phenomena in gliding bacteria, we study collective motion in a two-
dimensional model of active, self-propelled rods interacting through volume exclusion. In …

We study a class of swarming problems wherein particles evolve dynamically via pairwise
interaction potentials and a velocity selection mechanism. We find that the swarming system …

In flocking, a swarm of robots moves cohesively in a common direction. Traditionally,
flocking is realized using two main control rules: proximal control, which controls the …

Recent studies suggest that noncooperative behavior such as cannibalism may be a driving
mechanism of collective motion. Motivated by these novel results we introduce a simple …

Recently, the steady sedimentation profile of a dilute suspension of chemically powered
colloids was studied experimentally [J. Palacci, Phys. Rev. Lett. 105, 088304 (2010) …

Many animal groups, for example schools of fish or flocks of birds, exhibit complex dynamic
patterns while moving cohesively in the same direction. These flocking patterns have been …

We construct an individual-based kinematic model of rolling migratory locust swarms. The
model incorporates social interactions, gravity, wind, and the effect of the impenetrable …