Active matter, which ranges from molecular motors to groups of animals, exists at different
length scales and timescales, and various computational models have been proposed to …

Microbiology is the science of microbes, particularly bacteria. Many bacteria are motile: they
are capable of self-propulsion. Among these, a significant class execute so-called run-and …

Activity and autonomous motion are fundamental in living and engineering systems. This
has stimulated the new field of'active matter'in recent years, which focuses on the physical …

We examine a minimal model for an active colloidal fluid in the form of self-propelled
Brownian spheres that interact purely through excluded volume. Despite the absence of an …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

Switching on high activity in a relatively dense system of active Janus colloids, we observe
fast clustering, followed by cluster aggregation towards full phase separation. The phase …

We study the behavior of interacting self-propelled particles, whose self-propulsion speed
decreases with their local density. By combining direct simulations of the microscopic model …

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-
propelled particles confined in a convex box in two dimensions. We find that when the size …

Combining model experiments and theory, we investigate the dense phases of polar active
matter beyond the conventional flocking picture. We show that above a critical density flocks …

We study mixtures of self-propelled and passive rod-like particles in two dimensions using
Brownian dynamics simulations. The simulations demonstrate that the two species …