A wide range of experimental systems including gliding, swarming and swimming bacteria,
in vitro motility assays, and shaken granular media are commonly described as self …

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 …

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

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 …

Explaining embryonic development of multicellular organisms requires insight into complex
interactions between genetic regulation and physical, generic mechanisms at multiple …

The myxobacteria are Gram-negative organisms that are capable of multicellular, social
behaviour. In the presence of nutrients, swarms of myxobacteria feed cooperatively by …

We discuss two different types of Cellular Automata (CA): lattice-gas-based cellular
automata (LGCA) and the cellular Potts model (CPM), and describe their applications in …

Microorganisms are able to overcome the thermal randomness of their surroundings by
harvesting energy to navigate in viscous fluid environments. In a similar manner, synthetic …

At high cell concentrations, bacterial suspensions are known to develop a state of collective
swimming (the “zooming bionematic phase,” or ZBN) characterized by transient, recurring …

Active Brownian motion with intermittent direction reversals is common in bacteria like
Myxococcus xanthus and Pseudomonas putida. We show that, for such a motion in two …