Collective motion driven by nutrient consumption

Depletion force induced collective motion of microtubules driven by kinesin.

Collective motion is a fascinating example of coordinated behavior of self-propelled objects, which is often associated with the formation of large scale patterns. Nowadays, the in vitro gliding assay is being considered a model system to experimentally investigate various aspects of group behavior and pattern formation by self-propelled objects. In the in vitro gliding assay, cytoskeletal fila...

Elasticity-driven collective motion in active solids and active crystals

We introduce a simple model of self-propelled agents connected by linear springs, with no explicit alignment rules. Below a critical noise level, the agents self-organize into a collectively translating or rotating group. We derive analytical stability conditions for the translating state in an elastic sheet approximation. We propose an elasticity-based mechanism that drives convergence to coll...

Collective motion

We review the observations and the basic laws describing the essential aspects of collective motion — being one of the most common and spectacular manifestation of coordinated behavior. Our aim is to provide a balanced discussion of the various facets of this highly multidisciplinary field, including experiments, mathematical methods and models for simulations, so that readers with a variety of...

Phytoplankton dynamics driven by vertical nutrient fluxes

Introduction Conclusions References

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion