Modeling a self-propelled autochemotactic walker

Taktikos J, Zaburdaev V, Stark H (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics American Physical Society (APS)

Book Volume: 84

Article Number: 041924

Journal Issue: 4

DOI: 10.1103/PhysRevE.84.041924

Abstract

We develop a minimal model for the stochastic dynamics of microorganisms where individuals communicate via autochemotaxis. This means that microorganisms, such as bacteria, amoebae, or cells, follow the gradient of a chemical that they produce themselves to attract or repel each other. A microorganism is represented as a self-propelled particle or walker with constant speed while its velocity direction diffuses on the unit circle. We study the autochemotactic response of a single self-propelled walker whose dynamics is non-Markovian. We show that its long-time dynamics is always diffusive by deriving analytic expressions for its diffusion coefficient in the weak- and strong-coupling case. We confirm our findings by numerical simulations. © 2011 American Physical Society.

Authors with CRIS profile

Vasily Zaburdaev

Involved external institutions

Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems DE Germany (DE)

How to cite

APA:

Taktikos, J., Zaburdaev, V., & Stark, H. (2011). Modeling a self-propelled autochemotactic walker. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 84(4). https://doi.org/10.1103/PhysRevE.84.041924

MLA:

Taktikos, Johannes, Vasily Zaburdaev, and Holger Stark. "Modeling a self-propelled autochemotactic walker." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 84.4 (2011).

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