Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Modeling a self-propelled autochemotactic walker

There are no MPG-Authors available
External Resource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

Taktikos, J., Zaburdaev, V., & Stark, H. (2011). Modeling a self-propelled autochemotactic walker. Physical Review E, 84(4): 041924. doi:10.1103/PhysRevE.84.041924.

Cite as: http://hdl.handle.net/21.11116/0000-0008-6158-8
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.