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Modeling a self-propelled autochemotactic walker

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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
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.