On the origin and characteristics of noise-induced Lévy walks of E. coli.

Lévy walks as a random search strategy have recently attracted a lot of attention, and have been described in many animal species. However, very little is known about one of the most important issues, namely how Lévy walks are generated by biological organisms. We study a model of the chemotaxis sig...

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Main Authors: Franziska Matthäus, Mario S Mommer, Tine Curk, Jure Dobnikar
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2011-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3072995?pdf=render
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author Franziska Matthäus
Mario S Mommer
Tine Curk
Jure Dobnikar
author_facet Franziska Matthäus
Mario S Mommer
Tine Curk
Jure Dobnikar
author_sort Franziska Matthäus
collection DOAJ
description Lévy walks as a random search strategy have recently attracted a lot of attention, and have been described in many animal species. However, very little is known about one of the most important issues, namely how Lévy walks are generated by biological organisms. We study a model of the chemotaxis signaling pathway of E. coli, and demonstrate that stochastic fluctuations and the specific design of the signaling pathway in concert enable the generation of Lévy walks. We show that Lévy walks result from the superposition of an ensemble of exponential distributions, which occurs due to the shifts in the internal enzyme concentrations following the stochastic fluctuations. With our approach we derive the power-law analytically from a model of the chemotaxis signaling pathway, and obtain a power-law exponent μ ≈ 2.2, which coincides with experimental results. This work provides a means to confirm Lévy walks as natural phenomenon by providing understanding on the process through which they emerge. Furthermore, our results give novel insights into the design aspects of biological systems that are capable of translating additive noise on the microscopic scale into beneficial macroscopic behavior.
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spelling doaj.art-7be1a10cf2004fe89dff8430eef017eb2022-12-21T19:42:15ZengPublic Library of Science (PLoS)PLoS ONE1932-62032011-01-0164e1862310.1371/journal.pone.0018623On the origin and characteristics of noise-induced Lévy walks of E. coli.Franziska MatthäusMario S MommerTine CurkJure DobnikarLévy walks as a random search strategy have recently attracted a lot of attention, and have been described in many animal species. However, very little is known about one of the most important issues, namely how Lévy walks are generated by biological organisms. We study a model of the chemotaxis signaling pathway of E. coli, and demonstrate that stochastic fluctuations and the specific design of the signaling pathway in concert enable the generation of Lévy walks. We show that Lévy walks result from the superposition of an ensemble of exponential distributions, which occurs due to the shifts in the internal enzyme concentrations following the stochastic fluctuations. With our approach we derive the power-law analytically from a model of the chemotaxis signaling pathway, and obtain a power-law exponent μ ≈ 2.2, which coincides with experimental results. This work provides a means to confirm Lévy walks as natural phenomenon by providing understanding on the process through which they emerge. Furthermore, our results give novel insights into the design aspects of biological systems that are capable of translating additive noise on the microscopic scale into beneficial macroscopic behavior.http://europepmc.org/articles/PMC3072995?pdf=render
spellingShingle Franziska Matthäus
Mario S Mommer
Tine Curk
Jure Dobnikar
On the origin and characteristics of noise-induced Lévy walks of E. coli.
PLoS ONE
title On the origin and characteristics of noise-induced Lévy walks of E. coli.
title_full On the origin and characteristics of noise-induced Lévy walks of E. coli.
title_fullStr On the origin and characteristics of noise-induced Lévy walks of E. coli.
title_full_unstemmed On the origin and characteristics of noise-induced Lévy walks of E. coli.
title_short On the origin and characteristics of noise-induced Lévy walks of E. coli.
title_sort on the origin and characteristics of noise induced levy walks of e coli
url http://europepmc.org/articles/PMC3072995?pdf=render
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