Skip to Main content Skip to Navigation
Journal articles

Generalized run-and-turn motions: From bacteria to Levy walks

Abstract : Swimming bacteria exhibit a repertoire of motility patterns, in which persistent motion is interrupted by turning events. What are the statistical properties of such random walks? If some particular instances have long been studied, the general case where turning times do not follow a Poisson process has remained unsolved. We present a generic extension of the continuous time random walks formalism relying on operators and noncommutative calculus. The approach is first applied to a unimodal model of bacterial motion. We examine the existence of a minimum in velocity correlation function and discuss the maximum of diffusivity at an optimal value of rotational diffusion. The model is then extended to bimodal patterns and includes as particular cases all swimming strategies: run-and-tumble, run-stop, run-reverse and run-reverse-flick. We characterize their velocity correlation functions and investigate how bimodality affects diffusivity. Finally, the wider applicability of the method is illustrated by considering curved trajectories and Lévy walks. Our results are relevant for intermittent motion of living beings, be they swimming micro-organisms or crawling cells.
Document type :
Journal articles
Complete list of metadata

https://hal-univ-lyon1.archives-ouvertes.fr/hal-02289280
Contributor : Depot 3 Lyon 1 <>
Submitted on : Monday, September 16, 2019 - 2:51:11 PM
Last modification on : Tuesday, May 11, 2021 - 9:54:30 AM

Identifiers

Collections

Citation

Francois Detcheverry. Generalized run-and-turn motions: From bacteria to Levy walks. Physical Review E , American Physical Society (APS), 2017, 96, pp.012415. ⟨10.1103/PhysRevE.96.012415⟩. ⟨hal-02289280⟩

Share

Metrics

Record views

51