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Swarming bacteria migrate by Lévy Walk

TLDR
By tracking trajectories of fluorescently labelled individuals within such dense swarms, it is found that the bacteria are performing super-diffusion, consistent with Lévy walks.
Abstract
Levy walks have been found in the motion of large animals such as birds and fish in search of sparsely and randomly distributed food. Here, Ariel et al. observe, by tracking long-duration trajectories of fluorescently labelled bacteria, similar walks in bacterial swarms for the first time.

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Journal Article

Collective motion and density fluctuations in bacterial colonies

TL;DR: In this paper, the authors report simultaneous measurements of the positions, velocities, and orientations of up to a thousand wild-type Bacillus subtilis bacteria in a colony.
Journal ArticleDOI

A statistical physics view of swarming bacteria.

TL;DR: This review presents a physical point of view of swarming bacteria, with an emphasis on the statistical properties of the swarm dynamics as observed in experiments, and suggests a paradigm according to which bacteria have optimized some of their physical properties as a strategy for rapid surface translocation.
Journal ArticleDOI

Neuronal messenger ribonucleoprotein transport follows an aging Lévy walk.

TL;DR: Experimental and theoretical evidence is reported that the active transport dynamics of neuronal mRNPs, which is distinct from the previously reported motor-driven transport, follows an aging Lévy walk, and a predictive theoretical model for neuronal mRNP transport is provided.
Journal ArticleDOI

Current status and future directions of Lévy walk research.

TL;DR: Movement patterns resembling Lévy walks are found in a wide variety of organisms, from cells to humans, and in the latest research into their origins and biological significance is discussed.
Journal ArticleDOI

Learning the space-time phase diagram of bacterial swarm expansion.

TL;DR: This work combines a high-throughput adaptive microscopy approach with machine learning, to identify key biological and physical mechanisms that determine distinct microscopic and macroscopic collective behavior phases which develop as Bacillus subtilis swarms expand over five orders of magnitude in space.
References
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Journal ArticleDOI

Power-Law Distributions in Empirical Data

TL;DR: This work proposes a principled statistical framework for discerning and quantifying power-law behavior in empirical data by combining maximum-likelihood fitting methods with goodness-of-fit tests based on the Kolmogorov-Smirnov (KS) statistic and likelihood ratios.
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Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications

TL;DR: In this article, the authors consider the specific effects of a bias on anomalous diffusion, and discuss the generalizations of Einstein's relation in the presence of disorder, and illustrate the theoretical models by describing many physical situations where anomalous (non-Brownian) diffusion laws have been observed or could be observed.
Journal ArticleDOI

Optimizing the success of random searches

TL;DR: It is shown that, when the target sites are sparse and can be visited any number of times, an inverse square power-law distribution of flight lengths, corresponding to Lévy flight motion, is an optimal strategy.
Journal ArticleDOI

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking.

TL;DR: This Perspective is intended as a guidebook for both experimentalists and theorists working on systems, which exhibit anomalous diffusion, and pays special attention to the ergodicity breaking parameters for the different anomalous stochastic processes.
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