2012
DOI: 10.1103/physreve.85.021903
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Macroscopic model of self-propelled bacteria swarming with regular reversals

Abstract: Periodic reversals of the direction of motion in systems of self-propelled rod shaped bacteria enable them to effectively resolve traffic jams formed during swarming and maximize their swarming rate. In this paper, a connection is found between a microscopic one dimensional cell-based stochastic model of reversing non-overlapping bacteria and a macroscopic non-linear diffusion equation describing dynamics of the cellular density. Boltzmann-Matano analysis is used to determine the nonlinear diffusion equation c… Show more

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Cited by 12 publications
(11 citation statements)
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“…Previous hypotheses of the mechanistic basis for aggregation predicted that decreased cell movement inside aggregates was the major driver of aggregate growth (21,24,31,32,38). We tested the hypothesis that the observed decrease in cell movement at the higher cell densities inside aggregates is sufficient to drive aggregation by incorporating density dependence into the simulations.…”
Section: Resultsmentioning
confidence: 98%
“…Previous hypotheses of the mechanistic basis for aggregation predicted that decreased cell movement inside aggregates was the major driver of aggregate growth (21,24,31,32,38). We tested the hypothesis that the observed decrease in cell movement at the higher cell densities inside aggregates is sufficient to drive aggregation by incorporating density dependence into the simulations.…”
Section: Resultsmentioning
confidence: 98%
“…We also neglected a number of other complicated factors that affect the dynamics of real myxobacteria, such as C-signaling, the chemotactic effects of slime tracks and realistic direction-reversal dynamics of individual bacteria. (For details about nonlinear diffusion model of self-propelled rods reversing with specific frequency see [39].) We anticipate that these factors can be taken into consideration within our general modeling approach.…”
Section: Discussionmentioning
confidence: 99%
“…After collisions, the bacteria acquire nearly identical nematic orientation. This makes myxobacteria a very interesting model system to study the collective behavior of self-propelled rod-like particles (Gejji et al, 2012;Harvey et al, 2013Harvey et al, , 2011Peruani et al, 2012).…”
Section: Chlamydomonas Reinhardtiimentioning
confidence: 99%