Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1995-02-24
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, REVTeX with 4 postscript figures (uuencoded) Figures 1a and 1b are available from the authors; paper submitted to PRL
Scientific paper
10.1103/PhysRevLett.75.1859
We study the formation of spot patterns seen in a variety of bacterial species when the bacteria are subjected to oxidative stress due to hazardous byproducts of respiration. Our approach consists of coupling the cell density field to a chemoattractant concentration as well as to nutrient and waste fields. The latter serves as a triggering field for emission of chemoattractant. Important elements in the proposed model include the propagation of a front of motile bacteria radially outward form an initial site, a Turing instability of the uniformly dense state and a reduction of motility for cells sufficiently far behind the front. The wide variety of patterns seen in the experiments is explained as being due the variation of the details of the initiation of the chemoattractant emission as well as the transition to a non-motile phase.
Aranson Igor
Ben-Jacob Eshel
Cohen Inon
Levine Herbert
Shochet Ofer
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