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Physica D 234 (2007) 9097 www.elsevier.com/locate/physd

Summary: Physica D 234 (2007) 90­97
An (almost) solvable model for bacterial pattern formation
B. Grammaticos, M. Badoual, M. Aubert
IMNC, Universit´e Paris VII-Paris XI, CNRS, UMR 8165, B^at. 104, 91406 Orsay, France
Received 22 January 2007; received in revised form 2 July 2007; accepted 4 July 2007
Available online 13 July 2007
Communicated by H. Levine
We present a simple model for the description of ring-like concentric structures in bacterial colonies. We model the differences between
Bacillus subtilis and Proteus mirabilis colonies by using a different dependence of the duration of the consolidation phase on the concentration of
agar. We compare our results to experimental data from these two bacterial species colonies and obtain a good agreement. Based on this analysis,
we formulate a hypothesis on the connection of the diffusion constant that appears in the model to the experimental agar concentration.
c 2007 Elsevier B.V. All rights reserved.
Keywords: Bacterial colonies; Pattern formation; Ring-like structures; Migration­consolidation
1. Introduction
The study of pattern formation in bacterial colonies is of
particular interest both from the biological and physical points
of view (for a review see [15]). Since patterns are ubiquitous
in biological systems, the study of very simple biological


Source: Aubert, Marine - Department of Mathematics, University of Dundee


Collections: Mathematics