Simons, J. E. and Milewski, P. A., 2011. The volcano effect in bacterial chemotaxis. Mathematical and Computer Modelling, 53 (7-8), pp. 1374-1388.
A population-level model of bacterial chemotaxis is derived from a simple bacterial-level model of behavior. This model, to be contrasted with the Keller–Segel equations, exhibits behavior we refer to as the “volcano effect”: steady-state bacterial aggregation forming a ring of higher density some distance away from an optimal environment. The model is derived, as in Erban and Othmer (2004)  R. Erban and H.G. Othmer, From individual to collective behavior in bacterial chemotaxis. SIAM J. Appl. Math, 65 (2004), pp. 361–391. Full Text via CrossRef, from a transport equation in a state space including the internal biochemical variables of the bacteria and then simplified with a truncation at low moments with respect to these variables. We compare the solutions of the model to stochastic simulations of many bacteria, as well as the classic Keller–Segel model. This model captures behavior that the Keller–Segel model is unable to resolve, and sheds light on two different mechanisms that can cause a volcano effect.
|Item Type ||Articles|
|Creators||Simons, J. E.and Milewski, P. A.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||VolcanoPaperSimonsMilewski.pdf: NOTICE: this is the author’s version of a work that was accepted for publication in Mathematical and Computer Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Simons, J. E. and Milewski, P. A., 2011. The volcano effect in bacterial chemotaxis. Mathematical and Computer Modelling, 53 (7-8), pp. 1374-1388. DOI: 10.1016/j.mcm.2010.01.019|
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