The volcano effect in bacterial chemotaxis

Julie E Simons, Paul A Milewski

Research output: Contribution to journalArticle

9 Citations (Scopus)
54 Downloads (Pure)

Abstract

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) [1] 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[1], 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.
Original languageEnglish
Pages (from-to)1374-1388
Number of pages15
JournalMathematical and Computer Modelling
Volume53
Issue number7-8
DOIs
Publication statusPublished - 2011

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Volcanoes
Chemotaxis
Keller-Segel Model
Bacteria
Model
Collective Behavior
Stochastic Simulation
Transport Equation
Truncation
Resolve
Aggregation
State Space
Moment
Internal
Ring
Agglomeration

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The volcano effect in bacterial chemotaxis. / Simons, Julie E; Milewski, Paul A.

In: Mathematical and Computer Modelling, Vol. 53, No. 7-8, 2011, p. 1374-1388.

Research output: Contribution to journalArticle

Simons, Julie E ; Milewski, Paul A. / The volcano effect in bacterial chemotaxis. In: Mathematical and Computer Modelling. 2011 ; Vol. 53, No. 7-8. pp. 1374-1388.
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