The Mathematical Institute, University of Oxford, Eprints Archive

Overview of mathematical approaches used to model bacterial chemotaxis II: bacterial populations

Tindall, M. J. and Porter, S. L. and Maini, P. K. and Gaglia, G. and Armitage, J. P. (2008) Overview of mathematical approaches used to model bacterial chemotaxis II: bacterial populations. Bulletin of Mathematical Biology, 70 (6). pp. 1570-1607.

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Abstract

We review the application of mathematical modeling to understanding the behavior of populations of chemotactic bacteria. The application of continuum mathematical models, in particular generalized Keller–Segel models, is discussed along with attempts to incorporate the microscale (individual) behavior on the macroscale, modeling the interaction between different species of bacteria, the interaction of bacteria with their environment, and methods used to obtain experimentally verified parameter values. We allude briefly to the role of modeling pattern formation in understanding collective behavior within bacterial populations. Various aspects of each model are discussed and areas for possible future research are postulated.

Item Type:Article
Additional Information:n/a
Uncontrolled Keywords:Bacterial chemotaxis - Population modeling - Multi-scale modeling - Review
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:727
Deposited By:Philip Maini
Deposited On:18 Aug 2008
Last Modified:17 Dec 2009 19:32

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