Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations

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) behavi...

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Bibliographic Details
Published in:Bulletin of mathematical biology 2008-08, Vol.70 (6), p.1570-1607
Main Authors: Tindall, M. J., Maini, P. K., Porter, S. L., Armitage, J. P.
Format: Article
Language:English
Subjects:
Algorithms
Bacteria
Bacterial Physiological Phenomena
Biodiversity
Cell Biology
Chemotaxis - physiology
Ecosystem
Environment
Escherichia coli - growth & development
Escherichia coli - physiology
Life Sciences
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Models, Biological
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Summary: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.
ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-008-9322-5