Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis I: The Single Cell |
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Authors: | M J Tindall S L Porter P K Maini G Gaglia J P Armitage |
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Institution: | (1) Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles’, Oxford, OX1 3LB, UK;(2) Department of Biochemistry, Microbiology Unit, University of Oxford, South Parks Road, Oxford, OX1 3QU, UK;(3) Oxford Centre for Integrative Systems Biology, Department of Biochemistry, University of Oxford, South Parks Road, Oxford, OX1 3QU, UK |
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Abstract: | Mathematical modeling of bacterial chemotaxis systems has been influential and insightful in helping to understand experimental
observations. We provide here a comprehensive overview of the range of mathematical approaches used for modeling, within a
single bacterium, chemotactic processes caused by changes to external gradients in its environment. Specific areas of the
bacterial system which have been studied and modeled are discussed in detail, including the modeling of adaptation in response
to attractant gradients, the intracellular phosphorylation cascade, membrane receptor clustering, and spatial modeling of
intracellular protein signal transduction. The importance of producing robust models that address adaptation, gain, and sensitivity
are also discussed. This review highlights that while mathematical modeling has aided in understanding bacterial chemotaxis
on the individual cell scale and guiding experimental design, no single model succeeds in robustly describing all of the basic
elements of the cell. We conclude by discussing the importance of this and the future of modeling in this area. |
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Keywords: | Bacterial chemotaxis Single cell Review |
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