Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell

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...

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Main Authors: Tindall, M, Porter, S, Maini, P, Gaglia, G, Armitage, J
Format: Journal article
Language:English
Published: 2008
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author Tindall, M
Porter, S
Maini, P
Gaglia, G
Armitage, J
author_facet Tindall, M
Porter, S
Maini, P
Gaglia, G
Armitage, J
author_sort Tindall, M
collection OXFORD
description 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. © 2008 Society for Mathematical Biology.
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spelling oxford-uuid:473d6e07-9900-4993-bf4d-a931c9f61d102022-03-26T15:18:48ZOverview of mathematical approaches used to model bacterial chemotaxis I: The single cellJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:473d6e07-9900-4993-bf4d-a931c9f61d10EnglishSymplectic Elements at Oxford2008Tindall, MPorter, SMaini, PGaglia, GArmitage, JMathematical 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. © 2008 Society for Mathematical Biology.
spellingShingle Tindall, M
Porter, S
Maini, P
Gaglia, G
Armitage, J
Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell
title Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell
title_full Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell
title_fullStr Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell
title_full_unstemmed Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell
title_short Overview of mathematical approaches used to model bacterial chemotaxis I: The single cell
title_sort overview of mathematical approaches used to model bacterial chemotaxis i the single cell
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