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Mathematical Ecology of Cancer Read chapter Read first chapter

2014 | OriginalPaper | Chapter

A Hybrid Model for E. coli Chemotaxis: From Signaling Pathway to Pattern Formation

Author : Franziska Matthäus

Published in: Managing Complexity, Reducing Perplexity

Publisher: Springer International Publishing

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Abstract

In this article a hybrid model for the chemotactic motion of E. coli is presented that captures a description of the internal signaling pathway as well as the interaction of the bacteria with the surrounding ligand. The hybrid nature of the model arises from the fact that discrete agents interact with and through an external chemoattractant that is described as a continuous variable. Motion of the bacteria is not restricted to the numerical grid on which the chemoattractant concentration is defined. Local production and uptake of ligand allow a study of the effects of internal signaling processes on pattern formation processes or on the fitness of populations in competition for a common nutrient source. This model provides a tool to connect individual-based models to continuous (PDE) descriptions for bacterial chemotaxis.

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Metadata
Title
A Hybrid Model for E. coli Chemotaxis: From Signaling Pathway to Pattern Formation
Author
Franziska Matthäus
Copyright Year
2014
Book
Managing Complexity, Reducing Perplexity

Print ISBN: 978-3-319-03758-5

Electronic ISBN: 978-3-319-03759-2

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-03759-2_4

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