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Asymptotic properties of reaction-diffusion systems modeling chemotaxis

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Herrero, Miguel A. (2000) Asymptotic properties of reaction-diffusion systems modeling chemotaxis. In Applied and Industrial Mathematics, Venice—2, 1998. Springer, Dordrecht, pp. 89-108. ISBN 978-94-010-5823-0

Official URL: http://link.springer.com/book/10.1007/978-94-011-4193-2/page/1


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Abstract

This paper examines a system first introduced by Keller and Segel in 1970 to model the tendency of slime molds to move towards higher concentrations of a chemical which they themselves secrete. The paper particularly addresses the question of blow-up or chemotactic collapse, i.e., the formation of single point aggregations of the cells. Results are discussed for 2 and 3 space dimensions. Asymptotic computations yield information on the manner of the blow-up.


Item Type:Book Section
Additional Information:

Selected papers from the International Venice–2/Symposium held in Venice, June 11–16, 1998

Subjects:Medical sciences > Biology > Biomathematics
Sciences > Mathematics > Differential equations
ID Code:22637
Deposited On:27 Aug 2013 07:42
Last Modified:12 Dec 2018 15:07

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