๐”– Bobbio Scriptorium
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Beyond the Keller-Segel model

โœ Scribed by P. Romanczuk; U. Erdmann; H. Engel; L. Schimansky-Geier


Book ID
111633483
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
533 KB
Volume
157
Category
Article
ISSN
1951-6355

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๐Ÿ“œ SIMILAR VOLUMES


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We study initial integrable perturbations of uniform solutions of the Keller-Segel model. We found a stability criterion which depends on the difference between the coefficient of random motion of attractant molecules and the motility coefficient. (~) 2004 Elsevier Ltd. All rights reserved.

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We introduce stochastic models of chemotaxis generalizing the deterministic Keller-Segel model. These models include fluctuations which are important in systems with small particle numbers or close to a critical point. Following Dean's approach, we derive the exact kinetic equation satisfied by the