Produktbild: Non-Local Cell Adhesion Models

Non-Local Cell Adhesion Models

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Symmetries and Bifurcations in 1-D, CMS/CAIMS Books in Mathematics 1

ISBN: 3030671100
ISBN 13: 9783030671105
Autor: Buttenschön, Andreas/Hillen, Thomas
Verlag: Springer Verlag GmbH
Umfang: viii, 152 S., 20 s/w Illustr., 15 farbige Illustr., 152 p. 35 illus., 15 illus. in color.
Erscheinungsdatum: 10.06.2021
Auflage: 1/2021
Produktform: Gebunden/Hardback
Einband: Gebunden

This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.

Artikelnummer: 323233 Kategorie:

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