Non-Local Cell Adhesion Models - Symmetries and Bifurcations in 1-D (Paperback, 1st ed. 2021)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	CMS/CAIMS Books in Mathematics, 1
Release date:	June 2022
First published:	2021
Authors:	Andreas Buttenschoen • Thomas Hillen
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Paperback
Pages:	152
Edition:	1st ed. 2021
ISBN-13:	978-3-03-067113-6
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	3-03-067113-5
Barcode:	9783030671136

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