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Non-local cell adhesion models : symmetries and bifurcations in 1-D / Andreas Buttenschön, Thomas Hillen.

9783030671112 (electronic bk.)
3030671119 (electronic bk.)
9783030671105
3030671100

Cham : Springer, [2021]

©2021

English

1 online resource : illustrations (some color)

10.1007/978-3-030-67111-2 doi

QH623 .B88 2021

571.601/5118

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed June 23, 2021).

CMS/CAIMS books in mathematics. 2730-650X

Print version: 9783030671105

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