Buttenschön / Hillen

Non-Local Cell Adhesion Models

Symmetries and Bifurcations in 1-D

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Standardpreis

90,94 €

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Fachbuch

Buch. Softcover

2022

viii, 152 S. 20 s/w-Abbildungen, 15 Farbabbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 978-3-030-67113-6

Format (B x L): 15,5 x 23,5 cm

Gewicht: 256 g

Das Werk ist Teil der Reihe: CMS/CAIMS Books in Mathematics; 1

Produktbeschreibung

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.