Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D - Couverture souple

Buttenschön, Andreas; Hillen, Thomas

Couverture souple

ISBN 10 : 3030671135 ISBN 13 : 9783030671136

Editeur : Springer, 2022

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 3030671135
• ISBN 13: 9783030671136
• Reliure: Broché
• Nombre de pages: 160
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne