Non-Local Cell Adhesion Models (Innbundet)

Symmetries and Bifurcations in 1-D

Serie: CMS/CAIMS Books in Mathematics 1



Forfatter: og
Innbinding: Innbundet
Utgivelsesår: 2021
Antall sider: 152
Forlag: Springer Nature Switzerland AG
Språk: Engelsk
Serienummer: 1
ISBN/EAN: 9783030671105
Kategori: Matematikk
Omtale Non-Local Cell Adhesion Models
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.

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