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.
Produkteigenschaften
- Artikelnummer: 9783030671105
- Medium: Buch
- ISBN: 978-3-030-67110-5
- Verlag: Springer International Publishing
- Erscheinungstermin: 10.06.2021
- Sprache(n): Englisch
- Auflage: 1. Auflage 2021
- Serie: CMS/CAIMS Books in Mathematics
- Produktform: Gebunden, HC runder Rücken kaschiert
- Gewicht: 412 g
- Seiten: 152
- Format (B x H x T): 160 x 241 x 15 mm
- Ausgabetyp: Kein, Unbekannt