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Non-Local Cell Adhesion Models

Symmetries and Bifurcations in 1-D, CMS/CAIMS Books in Mathematics 1
ISBN/EAN: 9783030671136
Umbreit-Nr.: 5751011

Sprache: Englisch
Umfang: viii, 152 S., 20 s/w Illustr., 15 farbige Illustr.
Format in cm:
Einband: kartoniertes Buch

Erschienen am 11.06.2022
Auflage: 1/2021
€ 90,94
(inklusive MwSt.)
Lieferbar innerhalb 1 - 2 Wochen
  • Kurztext
    • 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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