Non-Local Cell Adhesion Models

Symmetries and Bifurcations in 1-D

von Andreas Buttenschön, Thomas Hillen

152 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: CMS/CAIMS Books in Mathematics
• Themen: Mathematik und Naturwissenschaften Biologie, Biowissenschaften Biowissenschaften, allgemein DV-gestützte Biologie/Bioinformatik
• ISBN: 9783030671136
• Sprache: Englisch
• Erscheinungsdatum: 11.06.2022
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing