Non-Local Cell Adhesion Models: Symmetries And Bifurcations In 1-D (Cms/Caims Books In Mathematics, 1) - 9783030671136

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.

• | Author: Andreas Buttenschön|Thomas Hillen
• | Publisher: Springer
• | Publication Date: Jun 24, 2022
• | Number of Pages: 160 pages
• | Language: English
• | Binding: Paperback/Mathematics
• | ISBN-10: 3030671135
• | ISBN-13: 9783030671136