Non-Local Cell Adhesion Models
Author | : Andreas Buttenschön |
Publisher | : Springer Nature |
Total Pages | : 154 |
Release | : 2021-06-09 |
ISBN-10 | : 9783030671112 |
ISBN-13 | : 3030671119 |
Rating | : 4/5 (119 Downloads) |
Download or read book Non-Local Cell Adhesion Models written by Andreas Buttenschön and published by Springer Nature. This book was released on 2021-06-09 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.