Non-local cell adhesion models : symmetries and bifurcations in 1-D / Andreas Buttenschön, Thomas Hillen.
"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 nov...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
[2021]
|
| Series: | CMS/CAIMS books in mathematics.
|
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "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."--Publisher's website. |
|---|---|
| Physical Description: | 1 online resource (viii, 152 pages) : illustrations (some colour). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 3030671100 9783030671105 3030671119 9783030671112 |
| ISSN: | 2730-650X |