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About Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D
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.
Detailed Information
| Author: | Andreas Buttenschön, Thomas Hillen |
|---|---|
| Publication Year: | 2022 |
| ISBN: | 3030671135 |
| Pages: | 154 |
| Language: | other |
| File Size: | 3.4661 |
| Format: | |
| Price: | FREE |
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