Non-Local Cell Adhesion Models
Buttenschön, Andreas, Hillen, Thomas
Produktnummer:
1876f229599ae645ccb121bf31d0883b70
| Autor: | Buttenschön, Andreas Hillen, Thomas |
|---|---|
| Themengebiete: | cell adhesion global bifurcation non-local boundary conditions non-local equation non-local partial differential equations symmetries |
| Veröffentlichungsdatum: | 10.06.2021 |
| EAN: | 9783030671105 |
| Sprache: | Englisch |
| Seitenzahl: | 152 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
| Untertitel: | Symmetries and Bifurcations in 1-D |
Produktinformationen "Non-Local Cell Adhesion Models"
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.
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