Non-Local Cell Adhesion Models
Produktnummer:
18cd97c1ca03ac45b4907c306e6873e81b
Autor: | Buttenschön, Andreas Hillen, Thomas |
---|---|
Themengebiete: | cell adhesion global bifurcation non-local boundary conditions non-local equation non-local partial differential equations symmetries |
Veröffentlichungsdatum: | 11.06.2022 |
EAN: | 9783030671136 |
Sprache: | Englisch |
Seitenzahl: | 152 |
Produktart: | Kartoniert / Broschiert |
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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