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商品詳細
Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D. 2021 ed.
・ISBN 978-3-030-67110-5 hard EUR 119.99
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| 著者・編者 | Buttenschoen, Andreas / Hillen, Thomas, |
|---|---|
| シリーズ | (CMS/CAIMS Books in Mathematics) |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2021 |
| ページ数 | 152 pp. |
| 言語 | ENG |
| ニュース番号 | <A02-85228> |
解説
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.