株式会社極東書店トップ商品一覧Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D. 2021 ed.

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Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D. 2021 ed.

Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D. 2021 ed.

・ISBN 978-3-030-67113-6 paper EUR 84.99

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お気に入り
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2022
ページ数152 pp.
言語ENG
ニュース番号<A02-83172>

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.