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Non-Local Cell Adhesion Models : Symmetries and Bifurcations in 1-D / by Andreas Buttenschön, Thomas Hillen
(CMS/CAIMS Books in Mathematics. ISSN:27306518 ; 1)
版 | 1st ed. 2021. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2021 |
本文言語 | 英語 |
大きさ | VIII, 152 p. 35 illus., 15 illus. in color : online resource |
著者標目 | *Buttenschön, Andreas author Hillen, Thomas author SpringerLink (Online service) |
件 名 | LCSH:Biomathematics LCSH:Mathematical models FREE:Mathematical and Computational Biology FREE:Mathematical Modeling and Industrial Mathematics |
一般注記 | Introduction -- Preliminaries -- The Periodic Problem -- Basic Properties -- Local Bifurcation -- Global Bifurcation -- Non-local Equations with Boundary Conditions -- No-flux Boundary Conditions -- Discussion and future directions 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 HTTP:URL=https://doi.org/10.1007/978-3-030-67111-2 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030671112 |
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EB00238635 |
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データ種別 | 電子ブック |
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分 類 | LCC:QH323.5 LCC:QH324.2-324.25 DC23:570.285 |
書誌ID | 4000140894 |
ISBN | 9783030671112 |