书目名称 | Non-Local Cell Adhesion Models |
副标题 | Symmetries and Bifur |
编辑 | Andreas Buttenschön,Thomas Hillen |
视频video | |
概述 | Presents the first ever application of abstract bifurcation theory to a non-local problem.Includes leading research on pattern formation of non-local models.Describes in detail the development of basi |
丛书名称 | CMS/CAIMS Books in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2021 |
关键词 | non-local equation; cell adhesion; symmetries; global bifurcation; non-local boundary conditions; non-loc |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-67111-2 |
isbn_softcover | 978-3-030-67113-6 |
isbn_ebook | 978-3-030-67111-2Series ISSN 2730-650X Series E-ISSN 2730-6518 |
issn_series | 2730-650X |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |