Non-Local Cell Adhesion Models:Symmetries and Bifurcations in 1-D(CMS/CAIMS Books in Mathematics)

非局部细胞粘附模型:一维的对称性与分叉

数学史

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作      者
出  版 社
出版时间
2021年05月19日
装      帧
精装
ISBN
9783030671105
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页      码
140
语      种
英文
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图书简介
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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