ENGLISH

Non-Local Cell Adhesion Models: Steady States and Bifurcations

By Andreas Buttenschoen; Thomas Hillen

Book information

Publisher
Springer
Year
2021
ISBN
3030671100, 9783030671105
Language
english
Format
7Z
Filesize
12 MB (12457303 bytes)
Edition
1
Pages
152\0
Time added
2021-06-10 14:37:43

Description

This monograph considers modeling applications for cellular adhesion, illustrating a key interaction in cell biology. Despite active research and mathematical analysis of non-local models, there is a current lack of scholarship pertaining to the theory of steady states and pattern formation. This book therefore aims to contribute to the analysis of steady states and their bifurcation structure, which reflects the patterns observed in nature and in biological tissues. Combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the mathematical properties of the non-local term, this book ultimately presents a detailed and novel analysis of non-local adhesion and boundary conditions.

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