NONLOCAL CELL ADHESION MODELS di ANDREAS BUTTENSCH N edito da SPRINGER (APRESS)
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NONLOCAL CELL ADHESION MODELS

Symmetries And Bifurcations In 1-D

EAN:

9783030671136

ISBN:

3030671135

Pagine:
152
Formato:
Paperback
Lingua:
Tedesco
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Descrizione NONLOCAL CELL ADHESION MODELS

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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