Non-Local Cell Adhesion Models

Non-Local Cell Adhesion Models

by Andreas Buttenschön and Thomas Hillen
Epub (Kobo), Epub (Adobe)
Publication Date: 11/07/2021

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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.

ISBN:
9783030671112
9783030671112
Category:
Applied mathematics
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
11-07-2021
Language:
English
Publisher:
Springer International Publishing

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