Non-Local Cell Adhesion Models

Symmetries and Bifurcations in 1-D

AvAndreas Buttenschön,Thomas Hillen

Inbunden, Engelska, 2021

Del 1 i serien CMS/CAIMS Books in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-06-10
Mått:155 x 235 x 15 mm
Vikt:412 g
Format:Inbunden
Språk:Engelska
Serie:CMS/CAIMS Books in Mathematics
Antal sidor:152
Upplaga:21001
Förlag:Springer Nature Switzerland AG
ISBN:9783030671105

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Recensioner i media

“Modelers who wish to use similar approaches in their modeling will find this a good source of base information, as well as a valuable guide for initiating similar analyses for their own models. Analysts wishing to expand our understanding … will find this book a fine building block. It could also prove a useful resource for graduate students looking for potential projects … . this monograph is an admirable attempt … and hopefully will inspire significant further study.” (Kevin Painter, SIAM Review, Vol. 64 (1), March, 2022)“The detailed analysis, as presented here, shows a stimulating interaction between model symmetries, mathematical analysis, and biological reality, which probably are inspired the authors and hopefully the readers of this book too.” (Andrey Zahariev, zbMATH 1473.92001, 2021)

Innehållsförteckning

Introduction.- Preliminaries.- The Periodic Problem.- Basic Properties.- Local Bifurcation.- Global Bifurcation.- Non-local Equations with Boundary Conditions.- No-flux Boundary Conditions.- Discussion and future directions.