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Andreas Buttenschön & Thomas Hillen 
Non-Local Cell Adhesion Models 
Symmetries and Bifurcations in 1-D

Ondersteuning

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.


€90.94
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Inhoudsopgave

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.
Taal Engels ● Formaat PDF ● Pagina’s 152 ● ISBN 9783030671112 ● Bestandsgrootte 3.7 MB ● Uitgeverij Springer International Publishing ● Stad Cham ● Land CH ● Gepubliceerd 2021 ● Downloadbare 24 maanden ● Valuta EUR ● ID 7866181 ● Kopieerbeveiliging Sociale DRM

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