Non-Local Cell Adhesion Models

Andreas Buttenschön & Thomas Hillen

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

الدعم

غلاف Andreas Buttenschön & Thomas Hillen: Non-Local Cell Adhesion Models (PDF)

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

قائمة المحتويات

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.

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لغة الإنجليزية ● شكل PDF ● صفحات 152 ● ISBN 9783030671112 ● حجم الملف 3.7 MB ● الناشر Springer International Publishing ● مدينة Cham ● بلد CH ● نشرت 2021 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 7866181 ● حماية النسخ DRM الاجتماعية

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