Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D

This monograph explores the mathematical modeling of cellular adhesion, focusing on non-local adhesion models and their analysis using global bifurcation results, equivariant bifurcation theory, and symmetries of the non-local term. It provides a systematic approach to understanding cell adhesion on a deep level.

Format: Hardback
Length: 152 pages
Publication date: 10 June 2021
Publisher: Springer Nature Switzerland AG

This comprehensive monograph delves into the intricate realm of mathematical modeling of cellular adhesion, a fundamental force in cell biology. While rooted in the biological context of cell adhesion and tissue formation, this monograph specifically concentrates on the mathematical analysis of non-local adhesion models. What sets this work apart is its innovative incorporation of the non-local term, an integral operator that captures the forces generated by long-range cell interactions. The study of non-local models has emerged as a thriving field of applied mathematics in recent years, and this monograph makes a significant contribution by offering a systematic analysis of steady states and their bifurcation structure. By amalgamating global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term, readers are provided with powerful tools to delve into the complexities of cell adhesion on a profound level. This monograph is a valuable resource for researchers, scholars, and students in the fields of mathematics, biology, and biomedical engineering, as it sheds light on the intricate dynamics and mechanisms underlying cellular adhesion processes.

Weight: 454g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030671105
Edition number: 1st ed. 2021