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: Paperback / softback
Length: 152 pages
Publication date: 11 June 2022
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 providing 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 granted a profound understanding of cell adhesion at a fundamental level. This monograph serves as a valuable resource for researchers and scholars seeking to unravel the complexities of this vital biological process.

Weight: 264g
Dimension: 154 x 233 x 15 (mm)
ISBN-13: 9783030671136
Edition number: 1st ed. 2021