| Description |
1 online resource : illustrations (some color) |
| Series |
CMS/CAIMS books in mathematics, 2730-650X |
|
CMS/CAIMS books in mathematics. 2730-650X
|
| Contents |
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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed June 23, 2021) |
| Subject |
Cell adhesion -- Mathematical models
|
| Form |
Electronic book
|
| Author |
Hillen, Thomas, 1966- author.
|
| ISBN |
9783030671112 |
|
3030671119 |
|
