UID:
almahu_9949084055202882
Format:
VIII, 152 p. 35 illus., 15 illus. in color.
,
online resource.
Edition:
1st ed. 2021.
ISBN:
9783030671112
Series Statement:
CMS/CAIMS Books in Mathematics, 1
Content:
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.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030671105
Additional Edition:
Printed edition: ISBN 9783030671129
Additional Edition:
Printed edition: ISBN 9783030671136
Language:
English
DOI:
10.1007/978-3-030-67111-2
URL:
https://doi.org/10.1007/978-3-030-67111-2
