Go to main content
Non-local cell adhesion models : symmetries and bifurcations in 1-D / Andreas Buttenschön, Thomas Hillen.
Buttenschön, Andreas, author.; Hillen, Thomas, 1966- author.
2021
QH623 .B88 2021
Available Online
Formats
Add to Basket
Format
BibTeX
MARCXML
TextMARC
MARC
DublinCore
EndNote
NLM
RefWorks
RIS

Linked e-resources

Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks

Details

Title
Non-local cell adhesion models : symmetries and bifurcations in 1-D / Andreas Buttenschön, Thomas Hillen.
Author
Buttenschön, Andreas, author.
ISBN
9783030671112 (electronic bk.)
3030671119 (electronic bk.)
9783030671105
3030671100
DOI
https://doi.org/10.1007/978-3-030-67111-2
Published
Cham : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource : illustrations (some color)
Item Number
10.1007/978-3-030-67111-2 doi
Call Number
QH623 .B88 2021
Dewey Decimal Classification
571.601/5118
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, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 23, 2021).
Added Author
Hillen, Thomas, 1966- author.
Series
CMS/CAIMS books in mathematics. 2730-650X
Available in Other Form
Print version: 9783030671105
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
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.

Browse Subjects

Statistics

from
to
Export