CMS/CAIMS Books in Mathematics
cover

Non-Local Cell Adhesion Models

Symmetries and Bifurcations in 1-D

Authors: Buttenschoen, Andreas, Hillen, Thomas

  • Presents the first ever application of abstract bifurcation theory to a non-local problem
  • Includes leading research on pattern formation of non-local models
  • Describes in detail the development of basic properties of nonlocal adhesion models
  • Defines biological non-local boundary conditions
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eBook 85,59 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: July 24, 2021
  • ISBN 978-3-030-67111-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
  • Due: July 24, 2021
  • ISBN 978-3-030-67110-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Buy this book

eBook 85,59 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: July 24, 2021
  • ISBN 978-3-030-67111-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
  • Due: July 24, 2021
  • ISBN 978-3-030-67110-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Non-Local Cell Adhesion Models
Book Subtitle
Symmetries and Bifurcations in 1-D
Authors
Series Title
CMS/CAIMS Books in Mathematics
Series Volume
1
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-67111-2
DOI
10.1007/978-3-030-67111-2
Hardcover ISBN
978-3-030-67110-5
Series ISSN
2730-650X
Edition Number
1
Number of Pages
VIII, 154
Number of Illustrations
20 b/w illustrations, 15 illustrations in colour
Topics