Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D (CMS/CAIMS Books in Mathematics, 1)
Language: English
Published by Springer, 2021
- Hardcover
- New
Seller: Ria Christie Collections, Uxbridge, United KingdomRia Christie Collections
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In English.
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- Title
- Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D (CMS/CAIMS Books in Mathematics, 1)
- Author
- Buttenschön, Andreas; Hillen, Thomas
- Publisher
- Springer
- Publication year
- 2021
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3030671100
- ISBN 13
- 9783030671105
- Item weight
- 528 grams
- Series
- Book 2 of 6: CMS/CAIMS Books in Mathematics
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
Ria Christie Collections
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