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Non-local cell adhesion modelssymmet...

Buttenschon, Andreas.

Non-local cell adhesion modelssymmetries and bifurcations in 1-D /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Non-local cell adhesion modelsby Andreas Buttenschon, Thomas Hillen.
Reminder of title:	symmetries and bifurcations in 1-D /
Author:	Buttenschon, Andreas.
other author:	Hillen, Thomas.
Published:	Cham :Springer International Publishing :2021.
Description:	viii, 152 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Cell adhesionMathematical models.
Online resource:	https://doi.org/10.1007/978-3-030-67111-2
ISBN:	9783030671112$q(electronic bk.)

Non-local cell adhesion modelssymmetries and bifurcations in 1-D /
Buttenschon, Andreas.

Non-local cell adhesion modelssymmetries and bifurcations in 1-D /[electronic resource] :by Andreas Buttenschon, Thomas Hillen. - Cham :Springer International Publishing :2021. - viii, 152 p. :ill. (some col.), digital ;24 cm. - CMS/CAIMS books in mathematics,2730-650X. - CMS/CAIMS books in mathematics..

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.

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.

ISBN: 9783030671112$q(electronic bk.)

Standard No.: 10.1007/978-3-030-67111-2doiSubjects--Topical Terms:

898206
Cell adhesion
--Mathematical models.

LC Class. No.: QH623 / .B88 2021

Dewey Class. No.: 571.6015118

Non-local cell adhesion modelssymmetries and bifurcations in 1-D /
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505 0 $a 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.
520 $a 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.
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