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Non-Local Cell Adhesion Models = Symmetries and Bifurcations in 1-D /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Non-Local Cell Adhesion Models/ by Andreas Buttenschön, Thomas Hillen.
其他題名:	Symmetries and Bifurcations in 1-D /
作者:	Buttenschön, Andreas.
其他作者:	Hillen, Thomas.
面頁冊數:	VIII, 152 p. 35 illus., 15 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Modeling and Industrial Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-67111-2
ISBN:	9783030671112

Non-Local Cell Adhesion Models = Symmetries and Bifurcations in 1-D /
Buttenschön, Andreas.

Non-Local Cell Adhesion ModelsSymmetries and Bifurcations in 1-D /[electronic resource] :by Andreas Buttenschön, Thomas Hillen. - 1st ed. 2021. - VIII, 152 p. 35 illus., 15 illus. in color.online resource. - CMS/CAIMS Books in Mathematics,12730-6518 ;. - CMS/CAIMS Books in Mathematics,1.

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

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

669172
Mathematical Modeling and Industrial Mathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 570.285

Non-Local Cell Adhesion Models = Symmetries and Bifurcations in 1-D /
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