Artículos relacionados a Non-Local Cell Adhesion Models: Symmetries and Bifurcations...

Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D (CMS/CAIMS Books in Mathematics, 1) - Tapa dura

Libro 2 de 6: CMS/CAIMS Books in Mathematics

Buttenschön, Andreas; Hillen, Thomas

 
9783030671105: Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D (CMS/CAIMS Books in Mathematics, 1)

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.