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.
Andreas Buttenschön & Thomas Hillen
Non-Local Cell Adhesion Models
Symmetries and Bifurcations in 1-D
Non-Local Cell Adhesion Models
Symmetries and Bifurcations in 1-D
Bahasa Inggris ● Format PDF ● Halaman 152 ● ISBN 9783030671112 ● Ukuran file 3.7 MB ● Penerbit Springer International Publishing ● Kota Cham ● Negara CH ● Diterbitkan 2021 ● Diunduh 24 bulan ● Mata uang EUR ● ID 7866181 ● Perlindungan salinan DRM sosial