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.
| Autorius: | Thomas Hillen, Andreas Buttenschön, |
| Serija: | CMS/CAIMS Books in Mathematics |
| Leidėjas: | Springer Nature Switzerland |
| Išleidimo metai: | 2022 |
| Knygos puslapių skaičius: | 160 |
| ISBN-10: | 3030671135 |
| ISBN-13: | 9783030671136 |
| Formatas: | 235 x 155 x 9 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Non-Local Cell Adhesion Models: Symmetries and Bifurcations in 1-D“
