Non-local cell adhesion models : symmetries and bifurcations in 1-D / / Andreas Buttenschön, Thomas Hillen

• Autore: Buttenschön Andreas
• Pubblicazione: Cham, Switzerland : , : Springer, , [2021]; ©2021
• Edizione: 1st ed. 2021.
• Descrizione fisica: 1 online resource (VIII, 152 p. 35 illus., 15 illus. in color.)
• Disciplina: 574.87
• Soggetto topico: Cell adhesion - Mathematical models; Interacció cel·lular; Models matemàtics
• Soggetto genere / forma: Llibres electrònics
• Persona (resp. second.): HillenThomas
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Non-Local Cell Adhesion Models
• ISBN: 3-030-67111-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466400403316
• Lo trovi qui: Univ. di Salerno
• Serie: CMS/CAIMS books in mathematics.