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[null,null,"Autore",null,"Buttenschön Andreas"]
[null,null,"Titolo",null,"Non-local cell adhesion models : symmetries and bifurcations in 1-D / / Andreas Buttenschön, Thomas Hillen"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2021]"]
[{"$nulls":4},"©2021"]
[null,null,"ISBN",null,"3-030-67111-9"]
[null,null,"Edizione",null,"[1st ed. 2021.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 152 p. 35 illus., 15 illus. in color.)"]
[null,null,"Collana",null,"CMS/CAIMS Books in Mathematics"]
[null,null,"Disciplina",null,"574.87"]
[null,null,"Soggetti",null,"Cell adhesion - Mathematical models"]
[{"$nulls":4},"Interacció cel·lular"]
[{"$nulls":4},"Models matemàtics"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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."]