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010   $a3-030-67111-9
024 7 $a10.1007/978-3-030-67111-2
035   $a(CKB)4100000011954025
035   $a(DE-He213)978-3-030-67111-2
035   $a(MiAaPQ)EBC6640050
035   $a(Au-PeEL)EBL6640050
035   $a(OCoLC)1256541830
035   $a(PPN)258876735
035   $a(EXLCZ)994100000011954025
100   $a20220202d2021      uy             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNon-local cell adhesion models $esymmetries and bifurcations in 1-D /$fAndreas Buttenscho?n, Thomas Hillen
205   $a1st ed. 2021.
210  1$aCham, Switzerland :$cSpringer,$d[2021]
210  4$d©2021
215   $a1 online resource (VIII, 152 p. 35 illus., 15 illus. in color.)
225 1 $aCMS/CAIMS Books in Mathematics
311   $a3-030-67110-0 
327   $aIntroduction -- Preliminaries -- The Periodic Problem -- Basic Properties -- Local Bifurcation -- Global Bifurcation -- Non-local Equations with Boundary Conditions -- No-flux Boundary Conditions -- Discussion and future directions.
330   $aThis monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.
410  0$aCMS/CAIMS books in mathematics.
606   $aCell adhesion$xMathematical models
606   $aInteracció cel·lular$2thub
606   $aModels matemàtics$2thub
608   $aLlibres electrònics$2thub
615  0$aCell adhesion$xMathematical models.
615  7$aInteracció cel·lular
615  7$aModels matemàtics
676   $a574.87
700   $aButtenscho?n$b Andreas$0850499
702   $aHillen$b Thomas
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466400403316
996   $aNon-Local Cell Adhesion Models$91898863
997   $aUNISA