Matches in SemOpenAlex for { <https://semopenalex.org/work/W2090430607> ?p ?o ?g. }
- W2090430607 endingPage "166" @default.
- W2090430607 startingPage "147" @default.
- W2090430607 abstract "We consider parameter identification for the classic Gierer--Meinhardt reaction-diffusion system. The original Gierer--Meinhardt model [A. Gierer and H. Meinhardt, Kybernetik, 12 (1972), pp. 30--39] was formulated with constant parameters and has been used as a prototype system for investigating pattern formation in developmental biology. In our paper the parameters are extended in time and space and used as distributed control variables. The methodology employs PDE-constrained optimization in the context of image-driven spatiotemporal pattern formation. We prove the existence of optimal solutions, derive an optimality system, and determine optimal solutions. The results of numerical experiments in two dimensions are presented using the finite element method, which illustrates the convergence of a variable-step gradient algorithm for finding the optimal parameters of the system. A practical target function is constructed for the optimal control algorithm corresponding to the actual image of a marine angelfish." @default.
- W2090430607 created "2016-06-24" @default.
- W2090430607 creator A5067562365 @default.
- W2090430607 creator A5070920996 @default.
- W2090430607 date "2014-01-01" @default.
- W2090430607 modified "2023-09-26" @default.
- W2090430607 title "Identification of Space-Time Distributed Parameters in the Gierer--Meinhardt Reaction-Diffusion System" @default.
- W2090430607 cites W1601589649 @default.
- W2090430607 cites W1973627750 @default.
- W2090430607 cites W1980661496 @default.
- W2090430607 cites W1982496436 @default.
- W2090430607 cites W1993978322 @default.
- W2090430607 cites W1998454639 @default.
- W2090430607 cites W2017825315 @default.
- W2090430607 cites W2017956962 @default.
- W2090430607 cites W2021036023 @default.
- W2090430607 cites W2025491796 @default.
- W2090430607 cites W2027740837 @default.
- W2090430607 cites W2028541846 @default.
- W2090430607 cites W2029254665 @default.
- W2090430607 cites W2031632705 @default.
- W2090430607 cites W2038220764 @default.
- W2090430607 cites W2043841940 @default.
- W2090430607 cites W2047888028 @default.
- W2090430607 cites W2048402528 @default.
- W2090430607 cites W2061703559 @default.
- W2090430607 cites W2067511295 @default.
- W2090430607 cites W2074377107 @default.
- W2090430607 cites W2077702780 @default.
- W2090430607 cites W2085831953 @default.
- W2090430607 cites W2086086086 @default.
- W2090430607 cites W2089840306 @default.
- W2090430607 cites W2091229997 @default.
- W2090430607 cites W2093642042 @default.
- W2090430607 cites W2109168354 @default.
- W2090430607 cites W2120030832 @default.
- W2090430607 cites W2122166970 @default.
- W2090430607 cites W2132847744 @default.
- W2090430607 cites W2135558784 @default.
- W2090430607 cites W2138026128 @default.
- W2090430607 cites W2153873968 @default.
- W2090430607 cites W2161508768 @default.
- W2090430607 cites W2165032570 @default.
- W2090430607 cites W2964238642 @default.
- W2090430607 cites W2032173367 @default.
- W2090430607 doi "https://doi.org/10.1137/120885784" @default.
- W2090430607 hasPublicationYear "2014" @default.
- W2090430607 type Work @default.
- W2090430607 sameAs 2090430607 @default.
- W2090430607 citedByCount "18" @default.
- W2090430607 countsByYear W20904306072016 @default.
- W2090430607 countsByYear W20904306072017 @default.
- W2090430607 countsByYear W20904306072018 @default.
- W2090430607 countsByYear W20904306072020 @default.
- W2090430607 countsByYear W20904306072021 @default.
- W2090430607 countsByYear W20904306072022 @default.
- W2090430607 countsByYear W20904306072023 @default.
- W2090430607 crossrefType "journal-article" @default.
- W2090430607 hasAuthorship W2090430607A5067562365 @default.
- W2090430607 hasAuthorship W2090430607A5070920996 @default.
- W2090430607 hasConcept C105795698 @default.
- W2090430607 hasConcept C121231716 @default.
- W2090430607 hasConcept C121332964 @default.
- W2090430607 hasConcept C126255220 @default.
- W2090430607 hasConcept C134306372 @default.
- W2090430607 hasConcept C151730666 @default.
- W2090430607 hasConcept C153240184 @default.
- W2090430607 hasConcept C162324750 @default.
- W2090430607 hasConcept C2777303404 @default.
- W2090430607 hasConcept C2779343474 @default.
- W2090430607 hasConcept C28826006 @default.
- W2090430607 hasConcept C33923547 @default.
- W2090430607 hasConcept C50522688 @default.
- W2090430607 hasConcept C69357855 @default.
- W2090430607 hasConcept C86803240 @default.
- W2090430607 hasConcept C91575142 @default.
- W2090430607 hasConcept C97355855 @default.
- W2090430607 hasConceptScore W2090430607C105795698 @default.
- W2090430607 hasConceptScore W2090430607C121231716 @default.
- W2090430607 hasConceptScore W2090430607C121332964 @default.
- W2090430607 hasConceptScore W2090430607C126255220 @default.
- W2090430607 hasConceptScore W2090430607C134306372 @default.
- W2090430607 hasConceptScore W2090430607C151730666 @default.
- W2090430607 hasConceptScore W2090430607C153240184 @default.
- W2090430607 hasConceptScore W2090430607C162324750 @default.
- W2090430607 hasConceptScore W2090430607C2777303404 @default.
- W2090430607 hasConceptScore W2090430607C2779343474 @default.
- W2090430607 hasConceptScore W2090430607C28826006 @default.
- W2090430607 hasConceptScore W2090430607C33923547 @default.
- W2090430607 hasConceptScore W2090430607C50522688 @default.
- W2090430607 hasConceptScore W2090430607C69357855 @default.
- W2090430607 hasConceptScore W2090430607C86803240 @default.
- W2090430607 hasConceptScore W2090430607C91575142 @default.
- W2090430607 hasConceptScore W2090430607C97355855 @default.
- W2090430607 hasIssue "1" @default.
- W2090430607 hasLocation W20904306071 @default.
- W2090430607 hasOpenAccess W2090430607 @default.
- W2090430607 hasPrimaryLocation W20904306071 @default.