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000197276 0247_ $$2doi$$a10.1080/01621459.2014.946036
000197276 037__ $$aARTICLE
000197276 245__ $$aBlood flow velocity field estimation via spatial regression with PDE penalization
000197276 269__ $$a2015
000197276 260__ $$bAmerican Statistical Association$$c2015
000197276 336__ $$aJournal Articles
000197276 520__ $$aWe propose an innovative method for the accurate estimation of surfaces and spatial fields when prior knowledge of the phenomenon under study is available. The prior knowledge included in the model derives from physics, physiology, or mechanics of the problem at hand, and is formalized in terms of a partial differential equation governing the phenomenon behavior, as well as conditions that the phenomenon has to satisfy at the boundary of the problem domain. The proposed models exploit advanced scientific computing techniques and specifically make use of the finite element method. The estimators have a penalized regression form and the usual inferential tools are derived. Both the pointwise and the areal data frameworks are considered. The driving application concerns the estimation of the blood flow velocity field in a section of a carotid artery, using data provided by echo-color Doppler. This applied problem arises within a research project that aims at studying atherosclerosis pathogenesis. Supplementary materials for this article are available online.
000197276 6531_ $$aFinite elements
000197276 6531_ $$aFunctional data analysis
000197276 6531_ $$aobject-oriented data analysis
000197276 6531_ $$apenalized regression
000197276 6531_ $$aSpatial data analysis
000197276 700__ $$aAzzimonti, Laura
000197276 700__ $$aSangalli, Laura M.
000197276 700__ $$aSecchi, Piercesare
000197276 700__ $$aDomanin, Maurizio
000197276 700__ $$g118353$$aNobile, Fabio$$0241873
000197276 773__ $$j110$$tJournal of the American Statistical Association$$k511$$q1057-1071
000197276 8564_ $$uhttps://infoscience.epfl.ch/record/197276/files/2015_Azzimonti_Nobile_Sangalli_Secchi_JASA_Blood.pdf$$zPublisher's version$$s3514797$$yPublisher's version
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