TR-2007-027 A Case Study in Explorative Functional Data Analysis : Geometrical Features of the Internal Carotid Artery

This pilot study is a product of the AneuRisk Project, a scientific program that aims at evaluating the role of vascular geometry and hemodynamics in the pathogenesis of cerebral aneurysms. By means of functional data analyses, we explore the AneuRisk dataset to highlight the relations between the geometric features of the internal carotid artery, expressed by its radius profile and centerline curvature, and the aneurysm location. After introducing a new similarity index for functional data, we eliminate This research has been carried out within AneuRisk Project, a joint research program involving MOX Laboratory for Modeling and Scientific Computing (Dipartimento di Matematica, Politecnico di Milano), Laboratory of Biological Structures (Dipartimento di Ingegneria Strutturale, Politecnico di Milano), Istituto Mario Negri (Ranica), Ospedale Niguarda Ca’ Granda (Milano), and Ospedale Maggiore Policlinico (Milano). The Project is supported by Fondazione Politecnico di Milano and Siemens-Medical Solutions, Italia. We are especially grateful to Edoardo Boccardi (Ospedale Niguarda Ca’ Granda), who provided the 3D-angiographies and motivated our reaserch by posing fascinating medical questions, and to Luca Antiga and Marina Piccinelli (Istituto Mario Negri), who performed the image reconstructions.