An Integrated Statistical Investigation of the Internal Carotid Arteries hosting Cerebral Aneurysms

Cerebral aneurysm formation is the result of a complex interplay of systemic and local factors. Among the latter, the role of the geometry of the vessel hosting an aneurysm (parent vessel) and the induced hemodynamics still needs to be carefully investigated. In this paper we have considered a data set of 52 patients, reconstructed the geometries of the parent vessel and extracted the relevant morphological features with image processing methods. We performed the computational fluid dynamics analysis of these patients with a finite element solver. We have collected in this way a set of data including morphology and wall shear stress along the parent vessel. Thanks to a functional principal component analysis we related relevant This work has been supported by the Foundation Politecnico di Milano with SIEMENS Medical Solutions Italy (ANEURISK Project) , the Brain Aneurysm Foundation “Computational and Statistical Analysis of Brain Aneurysm Morphology & Hemodynamics and the Italian MIUR FIRB research project “Advanced statistical and numerical methods for the analysis of high dimensional functional data in life sciences and engineering”. T. Passerini, M. Piccinelli, A. Veneziani Department of Mathematics and Computer Science, Emory University Tel.: +1-404-7277925 E-mail: tiziano,marina,ale@mathcs.emory.edu L. M. Sangalli, S. Vantini, P. Secchi MOX (Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, E-mail: laura.sangalli,simone.vantini,piercesare.secchi@polimi.it S.Bacigaluppi Department of Neurosurgery, Niguarda Ca’Granda Hospital, Milan, Department of Neurosciences and Biomedical Technologies, University of Milano-Bicocca, Monza, Italy E-mail: susannabacigaluppi@yahoo.it L. Antiga Orobix, Bergamo, Italy E-mail: luca.antiga@gmail.com E. Boccardi Department of Neuroradiology, Niguarda Ca Granda Hospital, Milan E-mail: Edoardo.Boccardi@OspedaleNiguarda.it 2 Passerini, Sangalli, et al. geometrical and fluid dynamical features to a classification of patients depending on the location of the aneurysms and the rupture status. This analysis is anticipated to provide a contribution for the assessment of an index for the rupture risk.

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