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Computational and Mathematical Methods in Medicine
Volume 2012, Article ID 820389, 16 pages
Review Article

A Literature Review of the Numerical Analysis of Abdominal Aortic Aneurysms Treated with Endovascular Stent Grafts

1Laboratoire Central de Traitement des Images, Research Center, Hôpital Notre-Dame, Centre Hospitalier de l'Université de Montréal (CRCHUM), Montréal, QC, Canada H2L 4M1
2Department of Physiology, Biomedical Science Institute and Université de Montréal, Montréal, QC, Canada H3T 1J4
3Industrial Materials Institute, National Research Council of Canada, Boucherville, QC, Canada J4B 6Y4
4Department of Mechanical Engineering, École de Technologie Supérieure, Montréal, QC, Canada H3C 1K3
5Department of Radiology, Radio-Oncology and Nuclear Medicine, Université de Montréal, Montréal, QC, Canada H2L 4M1
6Département de Radiologie, Hôpital Notre-Dame, CRCHUM, 1560 Sherbrooke est, Montréal, QC, Canada H2L 4M1

Received 1 May 2012; Accepted 16 July 2012

Academic Editor: Fabio Galbusera

Copyright © 2012 David Roy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this paper is to present the basic principles and relevant advances in the computational modeling of abdominal aortic aneurysms and endovascular aneurysm repair, providing the community with up-to-date state of the art in terms of numerical analysis and biomechanics. Frameworks describing the mechanical behavior of the aortic wall already exist. However, intraluminal thrombus nonhomogeneous structure and porosity still need to be well characterized. Also, although the morphology and mechanical properties of calcifications have been investigated, their effects on wall stresses remain controversial. Computational fluid dynamics usually assumes a rigid artery wall, whereas fluid-structure interaction accounts for artery compliance but is still challenging since arteries and blood have similar densities. We discuss alternatives to fluid-structure interaction based on dynamic medical images that address patient-specific hemodynamics and geometries. We describe initial stresses, elastic boundary conditions, and statistical strength for rupture risk assessment. Special emphasis is accorded to workflow development, from the conversion of medical images into finite element models, to the simulation of catheter-aorta interactions and stent-graft deployment. Our purpose is also to elaborate the key ingredients leading to virtual stenting and endovascular repair planning that could improve the procedure and stent-grafts.