{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T19:06:55Z","timestamp":1769195215783,"version":"3.49.0"},"reference-count":75,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Fonds de la recherche en sant\u00e9 du Qu\u00e9bec"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.1155\/2012\/820389","type":"journal-article","created":{"date-parts":[[2012,9,6]],"date-time":"2012-09-06T21:28:18Z","timestamp":1346966898000},"page":"1-16","source":"Crossref","is-referenced-by-count":22,"title":["A Literature Review of the Numerical Analysis of Abdominal Aortic Aneurysms Treated with Endovascular Stent Grafts"],"prefix":"10.1155","volume":"2012","author":[{"given":"David","family":"Roy","sequence":"first","affiliation":[{"name":"Laboratoire Central de Traitement des Images, Research Center, H\u00f4pital Notre-Dame, Centre Hospitalier de l'Universit\u00e9 de Montr\u00e9al (CRCHUM), Montr\u00e9al, QC, Canada H2L 4M1"},{"name":"Department of Physiology, Biomedical Science Institute and Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada H3T 1J4"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claude","family":"Kauffmann","sequence":"additional","affiliation":[{"name":"Laboratoire Central de Traitement des Images, Research Center, H\u00f4pital Notre-Dame, Centre Hospitalier de l'Universit\u00e9 de Montr\u00e9al (CRCHUM), Montr\u00e9al, QC, Canada H2L 4M1"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S\u00e9bastien","family":"Delorme","sequence":"additional","affiliation":[{"name":"Industrial Materials Institute, National Research Council of Canada, Boucherville, QC, Canada J4B 6Y4"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sophie","family":"Lerouge","sequence":"additional","affiliation":[{"name":"Laboratoire Central de Traitement des Images, Research Center, H\u00f4pital Notre-Dame, Centre Hospitalier de l'Universit\u00e9 de Montr\u00e9al (CRCHUM), Montr\u00e9al, QC, Canada H2L 4M1"},{"name":"Department of Mechanical Engineering, \u00c9cole de Technologie Sup\u00e9rieure, Montr\u00e9al, QC, Canada H3C 1K3"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guy","family":"Cloutier","sequence":"additional","affiliation":[{"name":"Laboratoire Central de Traitement des Images, Research Center, H\u00f4pital Notre-Dame, Centre Hospitalier de l'Universit\u00e9 de Montr\u00e9al (CRCHUM), Montr\u00e9al, QC, Canada H2L 4M1"},{"name":"Department of Physiology, Biomedical Science Institute and Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada H3T 1J4"},{"name":"Department of Radiology, Radio-Oncology and Nuclear Medicine, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada H2L 4M1"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gilles","family":"Soulez","sequence":"additional","affiliation":[{"name":"Laboratoire Central de Traitement des Images, Research Center, H\u00f4pital Notre-Dame, Centre Hospitalier de l'Universit\u00e9 de Montr\u00e9al (CRCHUM), Montr\u00e9al, QC, Canada H2L 4M1"},{"name":"Department of Physiology, Biomedical Science Institute and Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada H3T 1J4"},{"name":"Department of Radiology, Radio-Oncology and Nuclear Medicine, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada H2L 4M1"},{"name":"D\u00e9partement de Radiologie, H\u00f4pital Notre-Dame, CRCHUM, 1560 Sherbrooke est, Montr\u00e9al, QC, Canada H2L 4M1"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1161\/CIRCULATIONAHA.107.747923"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1056\/NEJMct0707524"},{"key":"3","year":"2007"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.2337\/dc07-1802"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1111\/j.1538-7836.2010.04164.x"},{"issue":"8","key":"6","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1080\/10255842.2010.493514","volume":"14","year":"2011","journal-title":"Computer Methods in Biomechanics and Biomedical Engineering"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-010-0094-3"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvs.2003.10.058"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1001\/jama.276.14.1186"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.avsg.2008.08.006"},{"key":"11","doi-asserted-by":"crossref","first-page":"704","DOI":"10.1016\/j.ejvs.2011.08.006","volume":"42","year":"2011","journal-title":"European Journal of Vascular and Endovascular Surgery"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2006.09.003"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/53\/22\/013"},{"issue":"10","key":"14","doi-asserted-by":"crossref","first-page":"2032","DOI":"10.1109\/TUFFC.2011.2052","volume":"58","year":"2011","journal-title":"IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-010-9949-x"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.medengphy.2011.01.012"},{"key":"17","year":"2009"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2009.2039579"},{"key":"19","year":"2000"},{"key":"20","year":"2009"},{"key":"21","year":"2005"},{"key":"22","year":"2005"},{"key":"23","year":"2005"},{"key":"24","year":"2008"},{"key":"25","year":"1984"},{"key":"26","year":"1990"},{"key":"27","year":"1993"},{"issue":"5","key":"28","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1007\/BF02684226","volume":"24","year":"1996","journal-title":"Annals of Biomedical Engineering"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9290(99)00201-8"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1023\/A:1010835316564"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1115\/1.2898830"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1115\/1.3005341"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1115\/1.3005200"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2005.03.003"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-008-9490-3"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-009-9836-5"},{"key":"38","year":"2006"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2006.04.019"},{"key":"40","doi-asserted-by":"publisher","DOI":"10.1016\/j.actbio.2006.05.003"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1007\/s10237-010-0191-0"},{"key":"42","year":"2009"},{"key":"43","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejvs.2009.09.026"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejvs.2009.11.021"},{"key":"45","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-006-9132-6"},{"key":"46","doi-asserted-by":"publisher","DOI":"10.1007\/s10439-010-0067-6"},{"key":"47","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2007.12.014"},{"key":"48","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2007.08.001"},{"key":"49","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2010.03.024"},{"key":"50","doi-asserted-by":"publisher","DOI":"10.1016\/j.ultrasmedbio.2010.06.007"},{"key":"51","doi-asserted-by":"publisher","DOI":"10.1007\/s10237-004-0050-y"},{"key":"52","year":"2003"},{"key":"53","first-page":"109","volume-title":"Structural and numerical models for the (visco)elastic response of arterial walls with residual stresses","year":"2003"},{"key":"54","doi-asserted-by":"publisher","DOI":"10.1016\/S1350-4533(01)00093-5"},{"key":"55","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2005.12.013"},{"issue":"4","key":"56","first-page":"325","volume":"28","year":"2009","journal-title":"International Angiology"},{"key":"57","doi-asserted-by":"publisher","DOI":"10.1115\/1.1411971"},{"key":"58","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvs.2008.01.006"},{"key":"59","doi-asserted-by":"publisher","DOI":"10.1007\/s10237-007-0080-3"},{"issue":"3","key":"60","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1067\/mva.2000.103693","volume":"31","year":"2000","journal-title":"Journal of Vascular Surgery"},{"issue":"10","key":"62","volume":"132","year":"2010","journal-title":"Journal of Biomechanical Engineering"},{"issue":"5","key":"63","doi-asserted-by":"crossref","first-page":"916","DOI":"10.1016\/S0741-5214(97)70223-4","volume":"25","year":"1997","journal-title":"Journal of Vascular Surgery"},{"key":"64","first-page":"763","volume-title":"Poroelastic model of intraluminal thrombus in FEA of aortic aneurysm","volume":"31","year":"2010"},{"issue":"3","key":"65","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1177\/1358863X11431293","volume":"17","year":"2012","journal-title":"Vascular Medicine"},{"key":"66","doi-asserted-by":"publisher","DOI":"10.1583\/08-2505.1"},{"key":"67","doi-asserted-by":"publisher","DOI":"10.1115\/1.1934040"},{"key":"68","doi-asserted-by":"publisher","DOI":"10.1016\/j.medengphy.2008.03.005"},{"key":"69","doi-asserted-by":"publisher","DOI":"10.1007\/s10558-010-9097-9"},{"key":"70","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2005.09.002"},{"key":"71","doi-asserted-by":"publisher","DOI":"10.1016\/j.medengphy.2004.12.003"},{"issue":"12","key":"72","volume":"132","year":"2010","journal-title":"Journal of Biomechanical Engineering"},{"key":"73","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2005.07.010"},{"key":"74","volume":"8, article 24","year":"2009","journal-title":"BioMedical Engineering Online"},{"issue":"1","key":"75","volume":"133","year":"2011","journal-title":"Journal of Biomechanical Engineering"},{"key":"77","first-page":"95","volume-title":"Biomechanical analysis of abdominal aortic aneurysms","year":"2010"},{"key":"78","doi-asserted-by":"publisher","DOI":"10.1016\/j.triboint.2005.10.010"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2012\/820389.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2012\/820389.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2012\/820389.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T23:50:55Z","timestamp":1498002655000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2012\/820389\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":75,"alternative-id":["820389","820389"],"URL":"https:\/\/doi.org\/10.1155\/2012\/820389","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"value":"1748-670X","type":"print"},{"value":"1748-6718","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}