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Original Articles

Stochastic modelling of wall stresses in abdominal aortic aneurysms treated by a gene therapy

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Pages 435-443 | Received 25 Aug 2010, Accepted 14 Nov 2010, Published online: 24 Jan 2011

References

  • Allaire , E , Guettier , C , Bruneval , P , Plissonnier , D and Michel , JB . 1994 . Cell-free arterial grafts: morphologic characteristics of aortic isografts, allografts, and xenografts in rats . J Vasc Surg , 19 : 446 – 456 .
  • Allaire , E , Muscatelli-Groux , B , Guinault , AM , Pages , C , Goussard , A , Mandet , C , Bruneval , P , Méllière , D and Becquemin , JP . 2004 . Vascular smooth muscle cell endovascular therapy stabilizes already developed aneurysms in a model of aortic injury elicited by inflammation and proteolysis . Ann Surg , 239 ( 3 ) : 417 – 427 .
  • Allaire , E , Schneider , F , Saucy , F , Dai , J , Cochennec , F , Michineau , S , Zidi , M , Becquemin , JP , Kirsh , M and Gervais , M . 2009 . New insight in aetiopathogenesis of aortic diseases . Eur J Vasc Endovasc Surg , 37 : 531 – 537 .
  • Anidjar , S , Salzmann , JL , Gentric , D , Lagneau , P , Camilleri , P and Michel , JB . 1990 . Elastase-induced experimental aneurysms in rats . Circulation , 82 : 973 – 981 .
  • Dai , J , Losy , F , Guinault , AM , Pagès , C , Anegon , I , Desgranges , P , Becquemin , JP and Allaire , E . 2005 . Overexpression of transforming growth factor-beta 1 stabilizes already-formed aortic aneurysms. A first approach to induction of functional healing by endovascular gene therapy . Circulation , 112 : 1108 – 1115 .
  • Di Martino , ES , Bohra , A , Vande Geest , JP , Gupta , N , Makaroun , MS and Vorp , DA . 2006 . Biomechanical properties of ruptured versus electively repaired abdominal aortic aneurysm wall tissue . J Vasc Surg , 43 ( 3 ) : 570 – 576 .
  • Dobrin , PB , Baker , WH and Gley , WC . 1984 . Elastolytic and collagenolytic studies of arteries. Implications for the mechanical properties of aneurysms . Arch Surg , 119 : 405 – 409 .
  • Eddhahak , A , Masson , I , Allaire , E and Zidi , M . 2009 . Stochastic approach to estimate the arterial pressure . Eur J Mech A/Solids , 28 : 712 – 719 .
  • Elger , DF , Blackketter , DM , Budwig , RS and Johansen , KH . 1996 . The influence of shape on the stresses in model abdominal aortic aneurysms . J Biomech Eng , 118 : 326 – 332 .
  • Humphrey , JD . 2002 . Cardiovascular solid mechanics: cells, tissues, and organs , New York, NY : Springer-Verlag .
  • Jaynes , ET . 1957 . Information theory and statistical mechanics . Phys Rev , 106 : 620 – 630 .
  • Kalos , MH and Whitlock , PA . 1992 . Monte-Carlo methods volume 1: basics , Chichester : Wiley .
  • Kapur , JN and Kesavan , HK . 1992 . Entropy optimization principles with applications , San Diego, CA : Academic Press .
  • Kree , P and Soize , C . 1983 . Mécanique aléatoire [Mechanical random] , Paris : Dunod .
  • Li , Z and Kleinstreuer , C . 2005 . A new wall stress equation for aneurysm rupture prediction . Ann Biomed Eng , 33 : 209 – 213 .
  • Lu , J , Zhou , X and Raghavan , ML . 2007 . Inverse elastostatic stress analysis in pre-deformed biological structures: demonstration using abdominal aortic aneurysms . J Biomech , 40 : 693 – 696 .
  • O'Connell MK, Kimura H, Sho E, Sho M, Dalman RL, Taylor CA. 2003. Correlation of mechanical properties and microstructure of rat elastase-infusion abdominal aortic aneurysms. Summer Bioengineering Conference, Florida, USA, p. 0871–0872
  • Raghavan , ML , Webster , MW and Vorp , DA . 1996 . Ex-vivo biomechanical behavior of abdominal aortic aneurysm: assessment using a new mathematical model . Ann Biomed Eng , 24 : 573 – 582 .
  • Rodriguez , JF , Doblaré , M and Holzapfel , GA . 2008 . Mechanical stresses in abdominal aneurysms: influence of diameter, asymmetry, and material anisotropy . J Biomech Eng , 130 ( 2 ) : 021023
  • Sacks , MS , Vorp , DA , Raghavan , ML , Federle , MP and Webster , MW . 1999 . In vivo three-dimensional surface geometry of abdominal aortic aneurysms . Ann Biomed Eng , 27 : 469 – 479 .
  • Sakalihasan , N , Limet , R and Defawe , OD . 2005 . Abdominal aortic aneurysm . Lancet , 365 ( 9470 ) : 1577 – 1589 .
  • Shannon , CE . 1948 . A mathematical theory of communication . Bell Syst Tech J , 27 : 379 – 423 . & 623–656
  • Soize , C . 2001 . Maximum entropy approach for modeling random uncertainties in transient elastodynamics . J Acoust , 109
  • Van damme , H , Sakalihasan , N and Limet , R . 2005 . Factors promoting rupture and abdominal aortic aneurysm . Acta Chir Belg , 105 : 1 – 11 .
  • Vorp , DA . 2007 . Biomechanics of abdominal aortic aneurysm . J Biomech , 40 : 1887 – 1902 .
  • Vorp , DA , Rahavan , M and Webster , M . 1998 . Mechanical wall stress in abdominal aortic aneurysm: influence of diameter and asymmetry . J Vasc Surg , 27 : 632 – 639 .
  • Watton , PN and Hill , NA . 2009 . Evolving mechanical properties of a model of abdominal aortic aneurysm . Biomech Model Mechanobiol , 8 ( 1 ) : 25 – 42 .

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