Journal of Biomechanics
Volume 39, Issue 13 , Pages 2347-2354 , 2006

A planar biaxial constitutive relation for the luminal layer of intra-luminal thrombus in abdominal aortic aneurysms

  • Jonathan P. Vande Geest

      Affiliations

    • Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA
    • JPVG is currently in the Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ.
  • ,
  • Michael S. Sacks

      Affiliations

    • Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA
    • McGowan Institute for Regenerative Medicine, University of Pittsburgh, Pittsburgh, PA, USA
  • ,
  • David A. Vorp

      Affiliations

    • Department of Bioengineering, University of Pittsburgh, Pittsburgh, PA
    • Department of Surgery, Division of Vascular Surgery, University of Pittsburgh, Pittsburgh, PA, USA
    • McGowan Institute for Regenerative Medicine, University of Pittsburgh, Pittsburgh, PA, USA
    • Corresponding Author InformationCorresponding author. Departments of Surgery and Bioengineering, University of Pittsburgh, McGowan Institute for Regenerative Medicine, 100 Technology Drive, Suite 200, Pittsburgh, PA 15219, USA. Tel.: +14122355142; fax: +14122355110.

,Accepted 15 May 2006.

References 

  1. Bosch JL, Lester JS, McMahon PM, Beinfeld MT, Halpern EF, Kaufman JA, et al. Hospital costs for elective endovascular and surgical repairs of infrarenal abdominal aortic aneurysms. Radiology. 2001;220(2):492–497
  2. Di Martino ES, Vorp DA. Effect of variation in intraluminal thrombus constitutive properties on abdominal aortic aneurysm wall stress. Annals of Biomedical Engineering. 2003;31(7):804–809
  3. Di Martino E, Mantero S, Inzoli F, Melissano G, Astore D, Chiesa R, et al. Biomechanics of abdominal aortic aneurysm in the presence of endoluminal thrombus: experimental characterisation and structural static computational analysis. European Journal of Vascular and Endovascular Surgery. 1998;15(4):290–299
  4. Di Martino ES, Guadagni G, Fumero A, Ballerini G, Spirito R, Biglioli P, et al. Fluid–structure interaction within realistic three-dimensional models of the aneurysmatic aorta as a guidance to assess the risk of rupture of the aneurysm. Medical Engineering and Physics. 2001;23(9):647–655
  5. Fillinger MF, Raghavan ML, Marra SP, Cronenwett JL, Kennedy FE. In vivo analysis of mechanical wall stress and abdominal aortic aneurysm rupture risk. Journal of Vascular Surgery. 2002;36(3):589–597
  6. Fillinger MF, Marra SP, Raghavan ML, Kennedy FE. Prediction of rupture risk in abdominal aortic aneurysm during observation: wall stress versus diameter. Journal of Vascular Surgery. 2003;37(4):724–732
  7. Harter LP, Gross BH, Callen PW, Barth RA. Ultrasonic evaluation of abdominal aortic thrombus. Journal of Ultrasound in Medicine. 1982;1(8):315–318
  8. Inzoli F, Boschetti F, Zappa M, Longo T, Fumero R. Biomechanical factors in abdominal aortic aneurysm rupture. European Journal of Vascular and Endovascular Surgery. 1993;7:667–674
  9. Medynsky AO, Holdsworth DW, Sherebrin MH, Rankin RN, Roach MR. The effect of storage time and repeated measurements on the elastic properties of isolated porcine aortas using high resolution X-ray CT. Canadian Journal of Physiology and Pharmacology. 1998;76(4):451–456
  10. Mower WR, Quinones WJ, Gambhir SS. Effect of intraluminal thrombus on abdominal aortic aneurysm wall stress. Journal of Vascular Surgery: Official Publication, The Society For Vascular Surgery [and] International Society For Cardiovascular Surgery, North American Chapter. 1997;26(4):602–608
  11. Powell JT, Brady AR. Detection, management, and prospects for the medical treatment of small abdominal aortic aneurysms. Atherosclerosis, Thrombosis and Vascular Biology. 2004;24:241–245
  12. Raghavan ML, Vorp DA. Toward a biomechanical tool to evaluate rupture potential of abdominal aortic aneurysm: identification of a finite strain constitutive model and evaluation of its applicability. Journal of Biomechanics. 2000;33(4):475–482
  13. Raghavan ML, Vorp DA, Federle MP, Makaroun MS, Webster MW. Wall stress distribution on three-dimensionally reconstructed models of human abdominal aortic aneurysm. Journal of Vascular Surgery. 2000;31(4):760–769
  14. Rivlin RS, Saunders DW. Large elastic deformation of isotropic materials, VII. Experiments on the deformation of rubber. Philosophical Transactions of the Royal Society of London, Series A. 1951;243:251–288
  15. Sacks MS. A method for planar biaxial mechanical testing that includes in-plane shear. Journal of Biomechanical Engineering. 1999;121(5):551–555
  16. Sacks MS. Biaxial mechanical evaluation of planar biological materials. Journal of Elasticity. 2000;61:199–246
  17. Sun W, Sacks MS, Sellaro TL, Slaughter WS, Scott MJ. Biaxial mechanical response of bioprosthetic heart valve biomaterials to high in-plane shear. Journal of Biomechanical Engineering. 2003;125(3):372–380
  18. Vande Geest JP, Sacks MS, Vorp DA. Age dependency of the biaxial biomechanical behavior of human abdominal aorta. Journal of Biomechanical Engineering. 2004;126(6):815–822
  19. Vande Geest JP, Sacks MS, Vorp DA. The effects of aneurysm on the biaxial mechanical behavior of human abdominal aorta. Journal of Biomechanics. 2005;39(7):1324–1334
  20. Venkatasubramaniam AK, Fagan MJ, Mehta T, Mylankal KJ, Ray B, Kuhan G, et al. A comparative study of aortic wall stress using finite element analysis for ruptured and non-ruptured abdominal aortic aneurysms. European Journal of Vascular and Endovascular Surgery. 2004;28(2):168–176
  21. Vorp DA, Mandarino WA, Webster MW, Gorcsan J. Potential influence of intraluminal thrombus on abdominal aortic aneurysm as assessed by a new non-invasive method. Cardiovascular Surgery. 1996;4(6):732–739
  22. Wang DH, Makaroun M, Webster MW, Vorp DA. Mechanical properties and microstructure of intraluminal thrombus from abdominal aortic aneurysm. Journal of Biomechanical Engineering. 2001;123(6):536–539
  23. Wang DH, Makaroun MS, Webster MW, Vorp DA. Effect of intraluminal thrombus on wall stress in patient-specific models of abdominal aortic aneurysm. Journal of Vascular Surgery. 2002;36(3):598–604

PII: S0021-9290(06)00165-5

doi: 10.1016/j.jbiomech.2006.05.011

Journal of Biomechanics
Volume 39, Issue 13 , Pages 2347-2354 , 2006