A computational method to assess the in vivo stresses and unloaded configuration of patient-specific blood vessels

Journal of Computational and Applied Mathematics

Volumn 246, Issue , 2013, Pages 10-17

  Bols, J ^a   Degroote, J ^a   Trachet, B ^a   Verhegghe, B ^a   Segers, P ^a   Vierendeels, J ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Image based modelling; In vivo stress; Inverse modelling; Patient specific blood vessels; Prestress; Zero pressure geometry

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; GEOMETRY; INVERSE PROBLEMS; ITERATIVE METHODS; MEDICAL IMAGING; PRESTRESSING; STRESS CONCENTRATION;

IMAGE-BASED MODELLING; IN-VIVO; INVERSE MODELLING; PATIENT SPECIFIC; ZERO PRESSURE;

BLOOD VESSELS;

EID: 84922457967     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2012.10.034     Document Type: Article

References (20)

1. J. Degroote, I. Couckuyt, J. Vierendeels, P. Segers, and T. Dhaene Inverse modelling of an aneurysm's stiffness using surrogate-based optimization and fluid-structure interaction simulations Structural and Multidisciplinary Optimization 2012 1 13
2. J. Lu, X. Zhou, and M.L. Raghavan Inverse elastostatic stress analysis in pre-deformed biological structures: demonstration using abdominal aortic aneurysms Journal of Biomechanics 40 3 2007 693 696
3. S. de Putter, B.J.B.M. Wolters, M.C.M. Rutten, M. Breeuwer, F.A. Gerritsen, and F.N. van de Vosse Patient-specific initial wall stress in abdominal aortic aneurysms with a backward incremental method Journal of Biomechanics 40 5 2007 1081 1090
4. M.W. Gee, C. Reeps, H.H. Eckstein, and W.A. Wall Prestressing in finite deformation abdominal aortic aneurysm simulation Journal of Biomechanics 42 2009 1732 1739
5. L. Speelman, E.M.H. Bosboom, G. Schurink, J. Buth, M. Breeuwer, M. Jacobs, and F. van de Vosse Initial stress and nonlinear material behavior in patient-specific AAA wall stress analysis Journal of Biomechanics 42 11 2009 1713 1719
6. M. Merkx, M. van 't Veer, L. Speelman, M. Breeuwer, J. Buth, and F. van de Vosse Importance of initial stress for abdominal aortic aneurysm wall motion: dynamic MRI validated finite element analysis Journal of Biomechanics 42 14 2009 2369 2373
7. S. Govindjee, and P.A. Mihalic Computational methods for inverse finite elastostatics Computer Methods in Applied Mechanics and Engineering 136 1-2 1996 47 57
8. S. Govindjee, and P.A. Mihalic Computational methods for inverse deformations in quasi-incompressible finite elasticity International Journal for Numerical Methods in Engineering 43 5 1998 821 838
9. V.D. Fachinotti, A. Cardona, and P. Jetteur Finite element modelling of inverse design problems in large deformations anisotropic hyperelasticity International Journal for Numerical Methods in Engineering 74 6 2008 894 910
10. M.L. Raghavan, B. Ma, and M. Fillinger Non-invasive determination of zero-pressure geometry of arterial aneurysms Annals of Biomedical Engineering 34 2006 1414 1419
11. M.W. Gee, C. Förster, and W.A. Wall A computational strategy for prestressing patient-specific biomechanical problems under finite deformation International Journal for Numerical Methods in Biomedical Engineering 26 1 2010 52 72
12. V. Alastrué, A. Garía, E. Peña, J.F. Rodríguez, M.A. Martínez, and M. Doblaré Numerical framework for patient-specific computational modelling of vascular tissue International Journal for Numerical Methods in Biomedical Engineering 26 1 2010 35 51
13. L. Speelman, A.C. Akyildiz, B. den Adel, J.J. Wentzel, A.F.W. van der Steen, R. Virmani, L. van der Weerd, J.W. Jukema, R.E. Poelmann, E.H. van Brummelen, and F.J.H. Gijsen Initial stress in biomechanical models of atherosclerotic plaques Journal of Biomechanics 44 13 2011 2376 2382
14. P.M. Pinsky, D. van der Heide, and D. Chernyak Computational modeling of mechanical anisotropy in the cornea and sclera Journal of Cataract and Refractive Surgery 31 1 2005 136 145
15. Y. Bazilevs, M.C. Hsu, Y. Zhang, W. Wang, T. Kvamsdal, S. Hentschel, and J. Isaksen Computational vascular fluid-structure interaction: methodology and application to cerebral aneurysms Biomechanics and Modeling in Mechanobiology 9 2010 481 498
16. M.C. Hsu, and Y. Bazilevs Blood vessel tissue prestress modeling for vascular fluid-structure interaction simulation Finite Elements in Analysis and Design 47 2011 593 599
17. P.J. Prendergast, C. Lally, S. Daly, A.J. Reid, T.C. Lee, D. Quinn, and F. Dolan Analysis of prolapse in cardiovascular stents: a constitutive equation for vascular tissue and finite-element modelling Journal of Biomechanical Engineering 125 5 2003 692 699
18. B. Trachet, M. Renard, G. De Santis, S. Staelens, J. De Backer, L. Antiga, B. Loeys, and P. Segers An integrated framework to quantitatively link mouse-specific hemodynamics to aneurysm formation in angiotensin II-infused ApoE -/- mice Annals of Biomedical Engineering 39 2011 2430 2444
19. http://www.pyformex.org
20. G. De Santis, M. De Beule, K. Van Canneyt, P. Segers, P. Verdonck, and B. Verhegghe Full-hexahedral structured meshing for image-based computational vascular modeling Medical Engineering & Physics 33 10 2011 1318 1325