In vivo determination of elastic properties of the human aorta based on 4D ultrasound data

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 27, Issue , 2013, Pages 167-183

  Wittek, Andreas ^a   Karatolios, Konstantinos ^b   Bihari, Peter ^a   Schmitz Rixen, Thomas ^a   Moosdorf, Rainer ^b   Vogt, Sebastian ^b   Blase, Christopher ^a  

^a GOETHE UNIVERSITY   (Germany)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

3 Dimensional ultrasound imaging; Abdominal aorta; Anisotropic hyperelastic; Finite element updating method; In vivo; Vascular mechanics

Indexed keywords

ABDOMINAL AORTA; FINITE ELEMENT UPDATING; HYPER ELASTIC; IN-VIVO; ULTRASOUND IMAGING; VASCULAR MECHANICS;

COUPLED CIRCUITS; FINITE ELEMENT METHOD; INVERSE PROBLEMS; ITERATIVE METHODS; PHYSIOLOGY; ULTRASONIC IMAGING; ULTRASONICS;

BLOOD VESSELS;

ABDOMINAL AORTA; ABDOMINAL PRESSURE; ADULT; AORTA WALL; ARTICLE; COMPUTER ANALYSIS; CONTROLLED STUDY; ELASTICITY; FINITE ELEMENT ANALYSIS; FOUR DIMENSIONAL ECHOCARDIOGRAPHY; GEOMETRY; HUMAN; HUMAN EXPERIMENT; KINEMATICS; MALE; MEASUREMENT ERROR; NORMAL HUMAN; PRIORITY JOURNAL; SURFACE PROPERTY; ULTRASOUND;

3-DIMENSIONAL ULTRASOUND IMAGING; 4D-US; ABDOMINAL AORTA; ANISOTROPIC HYPERELASTIC; BC; BENCHMARK MODEL; BM; BOUNDARY CONDITION; EM; ESTIMATION MODEL; FEU; FINITE ELEMENT UPDATING METHOD; IN VIVO; SEF; STRAIN ENERGY FUNCTION; THREE DIMENSIONAL TIME RESOLVED ULTRASOUND; VASCULAR MECHANICS;

ADULT; AORTA; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; IMAGING, THREE-DIMENSIONAL; MALE; STRESS, MECHANICAL;

EID: 84884292441     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2013.03.014     Document Type: Article

References (61)

1. Abaqus 6.12, 2012a. Abaqus Analysis User's Manual, Providence, RI, USA.
2. Abaqus 6.12, 2012b. Abaqus Theory Manual, Providence, RI, USA.
3. American Institute of Ultrasound in Medicine, American College of Radiology, Society of Radiologists in Ultrasound AIUM practice guideline for the performance of diagnostic and screening ultrasound examinations of the abdominal aorta in adults. Journal of Ultrasound in Medicine 2011, 30(1):121-126.
4. Avolio A.P., Chen S.G., Wang R.P., Zhang C.L., Li M.F., O'Rourke M.F. Effects of aging on changing arterial compliance and left ventricular load in a northern Chinese urban community. Circulation 1983, 68(1):50-58.
5. Avril S., Bonnet M., Bretelle A.-S., Grediac M., Hild F., Ienny P., Latourte F., Lemosse D., Pagano S., Pagnacco E., Pierron F. Overview of identification methods of mechanical parameters based on full-field measurements. Experimental Mechanics 2008, 48(4):381-402.
6. Avril S., Badel P., Duprey A. Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements. Journal of Biomechanics 2010, 43:2978-2985.
7. Badel P., Avril S., Lessner S., Sutton M. Mechanical identification of layer-specific properties of mouse carotid arteries using 3D-DIC and a hyperelastic anisotropic constitutive model. Computer Methods in Biomechanics and Biomedical Engineering 2012, 15:37-48.
8. Bihari P., Shelke A., Nwe T.H., Mularczyk M., Nelson K., Schmandra T., Knez P., Schmitz-Rixen T. Strain measurement of abdominal aortic aneurysm with real-time 3D-ultrasound speckle tracking. European Journal of Vascular and Endovascular Surgery 2013, 10.1016/j.ejvs.2013.01.004.
9. Collette Y., Siarry P. Multiobjective Optimization: Principles and case studies 2004, Springer, Berlin. first ed.
10. Ehrgott M. Multicriteria Optimization 2005, Springer, Berlin, Heidelberg, Berlin, Heidelberg.
11. Fung Y.-C. Biomechanics: Mechanical Properties of Living Tissues 1993, Springer, New York, NY, Berlin. second ed.
12. Fung Y.C., Fronek K., Patitucci P. Pseudoelasticity of arteries and the choice of its mathematical expression. American Journal of Physiology 1979, 237(5):H620-H631.
13. Gasser T.C., Ogden R.W., Holzapfel G.A. Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Journal of the Royal Society, Interface 2006, 3:15-35.
14. Gee M.W., Förster C., Wall W.A. A computational strategy for prestressing patient-specific biomechanical problems under finite deformation. International Journal of Numerical Methods in Biomedical Engineering 2010, 26:52-72.
15. Gee M.W., Reeps C., Eckstein H.H., Wall W.A. Prestressing in finite deformation abdominal aortic aneurysm simulation. Journal of Biomechanics 2009, 42:1732-1739.
16. Geyer H., Caracciolo G., Abe H., Wilansky S., Carerj S., Gentile F., Nesser H.-J., Khandheria B., Narula J., Sengupta P.P. Assessment of myocardial mechanics using speckle tracking echocardiography: fundamentals and clinical applications. Journal of the American Society of Echocardiography 2010, 23:351-369.
17. Grediac M., Pierron F., Avril S., Toussaint E. The virtual fields method for extracting constitutive parameters from full-field measurements: a review. Strain 2006, 42(4):233-253.
18. Heimdal A., Stoylen A., Torp H., Skjaerpe T. Real-time strain rate imaging of the left ventricle by ultrasound. Journal of the American Society of Echocardiography 1998, 11:1013-1019.
19. Holzapfel G.A., Ogden R.W. Constitutive modelling of arteries. Review Proceedings of the Royal Society of London Series A 2010, 466(2118):1551-1597.
20. Holzapfel G.A., Weizäcker H.W. Biomechanical behaviour of the arterial wall and its numerical characterization. Computers in Biology and Medicine 1998, 28:377-392.
21. Horny L., Adamek T., Gultova E., Zitny R., Vesely J., Chlup H., Konvickova S. Correlations between age, prestrain, diameter and atherosclerosis in the male abdominal aorta. Journal of the Mechanical Behavior of Biomedical Materials 2011, 4:2128-2132.
22. Humphrey J.D. An evaluation of pseudoelastic descriptors used in arterial mechanics. Journal of Biomechanical Engineering 1999, 121(2):259-262.
23. Humphrey J.D., Holzapfel G.A. Mechanics, mechanobiology, and modeling of human abdominal aorta and aneurysms. Journal of Biomechanics 2012, 45:805-814.
24. Imura T., Yamamoto K., Kanamori K., Mikami T., Yasuda H. Non-invasive ultrasonic measurement of the elastic properties of the human abdominal aorta. Cardiovascular Research 1986, 20:208-214.
25. Kassenärztliche Vereinigung Rheinland-Pfalz, 2010. Qualitätssicherungs-Richtlinie Ultraschalldiagnostik der KV RLP,. http://www.kv-rlp.de/no_cache/info-center/info-center/qualitaet/qualitaetssicherung/sonographie.html.
26. Kassab G.S. Biomechanics of the cardiovascular system: the aorta as an illustratory example. Journal of the Royal Society, Interface 2006, 3(11):719-740.
27. Keulenaer B.L., de, Waele J.J., de, Powell B., Malbrain M.L.N.G. What is normal intra-abdominal pressure and how is it affected by positioning, body mass and positive end-expiratory pressure?. Intensive Care Medicine 2009, 35(6):969-976.
28. Krishnamurthy G., Ennis D.B., Itoh A., Bothe W., Swanson J.C., Karlsson M., Kuhl E., Miller D.C., Ingels N.B. Material properties of the ovine mitral valve anterior leaflet in vivo from inverse finite element analysis. American Journal of Physiology Heart and Circulatory Physiology 2008, 295:H1141-H1149.
29. Kroon M., Holzapfel G. A new constitutive model for multi-layered collagenous tissues. Journal of Biomechanics 2008, 41(12):2766-2771.
30. Kroon M., Holzapfel G.A. Elastic properties of anisotropic vascular membranes examined by inverse analysis. Computer Methods in Applied Mechanics and Engineering 2009, 198:3622-3632.
31. Learoyd B.M., Taylor M.G. Alterations with age in the viscoelastic properties of human arterial walls. Circulation Research 1966, 18(3):278-292.
32. Lubinski M.A., Emelianov S.Y., O'Donnell M. Speckle tracking methods for ultrasonic elasticity imaging using short-time correlation. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 1999, 46:82-96.
33. Lu J., Zhou X., Raghavan M.L. Computational method of inverse elastostatics for anisotropic hyperelastic solids. International Journal for Numerical Methods in Engineering 2007, 69:1239-1261.
34. Lu J., Zhou X., Raghavan M.L. Inverse elastostatic stress analysis in pre-deformed biological structures: Demonstration using abdominal aortic aneurysms. Journal of Biomechanics 2007, 40:693-696.
35. Maier A., Gee M.W., Reeps C., Pongratz J., Eckstein H.H., Wall W.A. A comparison of diameter, wall stress, and rupture potential index for abdominal aortic aneurysm rupture risk prediction. Annals of Biomedical Engineering 2010, 38(10):3124-3134.
36. Meuwissen M.H., Oomens C.W., Baaijens F.P., Petterson R., Janssen J.D. Determination of the elasto-plastic properties of aluminium using a mixed numerical-experimental method. Journal of Materials Processing Technology 1998, 75(1-3):204-211.
37. Najarian S., Dargahi J., Farmanzad F. Elastodynamic analysis of the human aorta and the effect of biomechanical parameters on its behavior. Biomedical Materials and Engineering 2007, 17(4):235-240.
38. Nelder J.A., Mead R. A Simplex Method for Function Minimization. Computer Journal 1965, 7:308-313.
39. Nichols, M., Townsend, N., Scarborough, P., Rayner, M., Leal, J., Luengo-Fernandez, R., 2012. European cardiovascular disease statistics, 2012 edition. European Heart Network and European Society of Cardiology. http://www.ehnheart.org/downloads/1335.html.
40. Ning J., Xu S., Wang Y., Lessner S.M., Sutton M.A., Anderson K., Bischoff J.E. Deformation measurements and material property estimation of mouse carotid artery using a microstructure-based constitutive model. Journal of Biomechanical Engineering 2010, 132:121010. (13 p).
41. Ogden R.W. Non-Linear Elastic Deformations 1997, 532. Dover, Mineola, NY.
42. Perez de Isla L., Balcones D.V., Fernandez-Golfin C., Marcos-Alberca P., Almeria C., Rodrigo J., Macaya C., Zamorano J. Three-dimensional-wall motion tracking: a new and faster tool for myocardial strain assessment: comparison with two-dimensional-wall motion tracking. Journal of the American Society of Echocardiography 2009, 22:325-330.
43. Pottier T., Toussaint F., Vacher P. Contribution of heterogeneous strain field measurements and boundary conditions modelling in inverse identification of material parameters. European Journal of Mechanics-A/Solids 2011, 30(3):373-382.
44. Raghu R., Vignon-Clementel I.E., Figueroa C.A., Taylor C.A. Comparative study of viscoelastic arterial wall models in nonlinear one-dimensional finite element simulations of blood flow. Journal of Biomechanical Engineering 2011, 133(8):81003.
45. Rajagopal V., Chung J.-H., Bullivant D., Nielsen P.M.F., Nash M.P. Determining the finite elasticity reference state from a loaded configuration. International Journal for Numerical Methods in Engineering 2007, 72:1434-1451.
46. Saito K., Okura H., Watanabe N., Hayashida A., Obase K., Imai K., Maehama T., Kawamoto T., Neishi Y., Yoshida K. Comprehensive evaluation of left ventricular strain using speckle tracking echocardiography in normal adults: comparison of three-dimensional and two-dimensional approaches. Journal of the American Society of Echocardiography 2009, 22:1025-1030.
47. Schulze-Bauer C., Morth C., Holzapfel G. Passive biaxial mechanical response of aged human iliac arteries. Journal of Biomechanical Engineering 2003, 125:395-406.
48. Sellier M. An iterative method for the inverse elasto-static problem. Journal of Fluids and Structures 2011, 27:1461-1470.
49. Seo Y., Ishizu T., Enomoto Y., Sugimori H., Yamamoto M., Machino T., Kawamura R., Aonuma K. Validation of 3-dimensional speckle tracking imaging to quantify regional myocardial deformation. Circulation: Cardiovascular Imaging 2009, 2:451-459.
50. Silber G., Steinwender F. Bauteilberechnung und Optimierung mit der FEM: Materialtheorie, Anwendungen, Beispiele 2005, 460. Teubner, Stuttgart. first ed.
51. Studer H., Riedwyl H., Büchler P. Importance of multiple loading scenarios for the identification of material coefficients of the human cornea. Computer Methods in Biomechanics and Biomedical Engineering 2012, 15:93-99.
52. Taylor C.A., Figueroa C.A. Patient-specific modeling of cardiovascular mechanics. Annual Review of Biomedical Engineering 2009, 11:109-134.
53. Thebault C., Donal E., Bernard A., Moreau O., Schnell F., Mabo P., Leclercq C. Real-time three-dimensional speckle tracking echocardiography: a novel technique to quantify global left ventricular mechanical dyssynchrony. European Journal of Echocardiography 2011, 12:26-32.
54. Thubrikar M. Vascular Mechanics and Pathology 2007, 520. Springer, New York.
55. Valdez-Jasso D., Bia D., Zocalo Y., Armentano R.L., Haider M.A., Olufsen M.S. Linear and nonlinear viscoelastic modeling of aorta and carotid pressure-area dynamics under in vivo and ex vivo conditions. Annals of Biomedical Engineering 2011, 39(5):1438-1456.
56. Vande Geest J.P., Sacks M.S., Vorp D.A. Age dependency of the biaxial biomechanical behavior of human abdominal aorta. Journal of Biomechanical Engineering 2004, 126(6):815-822.
57. Vorp D.A. Biomechanics of abdominal aortic aneurysm. Journal of Biomechanics 2007, 40(9):1887-1902.
58. Weisbecker H., Pierce D.M., Regitnig P., Holzapfel G.A. Layer-specific damage experiments and modeling of human thoracic and abdominal aortas with non-atherosclerotic intimal thickening. Journal of the Mechanical Behavior of Biomedical Materials 2012, 12:93-106.
59. Zhao X., Raghavan M.L., Lu J. Characterizing heterogeneous properties of cerebral aneurysms with unknown stress-free geometry: a precursor to in vivo identification. Journal of Biomechanical Engineering 2011, 133:51008.
60. Zhou X., Lu J. Inverse formulation for geometrically exact stress resultant shells. International Journal for Numerical Methods in Engineering 2008, 74:1278-1302.
61. Zulliger M.A., Stergiopulos N. Structural strain energy function applied to the ageing of the human aorta. Journal of Biomechanics 2007, 40(14):3061-3069.