3D constitutive modeling of the biaxial mechanical response of intact and layer-dissected human carotid arteries

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 5, Issue 1, 2012, Pages 116-128

  Sommer, Gerhard ^a   Holzapfel, Gerhard A ^a,b  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Adventitia; Human carotid artery; Material parameter; Mechanical properties; Media intima; Strain energy function

Indexed keywords

ADVENTITIA; HUMAN CAROTID ARTERY; MATERIAL PARAMETER; MEDIA-INTIMA; STRAIN ENERGY FUNCTIONS;

FINITE ELEMENT METHOD; MECHANICAL PROPERTIES; NANOCOMPOSITE FILMS; STRAIN ENERGY; TISSUE;

THREE DIMENSIONAL;

ADVENTITIA; ARTICLE; CAROTID ARTERY; FINITE ELEMENT ANALYSIS; HUMAN; HUMAN TISSUE; KINEMATICS; MECHANICAL STRESS; MECHANICS; PRIORITY JOURNAL; SIMULATION; THREE DIMENSIONAL STRAIN ENERGY MODEL;

AGED; AGED, 80 AND OVER; BIOMECHANICS; CAROTID ARTERIES; FEMALE; FINITE ELEMENT ANALYSIS; HUMANS; MALE; MECHANICAL PROCESSES; MODELS, BIOLOGICAL; PRESSURE; STRESS, MECHANICAL;

EID: 81455131554     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2011.08.013     Document Type: Article

References (37)

1. Canham P.B., Talman E.A., Finlay H.M., Dixon J.G. Medial collagen organization in human arteries of the heart and brain by polarized light microscopy. Connect. Tissue Res. 1991, 26:121-134.
2. Cheng G.C., Loree H.M., Kamm R.D., Fishbein M.C., Lee R.T. Distribution of circumferential stress in ruptured and stable atherosclerotic lesions: a structural analysis with histopathological correlation. Circulation 1993, 87:1179-1187.
3. Chuong C.J., Fung Y.C. On residual stress in arteries. J. Biomech. Eng. 1986, 108:189-192.
4. Chuong C.J., Fung Y.C. Three-dimensional stress distribution in arteries. J. Biomech. Eng. 1983, 105:268-274.
5. Coward L.J., Featherstone R.L., Brown M.M. Percutaneous transluminal angioplasty and stenting for carotid artery stenosis (review). The Cochrain Database of Systematic Reviews 2004 2006, 2:1-18.
6. Demiray H. A note on the elasticity of soft biological tissues. J. Biomech. 1972, 5:309-311.
7. Finlay H.M., McCullough L., Canham P.B. Three-dimensional collagen organization of human brain arteries at different transmural pressures. J. Vasc. Res. 1995, 32:301-312.
8. Fung Y.C. Biomechanics. Mechanical Properties of Living Tissues 1993, Springer-Verlag, New York. 2nd ed.
9. Fung Y.C., Fronek K., Patitucci P. Pseudoelasticity of arteries and the choice of its mathematical expression. Am. J. Physiol. 1979, 237:H620-H631.
10. Fung Y.C., Liu S.Q. Change of residual strains in arteries due to hypertrophy caused by aortic constrictions. Circ. Res. 1989, 65:1340-1349.
11. Gasser T.C., Ogden R.W., Holzapfel G.A. Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. J. R. Soc. Interface 2006, 3:15-35.
12. Guinea G.V., Atienza J.M., Elices M., Aragoncillo P., Hayashi K. Thermomechanical behavior of human carotid arteries in the passive state. Am. J. Physiol. Heart Circ. Physiol. 2005, 288:2940-2945.
13. Gupta B.S., Kasyanov V.A. Biomechanics of human common carotid artery and design of novel hybrid textile compliant vascular grafts. J. Biomed. Mater. Res. A 1997, 24:341-349.
14. Hayashi K. Experimental approaches on measuring the mechanical properties and constitutive laws of arterial walls. J. Biomech. Eng. 1993, 115:481-488.
15. Holzapfel G.A. Nonlinear Solid Mechanics. A Continuum Approach for Engineering 2000, John Wiley & Sons, Chichester.
16. Holzapfel G.A., Gasser T.C., Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity 2000, 61:1-48.
17. Holzapfel G.A., Gasser T.C., Ogden R.W. Comparison of a multi-layer structural model for arterial walls with a Fung-type model, and issues of material stability. J. Biomech. Eng. 2004, 126:264-275.
18. Holzapfel G.A., Ogden R.W. Constitutive modelling of arteries. Proc. R. Soc. Lond. A 2010, 466:1551-1597.
19. Holzapfel G.A., Sommer G., Auer M., Regitnig P., Ogden R.W. Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening. Ann. Biomed. Eng. 2007, 35:530-545.
20. Holzapfel G.A., Sommer G., Gasser C.T., Regitnig P. Determination of the layer-specific mechanical properties of human coronary arteries with non-atherosclerotic intimal thickening, and related constitutive modelling. Am. J. Physiol. Heart Circ. Physiol. 2005, 289:H2048-2058.
21. Humphrey J.D. An evaluation of pseudoelastic descriptors used in arterial mechanics. J. Biomech. Eng. 1999, 121:259-262.
22. Humphrey J.D. Continuum biomechanics of soft biological tissues. Proc. R. Soc. Lond. A 2003, 459:1-44.
23. Kasyanov V., Ozolanta I., Purinya B., Ozols A., Kancevich V. Compliance of a biocomposite vascular tissue in longitudinal and circumferential directions as a basis for creation of artificial substitutes. Mech. Comp. Mat. 2003, 39:347-358.
24. Marquardt D.W. An algorithm for least-aquares estimation of nonlinear parameters. SIAM J. Appl. Math. 1963, 11:431-441.
25. Richardson P.D. Biomechanics of plaque rupture: progress, problems, and new frontiers. Ann. Biomed. Eng. 2002, 30:524-536.
26. Samila Z.J., Carter S.A. The effect of age on the unfolding of elastin lamellae and collagen fibers with stretch in human carotid arteries. Can. J. Physiol. Pharmacol. 1981, 59:1050-1057.
27. Schriefl, A.J., Zeindlinger, G., Pierce, D.M., Regitnig, P., Holzapfel, G.A., 2011. Determination of the layer-specific distributed collagen fiber orientations in human thoracic and abdominal aortas and common iliac arteries (in press).
28. Schulze-Bauer C.A.J., Regitnig P., Holzapfel G.A. Mechanics of the human femoral adventitia including high-pressure response. Am. J. Physiol. Heart Circ. Physiol. 2002, 282:H2427-H2440.
29. Sommer G., Regitnig P., Költringer L., Holzapfel G.A. Biaxial mechanical properties of intact and layer-dissected human carotid arteries at physiological and supra-physiological loadings. Am. J. Physiol. Heart Circ. Physiol. 2010, 298:H898-H912.
30. Stemper B.D., Yoganandan N., Pintar F.A. Methodology to study intimal failure mechanics in human internal carotid arteries. J. Biomech. 2005, 38:2491-2496.
31. Takamizawa K., Hayashi K. Strain energy density function and uniform strain hypothesis for arterial mechanics. J. Biomech. 1987, 20:7-17.
32. Vaishnav R.N., Vossoughi J. Estimation of residual strains in aortic segments. Biomedical Engineering II: Recent Developments 1983, 330-333. Pergamon Press, New York. C.W. Hall (Ed.).
33. Volokh K.Y. Stresses in growing soft tissues. Acta Biomater. 2006, 2:493-504.
34. Wu W., Qi M., Liu X.P., Yang D.Z., Wang W.Q. Delivery and release of nitinol stent in carotid artery and their interactions: a finite element analysis. J. Biomech. 2007, 40:3034-3040.
35. Yadav J.S., Wholey M.H., Kuntz R.E., Fayad P., Katzen B.T., Mishkel G.J., Bajwa T.K., Whitlow P., Strickman N.E., Jaff M.R., Popma J.J., Snead D., Cutlip D.E., Firth B.G., Ouriel K. Protected carotid-artery stenting versus endarterectomy in high-risk patients. N. Engl. J. Med. 2004, 351:1493-1501.
36. Younis H.F., Kaazempur-Mofrad M.R., Chan C., Isasi A.G., Hinton D.P., Chau A.H., Kim L.A., Kamm R.D. Hemodynamics and wall mechanics in human carotid bifurcation and its consequences for atherogenesis: investigation of inter-individual variation. Biomech. Model. Mechanobiol. 2004, 3:17-32.
37. Zulliger M.A., Fridez P., Hayashi K., Stergiopulos N. A strain energy function for arteries accounting for wall composition and structure. J. Biomech. 2004, 37:989-1000.