The orthotropic viscoelastic behavior of aortic elastin

Biomechanics and Modeling in Mechanobiology

Volumn 10, Issue 5, 2011, Pages 613-625

  Zou, Yu ^a   Zhang, Yanhang ^a  

^a Boston University   (United States)

Author keywords

Biaxial tensile test; Constitutive model; Elastin; Orthotropic hyperelasticity; Stress relaxation; Viscoelasticity

Indexed keywords

BIAXIAL TENSILE TESTS; COMBINED MODELING; CREEP RESPONSE; DECELLULARIZED; ELASTIN; EXPERIMENTAL APPROACHES; INITIAL STRESS; MICROSTRUCTURAL MODELS; ORTHOTROPIC HYPERELASTICITY; QUASI-LINEAR VISCOELASTICITY; STRESS LEVELS; TIME DEPENDENT BEHAVIOR; USER MATERIAL SUBROUTINE; VISCOELASTIC BEHAVIORS;

BLOOD VESSELS; CONSTITUTIVE MODELS; CREEP; ELASTICITY; FINITE ELEMENT METHOD; STATISTICAL MECHANICS; STRESS RELAXATION; TENSILE TESTING; VISCOELASTICITY; VISCOSITY;

GLYCOPROTEINS;

ELASTIN;

ANIMAL; AORTA; ARTICLE; FINITE ELEMENT ANALYSIS; METABOLISM; SCANNING ELECTRON MICROSCOPY; SWINE; TENSILE STRENGTH; THEORETICAL MODEL; VISCOSITY;

ANIMALS; AORTA; ELASTIN; FINITE ELEMENT ANALYSIS; MICROSCOPY, ELECTRON, SCANNING; MODELS, THEORETICAL; SWINE; TENSILE STRENGTH; VISCOSITY;

EID: 81155151452     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-010-0260-4     Document Type: Article

References (79)

1. Agabiti-Rosei E, Portei E, Rizzoni D (2009) Arterial stiffness, hypertension, and rational use of nebivolol. Vasc Health Risk Manag 5:353-360.
2. Atkinson TS, Ewers BJ, Haut RC (1999) The tensile and stress relaxation responses of human patellar tendon varies with specimen cross-sectional area. J Biomec 32:907-914. (Pubitemid 29324970)
3. Bader A, Schilling T, Teebken OE, Brandes G, Herden T, Steinhoff G, Haverich A (1998) Tissue engineering of heart valves-human endothelial cell seeding of detergent acellularized porcine valves. Eur J Cardiothorac Surg 14:279-284. (Pubitemid 28417083)
4. Bergstrom JS, Boyce MC (2001) Constitutive modeling of the timedependent and cyclic loading of elastomers and application to soft biological tissues. Mech Mater 33:523-530. (Pubitemid 32776195)
5. Best TM,McElhaney J, Garret WE, Myers BS (1994) Characterization of the passive responses of live skeletal muscle using the quasilinear theory of viscoelasticity. J Biomec 27:413-419. (Pubitemid 24102054)
6. Bischoff JE, Arruda EM, Grosh K (2002) Orthotropic hyperelasticity in terms of an arbitrary molecular chain model. J Appl Mech 69: 198-201. (Pubitemid 35202568)
7. Bischoff JE, Arruda EM, Grosh K (2004) A rheological networkmodel for the continuum anisotropic and viscoelastic behavior of soft tissue. Biomech Model Mechanobiol 3:56-65. (Pubitemid 40265581)
8. Bischoff JE (2006) Reduced parameter formulation for incorporating fiber level viscoelasticity into tissue level biomechanical models. Ann Biomed Eng 34:1164-1172. (Pubitemid 44078481)
9. Boutouyrie P, Laurent S, Briet M (2008) Importance of arterial stiffness as cardiovascular risk factor for future development of new type of drugs. Fundam Clin Pharmacol 22:241-246. (Pubitemid 351712895)
10. Boyce BL, Jones RE, Nguyen TD, Grazier JM (2007) Stress-controlled viscoelastic tensile response of bovine cornea. J Biomec 40:2367-2376. (Pubitemid 47081028)
11. Cameron JD, Bulpitt CJ, Pinto ES, Rajkumar C (2003) The aging of elastic and muscular arteries: A comparison of diabetic and nondiabetic subjects. Diabetes Care 26:2133-2140.
12. Campa JS, Greenhalgh RM, Powell JT (1987) Elastin degradation in abdominal aortic aneurysms. Atherosclerosis 65:13-21. (Pubitemid 17065424)
13. Carew EO, Talman EA, Boughnew DR, Vesely I (1999) Quasi-linear viscoelastic theory applied to internal shearing of porcine aortic valve leaflets. J Biomech Eng 121:386-392.
14. Carew EO, Barber JE, Vesely I (2000) Role of preconditioning and recovery time in repeated testing of aortic valve tissues: validation through quasi-linear viscoelastic theory. Ann Biomed Eng 28:1093-1100. (Pubitemid 32085797)
15. Carew EO, Garg A, Barber JE ,Vesely I (2004) Stress relaxation preconditioning of porcine aortic valves. Ann Biomed Eng 32:563-572.
16. Chung AW, Yang HH, Sigrist MK, Brin G, Chum E, Gourlay WA, Levin A (2009) Matrix metalloproteinase-2 and -9 exacerbate arterial stiffening and angiogenesis in diabetes and chronic kidney disease. Cardiovasc Res. doi:10.1093/cvr/cvp242.
17. Cox RH (1978) Passive mechanics and connective tissue composition of canine arteries. Am J Physiol Heart Circ Physiol 234:H533-H541. (Pubitemid 9158736)
18. Daamen WF, Veerkamp JH, van Hest JCM, van Kuppevelt TH (2007) Elastin as a biomaterial for tissue engineering. Biomaterials 28:4378-4398. (Pubitemid 47212414)
19. Diez J (2007) Arterial stiffness and extracellular matrix. Adv Cardiol 44:76-95. (Pubitemid 44763901)
20. Doehring TC, Carew EO, Vesely I (2004) The effect of strain rate on the viscoelastic response of aortic valve tissue: A direct-fit approach. Ann Biomed Eng 32:223-232.
21. Fonck E, Prod'hom G, Roy S ,Augsburger L, Rufenacht DA, Stergiopulos N (2007) Effect of elastin degradation on carotid wall mechanics as assessed by a constituent-based biomechanical model. Am J Physiol Heart Circ Physiol 292:H2754-H2763. (Pubitemid 47084524)
22. Fung YC (1993) Biomechanics: mechanical properties of living tissues. Springer, New York
23. Geest JPV, Sacks MS, Vorp DA (2006) The effects of aneurysm on the biaxial mechanical behavior of human abdominal aorta. J Biomec 39:1324-1334.
24. Giles JM, Black AE, Bischoff JE (2007) Anomalous rate dependence of the preconditioned response of soft tissue during load controlled deformation. J Biomec 40:777-785. (Pubitemid 46273467)
25. Gosline JM (1976) The physical properties of elastic tissue. Int Rev Connect Tissue Res 7:211-249.
26. Grashow JS, Sacks MS, Liao J, Yoganathan AP (2006) Planar biaxial creep and stress relaxation of the mitral valve anterior leaflet. Ann Biomed Eng 34:1509-1518.
27. Guinea GV, Atienza JM, Elices M, Aragoncillo P, Hayashi K (2005) Thermomechanical behavior of human carotid arteries in the passive state. Am J Physiol Heart Circ Physiol 288:H2940-H2945. (Pubitemid 40720678)
28. Gundiah N, Ratcliffe MB, Pruitt LA (2009) The biomechanics of arterial elastin. J Mech Behav Biomed Mater 2:288-296.
29. Gundiah N, Ratcliffe MB, Pruitt LA (2007) Determination of strain energy function for arterial elastin: Experiments using histology and mechanical tests. J Biomec 40:586-594. (Pubitemid 46107448)
30. Guo X, Kassab GS (2004) Distribution of stress and strain along the porcine aorta and coronary arterial tree. Am J Physiol Heart Circ Physiol 286:H2361-H2368. (Pubitemid 38685253)
31. Hingorani RV, Provenzano PP, Lakes RS, Escarcega A, Vanderby RJr (2004) Nonlinear viscoelasticity in rabbit medial collateral ligament. Ann Biomed Eng 32:306-312.
32. Holzapfel GA (2000) Nonlinear solid mechanics: A continuum approach for engineering. Wiley, Chichester
33. Holzapfel GA, Gasser TC, Stadler M (2002) A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Eur J Mech A Solids 21:441-463.
34. Huang CY, Wang VM, Flatow EL, Mow VC (2009) Temperature dependent viscoelastic properties of the human supraspinatus tendon. J Biomec 42:546-549.
35. Humphrey JD (2002) Cardiovascular solid mechanics: cells, tissues, and organs. Springer, New York
36. Jhun CS, Evans MC, Barocas VH, Tranquillo RT (2009) Planar biaxial mechanical behavior of bioartificial tissues possessing prescribed fiber alignment. J Biomech Eng 131:081006.
37. Johnson GA, Tramaglini DM, Levine RE, Ohno K, Choi NY, Woo SL (1994) Tensile and viscoelastic properties of human patellar tendon. J Orthop Res 12:796-803. (Pubitemid 24377729)
38. Kang T, Resar J, Humphrey JD (1995) Heat-induced changes in the mechanical behavior of passive coronary arteries. J Biomech Eng 117:86-93.
39. Knauss WG, Emri IJ (1981) Non-linear viscoelasticity based on free volume consideration. Comput Struct 13:123-128. (Pubitemid 11504724)
40. Knezevic V, Sim AJ, Borg TK, Holmes JW (2002) Isotonic biaxial loading of fibroblast-populated collagen gels: A versatile, lowcost system for the study of mechanobiology. Biomech Model Mechanobiol 1:59-67.
41. Kwan MK, Li THD, Woo SLY (1993) On the viscoelastic properties of the anteromedial bundle of the anterior cruciate ligament. J Biomec 26:47-452.
42. Lally C, Reid AJ, Prendergast PJ (2004) Elastic behavior of porcine coronary artery tissue under uniaxial and equibiaxial tension. Ann Biomed Eng 32:1355-1364.
43. Liao J, Vesely I (2004) Relationship between collagen fibrils, glycosaminoglycans, and stress relaxation in mitral valve chordae tendineae. Ann Biomed Eng 32:977-983.
44. Liao J, Yang L, Grashow J, Sacks MS (2007) The relationship between collagen fibril kinematics and mechanical properties in the mitral valve anterior leaflet. J Biomech Eng 129:78-87. (Pubitemid 46722311)
45. Lillie MA, Gosline JM (1990) The effects of hydration on the dynamic mechanical properties of elastin. Biopolymers 29:1147-1160. (Pubitemid 20177486)
46. Lillie MA, Gosline JM (1996) Swelling and viscoelastic properties of osmotically stressed elastin. Biopolymers 39:641-693.
47. Lillie MA, Gosline JM (2002) The viscoelastic basis for the tensile strength of elastin. Int J Biol Macromol 30:119-127. (Pubitemid 34242691)
48. Lillie MA, Gosline JM (2007) Limits to the durability of arterial elastic tissue. Biomaterials 28:2021-2031. (Pubitemid 46176179)
49. Lu Q, Ganesan K, Simionescu DT, Vyavahare NR (2004) Novel porous aortic elastin and collagen scaffolds for tissue engineering. Biomaterials 25:5227-5237. (Pubitemid 38521163)
50. Lyerla JR Jr , Torchia DA (1975) Molecular mobility and structure of elastin deduced from the solvent and temperature dependence of 13C magnetic resonance relaxation data. Biochemistry 14:5175-5183.
51. MacSweeney STR, Young G, Greenhalgh RM, Powell JT (1992) Mechanical properties of the aneurismal aorta. Br J Surg 79:1281-1284.
52. MacSweeney STR, Powell JT, Greenhalgh RM (1994) Pathogenesis of abdominal aortic aneurysms. Br J Surg 81:935-941.
53. Mow VC, Kuei SC, Lai WM, Armstrong CG (1980) Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng 102:73-84. (Pubitemid 11082099)
54. Nagatomi J, Toosi KK, Chancellor MB, Sacks MS (2008) Contribution of the extracellular matrix to the viscoelastic behavior of the urinary bladder wall. Biomech Model Mechanobiol 7:395-404.
55. Nagatomi J, Gloeckner DC, Chancellor MB, DeGroat WC, Sacks MS (2004) Changes in the biaxial viscoelastic response of the urinary bladder following spinal cord injury. Ann Biomed Eng 32:1409-1419.
56. Nguyen TD, Jones RE, Boyce BL (2008) A nonlinear anisotropic viscoelastic model for the tensile behavior of the corneal stroma. J Biomech Eng 130:041020.
57. Öhman C, Baleani M, Viceconti M (2009) Repeatability of experimental procedures to determine mechanical behavior of ligaments. Acta Bioeng Biomech 11:19-23.
58. Provenzano P, Lakes R, Keenan T, Vanderby R Jr, (2001) Nonlinear ligament viscoelasticity. Ann Biomed Eng 29:908-914. (Pubitemid 33147207)
59. Puso MA, Weiss JA (1998) Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng 120:62-70. (Pubitemid 28110440)
60. Sacks MS, SunW (2003) Multiaxial mechanical behavior of biological materials. Ann Rev Biomed Eng 5:251-284. (Pubitemid 40125313)
61. Satta J, Laurila A, Pääkkö P, Haukipuro K, Sormunen R, Parkkila S, Juvonen T (1998) Chronic inflammation and elastin degradation in abdominal aortic aneurysm disease: an immunohistochemical and electronmicroscopic study. Eur J Vasc Endovasc Surg 15:313-319. (Pubitemid 28205989)
62. Sauren AAHJ, van Hout MC, van Steenhoven AA, Veldpaus FE, Janssen JD (1983) The mechanical properteies of porcine aortic valve tissues. J Biomec 16:327-337. (Pubitemid 13036575)
63. Silver FH, Horvath I, Foran DJ (2001) Viscoelasticity of the vessel wall: the role of collagen and elastic fibers. Crit Rev Biomed Eng 29:279-301. (Pubitemid 33072099)
64. Soulhat J, Buschmann MD, Shirazi-Adl A (1999) A fibril-networkreinforced biphasic model of cartilage in unconfined compression. J Biomech Eng 121:340-347. (Pubitemid 29318310)
65. Spina M, Friso A, Ewins AR, Parker KH, Winlove CP (1999) Physicochemical properties of arterial elastin and its associated glycoproteins. Biopolymers 49:255-265. (Pubitemid 29075928)
66. Stella JA, Liao J, Sacks MS (2007) Time-dependent biaxialmechanical behavior of the aortic heart valve leaflet. J Biomec 40:3169-3177. (Pubitemid 47532092)
67. Stephens EH, Chu CK, Grande-Allen KJ (2008) Valve proteoglycan content and glycosaminoglycan fine structure are unique to microstructure, mechanical load and age: relevance to an age-specific tissue-engineered heart valve. Acta Biomaterialia 4:1148-1160.
68. Stergiopulos N, Vulliemoz S, Rachev A, Meister J-J, Greenwald SE (2001) Assessing the homogeneity of the elastic properties and composition of the pig aortic media. J Vasc Res 38:237-246. (Pubitemid 32588836)
69. Sverdlik A, Lanir Y (2002) Time-dependent mechanical behavior of sheep digital tendons, including the effects of preconditioning. J Biomech Eng 124:78-84. (Pubitemid 34165118)
70. Thornton GM, Oliynyk A, Frank CB, Shrive NG (1997) Ligament creep cannot be predicted from stress relaxation at low stress: A biomechanical study of the rabbit medial collateral ligament. J Orthop Res 15:652-656. (Pubitemid 28018989)
71. Thornton GM, Frank CB, Shrive NG (2001) Ligament creep behavior can be predicted from stress relaxation by incorporating fiber recruitment. J Rheol 45:493-507. (Pubitemid 32371964)
72. Uitto J (1979) Biochemistry of the elastic fibers in normal connective tissues and its alterations in diseases. J Invest Dermatol 72:1-10. (Pubitemid 9107984)
73. von Maltzahn WW, Warriyar RG (1984) Experimental measurement of elastic properties ofmedia and adventitia of bovine carotid arteries. J Biomech 17:839-847. (Pubitemid 15166461)
74. Weinberg PD, Winlove CP, Parker KH (1995) The distribution of water in arterial elastin: effects of mechanical stress, osmotic pressure, and temperature. Biopolymers 35:161-169.
75. Williams C, Liao J, Joyce EM, Wang B, Leach JB, Sacks MS, Wong JY (2009) Altered structural and mechanical properties in decellularized rabbit carotid arteries. Acta Biomaterialia 5:993-1005.
76. Winlove CP, Parker KH (1990) Connective tissue matrix II. In: Hukins DWL (ed) MacMillan, London, chap 7.
77. Yin FCP, Chew PH, Zeger SL (1986) An approach to quantification of biaxial tissue stress-strain data. J Biomec 19:27-37. (Pubitemid 16153616)
78. Zhang Y, Dunn ML, Drexler ES, McCowan CN, Slifka AJ, Ivy DD, Shandas R (2005) A microstructural hyperelastic model of pulmonary arteries under normo- and hypertensive conditions. Ann Biomed Eng 33:1042-1052. (Pubitemid 41165008)
79. Zou Y, Zhang Y (2009) An experimental and theoretical study on the anisotropy of elastin network. Ann Biomed Eng 37:1572-1583