Planar biaxial creep and stress relaxation of the mitral valve anterior leaflet

Annals of Biomedical Engineering

Volumn 34, Issue 10, 2006, Pages 1509-1518

  Grashow, Jonathan S ^a,b   Sacks, Michael S ^a,b   Liao, Jun ^a,b   Yoganathan, Ajit P ^c  

^a University of Pittsburgh   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Biaxial mechanical properties; Biaxial tension; Creep; Heart valves; Mitral valve; Soft tissue biomechanics; Stress relaxation

Indexed keywords

BIAXIAL MECHANICAL PROPERTIES; BIAXIAL TENSIONS; HEART VALVES; MITRAL VALVES; SOFT TISSUE BIOMECHANICS;

CREEP; HEART; LOADING; MECHANICAL PROPERTIES; STRESS RELAXATION; STRESS-STRAIN CURVES; TISSUE;

BIOMECHANICS;

ANIMAL; ANISOTROPY; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; BIOMEDICAL ENGINEERING; ELASTICITY; HISTOLOGY; IN VITRO STUDY; MECHANICAL STRESS; MITRAL VALVE; PHYSIOLOGY; SWINE;

ANIMALS; ANISOTROPY; BIOMECHANICS; BIOMEDICAL ENGINEERING; ELASTICITY; MITRAL VALVE; MODELS, CARDIOVASCULAR; STRESS, MECHANICAL; SUS SCROFA;

EID: 34248161234     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-006-9183-8     Document Type: Article

References (48)

1. Accola, K. D., M. L. Scott, P. A. Thompson, G. J. Palmer, M. E. Sand, and G. Ebra. Midterm outcomes using the physio ring in mitral valve reconstruction: experience in 492 patients. Ann Thorac Surg 79(4):1276-1283, 2005: discussion 1276-1283.
2. Baptist Health Foundation, I. The Autonomic Disorders Mitral Valve Prolapse Center, Webspace Enterprises. 2005, 2003.
3. Butler, D. L., S. A. Goldstein, and F. Guilak. Functional tissue engineering: the role of biomechanics. J Biomech Eng 122(6):570-575, 2000.
4. Cohn, L. H., G. S. Couper, S. F. Aranki, R. J. Rizzo, D. H. Adams, and J. J. Collins Jr. The long-term results of mitral valve reconstruction for the floppy valve. J Card Surg 9(2 Suppl):278-281, 1994.
5. Cole, W. G., D. Chan, A. J. Hickey, and D. E. Wilcken. Collagen composition of normal and myxomatous human mitral heart valves. Biochem J 219(2):451-460, 1984.
6. David, T. E., S. Armstrong, Z. Sun, and L. Daniel. Late results of mitral valve repair for mitral regurgitation due to degenerative disease. Ann Thorac Surg 56(1):7-12, 1993: discussion 13-14.
7. Dunn, M. G., and F. H. Silver. Viscoelastic behavior of human connective tissues: relative contribution of viscous and elastic components. Connect Tissue Res 12(1):59-70, 1983.
8. Einstein, D. R., K. S. Kunzelman, P. G. Reinhall, R. P. Cochran, and M. A. Nicosia. Haemodynamic determinants of the mitral valve closure sound: a finite element study. Med Biol Eng Comput 42(6):832-846, 2004.
9. Enriquez-Sarano, M., J. F. Avierinos, D. Messika-Zeitoun, D. Detaint, M. Capps, V. Nkomo, C. Scott, H. V. Schaff, and A. J. Tajik. Quantitative determinants of the outcome of asymptomatic mitral regurgitation. N Engl J Med 352(9):875-883, 2005.
10. Fasol, R., J. Meinhart, M. Deutsch, and T. Binder. Mitral valve repair with the Colvin-Galloway Future Band. Ann Thorac Surg 77(6):1985-1988, 2004: discussion 1988.
11. Flameng, W., P. Herijgers, and K. Bogaerts. Recurrence of mitral valve regurgitation after mitral valve repair in degenerative valve disease. Circulation 107(12):1609-1613, 2003.
12. Fung, Y. C. Biomechanics: Mechanical Properties of Living Tissues. Springer Verlag, New York.
13. Gillinov, A. M., D. M. Cosgrove3rd, T. Shiota, J. Qin, H. Tsujino, W. J. Stewart, J. D. Thomas, M. Porqueddu, J. A. White, and E. H. Blackstone. Cosgrove-Edwards Annuloplasty System: midterm results. Ann Thorac Surg 69(3):717-721, 2000.
14. Gillinov, A. M., D. M. Cosgrove, E. H. Blackstone, R. Diaz, J. H. Arnold, B. W. Lytle, N. G. Smedira, J. F. Sabik, P. M. McCarthy, and F. D. Loop. Durability of mitral valve repair for degenerative disease. J Thorac Cardiovasc Surg 116(5):734-743, 1998.
15. Grashow, J. S., A. P. Yoganathan, and M. S. Sacks. Biaxial stress-stretch behavior of the mitral valve anterior leaflet at physiologic strain rates. Ann Biomed Eng 34(2):315-325, 2006.
16. Haut, R.C. Age-dependent influence of strain rate on the tensile failure of rat-tail tendon. J Biomech Eng 105(3):296-299, 1983.
17. Kontos, J., V. Papademetriou, K. Wachtell, V. Palmieri, J. E. Liu, E. Gerdts, K. Boman, M. S. Nieminen, B. Dahlof, and R. B. Devereux. Impact of valvular regurgitation on left ventricular geometry and function in hypertensive patients with left ventricular hypertrophy: the LIFE study. J Hum Hypertens 18(6):431-436, 2004.
18. Kunzelman, K. S., R. P. Cochran, C. Chuong, W. S. Ring, E. D. Verrier, and R. D. Eberhart. Finite element analysis of the mitral valve. J Heart Valve Dis 2(3):326-340, 1993.
19. Lam, J. H., N. Ranganathan, E. D. Wigle, and M. D. Silver. Morphology of the human mitral valve. I. Chordae tendineae: a new classification. Circulation 41(3):449-458, 1970.
20. Lee, J., S. Haberer, C. Pereira, W. Naimark, D. Courtman, and G. Wilson. High Strain Rate Testing and Structural Analysis of Pericardial Bioprosthetic Materials. Biomaterials' Mechanical Properties. H. Kambic and A. Yokobori. Philadelphia, ASTM. STP 1173:19-42, 1994.
21. Lee, J. M., and D. R. Boughner. Mechanical properties of human pericardium. Differences in viscoelastic response when compared with canine pericardium. Circ Res 57(3):475-481, 1985.
22. Lee, J. M., D. W. Courtman, and D. R. Boughner. The glutaraldehyde- stabilized porcine aortic valve xenograft. I. Tensile viscoelastic properties of the fresh leaflet material. J Biomed Mater Res 18(1):61-77, 1984.
23. Lee, J. M., D. W. Courtman, and D. R. Boughner. The glutaraldehyde- stablized porcine aortic valve xenograft. I. Tensile viscoelastic properties of the fresh leaflet material. Journal of Biomedical Materials Research 18:61-77, 1984.
24. Leeson-Dietrich, J., D. Boughner, and I. Vesely. Porcine Pulmonary and Aortic Valves: A Comparison of Their Tensile Viscoelastic Properties at Physiological Strain Rates. The Journal of Heart Valve Disease 4:88-94, 1995.
25. Liao, J., and I. Vesely. Relationship between collagen fibrils, glycosaminoglycans, and stress relaxation in mitral valve chordae tendineae. Ann Biomed Eng 32(7):977-983, 2004.
26. Lim, K. H., J. H. Yeo, and C. M. Duran. Three-dimensional asymmetrical modeling of the mitral valve: a finite element study with dynamic boundaries. J Heart Valve Dis 14(3):386-392, 2005.
27. Ling, L. H., M. Enriquez-Sarano, J. B. Seward, A. J. Tajik, H. V. Schaff, K. R. Bailey, and R. L. Frye. Clinical outcome of mitral regurgitation due to flail leaflet. N Engl J Med 335(19):1417-1423, 1996.
28. Lis, Y., M. C. Burleigh, D. J. Parker, A. H. Child, J. Hogg, and M. J. Davies. Biochemical characterization of individual normal, floppy and rheumatic human mitral valves. Biochem J 244(3):597-603, 1987.
29. May-Newman, K., and F. C. Yin. Biaxial mechanical behavior of excised porcine mitral valve leaflets. Am J Physiol 269(4 Pt 2):H1319-H1327, 1995.
30. Merryman, W. D., H.-Y. S. Huang, F. J. Schoen, and M. S. Sacks. The effects of cellular contraction on aortic valve leaflet flexural stiffness. J Biomech 39(1):88-96, 2006.
31. Nagatomi, J., D. C. Gloeckner, M. B. Chancellor, W. C. DeGroat, and M. S. Sacks. Changes in the biaxial viscoelastic response of the urinary bladder following spinal cord injury. Ann Biomed Eng 32(10):1409-1419, 2004.
32. Naimark, W. A., J. M. Lee, H. Limeback, and D. Cheung. Correlation of structure and viscoelastic properties in the pericardia of four mammalian species. American Journal of Physiology 263(32):H1095-H1106, 1992.
33. Ormiston, J. A., P. M. Shah, C. Tei, and M. Wong. Size and motion of the mitral valve annulus in man. I. A twodimensional echocardiographic method and findings in normal subjects. Circulation 64(1):113-120, 1981.
34. Otto, C. M.. Valvular Heart Disease. Saunders, Philadelphia.
35. Pierard, L. A., and P. Lancellotti. The role of ischemic mitral regurgitation in the pathogenesis of acute pulmonary edema. N Engl J Med 351(16):1627-1634, 2004.
36. Provenzano, P., R. Lakes, T. Keenan, and R. Vanderby Jr. Nonlinear ligament viscoelasticity. Ann Biomed Eng 29(10):908-914, 2001.
37. Ranganathan, N., J. H. Lam, E. D. Wigle, and M. D. Silver. Morphology of the human mitral valve. II. The value leaflets. Circulation 41(3):459-67, 1970.
38. Rigby, R., N. Hiraj, J. Spikes, and H. Eyring. The mechanical properties of rat tail tendon. The J. General Physiol. 43:265-282, 1959.
39. Sacks, M.S. Biaxial mechanical evaluation of planar biological materials. J. Elasticity 61:199-246, 2000.
40. Sacks, M. S., Y. Enomoto, J. R. Graybill, W. D. Merryman, A. Zeeshan, A. P. Yoganathan, R. J. Levy, R. C. Gorman, J. H. Gorman, 3rd. In-vivo dynamic deformation of the mitral valve anterior leaflet. Annals Thoracic Surgery, In-press.
41. Sacks, M. S., Z. He, L. Baijens, S. Wanant, P. Shah, H. Sugimoto, and A. P. Yoganathan. Surface strains in the anterior leaflet of the functioning mitral valve. Annals Biomed Eng 30(10):1281-1290, 2002.
42. Salgo, I. S., J. H. Gorman3rd, R. C. Gorman, B. M. Jackson, F. W. Bowen, T. Plappert, M. G. St John Sutton, and L. H. Edmunds. Effect of annular shape on leaflet curvature in reducing mitral leaflet stress. Circulation 106(6):711-717, 2002.
43. Silverman, M. E., and J. W. Hurst. The mitral complex. Interaction of the anatomy, physiology, and pathology of the mitral annulus, mitral valve leaflets, chordae tendineae, and papillary muscles. Am Heart J 76(3):399-418, 1968.
44. Thornton, G. M., A. Oliynyk, C. B. Frank, and N. G. Shrive. Ligament creep cannot be predicted from stress relaxation at low stress: a biomechanical study of the rabbit medial collateral ligament. J Orthop Res 15(5):652-656, 1997.
45. Thornton, G. M., N. G. Shrive, and C. B. Frank. Ligament creep recruits fibres at low stresses and can lead to modulus-reducing fibre damage at higher creep stresses: a studyin rabbit medial collateral ligament model. J Orthop Res 20(5):967-974, 2002.
46. Vesely, I., D. R. Boughner, and J. Leeson-Dietrich. Bioprosthetic Valve Tissue Viscoelasticity: Implications on Accelerated Pulse Duplicator Testing. Annals Thoracic Surgery 60:S379-383, 1995.
47. Weinberg E. J. and M. R. Kaazempur Mofrad. A finite shell element for heart mitral valve leaflet mechanics, with large deformations and D constitutive material model. J Biomech, 2006.
48. Wells, P. B., J. L. Harris, and J. D. Humphrey. Altered mechanical behavior of epicardium under isothermal biaxial loading. J Biomech Eng 126(4):492-497, 2004.