Abstract
A fundamental assumption in mitral valve (MV) therapies is that a repaired or replaced valve should mimic the functionality of the native valve as closely as possible. Thus, improvements in valvular treatments are dependent on the establishment of a complete understanding of the function and mechanical properties of the native normal MV. In a recent study [Grashow et al. ABME 34(2), 2006] we demonstrated that the planar biaxial stress–strain relationship of the MV anterior leaflet (MVAL) exhibited minimal hysteresis and a stress–strain response independent of strain rate, suggesting that MVAL could be modeled as a “quasi-elastic” material. The objective of our current study was to expand these results to provide a more complete picture of the time-dependent mechanical properties of the MVAL. To accomplish this, biaxial stress-relaxation and creep studies were performed on porcine MVAL specimens. Our primary finding was that while the MVAL leaflet exhibited significant stress relaxation, it exhibited negligible creep over the 3-h test. These results furthered our assertion that the MVAL functionally behaves not as a linear or non-linear viscoelastic material, but as an anisotropic quasi-elastic material. These results appear to be unique in the soft tissue literature; suggesting that valvular tissues are unequalled in their ability to withstand significant loading without time-dependent material effects. Moreover, insight into these specialized characteristics can help guide and inform efforts directed toward surgical repair and engineered valvular tissue replacements.
Similar content being viewed by others
References
Accola K. D., M. L. Scott, P. A. Thompson, G. J. Palmer, M. E. Sand, G. Ebra (2005). Midterm outcomes using the physio ring in mitral valve reconstruction: experience in 492 patients. Ann Thorac Surg 79(4): 1276–1283 (discussion 1276–1283)
Baptist Health Foundation, I. The Autonomic Disorders Mitral Valve Prolapse Center, Webspace Enterprises. 2005, 2003
Butler D. L., S. A. Goldstein, F. Guilak (2000). Functional tissue engineering: the role of biomechanics. J Biomech Eng 122(6): 570–575
Cohn L. H., G. S. Couper, S. F. Aranki, R. J. Rizzo, D. H. Adams, J. J. Collins Jr. (1994). The long-term results of mitral valve reconstruction for the floppy valve. J Card Surg 9(2 Suppl): 278–281
Cole W. G., D. Chan, A. J. Hickey, D. E. Wilcken (1984). Collagen composition of normal and myxomatous human mitral heart valves. Biochem J 219(2): 451–460
David T. E., S. Armstrong, Z. Sun, L. Daniel (1993). Late results of mitral valve repair for mitral regurgitation due to degenerative disease. Ann Thorac Surg 56(1): 7–12 (discussion 13–14)
Dunn M. G., F. H. Silver (1983). Viscoelastic behavior of human connective tissues: relative contribution of viscous and elastic components. Connect Tissue Res 12(1): 59–70
Einstein D. R., K. S. Kunzelman, P. G. Reinhall, R. P. Cochran, M. A. Nicosia (2004). Haemodynamic determinants of the mitral valve closure sound: a finite element study. Med Biol Eng Comput 42(6): 832–846
Enriquez-Sarano M., J. F. Avierinos, D. Messika-Zeitoun, D. Detaint, M. Capps, V. Nkomo, C. Scott, H. V. Schaff, A. J. Tajik (2005). Quantitative determinants of the outcome of asymptomatic mitral regurgitation. N Engl J Med 352(9): 875–883
Fasol R., J. Meinhart, M. Deutsch, T. Binder (2004). Mitral valve repair with the Colvin-Galloway Future Band. Ann Thorac Surg 77(6): 1985–1988 (discussion 1988)
Flameng W., P. Herijgers, K. Bogaerts (2003). Recurrence of mitral valve regurgitation after mitral valve repair in degenerative valve disease. Circulation 107(12): 1609–1613
Fung Y. C. (1993). Biomechanics: Mechanical Properties of Living Tissues. Springer Verlag, New York
Gillinov A. M., D. M. Cosgrove 3rd, T. Shiota, J. Qin, H. Tsujino, W. J. Stewart, J. D. Thomas, M. Porqueddu, J. A. White, E. H. Blackstone (2000). Cosgrove-Edwards Annuloplasty System: midterm results. Ann Thorac Surg 69(3): 717–721
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, F. D. Loop (1998). Durability of mitral valve repair for degenerative disease. J Thorac Cardiovasc Surg 116(5): 734–743
Grashow J. S., A. P. Yoganathan, M. S. Sacks (2006). Biaxial stress-stretch behavior of the mitral valve anterior leaflet at physiologic strain rates. Ann Biomed Eng 34(2): 315–325
Haut R.C. (1983). Age-dependent influence of strain rate on the tensile failure of rat-tail tendon. J Biomech Eng 105(3): 296–299
Kontos J., V. Papademetriou, K. Wachtell, V. Palmieri, J. E. Liu, E. Gerdts, K. Boman, M. S. Nieminen, B. Dahlof, R. B. Devereux (2004). 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
Kunzelman K. S., R. P. Cochran, C. Chuong, W. S. Ring, E. D. Verrier, R. D. Eberhart (1993). Finite element analysis of the mitral valve. J Heart Valve Dis 2(3): 326–340
Lam J. H., N. Ranganathan, E. D. Wigle, M. D. Silver (1970). Morphology of the human mitral valve. I. Chordae tendineae: a new classification. Circulation 41(3): 449–458
Lee J., S. Haberer, C. Pereira, W. Naimark, D. Courtman, G. Wilson (1994). 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
Lee J. M., D. R. Boughner (1985). Mechanical properties of human pericardium. Differences in viscoelastic response when compared with canine pericardium. Circ Res 57(3): 475–481
Lee J. M., D. W. Courtman, D. R. Boughner (1984). The glutaraldehyde-stabilized porcine aortic valve xenograft. I. Tensile viscoelastic properties of the fresh leaflet material. J Biomed Mater Res 18(1): 61–77
Lee J. M., D. W. Courtman, D. R. Boughner (1984). The glutaraldehyde-stablized porcine aortic valve xenograft. I. Tensile viscoelastic properties of the fresh leaflet material. Journal of Biomedical Materials Research 18: 61–77
Leeson-Dietrich J., D. Boughner, I. Vesely (1995). 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
Liao J., I. Vesely (2004). Relationship between collagen fibrils, glycosaminoglycans, and stress relaxation in mitral valve chordae tendineae. Ann Biomed Eng 32(7): 977–983
Lim K. H., J. H. Yeo, C. M. Duran (2005). Three-dimensional asymmetrical modeling of the mitral valve: a finite element study with dynamic boundaries. J Heart Valve Dis 14(3): 386–392
Ling L. H., M. Enriquez-Sarano, J. B. Seward, A. J. Tajik, H. V. Schaff, K. R. Bailey, R. L. Frye (1996). Clinical outcome of mitral regurgitation due to flail leaflet. N Engl J Med 335(19): 1417–1423
Lis Y., M. C. Burleigh, D. J. Parker, A. H. Child, J. Hogg, M. J. Davies (1987). Biochemical characterization of individual normal, floppy and rheumatic human mitral valves. Biochem J 244(3): 597–603
May-Newman K., F. C. Yin (1995). Biaxial mechanical behavior of excised porcine mitral valve leaflets. Am J Physiol 269(4 Pt 2): H1319–H1327
Merryman W. D., H.-Y. S. Huang, F. J. Schoen, M. S. Sacks (2006). The effects of cellular contraction on aortic valve leaflet flexural stiffness. J Biomech 39(1): 88–96
Nagatomi J., D. C. Gloeckner, M. B. Chancellor, W. C. DeGroat, M. S. Sacks (2004). Changes in the biaxial viscoelastic response of the urinary bladder following spinal cord injury. Ann Biomed Eng 32(10): 1409–1419
Naimark W. A., J. M. Lee, H. Limeback, D. Cheung (1992). Correlation of structure and viscoelastic properties in the pericardia of four mammalian species. American Journal of Physiology 263(32): H1095–H1106
Ormiston J. A., P. M. Shah, C. Tei, M. Wong (1981). Size and motion of the mitral valve annulus in man. I. A two-dimensional echocardiographic method and findings in normal subjects. Circulation 64(1): 113–120
Otto C. M. (2004). Valvular Heart Disease. Saunders, Philadelphia
Pierard L. A., P. Lancellotti (2004). The role of ischemic mitral regurgitation in the pathogenesis of acute pulmonary edema. N Engl J Med 351(16): 1627–1634
Provenzano P., R. Lakes, T. Keenan, R. Vanderby Jr. (2001). Nonlinear ligament viscoelasticity. Ann Biomed Eng 29(10): 908–914
Ranganathan N., J. H. Lam, E. D. Wigle, M. D. Silver (1970). Morphology of the human mitral valve. II. The value leaflets. Circulation 41(3): 459–67
Rigby R., N. Hiraj, J. Spikes, H. Eyring (1959). The mechanical properties of rat tail tendon. The J. General Physiol. 43: 265–282
Sacks M.S. (2000). Biaxial mechanical evaluation of planar biological materials. J. Elasticity 61: 199–246
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
Sacks M. S., Z. He, L. Baijens, S. Wanant, P. Shah, H. Sugimoto, A. P. Yoganathan (2002). Surface strains in the anterior leaflet of the functioning mitral valve. Annals Biomed Eng 30(10): 1281–1290
Salgo I. S., J. H. Gorman 3rd, R. C. Gorman, B. M. Jackson, F. W. Bowen, T. Plappert, M. G. St John Sutton, L. H. Edmunds Jr. (2002). Effect of annular shape on leaflet curvature in reducing mitral leaflet stress. Circulation 106(6): 711–717
Silverman M. E., J. W. Hurst (1968). 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
Thornton G. M., A. Oliynyk, C. B. Frank, N. G. Shrive (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(5): 652–656
Thornton G. M., N. G. Shrive, C. B. Frank (2002). Ligament creep recruits fibres at low stresses and can lead to modulus-reducing fibre damage at higher creep stresses: a study in rabbit medial collateral ligament model. J Orthop Res 20(5): 967–974
Vesely I., D. R. Boughner, J. Leeson-Dietrich (1995). Bioprosthetic Valve Tissue Viscoelasticity: Implications on Accelerated Pulse Duplicator Testing. Annals Thoracic Surgery 60: S379–383
Weinberg E. J. and M. R. Kaazempur Mofrad. A finite shell element for heart mitral valve leaflet mechanics, with large deformations and 3D constitutive material model. J Biomech, 2006
Wells P. B., J. L. Harris, J. D. Humphrey (2004). Altered mechanical behavior of epicardium under isothermal biaxial loading. J Biomech Eng 126(4): 492–497
Acknowledgements
This work was funded by NIH grant HL-52009. MSS is an Established Investigator of the American Heart Association.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Grashow, J.S., Sacks, M.S., Liao, J. et al. Planar Biaxial Creep and Stress Relaxation of the Mitral Valve Anterior Leaflet. Ann Biomed Eng 34, 1509–1518 (2006). https://doi.org/10.1007/s10439-006-9183-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10439-006-9183-8