The important roles of tissue anisotropy and tissue-to-tissue contact on the dynamical behavior of a symmetric tri-leaflet valve during multiple cardiac pressure cycles

Medical Engineering and Physics

Volumn 35, Issue 1, 2013, Pages 23-35

  Saleeb, A F ^a   Kumar, A ^a   Thomas, V S ^a  

^a University of Akron   (United States)

Author keywords

Aortic valve; Fiber anisotropy; Soft tissue; Tissue to tissue contact; Tri leaflet model

Indexed keywords

ANISOTROPIC MATERIAL; AORTIC VALVES; BIOPROSTHETIC HEART VALVES; COMPUTATIONAL MODEL; CONTACT AREAS; CYCLIC SYMMETRY; DYNAMICAL BEHAVIORS; EX-VIVO; EXPERIMENTAL VALIDATIONS; FIBER-ANISOTROPY; LARGE DEFORMATIONS; MATERIAL ANISOTROPY; PRESSURE CYCLES; SIZE AND SHAPE; SOFT TISSUE; STEADY STATE; VALVE OPENING; VITRO EXPERIMENTS;

ANISOTROPY; DEFORMATION;

TISSUE;

ANIMAL TISSUE; ANISOTROPY; AORTA VALVE PROSTHESIS; ARTICLE; CONTROLLED STUDY; EX VIVO STUDY; EXPERIMENTAL STUDY; HEART VALVE BIOPROSTHESIS; IN VITRO STUDY; MATHEMATICAL COMPUTING; NONHUMAN; PRIORITY JOURNAL; STEADY STATE; TISSUE ANISOTROPY; TISSUE SECTION; TISSUE TO TISSUE CONTACT; VALIDATION STUDY; VASCULAR TISSUE;

ANISOTROPY; BIOMECHANICS; FINITE ELEMENT ANALYSIS; HEART VALVES; PRESSURE; REPRODUCIBILITY OF RESULTS;

EID: 84871498143     PISSN: 13504533     EISSN: 18734030     Source Type: Journal    
DOI: 10.1016/j.medengphy.2012.03.006     Document Type: Article

References (43)

1. De Hart J., Baaijens F., Peters G., Schreurs P. A computational fluid-structure interaction analysis of a fiber-reinforced stentless aortic valve. J Biomech 2003, 36:699-712.
2. Boerboom R.A., Driessen N.J.B., Bouten C.V.C., Huyghe J.M., Baaijens F.P.T. Finite element model of mechanically induced collagen fiber synthesis and degradation in the aortic valve. Ann Biomed Eng 2003, 31:1040-1053.
3. Thubrikar M. The aortic valve 1990, CRC Press, Boca Raton, Fla.
4. Billiar K.L., Sacks M.S. Biaxial mechanical properties of the native and glutaraldehyde-treated aortic valve cusp: part II-a structural constitutive model. J Biomech Eng 2000, 122:327.
5. Burriesci G., Howard I.C., Patterson E.A. Influence of anisotropy on the mechanical behaviour of bioprosthetic heart valves. J Med Eng Technol 1999, 23:203-215.
6. Billiar K., Sacks M. Biaxial mechanical properties of the natural and glutaraldehyde treated aortic valve cusp-part I: experimental results. J Biomech Eng 2000, 122:23.
7. Sacks M.S., Sun W. Multiaxial mechanical behavior of biological materials. Annu Rev Biomed Eng 2003, 5:251-284.
8. Li K., Sun W. Simulated thin pericardial bioprosthetic valve leaflet deformation under static pressure-only loading conditions: implications for percutaneous valves. Ann Biomed Eng 2010, 1-12.
9. Cataloglu A., Clark R.E., Gould P.L. Stress analysis of aortic valve leaflets with smoothed geometrical data. J Biomech 1977, 10:153-158.
10. Hamid M.S., Sabbah H.N., Stein P.D. Large-deformation analysis of aortic valve leaflets during diastole. Eng Fract Mech 1985, 22:773-785.
11. Black M., Howard I., Huang X., Patterson E. A three-dimensional analysis of a bioprosthetic heart valve. J Biomech 1991, 24:793-795. 7-801.
12. Haj-Ali R., Dasi L.P., Kim H.S., Choi J., Leo H., Yoganathan A.P. Structural simulations of prosthetic tri-leaflet aortic heart valves. J Biomech 2008, 41:1510-1519.
13. Gnyaneshwar R., Kumar R.K., Balakrishnan K.R. Dynamic analysis of the aortic valve using a finite element model. Ann Thorac Surg 2002, 73:1122-1129.
14. Arcidiacono G., Corvi A., Severi T. Functional analysis of bioprosthetic heart valves. J Biomech 2005, 38:1483-1490.
15. Kim H., Lu J., Sacks M.S., Chandran K.B. Dynamic simulation pericardial bioprosthetic heart valve function. J Biomech Eng 2006, 128:717.
16. Kim H., Lu J., Sacks M.S., Chandran K.B. Dynamic simulation of bioprosthetic heart valves using a stress resultant shell model. Ann Biomed Eng 2008, 36:262-275.
17. Smuts A.N., Blaine D.C., Scheffer C., Weich H., Doubell A.F., Dellimore K.H. Application of finite element analysis to the design of tissue leaflets for a percutaneous aortic valve. J Mech Behav Biomed Mater 2011, 4:85-98.
18. Grande K.J., Cochran R.P., Reinhall P.G., Kunzelman K.S. Stress variations in the human aortic root and valve: the role of anatomic asymmetry. Ann Biomed Eng 1998, 26:534-545.
19. Driessen N.J.B., Bouten C.V.C., Baaijens F.P.T. A structural constitutive model for collagenous cardiovascular tissues incorporating the angular fiber distribution. J Biomech Eng 2005, 127:494.
20. Kim H., Chandran K.B., Sacks M.S., Lu J. An experimentally derived stress resultant shell model for heart valve dynamic simulations. Ann Biomed Eng 2007, 35:30-44.
21. Cook R.D. Concepts and applications of finite element analysis 2002, Wiley, New York, NY. 4th ed.
22. Howard I., Patterson E., Yoxall A. On the opening mechanism of the aortic valve: some observations from simulations. J Med Eng Technol 2003, 27:259-266.
23. Huang X., Black M., Howard I., Patterson E. A two-dimensional finite element analysis of a bioprosthetic heart valve. J Biomech 1990, 23:753-762.
24. Sun W., Abad A., Sacks M.S. Simulated bioprosthetic heart valve deformation under quasi-static loading. J Biomech Eng 2005, 127:905.
25. Krucinski S., Vesely I., Dokainish M., Campbell G. Numerical simulation of leaflet flexure in bioprosthetic valves mounted on rigid and expansile stents. J Biomech 1993, 26:929-943.
26. Prot V., Skallerud B. Nonlinear solid finite element analysis of mitral valves with heterogeneous leaflet layers. Comput Mech 2009, 43:353-368.
27. Weinberg E.J., Kaazempur Mofrad M.R. Transient, three-dimensional, multiscale simulations of the human aortic valve. Cardiovasc Eng 2007, 7:140-155.
28. Carmody C., Burriesci G., Howard I., Patterson E. An approach to the simulation of fluid-structure interaction in the aortic valve. J Biomech 2006, 39:158-169.
29. Bathe K.-J. Finite element procedures 1996, Prentice Hall, Englewood Cliffs, NJ.
30. Saleeb A., Trowbridge D., Wilt T., Marks J., Vesely I. Dynamic pre-processing software for the hyperviscoelastic modeling of complex anisotropic biological tissue materials. Adv Eng Softw 2006, 37:609-623.
31. Gendy A., Saleeb A. Nonlinear material parameter estimation for characterizing hyper elastic large strain models. Comput Mech 2000, 25:66-77.
32. Saleeb A.F., Wilt T.E., Trowbridge D.A., Gendy A.S. Effective strategy for automated characterization in complex viscoelastoplastic and damage modeling for isotropic/anisotropic aerospace materials. J Aerospace Eng 2002, 15:84-96.
33. Yap C.H., Kim H.S., Balachandran K., Weiler M., Haj-Ali R., Yoganathan A.P. Dynamic deformation characteristics of porcine aortic valve leaflet under normal and hypertensive conditions. Am J Physiol: Heart Circulat Physiol 2010, 298:H395.
34. Mohammadi H., Bahramian F., Wan W. Advanced modeling strategy for the analysis of heart valve leaflet tissue mechanics using high-order finite element method. Med Eng Phys 2009, 31:1110-1117.
35. Cacciola G., Peters G., Schreurs P. A three-dimensional mechanical analysis of a stentless fibre-reinforced aortic valve prosthesis. J Biomech 2000, 33:521-530.
36. Li J., Luo X., Kuang Z. A nonlinear anisotropic model for porcine aortic heart valves. J Biomech 2001, 34:1279-1289.
37. ABAQUS, SIMULIA Inc., RI, USA, 2008.
38. Mohammadi H., Boughner D., Millon L., Wan W. Design and simulation of a poly (vinyl alcohol)-bacterial cellulose nanocomposite mechanical aortic heart valve prosthesis. Proc Inst Mech Eng H: J Eng Med 2009, 223:697-711.
39. Watton P., Luo X., Wang X., Bernacca G., Molloy P., Wheatley D. Dynamic modelling of prosthetic chorded mitral valves using the immersed boundary method. J Biomech 2007, 40:613-626.
40. Rousseau E., Van Steenhoven A., Janssen J., Huysmans H. A mechanical analysis of the closed Hancock heart valve prosthesis. J Biomech 1988, 21:545-562.
41. Sripathi V.C., Kumar R.K., Balakrishnan K.R. Further insights into normal aortic valve function: role of a compliant aortic root on leaflet opening and valve orifice area. Ann Thorac Surg 2004, 77:844-851.
42. Akkas N. Bifurcation and snap-through phenomena in asymmetric dynamic analysis of shallow spherical shells. Comput Struct 1976, 6:241-251.
43. Saleeb A.F., Marks J.R., Wilt T.E., Arnold S.M. Interactive software for material parameter characterization of advanced engineering constitutive models. Adv Eng Softw 2004, 35:383-398.