Abstract
Valvular heart disease has recently become an increasing public health concern due to the high prevalence of valve degeneration in aging populations. For high-risk patients, bioprosthetic valve replacement through percutaneous procedures offers a minimally invasive option for treatment. However, the use of thinner, more flexible biological tissues in these valves can induce leaflet flutter during the cardiac cycle, which may lead to cardiovascular dysfunction and reduced valve durability. While previous studies have observed this phenomenon, the mechanics underlying leaflet flutter are not well understood. This chapter reviews two of the author’s recent computational studies of heart valve leaflet flutter in bioprosthetic tissues. Both investigations utilized high-fidelity computational methods to model aortic valve implants and isolate leaflet flutter phenomena and the fundamental mechanics that contribute to leaflet flutter. The results indicate that thinner tissues induce flutter in heart valve leaflets, and reduced flexural stiffness is the primary factor that induces flutter in these biological tissues. These studies provide essential knowledge about leaflet flutter and offer significant insight into possible developments in the design of bioprosthetic heart valves.
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Notes
- 1.
For the St. Venant–Kirchhoff material, note that the coupling stiffness is zero, and the flexural stiffness includes only bending contributions.
- 2.
References
Y. Alemu, D. Bluestein, Flow-induced platelet activation and damage accumulation in a mechanical heart valve: numerical studies. Artif. Organs 31(9), 677–688 (2007)
M. Argentina, L. Mahadevan, Fluid-flow-induced flutter of a flag. Proc. Natl. Acad. Sci. 102(6), 1829–1834 (2005)
M. Arsalan, T. Walther, Durability of prostheses for transcatheter aortic valve implantation. Nat. Rev. Cardiol. 13, 360–367 (2016)
A.H.F. Avelar, J.A. Canestri, C. Bim, M.G.M. Silva, R. Huebner, M. Pinotti, Quantification and analysis of leaflet flutter on biological prosthetic cardiac valves. Artif. Organs 41(9), 835–844 (2016)
A.H.F. Avelar, M.A.G.E. Stófel, J.A. Canestri, R. Huebner, Analytical approach on leaflet flutter on biological prosthetic heart valves. J. Braz. Soc. Mech. Sci. Eng. 39(12), 4849–4858 (2017)
Y. Bazilevs, V.M. Calo, J.A. Cottrel, T.J.R. Hughes, A. Reali, G. Scovazzi, Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput. Methods Appl. Mech. Eng. 197, 173–201 (2007)
Y. Bazilevs, V.M. Calo, T.J.R. Hughes, Y. Zhang, Isogeometric fluid-structure interaction: theory, algorithms, and computations. Comput. Mech. 43, 3–37 (2008)
Y. Bazilevs, M.C. Hsu, Y. Zhang, W. Wang, T. Kvamsdal, S. Hentschel, J. Isaksen, Computational fluid-structure interaction: methods and application to cerebral aneurysms. Biomech. Model. Mechanobiol. 9, 481–498 (2010)
D. Bluestein, Y.M. Li, I.B. Krukenkamp, Free emboli formation in the wake of bi-leaflet mechanical heart valves and the effects of implantation techniques. J. Biomech. 35(12), 1533–1540 (2002)
D. Bluestein, E. Rambod, M. Gharib, Vortex shedding as a mechanism for free emboli formation in mechanical heart valves. J. Biomech. Eng. 122(2), 125–134 (1999)
U. Bortolotti, A. Milano, A. Mazzucco, C. Valfré, E. Talenti, F. Guerra, G. Thiene, V. Gallucci, Results of reoperation for primary tissue failure of porcine bioprostheses. J. Thorac. Cardiovasc. Surg. 90, 564–569 (1985)
S. Bozkurt, G.L. Preston-Maher, R. Torii, G. Burriesci, Design, analysis and testing of a novel mitral valve for transcatheter implantation. Ann. Biomed. Eng. 45(8), 1852–1864 (2017)
N. Broom, The stress/strain and fatigue behaviour of glutaraldehyde preserved heart-valve tissue. J. Biomech. 10(11), 707–724 (1977)
A. Caballero, F. Sulejmani, C. Martin, T. Pham, W. Sun, Evaluation of transcatheter heart valve biomaterials: Biomechanical characterization of bovine and porcine pericardium. J. Mech. Behav. Biomed. Mater. 75, 486–494 (2017)
A.P. Condurache, T. Hahn, M. Scharfschwerdt, A. Mertins, T. Aach, Video-based measuring of quality parameters for tricuspid xenograft heart valve implants. IEEE Trans. Biomed. Eng. 56(12), 2868–2878 (2009)
M. Esmaily-Moghadam, Y. Bazilevs, T.Y. Hsia, I.E. Vignon-Clementel, A.L. Marsden, Modeling of Congenital Hearts Alliance (MOCHA), A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations. Comput. Mech. 48, 277–291 (2011)
S.H. Ewe, V. Delgado, A.C.T. Ng, M.L. Antoni, F. van der Kley, N.A. Marsan, A. de Weger, G. Tavilla, E.R. Holman, M.J. Schalij, J.J. Bax, Outcomes after transcatheter aortic valve implantation: Transfemoral versus transapical approach. Ann. Thorac. Surg. 92(4), 1244–1251 (2011)
S. Friedl, E. Herdt, S. König, M. Weyand, M. Kondruweit, T. Wittenberg, Determination of heart valve fluttering by analyzing pixel frequency, in Bildverarbeitung für die Medizin 2012 (Springer, Berlin, Heidelberg, 2012), pp. 87–91
I. Gallo, B. Ruiz, F. Nistal, C.M.G. Durán, Degeneration in porcine bioprosthetic cardiac valves: incidence of primary tissue failures among 938 bioprostheses at risk. Am. J. Cardiol. 53(8), 1061–1065 (1984)
M. Giersiepen, L.J. Wurzinger, R. Opitz, H. Reul, Estimation of shear stress-related blood damage in heart valve prostheses - in vitro comparison of 25 aortic valves. Int. J. Artif. Organs 13(5), 300–306 (1990)
B.E. Griffith, X. Luo, D.M. McQueen, C.S. Peskin, Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method. Int. J. Appl. Mech. 01, 137–177 (2009)
R. Guidoin, Y. Douville, M.A. Clavel, Z. Zhang, M. Nutley, P. Pibarot, G. Dionne, The marvel of percutaneous cardiovascular devices in the elderly. Ann. New York Acad. Sci. 1197(1), 188–199 (2010)
H. Hatoum, A. Yousefi, S. Lilly, P. Maureira, J. Crestanello, L.P. Dasi, An in vitro evaluation of turbulence after transcatheter aortic valve implantation. J. Thorac. Cardiovasc. Surg. 156(5), 1837–1848 (2018)
M. Hedayat, H. Asgharzadeh, I. Borazjani, Platelet activation of mechanical versus bioprosthetic heart valves during systole. J. Biomech. 56, 111–116 (2017)
M.C. Hsu, D. Kamensky, Immersogeometric analysis of bioprosthetic heart valves, using the dynamic augmented Lagrangian method, in Frontiers in Computational Fluid-Structure Interaction and Flow Simulation. ed. by T.E. Tezduyar (Springer International Publishing, Cham, 2018), pp. 167–212
M.C. Hsu, D. Kamensky, Y. Bazilevs, M.S. Sacks, T.J.R. Hughes, Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Comput. Mech. 54(4), 1055–1071 (2014)
M.C. Hsu, D. Kamensky, F. Xu, J. Kiendl, C. Wang, M.C.H. Wu, J. Mineroff, A. Reali, Y. Bazilevs, M.S. Sacks, Dynamic and fluid-structure interaction simulations of bioprosthetic heart valves using parametric design with T-splines and Fung-type material models. Comput. Mech. 55, 1211–1225 (2015)
T.J.R. Hughes, W.K. Liu, T.K. Zimmermann, Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput. Methods Appl. Mech. Eng. 29, 329–349 (1981)
T.J.R. Hughes, L. Mazzei, K.E. Jansen, Large eddy simulation and the variational multiscale method. Comput. Vis. Sci. 3, 47–59 (2000)
T. Ishihara, V.J. Ferrans, S.W. Boyce, M. Jones, W.C. Roberts, Structure and classification of cuspal tears and perforations in porcine bioprosthetic cardiac valves implanted in patients. Am. J. Cardiol. 48(4), 665–678 (1981)
E.L. Johnson, D.W. Laurence, F. Xu, C.E. Crisp, A. Mir, H.M. Burkhart, C.H. Lee, M.C. Hsu, Parameterization, geometric modeling, and isogeometric analysis of tricuspid valves. Comput. Methods Appl. Mech. Eng. 384, 113960 (2021)
E.L. Johnson, M.R. Rajanna, C.H. Yang, M.C. Hsu, Effects of membrane and flexural stiffnesses on aortic valve dynamics: identifying the mechanics of leaflet flutter in thinner biological tissues. Forces Mech. 6, 100053 (2022)
E.L. Johnson, M.C.H. Wu, F. Xu, N.M. Wiese, M.R. Rajanna, A.J. Herrema, B. Ganapathysubramanian, T.J.R. Hughes, M.S. Sacks, M.C. Hsu, Thinner biological tissues induce leaflet flutter in aortic heart valve replacements. Proc. Natl. Acad. Sci. 117(32), 19007–19016 (2020)
D. Kamensky, J.A. Evans, M.C. Hsu, Stability and conservation properties of collocated constraints in immersogeometric fluid-thin structure interaction analysis. Commun. Comput. Phys. 18, 1147–1180 (2015)
D. Kamensky, M.C. Hsu, D. Schillinger, J.A. Evans, A. Aggarwal, Y. Bazilevs, M.S. Sacks, T.J.R. Hughes, An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Comput. Methods Appl. Mech. Eng. 284, 1005–1053 (2015)
J. Kiendl, K.U. Bletzinger, J. Linhard, R. Wüchner, Isogeometric shell analysis with Kirchhoff-Love elements. Comput. Methods Appl. Mech. Eng. 198, 3902–3914 (2009)
J. Kiendl, M.C. Hsu, M.C.H. Wu, A. Reali, Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials. Comput. Methods Appl. Mech. Eng. 291, 280–303 (2015)
H. Kim, J. Lu, M.S. Sacks, K.B. Chandran, Dynamic simulation of bioprosthetic heart valves using a stress resultant shell model. Ann. Biomed. Eng. 36(2), 262–275 (2008)
J.H. Lee, L.N. Scotten, R. Hunt, T.G. Caranasos, J.P. Vavalle, B.E. Griffith, Bioprosthetic aortic valve diameter and thickness are directly related to leaflet fluttering: results from a combined experimental and computational modeling study. JTCVS Open 6, 60–81 (2021)
E.K. Louie, T.J. Mason, R. Shah, T. Bieniarz, A.M. Moore, Determinants of anterior mitral leaflet fluttering in pure aortic regurgitation from pulsed Doppler study of the early diastolic interaction between the regurgitant jet and mitral inflow. Am. J. Cardiol. 61(13), 1085–1091 (1988)
A.L. Marsden, I.E. Vignon-Clementel, F. Chan, J.A. Feinstein, C.A. Taylor, Effects of exercise and respiration on hemodynamic efficiency in CFD simulations of the total cavopulmonary connection. Ann. Biomed. Eng. 35, 250–263 (2007)
P. Marx, W. Kowalczyk, A. Demircioglu, S.E. Shehada, H. Wendta, F. Mourad, M. Thielmann, H. Jakob, D. Wendt, An in vitro comparison of flow dynamics of the Magna Ease and the Trifecta prostheses. Minim. Invasive Ther. Allied Technol. 29(2), 78–85 (2020)
S. Maximus, J.C. Milliken, B. Danielsen, R. Shemin, J. Khan, J.S. Carey, Implementation of transcatheter aortic valve replacement in California: Influence on aortic valve surgery. J. Thorac. Cardiovasc. Surg. 155(4), 1447–1456 (2018)
A. Milano, U. Bortolotti, E. Talenti, C. Valfrè, E. Arbustini, M. Valente, A. Mazzucco, V. Gallucci, G. Thiene, Calcific degeneration as the main cause of porcine bioprosthetic valve failure. Am. J. Cardiol. 53(8), 1066–1070 (1984)
A. Mirnajafi, B. Zubiate, M.S. Sacks, Effects of cyclic flexural fatigue on porcine bioprosthetic heart valve heterograft biomaterials. J. Biomed. Mater. Res. Part A 94A(1), 205–213 (2010)
B. Moore, L.P. Dasi, Spatiotemporal complexity of the aortic sinus vortex. Exp. Fluids 55(7), 49–12 (2014)
J.F. Mustard, E.A. Murphy, H.C. Rowsell, H.G. Downie, Factors influencing thrombus formation in vivo. Am. J. Med. 33(5), 621–647 (1962)
R.M. Nerem, W.A. Seed, An in vivo study of aortic flow disturbances. Cardiovasc. Res. 6(1), 1–14 (1972)
V.T. Nkomo, J.M. Gardin, T.N. Skelton, J.S. Gottdiener, C.G. Scott, M. Enriquez-Sarano, Burden of valvular heart diseases: a population-based study. Lancet 368(9540), 1005–1011 (2006)
H. Nygaard, M. Giersiepen, J.M. Hasenkam, H. Reul, P.K. Paulsen, P.E. Rovsing, D. Westphal, Two-dimensional color-map** of turbulent shear stress distribution downstream of two aortic bioprosthetic valves in vitro. J. Biomech. 25(4), 429–440 (1992)
J.A. Peacock, An in vitro study of the onset of turbulence in the sinus of Valsalva. Circ. Res. 67(2), 448–460 (1990)
P. Pibarot, J.G. Dumesnil, Prosthetic heart valves: selection of the optimal prosthesis and long-term management. Circulation 119(7), 1034–1048 (2009)
E.R. Pinto, P.M. Damani, C.N. Sternberg, A.J. Liedtke, Fine flutterings of the aortic valve as demonstrated by aortic valve echocardiograms. Am. Heart J. 95(6), 807–808 (1978)
J.L. Pomar, X. Bosch, B.R. Chaitman, C. Pelletier, C.M. Grondin, Late tears in leaflets of porcine bioprostheses in adults. Ann. Thorac. Surg. 37(1), 78–83 (1984)
W.G. Rainer, R.A. Christopher, T.R. Sadler Jr., A.D. Hilgenberg, Dynamic behavior of prosthetic aortic tissue valves as viewed by high-speed cinematography. Ann. Thorac. Surg. 28(3), 274–280 (1979)
K.R. Rao, D.N. Kim, J.J. Hwang, Fast Fourier Transform - Algorithms and Applications (Springer, Netherlands, 2010)
N. Saikrishnan, G. Kumar, F.J. Sawaya, S. Lerakis, A.P. Yoganathan, Accurate assessment of aortic stenosis. Circulation 129(2), 244–253 (2014)
R.F. Siddiqui, J.R. Abraham, J. Butany, Bioprosthetic heart valves: modes of failure. Histopathology 55, 135–144 (2009)
J.C. Simo, T.J.R. Hughes, Computational Inelasticity (Springer, New York, 1998)
C.R. Smith, M.B. Leon, M.J. Mack, D.C. Miller, J.W. Moses, L.G. Svensson, E.M. Tuzcu, J.G. Webb, G.P. Fontana, R.R. Makkar, M. Williams, T. Dewey, S. Kapadia, V. Babaliaros, V.H. Thourani, P. Corso, A.D. Pichard, J.E. Bavaria, H.C. Herrmann, J.J. Akin, W.N. Anderson, D. Wang, S.J. Pocock, Transcatheter versus surgical aortic-valve replacement in high-risk patients. N. Engl. J. Med. 364(23), 2187–2198 (2011)
R.L. Smith, E.F. Blick, J. Coalson, P.D. Stein, Thrombus production by turbulence. J. Appl. Physiol. 32(2), 261–264 (1972)
J.S. Soares, K.R. Feaver, W. Zhang, D. Kamensky, A. Aggarwal, M.S. Sacks, Biomechanical behavior of bioprosthetic heart valve heterograft tissues: characterization, simulation, and performance. Cardiovasc. Eng. Technol. 7(4), 309–351 (2016)
J. Sun, M. Davidson, A. Lamy, J. Eikelboom, Antithrombotic management of patients with prosthetic heart valves: current evidence and future trends. Lancet 374(9689), 565–576 (2009)
W. Sun, M.S. Sacks, Finite element implementation of a generalized Fung-elastic constitutive model for planar soft tissues. Biomech. Model. Mechanobiol. 4, 190–199 (2005)
K. Takizawa, Y. Bazilevs, T.E. Tezduyar, Space-time and ALE-VMS techniques for patient-specific cardiovascular fluid-structure interaction modeling. Arch. Comput. Methods Eng. 19, 171–225 (2012)
K. Takizawa, Y. Bazilevs, T.E. Tezduyar, C.C. Long, A.L. Marsden, K. Schjodt, ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. Math. Models Methods Appl. Sci. 24, 2437–2486 (2014)
T. Terahara, K. Takizawa, T.E. Tezduyar, Y. Bazilevs, M.C. Hsu, Heart valve isogeometric sequentially-coupled FSI analysis with the space-time topology change method. Comput. Mech. 65, 1167–1187 (2020)
A.A. Van Steenhoven, C.W. Verlaan, P.C. Veenstra, R.S. Reneman, In vivo cinematographic analysis of behavior of the aortic valve. Am. J. Physiol. 240(2), H286–H292 (1981)
I. Vesely, The evolution of bioprosthetic heart valve design and its impact on durability. Cardiovasc. Pathol. 12(5), 277–286 (2003)
I.E. Vignon-Clementel, C.A. Figueroa, K.E. Jansen, C.A. Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput. Methods Appl. Mech. Eng. 195, 3776–3796 (2006)
J. Vogel-Claussen, H. Pannu, P.J. Spevak, E.K. Fishman, D.A. Bluemke, Cardiac valve assessment with MR imaging and 64-section multi-detector row CT. RadioGraphics 26(6), 1769–1784 (2006)
N. Vyavahare, M. Ogle, F.J. Schoen, R. Zand, D.C. Gloeckner, M. Sacks, R.J. Levy, Mechanisms of bioprosthetic heart valve failure: Fatigue causes collagen denaturation and glycosaminoglycan loss. J. Biomed. Mater. Res. 46(1), 44–50 (1999)
M.C.H. Wu, H.M. Muchowski, E.L. Johnson, M.R. Rajanna, M.C. Hsu, Immersogeometric fluid-structure interaction modeling and simulation of transcatheter aortic valve replacement. Comput. Methods Appl. Mech. Eng. 357, 112556 (2019)
M.C.H. Wu, R. Zakerzadeh, D. Kamensky, J. Kiendl, M.S. Sacks, M.C. Hsu, An anisotropic constitutive model for immersogeometric fluid-structure interaction analysis of bioprosthetic heart valves. J. Biomech. 74, 23–31 (2018)
F. Xu, E.L. Johnson, C. Wang, A. Jafari, C.H. Yang, M.S. Sacks, A. Krishnamurthy, M.C. Hsu, Computational investigation of left ventricular hemodynamics following bioprosthetic aortic and mitral valve replacement. Mech. Res. Commun. 112, 103604 (2021)
F. Xu, S. Morganti, R. Zakerzadeh, D. Kamensky, F. Auricchio, A. Reali, T.J.R. Hughes, M.S. Sacks, M.C. Hsu, A framework for designing patient-specific bioprosthetic heart valves using immersogeometric fluid-structure interaction analysis. Int. J. Numer. Methods Biomed. Eng. 34(4), e2938 (2018)
Y. Yu, D. Kamensky, M.C. Hsu, X.Y. Lu, Y. Bazilevs, T.J.R. Hughes, Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid-structure interaction. Math. Models Methods Appl. Sci. 28(12), 2457–2509 (2018)
Acknowledgements
These studies were supported by the National Heart, Lung, and Blood Institute of the National Institutes of Health under award numbers R01HL129077 and R01HL142504. This support is gratefully acknowledged. The Texas Advanced Computing Center (TACC) at The University of Texas at Austin is acknowledged for providing the HPC resources that contributed to the research results reported in these studies. Finally, the author would also like to acknowledge all the scholars who contributed to the papers reviewed in this book chapter.
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Johnson, E.L. (2023). Recent Computational Investigations of Leaflet Flutter in Thinner Biological Heart Valve Tissues. In: Tezduyar, T.E. (eds) Frontiers in Computational Fluid-Structure Interaction and Flow Simulation. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-36942-1_6
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