Kim Hyunggun, Lu Jia, Sacks Michael S, Chandran Krishnan B
Department of Biomedical Engineering, University of Iowa, Iowa City, IA 52242, USA.
J Biomech Eng. 2006 Oct;128(5):717-24. doi: 10.1115/1.2244578.
While providing nearly trouble-free function for 10-12 years, current bioprosthetic heart valves (BHV) continue to suffer from limited long-term durability. This is usually a result of leaflet calcification and/or structural degeneration, which may be related to regions of stress concentration associated with complex leaflet deformations. In the current work, a dynamic three-dimensional finite element analysis of a pericardial BHV was performed with a recently developed FE implementation of the generalized nonlinear anisotropic Fung-type elastic constitutive model for pericardial BHV tissues (W. Sun and M.S. Sacks, 2005, [Biomech. Model. Mechanobiol., 4(2-3), pp. 190-199]). The pericardial BHV was subjected to time-varying physiological pressure loading to compute the deformation and stress distribution during the opening phase of the valve function. A dynamic sequence of the displacements revealed that the free edge of the leaflet reached the fully open position earlier and the belly region followed. Asymmetry was observed in the resulting displacement and stress distribution due to the fiber direction and the anisotropic characteristics of the Fung-type elastic constitutive material model. The computed stress distribution indicated relatively high magnitudes near the free edge of the leaflet with local bending deformation and subsequently at the leaflet attachment boundary. The maximum computed von Mises stress during the opening phase was 33.8 kPa. The dynamic analysis indicated that the free edge regions of the leaflets were subjected to significant flexural deformation that may potentially lead to structural degeneration after millions of cycles of valve function. The regions subjected to time varying flexural deformation and high stresses of the present study also correspond to regions of tissue valve calcification and structural failure reported from explanted valves. In addition, the present simulation also demonstrated the importance of including the bending component together with the in-plane material behavior of the leaflets towards physiologically realistic deformation of the leaflets. Dynamic simulations with experimentally determined leaflet material specification can be potentially used to modify the valve towards an optimal design to minimize regions of stress concentration and structural failure.
尽管当前的生物人工心脏瓣膜(BHV)能在10至12年的时间里提供几乎无故障的功能,但它们的长期耐用性仍然有限。这通常是瓣叶钙化和/或结构退化的结果,这可能与复杂瓣叶变形相关的应力集中区域有关。在当前的工作中,使用最近开发的用于心包BHV组织的广义非线性各向异性冯氏型弹性本构模型的有限元实现方法(W. Sun和M.S. Sacks,2005年,[《生物力学模型与分子生物学》,4(2 - 3),第190 - 199页]),对心包BHV进行了动态三维有限元分析。对心包BHV施加随时间变化的生理压力载荷,以计算瓣膜功能开启阶段的变形和应力分布。位移的动态序列显示,瓣叶的自由边缘更早到达完全打开位置,腹部区域随后到达。由于纤维方向和冯氏型弹性本构材料模型的各向异性特征,在所得的位移和应力分布中观察到不对称性。计算得到的应力分布表明,在瓣叶自由边缘附近以及随后在瓣叶附着边界处,应力值相对较高,伴有局部弯曲变形。开启阶段计算得到的最大冯·米塞斯应力为33.8 kPa。动态分析表明,瓣叶的自由边缘区域经历了显著的弯曲变形,这在瓣膜功能经过数百万次循环后可能会导致结构退化。本研究中经历随时间变化的弯曲变形和高应力的区域也与从取出的瓣膜报告的组织瓣膜钙化和结构失效区域相对应。此外,本模拟还证明了在考虑瓣叶的面内材料行为时纳入弯曲分量对于瓣叶生理逼真变形的重要性。利用实验确定的瓣叶材料规格进行动态模拟,有可能用于修改瓣膜设计,以实现优化设计,最大限度地减少应力集中区域和结构失效。