Hamid M S, Sabbah H N, Stein P D
Henry Ford Heart and Vascular Institute, Detroit, Mich.
Circ Res. 1987 Nov;61(5):687-94. doi: 10.1161/01.res.61.5.687.
The fundamental natural frequency of the closed cusps of porcine bioprosthetic valves, fabricated from the normal leaflets of pig aortic valves, was estimated using a finite element model. Both normal and stiffened leaflets were considered in the vibrational analysis. The effects of conditions that simulated degeneration, such as stiffening, central perforation, a tear, calcium deposits in the commissural attachments, and combinations of these were determined. The primary frequency of vibration of the normal leaflets was within the range of the dominant frequency of the heart sounds determined clinically by spectral analysis of the recorded phonocardiogram. If only one leaflet was stiffened or calcified, there was only a marginal change of frequency. With stiffening and calcification of the commissures of all 3 leaflets, the frequency of vibration increased. Introduction of a tear in a single leaflet of a stiffened and calcified valve markedly reduced the fundamental frequency. In view of the relation between the frequency content of heart sounds and the frequency of valve vibration, this mathematical simulation establishes a possible basis for the observation of a varying dominant frequency of heart sounds in patients with bioprosthetic valves that are in the process of degenerating.
利用有限元模型估算了由猪主动脉瓣正常瓣叶制成的猪生物瓣膜闭合瓣尖的基本固有频率。在振动分析中考虑了正常瓣叶和硬化瓣叶。确定了模拟退化的条件的影响,如硬化、中心穿孔、撕裂、连合附着处的钙沉积以及这些情况的组合。正常瓣叶的主要振动频率在通过记录的心音图频谱分析临床确定的心音主频范围内。如果只有一个瓣叶硬化或钙化,频率只有微小变化。当所有三个瓣叶的连合处都硬化和钙化时,振动频率增加。在硬化和钙化瓣膜的单个瓣叶中引入撕裂会显著降低基本频率。鉴于心音的频率成分与瓣膜振动频率之间的关系,这种数学模拟为观察处于退化过程中的生物瓣膜患者心音主频变化建立了可能的基础。