Redaelli A, Di Martino E, Mantero S, Agazzi A, Vangeri E, Gamba A, Fumero R
Dipartimento di Bioingegneria, Politecnico di Milano, Italy.
Int J Artif Organs. 1998 Mar;21(3):161-70.
An analytical mathematical model of a stentless aortic valve has been implemented. The valve is characterised by a trileaflet geometry, cylindrical leaflets; the aortic root is schematised by a conical surface which includes the leaflet attachments. The model is defined through six geometric parameters: the base radius, the valve height, the commissure radius, the leaflet radial, circumferential and attachment line lengths. Five performance indexes have been used to optimise the valve geometry, namely: the systolic area, the leaflet circumferential stress in diastole, the leaflet bending strain in systole and two bending angles related to the rotation of the leaflets from the diastolic to the systolic configuration. The sensitivity analysis is carried out which can identify the influence of each geometric parameter on the performance indexes adopted for the optimum valve design. The analysis of the results provides the geometric configuration which optimises the overall function of the valve throughout the cardiac cycle.
已实现了无支架主动脉瓣的解析数学模型。该瓣膜的特征为三叶几何形状、圆柱形瓣叶；主动脉根部由包含瓣叶附着处的锥形表面表示。该模型通过六个几何参数定义：基部半径、瓣膜高度、瓣环半径、瓣叶径向长度、周向长度和附着线长度。已使用五个性能指标来优化瓣膜几何形状，即：收缩期面积、舒张期瓣叶周向应力、收缩期瓣叶弯曲应变以及与瓣叶从舒张构型到收缩构型旋转相关的两个弯曲角度。进行了敏感性分析，可确定每个几何参数对用于优化瓣膜设计的性能指标的影响。结果分析提供了在整个心动周期中优化瓣膜整体功能的几何构型。
