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Simulating re-reflections of arterial pressure waves at the aortic valve using difference equations.
Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine ( IF 1.7 ) Pub Date : 2020-07-20 , DOI: 10.1177/0954411920942704
Bernhard Hametner 1 , Hannah Kastinger 1, 2 , Siegfried Wassertheurer 1
Affiliation  

Re-reflections of arterial pressure waves at the aortic valve and their influence on aortic wave shape are only poorly understood so far. Therefore, the aim of this work is to establish a model enabling the simulation of re-reflection and to test its properties. A mathematical difference equation model is used for the simulations. In this model, the aortic blood pressure is split into its forward and backward components which are calculated separately. The respective equations include reflection percentages representing reflections throughout the arterial system and a reflection coefficient at the aortic valve. While the distal reflections are fixed, different scenarios for the reflection coefficient at the valve are simulated. The results show that the model is capable to provide physiological pressure curves only if re-reflections are assumed to be present during the whole cardiac cycle. The sensitivity analysis on the reflection coefficient at the aortic valve shows various effects of re-reflections on the modelled blood pressure curve. Higher levels of the reflection coefficient lead to higher systolic and diastolic pressure values. The augmentation index is notably influenced by the systolic level of the reflection coefficient. This difference equation model gives an adequate possibility to simulate aortic pressure incorporating re-reflections at the site of the aortic valve. Since a strong dependence of the aortic pressure wave on the choice of the reflection coefficient have been found, this indicates that re-reflections should be incorporated into models of wave transmission. Furthermore, re-reflections may also be considered in methods of arterial pulse wave analysis.



中文翻译:

使用差分方程模拟主动脉瓣处动脉压力波的再反射。

迄今为止,对主动脉瓣上动脉压力波的再反射及其对主动脉波形的影响知之甚少。因此,这项工作的目的是建立一个能够模拟再反射并测试其特性的模型。数学差分方程模型用于模拟。在这个模型中,主动脉血压被分成分别计算的前向和后向分量。各个方程包括代表整个动脉系统的反射的反射百分比和主动脉瓣处的反射系数。虽然远端反射是固定的,但模拟了阀门处反射系数的不同场景。结果表明,只有假设在整个心动周期中存在再反射,该模型才能提供生理压力曲线。主动脉瓣反射系数的敏感性分析显示了再反射对建模血压曲线的各种影响。更高水平的反射系数导致更高的收缩压和舒张压值。增强指数显着受反射系数的收缩水平影响。这种差分方程模型为模拟主动脉压力提供了充分的可能性,包括在主动脉瓣部位的再反射。由于已经发现主动脉压力波对反射系数的选择有很强的依赖性,这表明应将再反射纳入波传输模型。此外,在动脉脉搏波分析方法中也可以考虑再反射。

更新日期:2020-07-20
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