基于平稳随机序列向量的心律计算机建模

Petro Onyskiv, S. Lupenko, I. Lytvynenko, Anatolii Lupenko, Oleksandr Volianyk, Olena Tsitsiura, 𝑙, 𝑚 𝜔′𝑡, 𝑚 𝜔′, 𝑙 ∈ 𝑍
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引用次数: 0

摘要

本文介绍了一种基于平稳随机序列向量形式的数学模型的心电图节律计算机建模方法。所开发的计算机建模方法允许为不同类型的心电图信号生成矢量心电图节律信号(平稳随机序列的矢量分量)的实现,包括正常和具有各种类型的节律病理。根据获得的统计信息,以估计平稳随机序列向量的数学期望和方差的形式对心电图节律进行建模。研究表明,所获得的建模矢量分量(描述心电图节律的分量)的统计特性估计在置信区间内,这表明使用所开发的计算机模拟方法进行的实验是正确的。研究了生成平稳随机序列矢量分量实现的计算机模拟方法的精度,所研究的矢量分量的计算机模拟误差不超过13%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computer modeling of cardiac rhythm based on vector of stationary random sequences
The article is devoted to a computer modeling method of electrocardiogram rhythm based on a mathematically justified model in the form of a vector of stationary random sequences. The developed computer modeling method allows for generating realizations of vector electrocardiogram rhythm signal (vector components of stationary random sequences) for different types of electrocardiogram signals, both normal and with various types of rhythm pathologies. The modeling of electrocardiogram rhythms was carried out based on the obtained statistical information in the form of estimates of the mathematical expectation and variance of the components of the vector of stationary random sequences. It has been shown that the obtained estimates of statistical characteristics of the modeled vector components (components that describe the electrocardiogram rhythm) are within confidence intervals, which is an indication of the correctness of the experiments conducted using the developed computer simulation method. The accuracy of the computer simulation method for generating realizations of the vector components of stationary random sequences has been investigated, and the error of the computer simulation does not exceed 13% for the investigated vector components.
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