Mathematical modeling of electrocardiogram signal amplitude variability for information technology analysis of their morphological and rhythmic characteristics
Abstract
The article presents mathematical modeling of amplitude variability of electrocardiographic signals (ECS) as an essential component of information technology for analyzing morphological and rhythmic features of cardiac signals. A mathematical model of the amplitude variability function Vk(m) has been developed, enabling quantitative evaluation of amplitude changes in characteristic ECS waves (P, Q, R, S, T) between consecutive cardiac cycles. A comprehensive method for processing amplitude variability has been proposed, including the calculation of mean value, standard deviation, coefficient of variation, range of values, and amplitude instability index. A comparative analysis of amplitude variability indicators in healthy patients and patients with extrasystole revealed significant differences in the range of amplitude variability (on average 12 to 40 times higher in pathological cases). The normal distribution of amplitude variability function indicators has been confirmed, ensuring the reliability of parametric analysis methods within the information technology framework. The architecture of information technology with a module for calculating amplitude variability indicators has been proposed, enabling the detection of hidden patterns and anomalies, as well as creating prerequisites for developing predictive algorithms for diagnosing cardiovascular pathologies based on the dynamics of ECS amplitude variability
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