Information and Diagnostics Systems

Mathematical Modeling of Electrocardiographic Signals Using Temporal Rhythm and Amplitude Variability Functions

Lyubomyr Mosiy1, Andriy Sverstiuk1,2

1. Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
2. I. Horbachevsky Ternopil National Medical University, Ternopil, Ukraine

https://doi.org/10.15407/msse2025.01.295

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Keywords

ECS modeling, amplitude variability, temporal rhythm function, cyclic discrete random process, cardiac diagnostics

Abstract

Presents discrete mathematical models for electrocardiographic signal (ECS) analysis based on temporal rhythm functions and amplitude variability of characteristic waves P, Q, R, S, T. The proposed approach combines cyclic discrete random process theory with amplitude-temporal characteristics to enable comprehensive assessment of cardiac signals. Experimental validation on patients with conditional norm and extrasystole demonstrates high sensitivity to pathological changes, with variance increasing by 5-6 orders of magnitude for amplitude variability in pathological cases.

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