Stochastic analysis of heart rate variability and its relation to echocardiography parameters in hypertrophic
M Petelczyc1, J J Zebrowski, R Baranowski
1Faculty of Physics, Warsaw University of Technology, Koszykowa 75, Warsaw, Poland. petelczyc_m@if.pw.edu.pl
Insights
Heart rate variability analysis using Kramers-Moyal expansion reveals new parameters for hypertrophic cardiomyopathy (HCM). The LCF-RCF parameter may diagnose HCM by measuring its effect on heart rate variability.
Area of Science:
- Cardiology
- Biophysics
- Nonlinear Dynamics
Background:
- Heart rate variability (HRV) is a crucial indicator of cardiac autonomic function.
- Hypertrophic cardiomyopathy (HCM) is a complex cardiac disease affecting heart rate regulation.
- Traditional HRV analysis may not fully capture the intricate dynamics in HCM.
Purpose of the Study:
- To investigate HRV in healthy individuals and HCM patients using advanced dynamical analysis.
- To introduce novel parameters derived from the Langevin equation to characterize HRV.
- To explore the diagnostic potential of these new parameters in HCM.
Main Methods:
- Analysis of RR interval time series from 10 healthy males and 49 HCM patients.
- Application of Kramers-Moyal expansion to extract drift and diffusion terms of the Langevin equation.
- Introduction and calculation of new diffusion term parameters: Left (LCF) and Right (RCF) Branch Coefficients.
- Correlation of LCF-RCF with echocardiographic parameters, specifically left ventricular systolic diameter.
Main Results:
- The LCF-RCF parameter was calculated for all participants.
- HCM patients were categorized into three groups based on the LCF-RCF difference and left ventricular systolic diameter.
- Significant differences in HRV properties were observed between HCM patients and healthy controls.
- The LCF-RCF parameter demonstrated a strong association with the impact of HCM on HRV.
Conclusions:
- The LCF-RCF parameter, derived from Kramers-Moyal expansion, shows potential as a novel biomarker for HCM.
- This parameter may offer valuable diagnostic insights into the effects of HCM on heart rate variability.
- Further research can validate LCF-RCF for clinical application in HCM diagnosis and management.
Abstract:
The heart rate variability of 10 healthy males (age 26 - 4/+ 3 y) and 49 patients with hypertrophic cardiomyopathy (HCM) (25 males, 24 females, age 29.5 - 11.5/+ 10.5 y) was studied. We applied Kramers-Moyal expansion to extract the drift and diffusion terms of the Langevin equation for the RR interval time series. These terms may be used for a stochastic reconstruction of the time series and for description of the properties of heart rate variability. New parameters characterizing the diffusion term are proposed: the coefficients of the linear fit to the left (LCF) and right (RCF) branch of the dependence of the diffusion term on the rescaled heart rate. Relations of the new parameters to classical echocardiography parameters were studied. Using the relation between the difference LCF-RCF and the left ventricular systolic diameter, the HCM patients studied were divided into three groups. In addition, comparison of the properties of the heart rate variability in the HCM group with that obtained for the healthy young men showed that the parameter LCF-RCF may be treated as a measure of the effect of HCM on heart rate variability and may have diagnostic value.
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