DOI: https://doi.org/10.31071/kit2020.16.06

Inventory reference

ISSN 1812-7231 Klin.inform.telemed. Volume 15, Issue 16, 2020, Pages 62-68

Author(s)

A. Martynenko

Institution(s)

V. N. Karazin Kharkiv National University, Ukraine

Article title

Robust correlation dimension estimator for heart rate variability

Abstract (resume)

Introduction. Non-linear methods of analysis have found widespread use in the Heart Rate Variability (HRV) technology, when the long-term HRV records are available. Using one of the effective nonlinear methods of analysis of HRV correlation dimension D2 for the standard 5-min HRV records is suppressed by unsatisfactory accuracy of available methods in case of short records (usually, doctors have about 500 RRs during standard 5-min HRV record), as well as complexity and ambiguity of choosing additional parameters for known methods of calculating D2.

The purpose of the work. Building a robust estimator for calculating correlation dimension D2 with high accuracy for limited series of RR-intervals observed in a standard 5-minute HRV record, i. e. with N  500. As well as demonstrating the capabilities of the D2 formula on a well known attractors (Lorenz, Duffing, Hennon and etc.) and in applications for Normal Sinus Rhythm (NSR), Congestive Heart Failure (CHF) and Atrial Fibrillation (AF).

Materials and Methods. We used MIT-BIH long-term HRV records for normal sinus rhythm, congestive heart failure and atrial fibrillation. In order to analyze the accuracy of new robust estimator for D2, we used the known theoretical values for some famous attractors (Lorenz, Duffing, Hennon and etc.) and the most popular Grassberger-Procaccia (G-P) algorithm for D2.

The results of the study. We have shown the effectiveness of the developed D2 formula for time series of limited length (N=500–1000) by some famous attractors (Lorenz, Duffing, Hennon and etc.) and with the most popular Grassberger-Procaccia (G-P) algorithm for D2. It was demonstrated statistically significant difference of D2 for normal sinus rhythm and congestive heart failure by standard 5 min HRV segments from MIT-BIH database. The promised technology for early prediction of atrial fibrillation episodes by current D2 algorithm was shown for standard 5 min HRV segments from MIT-BIH Atrial Fibrillation database.

Conclusion. Robust correlation dimension D2 estimator suggested in the article allows for time series of limited length (N≈500) to calculate D2 value that differs at mean from a precise one by 5±4%, as demonstrated for various well known attractors (Lorenz, Duffing, Hennon and etc.). We have shown on the standard 5-min segments from MIT-BIH database of HRV records:
- the statistically significant difference of D2 for cases of normal sinus rhythm and congestive heart failure;
- D2 drop significantly for the about 30 min. before of AF and D2 growth drastically under AF there was shown for HRV records with Atrial Fibrillation (AF) episodes.
The suggested robust correlation dimension D2 estimator is perfect suitable for real time HRV monitoring as accurate, fast and non-consuming for computing resources.

Keywords

Hearth rate variability, Correlation dimension, Congestive heart failure, Atrial fibrillation

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