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Persistent homology as a new method of the assessment of heart rate variability

Abstract

Heart rate variability (hrv) is a physiological phenomenon of the variation in the length of the time interval between consecutive heartbeats. In many cases it could be an indicator of the development of pathological states. The classical approach to the analysis of hrv includes time domain methods and frequency domain methods. However, attempts are still being made to define new and more effective hrv assessment tools. Persistent homology is a novel data analysis tool developed in the recent decades that is rooted at algebraic topology. The Topological Data Analysis (TDA) approach focuses on examining the shape of the data in terms of connectedness and holes, and has recently proved to be very effective in various fields of research. In this paper we propose the use of persistent homology to the hrv analysis. We recall selected topological descriptors used in the literature and we introduce some new topological descriptors that reflect the specificity of hrv, and we discuss their relation to the standard hrv measures. In particular, we show that this novel approach provides a collection of indices that might be at least as useful as the classical parameters in differentiating between series of beat-to-beat intervals (RR-intervals) in healthy subjects and patients suffering from a stroke episode.

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DOI:
Digital Object Identifier (open in new tab) 10.1371/journal.pone.0253851
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Category:
Articles
Type:
artykuły w czasopismach
Published in:
PLOS ONE no. 16,
ISSN: 1932-6203
Language:
English
Publication year:
2021
Bibliographic description:
Graff G., Graff B., Pilarczyk P., Jabłoński G., Gąsecki D., Narkiewicz K.: Persistent homology as a new method of the assessment of heart rate variability// PLOS ONE -Vol. 16,iss. 7 (2021), s.e0253851-
DOI:
Digital Object Identifier (open in new tab) 10.1371/journal.pone.0253851
Sources of funding:
Verified by:
Gdańsk University of Technology

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