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The Hurst Exponent of Heart Rate Variability in Neonatal Stress, Based on a Mean-Reverting Fractional Lévy Stable Motion

Matej Šapina

University Hospital Osijek, Pediatric Clinic, J. Huttlera 3, 31000 Osijek, Croatia

Medical Faculty Osijek, Cara Hadrijana 10E, 31000 Osijek, Croatia

Faculty of Dental Medicine and Health, Crkvena 21, 31000 Osijek, Croatia

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Matthieu Garcin

http://orcid.org/0000-0003-3296-6486

Léonard de Vinci Pôle Universitaire, Research Center, 92916 Paris La Défense, France - LabEx ReFi, France

E-mail Address: matthieu.garcin@m4x.org

Corresponding author.

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Karolina Kramarić

University Hospital Osijek, Pediatric Clinic, J. Huttlera 3, 31000 Osijek, Croatia

Medical Faculty Osijek, Cara Hadrijana 10E, 31000 Osijek, Croatia

Faculty of Dental Medicine and Health, Crkvena 21, 31000 Osijek, Croatia

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Krešimir Milas

University Hospital Osijek, Pediatric Clinic, J. Huttlera 3, 31000 Osijek, Croatia

Medical Faculty Osijek, Cara Hadrijana 10E, 31000 Osijek, Croatia

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Dario Brdarić

Institute of Public Health for the Osijek-Baranya County, Drinska 8, 31000 Osijek, Croatia

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, and

Marko Pirić

Medical Faculty Osijek, Cara Hadrijana 10E, 31000 Osijek, Croatia

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https://doi.org/10.1142/S0219477520500261Cited by:6 (Source: Crossref)

Abstract

We aim at detecting stress in newborns by observing heart rate variability (HRV). The HRV features nonlinearities. Fractal dynamics is a usual way to model them and the Hurst exponent summarizes the fractal information. In our framework, we have observations of short duration, for which usual estimators of the Hurst exponent, like detrended fluctuation analysis (DFA), are not adapted. Moreover, we observe that the Hurst exponent does not vary much between stress and rest phases, but its decomposition in memory and underlying properties of the probability distribution leads to satisfactory diagnostic tools. This decomposition of the Hurst exponent is in addition embedded in a mean-reverting model. The resulting model is a mean-reverting fractional Lévy stable motion (FLSM). We estimate it and use its parameters as diagnostic tools of neonatal stress. Indeed, the value of the speed of reversion parameter is a significant indicator of stress. The evolution of both parameters in which the Hurst exponent is decomposed provides us with significant indicators as well. On the contrary, the Hurst exponent itself does not bear useful information.

Communicated by Cecilia Pennetta

Keywords:

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