Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population

Danuta Makowiec; Agnieszka Kaczkowska; Dorota Wejer; Marta Żarczyńska-Buchowiecka; Zbigniew R. Struzik

doi:10.3390/e17031253

Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population

Abstract

Two entropy-based approaches are investigated to study patterns describing differences in time intervals between consecutive heartbeats. The first method explores matrices arising from networks of transitions constructed following events represented by a time series. The second method considers distributions of ordinal patterns of length three, whereby patterns with repeated values are counted as different patterns. Both methods provide estimators of dynamical aspects of short-term heartbeat signals obtained from nocturnal Holter electrocardiogram (ECG) recordings of healthy people of different ages and genders. The deceleration capacity, arising from the adjacency matrix of the network, and the entropy rate, resulting from the transition matrix of the network, are also calculated, and both significantly decay with aging. As people age, the permutation entropy grows, due to the increase in patterns with repeated values. All of these estimators describe in a consistent way changes in the beat-to-beat heart period dynamics caused by aging. An overall slowing down of heart period changes is observed, and an increase of permutation entropy results from the progressive increase of patterns with repeated values. This result points to the sympathetic drive becoming dominant in cardiac regulation of nocturnal heart rate with age.

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Authors (5)

Danuta Makowiec
- Uniwersytet Gdański Instytut Fizyki Teoretycznej i Astrofizyki
Agnieszka Kaczkowska dr inż.
Dorota Wejer
- Uniwersytet Gdański Instytut Fizyki Teoretycznej i Astrofizyki
Marta Żarczyńska-Buchowiecka
- Gdański Uniwersytet Medyczny I Katedra i Klinika Kardiologii
Zbigniew R. Struzik
- The University of Tokyo Graduate School of Education

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DOI:: Digital Object Identifier (open in new tab) 10.3390/e17031253
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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: ENTROPY no. 17, edition 3, pages 1253 - 1272,
ISSN: 1099-4300
Language:: English
Publication year:: 2015
Bibliographic description:: Makowiec D., Kaczkowska A., Wejer D., Żarczyńska-Buchowiecka M., Struzik Z. R.: Entropic Measures of Complexity of Short-Term Dynamics of Nocturnal Heartbeats in an Aging Population// ENTROPY. -Vol. 17, iss. 3 (2015), s.1253-1272
DOI:: Digital Object Identifier (open in new tab) 10.3390/e17031253
Verified by:: Gdańsk University of Technology