We propose a model for heart rate variability (HRV) of a healthy individual during sleep with the assumption that the heart rate variability is predominantly a random process. Autonomic nervous system activity has different properties during different sleep stages, and this affects many physiological systems including the cardiovascular system. Different properties of HRV can be observed during each particular sleep stage. We believe that taking into account the sleep architecture is crucial for modeling the human nighttime HRV. The stochastic model of HRV introduced by Kantelhardt et al. was used as the initial starting point. We studied the statistical properties of sleep in healthy adults, analyzing 30 polysomnographic recordings, which provided realistic information about sleep architecture. Next, we generated synthetic hypnograms and included them in the modeling of nighttime RR interval series. The results of standard HRV linear analysis and of nonlinear analysis (Shannon entropy, Poincaré plots, and multiscale multifractal analysis) show that—in comparison with real data—the HRV signals obtained from our model have very similar properties, in particular including the multifractal characteristics at different time scales. The model described in this paper is discussed in the context of normal sleep. However, its construction is such that it should allow to model heart rate variability in sleep disorders. This possibility is briefly discussed.
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February 2016
Research Article|
January 28 2016
Modeling heart rate variability including the effect of sleep stages
Mateusz Soliński;
Mateusz Soliński
a)
Faculty of Physics,
Warsaw University of Technology
, Warsaw 00-662, Poland
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Jan Gierałtowski
;
Jan Gierałtowski
Faculty of Physics,
Warsaw University of Technology
, Warsaw 00-662, Poland
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Jan Żebrowski
Jan Żebrowski
Faculty of Physics,
Warsaw University of Technology
, Warsaw 00-662, Poland
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a)
Electronic mail: solinski@if.pw.edu.pl
Chaos 26, 023101 (2016)
Article history
Received:
September 24 2015
Accepted:
January 13 2016
Citation
Mateusz Soliński, Jan Gierałtowski, Jan Żebrowski; Modeling heart rate variability including the effect of sleep stages. Chaos 1 February 2016; 26 (2): 023101. https://doi.org/10.1063/1.4940762
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