×

Asymmetric detrended fluctuation analysis reveals asymmetry in the RR intervals time series. (English) Zbl 07251990

Summary: In this paper, we apply the Asymmetric Detrended Fluctuation Analysis to the RR intervals time series. The mathematical background of the ADFA method is discussed in the context of heart rate variability and heart rate asymmetry. We calculate the \(\alpha^+\) and \(\alpha^-\) ADFA scaling exponents for 100 RR intervals time series recorded in a group of healthy volunteers (20–40 years of age) with the use of the local ADFA. It is found that on average \(\alpha^+ < \alpha^-\), and that locally \(\alpha^-\) dominates most of the time over \(\alpha^+\) – both results are highly statistically significant.

MSC:

60G50 Sums of independent random variables; random walks
37M10 Time series analysis of dynamical systems

References:

[1] Sassi, R.; Cerutti, S.; Lombardi, F.; Malik, M.; Huikuri, H. V.; Peng, C. K.; Schmidt, G.; Yamamoto, Y., Advances in heart rate variability signal analysis: Joint position statement by the e-Cardiology ESC Working Group and the European Heart Rhythm Association co-endorsed by the Asia Pacific Heart Rhythm Society, the e-Cardiology ESC Working Group and the European Heart Rhythm Association co-endorsed the Asia Pacific Heart Rhythm Society, 17, 1341-1353 (2015)
[2] Peng, C. K.; Buldyrev, S. V.; Havlin, S.; Simons, M.; Stanley, H. E.; Goldberger, A. L., Mosaic organization of DNA nucleotides, Phys. Rev. E, 49, 1685-1689 (1994)
[3] Peng, C. K.; Havlin, S.; Stanley, H. E.; Goldberger, A. L., Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series, Chaos, 5, 82-87 (1995)
[4] Piskorski, J.; Guzik, P., Geometry of the Poincaré plot of RR intervals and its asymmetry in healthy adults, Physiol. Meas., 28, 287-300 (2007)
[5] Piskorski, J.; Guzik, P., The structure of heart rate asymmetry: deceleration and acceleration runs, Physiol. Meas., 32, 1011-1023 (2011)
[6] Ramirez, J. A.; Rodrigues, E.; Echeverria, J. C., A DFA approach for assessing asymmetric correlations, Physica A, 388, 2263-2270 (2009)
[7] Rivera-Castro, M. A.; Miranda, J. G.V.; Cajueiro, D. O.; Andrade, R. F.S., Detecting switching points using asymmetric detrended fluctuation analysis, Physica A, 391, 170-179 (2012)
[8] Sethna, J. P., Statistical Mechanics: Entropy, Order Parameters and Complexity (2006) · Zbl 1140.82004
[9] Goldberger, A. L.; Amaral, L. A.N.; Glass, L.; Hausdor, J. M.; Ivanov, P. Ch.; Mark, R. G.; Mietus, J. E.; Moody, G. B.; Peng, C. K.; Stanley, H. E., PhysioBank, Physio-Toolkit, and Physionet: Components of a new research resource for complex physiologic signals, Circulation, 101, e215-e220 (2001)
[10] Guzik, P.; Piskorski, J.; Barthel, P.; Bauer, A.; Müller, A.; Junk, N.; Ulm, K.; Malik, M.; Schmidt, G., Heart rate deceleration runs for postinfarction risk prediction, J. Electrocardiol., 45, 70-75 (2012)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.