How random is your heart beat?

Physica A: Statistical Mechanics and its Applications

Volumn 384, Issue 2, 2007, Pages 439-447

  Urbanowicz, Krzysztof ^a,b   Zebrowski, Jan J ^a   Baranowski, Rafał ^c   Hołyst, Janusz A ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c INSTITUTE OF CARDIOLOGY   (Poland)

Author keywords

Heart rate variability; Noise estimation

Indexed keywords

CORRELATION METHODS; ENTROPY; STATISTICAL MECHANICS;

ATRIAL FIBRILLATION; HEART RATE VARIABILITY; NOISE ESTIMATION;

CARDIOLOGY;

EID: 34548139775     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.05.052     Document Type: Article

References (29)

1. Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology. Heart rate variability standards of measurement, physiological interpretation and clinical use. Circulation 93 (1996) 1043-1065
2. Bayés da Luna A. Clinical Electrocardiography: A Textbook (1998), Futura Publishing
3. Stein K.M., Walden J., Lippman N., and Lerman B.R. Ventricular response in atrial fibrillation: random or deterministic. Am. J. Physiol. 277 (1999) 452-458
4. Stanley G.B., Poolla K., and Siegel R.A. Threshold modeling of autonomic control of heart rate variability. IEEE Trans. Biomed. Eng. 47 (2000) 1147-1153
5. Stanley H.E., et al. Statistical physics and physiology: monofractal and multifractal approaches. Physica A 270 (1999) 309-324
6. Kuusela T. Stochastic heart rate model can reveal pathologic cardiac dynamics. Phys. Rev. E 69 (2004) 031916
7. Eke A., Herman P., Kocsis L., and Kozak L.R. Fractal characterization of complexity in temporal physiological signals. Physiol. Meas. 23 (2002) 1-38
8. Stein P.K., Domitrovich P.P., Huikuri H.V., and Kleiger R.E. Traditional and nonlinear heart rate variability are each independently associated with mortality after myocardial infarction. J. Cardiovasc. Electrophys. 16 (2005) 13-20
9. Yulmetyev R., Hanggi P., and Gafarov F. Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes. Phys. Rev. E 65 (2002) 046107
10. Kuusela T., Shepherd T., and Hietarinta J. Stochastic model for heart rate fluctuations. Phys. Rev. E 67 (2003) 061904
11. Groome L.J., et al. Human fetuses have nonlinear cardiac dynamics. J. Appl. Physiol. 87 (1999) 530-537
12. Baselli G., Cerutti S., Porta A., and Signorini M.G. Short and long term non-linear analysis of RR variability series. Med. Eng. Phys. 24 (2002) 21-32
13. He Z.Y., Pei W.J., Yang L.X., Hull S.S., and Cheung J.Y. Modeling and characterizing deterministic component of heart rate variability by cluster-weighted filtering. Int. J. Bifurcat. Chaos 12 (2002) 2967-2976
14. Denton T.A., Diamond G.A., Helfant R.H., Khan S., and Karagueuzian H. Fascinating rhythm: a primer on chaos theory and its application to cardiology. Am. Heart J. 120 (1990) 1419-1440
15. Żebrowski J.J., and Baranowski R. Direct observation of homoclinic orbits in human heart rate variability. Phys. Rev. E 67 (2003) 056216
16. Żebrowski J.J., Popławska W., and Baranowski R. Entropy, pattern entropy, and related methods for the analysis of data on the time intervals between heartbeats from 24-h electrocardiograms. Phys. Rev. E 50 (1994) 4187-4205
17. Voss A., Hnatkova K., Wessel N., Kurth J., Sander A., Schirdewan A., Camm A.J., and Malik M. Multiparametric analysis of heart rate variability used for risk stratification among survivors of acute myocardial infraction. PACE 21 (1998) 186-192
18. Marwan N., Wessel N., Meyerfeldt U., Schirdewan A., and Kurths J. Recurrence-plot-based measures of complexity and their application to heart-rate-variability data. Phys. Rev. E 66 2 (2002) 026702
19. Costa M., Goldberger A.L., and Peng C.K. Multiscale entropy analysis of complex physiologic time series. Phys. Rev. Lett. 89 6 (2002) 068102
20. Urbanowicz K., and Hołyst J.A. Noise-level estimation of time series using coarse-grained entropy. Phys. Rev. E 67 (2003) 046218
21. Cencini M., Falcioni M., Olbrich E., Kantz H., and Vulpiani A. Chaos or noise: difficulties of a distinction. Phys. Rev. E 62 1 (2000) 427-437
22. Naschitz J.E., et al. Search for disease-specific cardiovascular reactivity patterns: developing the methodology. Clin. Sci. 108 (2005) 37-46
23. Wu Z.B. Recurrence plot analysis of DNA sequences. Phys. Lett. A 332 (2004) 250-255
24. Thiel M., Romano M.C., and Kurths J. How much information is contained in a recurrence plot?. Phys. Lett. A 330 (2004) 343-349
25. Wei W.W.S. Time Series Analysis. Univariate and Multivariate Methods (1990), Addison-Wesley Publishing Company, New York, Amsterdam, Sydney, Bonn, Madrid, Singapore, Tokyo
26. Urbanowicz K., Hołyst J.A., Stemler T., and Benner H. Acta Phys. Pol. B 35 (2004) 2175 arXiv:cond-mat/0308554
27. Grassberger P., Hegger R., Kantz H., Schaffrath C., and Schreiber T. On noise reduction methods for chaotic data. Chaos 3 (1993) 127
28. For limitations of noise reduction schemes, see H. Kantz at 〈http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.1/docs/chaospape r/node24.htmlwww.mpipks-dresden.mpg.de/~tisean/TISEAN_2.1/docs/chaospape r/node24.html〉.
29. Żebrowski J.J., Popławska W., Baranowski R., and Buchner T. Measuring the complexity of non-stationary time series-nonlinear interpretations of selected physiological processes. Acta Phys. Pol. B 30 (1999) 2547-2570