Entropy-based measures for quantifying sleep-stage transition dynamics: Relationship to sleep fragmentation and daytime sleepiness

IEEE Transactions on Biomedical Engineering

Volumn 59, Issue 3, 2012, Pages 787-796

  Kirsch, Matthew R ^a   Monahan, Ken ^b   Weng, Jia ^c   Redline, Susan ^c   Loparo, Kenneth A ^a  

^a Case Western Reserve University   (United States)

^b VANDERBILT UNIVERSITY MEDICAL CENTER   (United States)

^c BRIGHAM AND WOMEN S HOSPITAL   (United States)

Author keywords

Categorical time series; conditional entropy (CE); daytime sleepiness; Haar transform; hypnogram; polysomnogram; Shannon entropy; sleep fragmentation; spectral entropy; Walsh transform

Indexed keywords

CONDITIONAL ENTROPY (CE); DAYTIME SLEEPINESS; HAAR TRANSFORM; HYPNOGRAM; POLYSOMNOGRAM; SHANNON ENTROPY; SLEEP FRAGMENTATION; SPECTRAL ENTROPY;

DYNAMICS; LINEAR REGRESSION; TIME SERIES; WALSH TRANSFORMS;

SLEEP RESEARCH;

ADULT; ARTICLE; BODY MASS; ENTROPY; ETHNICITY; FEMALE; GROUPS BY AGE; HUMAN; MAJOR CLINICAL STUDY; MALE; MATHEMATICAL COMPUTING; POLYSOMNOGRAPHY; SEX DIFFERENCE; SLEEP QUALITY; SLEEP STAGE; SOMNOLENCE;

ADULT; AROUSAL; CIRCADIAN RHYTHM; COHORT STUDIES; DISORDERS OF EXCESSIVE SOMNOLENCE; ELECTROENCEPHALOGRAPHY; ELECTROMYOGRAPHY; ENTROPY; FEMALE; HUMANS; MALE; OHIO; PLETHYSMOGRAPHY; POLYSOMNOGRAPHY; REPRODUCIBILITY OF RESULTS; SLEEP DEPRIVATION; SLEEP STAGES;

EID: 84857524143     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2011.2179032     Document Type: Article

References (27)

1. T. Penzel, C. C. Lo, P. C. Ivanov, K. Kesper, H.F. Becker, and C. Vogelmeier, "Analysis of sleep fragmentation and sleep structure in patients with sleep apnea and normal volunteers," in Proc. 27th Annu. Int. Conf. IEEE Eng. Med. Biol. Soc., 2005, pp. 2591-2594. (Pubitemid 46229448)
2. M. T. Bianchi, S. S. Cash, J. Mietus, C.-K. Peng, and R. Thomas, "Obstructive sleep apnea alters sleep stage transition dynamics," PLoS ONE, vol. 5, no. 6, art. no. e11356, Jun. 2010.
3. A. Kishi, Z. R. Struzik, B. H.Natelson, F. Togo, and Y. Yamamoto, "Dynamics of sleep stage transitions in healthy humans and patients with chronic fatigue syndrome," Amer. J. Physiol. Regul. Integr. Comp. Physiol., vol. 294, pp. R1980-R1987, Jun. 2008.
4. M. J. Morrell, L. Finn, H.Kim, P. E. Peppard, M. S. Badr, and T. Young, "Sleep fragmentation, awake blood pressure, and sleep-disordered breathing in a population-based study," Amer. J. Respirat. Crit. Care Med., vol. 162, no. 6, pp. 2091-2096, 2000. (Pubitemid 32051669)
5. J. Haba-Rubio, V. Ibanez, and E. Sforza, "An alternative measure of sleep fragmentation in clinical practice: The sleep fragmentation index," Sleep Med., vol. 5, no. 6, pp. 577-581, 2004. (Pubitemid 39420036)
6. V. Swarnkar, U. R. Abeyratne, C. Hurkins, and B. Duce, "A state transition-based method for quantifying EEG sleep fragmentation," Med. Biol. Eng. Comput., vol. 47, pp. 1053-1061, 2009.
7. B. Kedem and K. Fokianos, Regression Models for Time Series Analysis. Hoboken, NJ: Wiley-Interscience, 2002.
8. D. S. Stoffer, M. S. Scher, G. A. Richardson, N. L. Day, and P. A. Coble, "A Walsh-Fourier analysis of the effects of moderate maternal alcohol consumption on neonatal sleep-state cycling," J. Amer. Statist. Assoc., vol. 83, no. 404, pp. 954-963, Dec. 1988.
9. D. S. Stoffer, "Walsh-Fourier analysis of discrete-valued time series," J. Time Series Anal., vol. 8, no. 4, pp. 449-467, Jul. 1987.
10. D. S. Stoffer, "Walsh-Fourier analysis and its statistical applications," J. Amer. Statist. Assoc., vol. 86, no. 414, pp. 461-480, Jun. 1991.
11. W. Wang and D. H.Johnson, "Computing linear transforms of symbolic signals," IEEE Trans. Signal Process., vol. 50, no. 3, pp. 628-634, Mar. 2002. (Pubitemid 34295104)
12. L.Wang andD. Schonfeld, "Mapping equivalence for symbolic sequences: Theory and applications," IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4895-4905, Dec. 2009.
13. N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing. New York: Springer-Verlag, 1975.
14. J. L. Walsh, "A closed set of normal orthogonal functions," Amer. J. Math., vol. 45, no. 1, pp. 5-24, Jan. 1923.
15. A. Haar, "Zur Theorie der orthogonalen funktionensysteme," Mathematische Annalen, vol. 69, no. 3, pp. 331-371, 1910.
16. C. E. Shannon, "A mathematical theory of communication," Bell Syst. TecH.J., vol. 27, pp. 623-656, Oct. 1948.
17. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1984.
18. A. Porta, G. Baselli, D. Liberati, N. Montano, C. Cogliati, T. Gnecchi-Ruscone, A. Malliani, and S. Cerutti, "Measuring regularity by means of a corrected conditional entropy in sympathetic outflow," Biol. Cybern., vol. 78, pp. 71-78, 1998. (Pubitemid 128636376)
19. I. A. Rezek and S. J. Roberts, "Stochastic complexity measures for physiological signal analysis," IEEE Trans. Biomed. Eng., vol. 45, no. 9, pp. 1186-1191, Sep. 1998. (Pubitemid 28385739)
20. M. R. Kirsch, "Signal processing algorithms for analysis of categorical and numerical time series: application to sleep study data," M.S. Thesis, Dept. Elect. Eng. Comput. Sci., Case Western Reserve Univ., Cleveland, OH, 2010.
21. S. Redline, P. V. Tishler, T. D. Tosteson, J. Williamson, K. Kump, I. Browner, V. Ferrette, and P. Krejci, "The familial aggregation of obstructive sleep apnea," Amer. J. Respirat. Crit. Care Med., vol. 151, no. 3, pp. 682-687, Mar. 1995.
22. L. J. Palmer, S. G. Buxbaum, E. Larkin, S. R. Patel, R. C. Elston, P. V. Tishler, and S. Redline, "A whole-genome scan for obstructive sleep apnea and obesity," Amer. J. Human Genet., vol. 72, no. 2, pp. 340-350, Feb. 2003. (Pubitemid 36194243)
23. S. Redline, M. H.Sanders, B. K. Lind, S. F. Quan, C. Iber, D. J. Gottlieb, W. H.Bonekat, D. M. Rapoport, P. L. Smith, and J. P. Kiley, "Methods for obtaining and analyzing unattended polysomnography data for a multicenter study. Sleep Heart Health Research Group," Sleep, vol. 21, pp. 759-767, 1998. (Pubitemid 28516167)
24. A. Rechtschaffen and A. Kales, A Manual of Standardized Terminology, Techniques and Scoring System for Sleep Stages of Human Subjects. U.S. Dept. of Health, Education, and Welfare, Bethesda, MD, 1968.
25. M. Bonnet, D. Carley, M. Carskadon, P. Easton, C. Guilleminault, R. Harper, B. Hayes, M. Hirshkowitz, K. Periklis, S. Keenan, M. Pressman, T. Roehrs, J. Smith, J. Walsh, S. Weber, and P. Westbrook, "EEG arousals: Scoring rules and examples: A preliminary report from the Sleep Disorders Atlas Task Force of the American Sleep Disorders Association," Sleep, vol. 15, pp. 173-184, 1992.
26. M.W. Johns, "Sleepiness in different situations measured by the Epworth Sleepiness Scale," Sleep, vol. 18, pp. 703-710, 1994.
27. M. W. Johns, "Reliability and factor analysis of the Epworth Sleepiness Scale," Sleep, vol. 15, pp. 376-381, 1992.