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Application of statistical physics to heartbeat diagnosis

Author

Listed:
  • Havlin, S
  • Amaral, L.A.N
  • Ashkenazy, Y
  • Goldberger, A.L
  • Ivanov, P.Ch
  • Peng, C.-K
  • Stanley, H.E

Abstract

We present several recent studies based on statistical physics concepts that can be used as diagnostic tools for heart failure. We describe the scaling exponent characterizing the long-range correlations in heartbeat time series as well as the multifractal features recently discovered in heartbeat rhythm. It is found that both features, the long-range correlations and the multifractility, are weaker in cases of heart failure.

Suggested Citation

  • Havlin, S & Amaral, L.A.N & Ashkenazy, Y & Goldberger, A.L & Ivanov, P.Ch & Peng, C.-K & Stanley, H.E, 1999. "Application of statistical physics to heartbeat diagnosis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 99-110.
    • Handle: RePEc:eee:phsmap:v:274:y:1999:i:1:p:99-110
    DOI: 10.1016/S0378-4371(99)00333-7
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    Cited by:

    1. Knežević, Andrea & Martinis, Mladen & Krstačić, Goran & Vargović, Emil, 2005. "Changes in multifractal properties for stable angina pectoris," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 505-515.
    2. Jean-Marc Bardet & Imen Kammoun & Veronique Billat, 2012. "A new process for modeling heartbeat signals during exhaustive run with an adaptive estimator of its fractal parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(6), pages 1331-1351, December.
    3. Dudkowska, A. & Makowiec, D., 2004. "Sleep and wake phase of heart beat dynamics by artificial insymmetrised patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 174-180.
    4. Rodriguez, Eduardo & Echeverria, Juan C. & Alvarez-Ramirez, Jose, 2009. "Fractality in electrocardiographic waveforms for healthy subjects and patients with ventricular fibrillation," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1046-1054.
    5. Sy-Sang Liaw & Jiann-Yeu Chen, 2017. "Characterizing Sleep Stages by the Fractal Dimensions of Electroencephalograms," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 2(2), pages 41-47, July.
    6. Rodriguez, Eduardo & Echeverria, Juan C. & Alvarez-Ramirez, Jose, 2007. "Detrended fluctuation analysis of heart intrabeat dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 429-438.
    7. Telesca, Luciano & Nikolitanga, Irini & Vallianatos, Filippos, 2006. "Time-scaling analysis of southern Aegean seismicity," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 361-366.
    8. Delignières, Didier & Marmelat, Vivien, 2014. "Strong anticipation and long-range cross-correlation: Application of detrended cross-correlation analysis to human behavioral data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 47-60.
    9. Ivanov, Plamen Ch. & Chen, Zhi & Hu, Kun & Eugene Stanley, H., 2004. "Multiscale aspects of cardiac control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 685-704.
    10. Santos, J.V.C. & Moreira, D.M. & Moret, M.A. & Nascimento, E.G.S., 2019. "Analysis of long-range correlations of wind speed in different regions of Bahia and the Abrolhos Archipelago, Brazil," Energy, Elsevier, vol. 167(C), pages 680-687.
    11. Bickel, David R. & Lai, Dejian, 2001. "Asymptotic distribution of time-series intermittency estimates: applications to economic and clinical data," Computational Statistics & Data Analysis, Elsevier, vol. 37(4), pages 419-431, October.

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