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Detection of changes in the fractal scaling of heart rate and speed in a marathon race

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  • Billat, Véronique L.
  • Mille-Hamard, Laurence
  • Meyer, Yves
  • Wesfreid, Eva

Abstract

The aim of this study was to detect changes in the fractal scaling behavior of heart rate and speed fluctuations when the average runner’s speed decreased with fatigue. Scaling analysis in heart rate (HR) and speed (S) dynamics of marathon runners was performed using the detrended fluctuation analysis (DFA) and the wavelet based structure function. We considered both: the short-range (α1) and the long-range (α2) scaling exponents for the DFA method separated by a change-point, n0=64=5.3min (box length), the same for all the races. The variability of HR and S decreased in the second part of the marathon race, while the cardiac cost time series (i.e. the number of cardiac beats per meter) increased due to the decreasing speed behavior. The scaling exponents α1 and α2 of HR and α1 of S, increased during the race (p<0.01) as did the HR wavelet scaling exponent (τ). These findings provide evidence of the significant effect of fatigue induced by long exercise on the heart rate and speed variability.

Suggested Citation

  • Billat, Véronique L. & Mille-Hamard, Laurence & Meyer, Yves & Wesfreid, Eva, 2009. "Detection of changes in the fractal scaling of heart rate and speed in a marathon race," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3798-3808.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:18:p:3798-3808
    DOI: 10.1016/j.physa.2009.05.029
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    1. Davis, Richard A. & Lee, Thomas C.M. & Rodriguez-Yam, Gabriel A., 2006. "Structural Break Estimation for Nonstationary Time Series Models," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 223-239, March.
    2. Nagarajan, Radhakrishnan & Kavasseri, Rajesh G., 2005. "Minimizing the effect of trends on detrended fluctuation analysis of long-range correlated noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 182-198.
    3. Stanley, H.E. & Amaral, L.A.N. & Goldberger, A.L. & Havlin, S. & Ivanov, P.Ch. & Peng, C.-K., 1999. "Statistical physics and physiology: Monofractal and multifractal approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 309-324.
    4. Ivanov, P.Ch & Rosenblum, M.G & Peng, C.-K & Mietus, J.E & Havlin, S & Stanley, H.E & Goldberger, A.L, 1998. "Scaling and universality in heart rate variability distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 587-593.
    5. Zhuang, Jian Jun & Ning, Xin Bao & He, Ai Jun & Zou, Ming & Sun, Biao & Wu, Xu Hui, 2008. "Alteration in scaling behavior of short-term heartbeat time series for professional shooting athletes from rest to exercise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6553-6557.
    6. Jean‐Marc Bardet & Pierre Bertrand, 2007. "Identification of the multiscale fractional Brownian motion with biomechanical applications," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(1), pages 1-52, January.
    7. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
    8. Plamen Ch. Ivanov & Luís A. Nunes Amaral & Ary L. Goldberger & Shlomo Havlin & Michael G. Rosenblum & Zbigniew R. Struzik & H. Eugene Stanley, 1999. "Multifractality in human heartbeat dynamics," Nature, Nature, vol. 399(6735), pages 461-465, June.
    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.
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    1. Wesfreid, Eva & Billat, Véronique, 2012. "Randomness and changes of heart rate and respiratory frequency during high altitude mountain ascent without acclimatization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1575-1590.
    2. Claire A. Molinari & Pierre Bresson & Florent Palacin & Véronique Billat, 2021. "Pace Controlled by a Steady-State Physiological Variable Is Associated with Better Performance in a 3000 M Run," IJERPH, MDPI, vol. 18(15), pages 1-11, July.
    3. Billat, Véronique & Brunel, Nicolas J-B. & Carbillet, Thomas & Labbé, Stéphane & Samson, Adeline, 2018. "Humans are able to self-paced constant running accelerations until exhaustion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 290-304.
    4. Billat, Véronique & Carbillet, Thomas & Correa, Matthieu & Pycke, Jean-Renaud, 2019. "Detecting the marathon asymmetry with a statistical signature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 240-247.

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