Dynamical heart beat correlations during running

Figures

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  Figure 1. Beat-to-beat (RR) interval correlations for the Marathon race of subject M1. Note that the upper-left and upper-right color bars refer to (a, c) and (b, d), respectively. (a) Color-coded dynamic (DDFA-1) scaling exponent \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha (t,s)$$\end{document}α(t,s) on different scales s (y-axis) as a function of binned HR (x-axis). Here \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha (t,s)$$\end{document}α(t,s) is averaged over those dynamic segments, whose average HR falls within 0.1 BPM wide bins. The values for empty bins are linearly interpolated if the gap does not exceed 0.5 BPM. The black solid line shows the mean together with the standard deviation (thin lines) and the the standard error of the mean (thick lines, barely visible) of the conventional short-scale (4–16…

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  Figure 2. Aggregate beat-to-beat (RR) interval correlations as a function of heart rate for all subjects of group M. (a) Average values for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha (t,s)$$\end{document}α(t,s) for each scale s (y-axis) and HR bin (x-axis). The solid line depicts the conventional short-range \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha _1$$\end{document}α1. (b) Average values for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}(t,\tau )$$\end{document}C(t,τ) for each lag \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}…

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  Figure 3. Beat-to-beat RR interval correlations for one interval exercise from group T. (a) Dynamic scaling exponents (DDFA-1) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha (t,s)$$\end{document}α(t,s) (colors) and the conventional short-range \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha _1$$\end{document}α1 (solid line) as a function of the binned HR. (b) DPACF-0 correlations \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}(t,\tau )$$\end{document}C(t,τ) as a function of the binned HR. (c, d) As in (a, b) but as a function of time, and in (c) the HR value is overlaid on the data. For details on the data processing, see the…

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  Figure 4. Aggregate beat-to-beat (RR) interval correlations for all the exercises of one subject (T07) in group T. (a) Average values for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha (t,s)$$\end{document}α(t,s) for each scale s (y-axis) and binned HR (x-axis). The solid line shows the conventional short-range \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha _1$$\end{document}α1. (b) Average values for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}(t,\tau )$$\end{document}C(t,τ) for each lag \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}…