We explore the degree to which concepts developed in statistical physics can be usefully applied to physiological signals. We illustrate the problems related to physiologic signal analysis with representative examples of human heartbeat dynamics under healthy and pathologic conditions. We first review recent progress based on two analysis methods, power spectrum and detrended fluctuation analysis, used to quantify long-range power-law correlations in noisy heartbeat fluctuations. The finding of power-law correlations indicates presence of scale-invariant, fractal structures in the human heartbeat. These fractal structures are represented by self-affine cascades of beat-to-beat fluctuations revealed by wavelet decomposition at different time scales. We then describe very recent work that quantifies multifractal features in these cascades, and the discovery that the multifractal structure of healthy dynamics is lost with congestive heart failure. The analytic tools we discuss may be used on a wide range of physiologic signals.
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September 2001
Research Article|
September 01 2001
From noise to multifractal cascades in heartbeat dynamics Available to Purchase
Plamen Ch. Ivanov;
Plamen Ch. Ivanov
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Harvard Medical School, Beth Israel Deaconess Medical Center, Boston, Massachusetts 02215
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Luı́s A. Nunes Amaral;
Luı́s A. Nunes Amaral
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
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Ary L. Goldberger;
Ary L. Goldberger
Harvard Medical School, Beth Israel Deaconess Medical Center, Boston, Massachusetts 02215
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Shlomo Havlin;
Shlomo Havlin
Gonda Goldschmid Center and Department of Physics, Bar-Ilan University, Ramat Gan, Israel
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Michael G. Rosenblum;
Michael G. Rosenblum
Department of Physics, Potsdam University, D-14415 Potsdam, Germany
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H. Eugene Stanley;
H. Eugene Stanley
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
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Zbigniew R. Struzik
Zbigniew R. Struzik
Centre for Mathematics and Computer Science, Kruislaan 413, NL-1098 SJ Amsterdam, The Netherlands
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Plamen Ch. Ivanov
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Harvard Medical School, Beth Israel Deaconess Medical Center, Boston, Massachusetts 02215
Luı́s A. Nunes Amaral
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Ary L. Goldberger
Harvard Medical School, Beth Israel Deaconess Medical Center, Boston, Massachusetts 02215
Shlomo Havlin
Gonda Goldschmid Center and Department of Physics, Bar-Ilan University, Ramat Gan, Israel
Michael G. Rosenblum
Department of Physics, Potsdam University, D-14415 Potsdam, Germany
H. Eugene Stanley
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Zbigniew R. Struzik
Centre for Mathematics and Computer Science, Kruislaan 413, NL-1098 SJ Amsterdam, The Netherlands
Chaos 11, 641–652 (2001)
Article history
Received:
April 18 2001
Accepted:
June 21 2001
Citation
Plamen Ch. Ivanov, Luı́s A. Nunes Amaral, Ary L. Goldberger, Shlomo Havlin, Michael G. Rosenblum, H. Eugene Stanley, Zbigniew R. Struzik; From noise to multifractal cascades in heartbeat dynamics. Chaos 1 September 2001; 11 (3): 641–652. https://doi.org/10.1063/1.1395631
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