Analysis of Non-stationary Data for Heart-rate Fluctuations in Terms of Drift and Diffusion Coefficients |
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| Authors: | F. Ghasemi Muhammad Sahimi J. Peinke M. Reza Rahimi Tabar |
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| Affiliation: | 1.Institute for Studies in Theoretical Physics and Mathematics, P.O.Box 19395-5531, Tehran, Iran ;2.Department of Chemical Engineering, University of Southern California, Los Angeles, California, 90089-1211 USA ;3.Carl von Ossietzky University, Institute of Physics, D-26111 Oldenburg, Germany ;4.CNRS UMR 6202, Observatoire de la Côte d’Azur, BP 4229, 06304 Nice Cedex 4, France ;5.Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, 11365 Iran |
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| Abstract: | We describe a method for analyzing the stochasticity in non-stationary data for the beat-to-beat fluctuations in the heart rates of healthy subjects, as well as those with congestive heart failure. The method analyzes the return time series of the data as a Markov process, and computes the Markov time scale, i.e., the time scale over which the data are a Markov process. We also construct an effective stochastic continuum equation for the return series. We show that the drift and diffusion coefficients, as well as the amplitude of the return time series for healthy subjects are distinct from those with CHF. Thus, the method may potentially provide a diagnostic tool for distinguishing healthy subjects from those with congestive heart failure, as it can distinguish small differences between the data for the two classes of subjects in terms of well-defined and physically-motivated quantities. PACS: 05.10.Gg 05.40.-a, 05.45.Tp, 87.19.Hh |
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| Keywords: | non-stationary time series heart interbeat Fokker-Planck equation drift and diffusion |
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