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STATISTICAL PROPERTIES OF THE INTERBEAT INTERVAL CASCADE IN HUMAN HEARTS

FATEMEH GHASEMI

Department of Physics, Sharif University of Technology, Tehran 11365, Iran

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J. PEINKE

Carl von Ossietzky University, Institute of Physics, D-26111 Oldenburg, Germany

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M. REZA RAHIMI TABAR

Carl von Ossietzky University, Institute of Physics, D-26111 Oldenburg, Germany

CNRS UMR 6529, Observatoire de la Côte d'Azur, BP 4229, 06304 Nice Cedex 4, France

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, and

MUHAMMAD SAHIMI

Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, California 90089-1211, USA

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https://doi.org/10.1142/S0129183106008704Cited by:11 (Source: Crossref)

Abstract

Statistical properties of interbeat intervals cascade in human hearts are evaluated by considering the joint probability distribution P (Δx₂, τ₂; Δx₁, τ₁) for two interbeat increments Δx₁ and Δx₂ of different time scales τ₁ and τ₂. We present evidence that the conditional probability distribution P (Δx₂, τ₂ | Δx₁, τ₁) may be described by a Chapman–Kolmogorov equation. The corresponding Kramers–Moyal (KM) coefficients are evaluated. The analysis indicates that while the first and second KM coefficients take on well-defined and significant values, the higher-order coefficients in the KM expansion are small. As a result, the joint probability distributions of the increments in the interbeat intervals are described by a Fokker–Planck equation, with the first two KM coefficients acting as the drift and diffusion coefficients. The method provides a novel technique for distinguishing two classes of subjects, namely, healthy ones and those with congestive heart failure, in terms of the drift and diffusion coefficients which behave differently for two classes of the subjects.

Keywords:

PACS: 05.10.Gg, 05.40.-a, 05.45.Tp, 87.19.Hh

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