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基于心电图中确定性混沌的证据:替代分析与可预测性分析。

On the evidence of deterministic chaos in ECG: Surrogate and predictability analysis.

作者信息

Govindan R. B., Narayanan K., Gopinathan M. S.

机构信息

Department of Chemistry, Indian Institute of Technology, Madras, Chennai, India-600 036.

出版信息

Chaos. 1998 Jun;8(2):495-502. doi: 10.1063/1.166330.

Abstract

The question whether the human cardiac system is chaotic or not has been an open one. Recent results in chaos theory have shown that the usual methods, such as saturation of correlation dimension D(2) or the existence of positive Lyapunov exponent, alone do not provide sufficient evidence to confirm the presence of deterministic chaos in an experimental system. The results of surrogate data analysis together with the short-term prediction analysis can be used to check whether a given time series is consistent with the hypothesis of deterministic chaos. In this work nonlinear dynamical tools such as surrogate data analysis, short-term prediction, saturation of D(2) and positive Lyapunov exponent have been applied to measured ECG data for several normal and pathological cases. The pathology presently studied are PVC (Premature Ventricular Contraction), VTA (Ventricular Tachy Arrhythmia), AV (Atrio-Ventricular) block and VF (Ventricular Fibrillation). While these results do not prove that ECG time series is definitely chaotic, they are found to be consistent with the hypothesis of chaotic dynamics. (c) 1998 American Institute of Physics.

摘要

人类心脏系统是否混沌一直是个悬而未决的问题。混沌理论的最新研究结果表明,诸如关联维数D(2)饱和或正李雅普诺夫指数的存在等常用方法,单独并不能提供足够的证据来证实实验系统中存在确定性混沌。替代数据分析的结果与短期预测分析一起,可用于检验给定的时间序列是否符合确定性混沌的假设。在这项工作中,诸如替代数据分析、短期预测、D(2)饱和及正李雅普诺夫指数等非线性动力学工具已被应用于多个正常和病理病例的心电图测量数据。目前研究的病理情况包括室性早搏(PVC)、室性快速心律失常(VTA)、房室(AV)传导阻滞和心室颤动(VF)。虽然这些结果并未证明心电图时间序列绝对混沌,但发现它们与混沌动力学假设是一致的。(c) 1998美国物理研究所。

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