Generalized Multiscale Entropy Analysis: Application to Quantifying the Complex Volatility of Human Heartbeat Time Series

Entropy

Madalena D. Costa¹  Ary L. Goldberger¹ 

[1] Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, MA 02215, USA

关键词: aging;    complexity;    entropy;    fractal;    heart rate;    multiscale entropy;    nonlinear dynamics;   

DOI  :  10.3390/e17031197

来源: mdpi

【 摘 要 】

We introduce a generalization of multiscale entropy (MSE) analysis. The method is termed MSE_n, where the subscript denotes the moment used to coarse-grain a time series. MSE_μ, described previously, uses the mean value (first moment). Here, we focus on MSE_σ2, which uses the second moment, i.e., the variance. MSE_σ2 quantifies the dynamics of the volatility (variance) of a signal over multiple time scales. We use the method to analyze the structure of heartbeat time series. We find that the dynamics of the volatility of heartbeat time series obtained from healthy young subjects is highly complex. Furthermore, we find that the multiscale complexity of the volatility, not only the multiscale complexity of the mean heart rate, degrades with aging and pathology. The “bursty” behavior of the dynamics may be related to intermittency in energy and information flows, as part of multiscale cycles of activation and recovery. Generalized MSE may also be useful in quantifying the dynamical properties of other physiologic and of non-physiologic time series.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland