학술논문
Healthy versus congestive heart failure patients---an approach via the Hurst parameter.
Document Type
Journal
Author
Fenoy, M. (E-MADCM-IMI) AMS Author Profile; Muñoz-Fernández, G. A. (E-MADCM-IMI) AMS Author Profile; Pareja Monturiol, J. R. (E-MADCM-OR) AMS Author Profile; Seoane-Sepúlveda, J. B. (E-MADCM-IMI) AMS Author Profile
Source
Subject
60 Probability theory and stochastic processes -- 60G Stochastic processes
60G22Fractional processes, including fractional Brownian motion
62Statistics -- 62M Inference from stochastic processes
62M10Time series, auto-correlation, regression, etc.
92Biology and other natural sciences -- 92B Mathematical biology in general
92B15General biostatistics
60G22
62
62M10
92
92B15
Language
English
ISSN
18787274
Abstract
Summary: ``The rhythm of the human heart is influenced by the nervoussystem and certain feedback mechanisms inducing variability to it. Thisheart rate variation (HRV) is reflected in the data we obtain from anelectrocardiogram, data such as the RR intervals which are commonlyused in this context. The point of this research area is to find amodel capable of describing the HRV. Some of the widely-used techniquesfor this purpose are time series models (ARFIMA, ARFIMA-GARCH),stochastic models or the study of different complexity measures. Withthe application of these techniques many studies conclude that the HRVdata display non-stationary, non-linear and scale invariantcharacteristics, and exhibit long-term correlations. In this study, wegive an approach to this problem based on the Hurst parameter, ameasure of the fractality of the data. This allows us to obtain a wayof finding statistical significant differences by means of confidenceintervals between healthy subjects and congestive heart failurepatients.''