dorsal/arxiv
View SchemaLong-range dependencies in heart rate signals- revisited
| Authors | Danuta Makowiec, Rafal Galaska, Aleksandra Dudkowska, Andrzej Rynkiewicz, Marcin Zwierz |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0510044 |
| URL | https://arxiv.org/abs/q-bio/0510044 |
| DOI | 10.1016/j.physa.2006.02.038 |
Abstract
The RR series extracted from human electrocardiogram signal (ECG) is considered as a fractal stochastic process. The manifestation of long-range dependencies is the presence of power laws in scale dependent process characteristics. Exponents of these laws: $\beta$ - describing power spectrum decay, $\alpha$ - responsible for decay of detrended fluctuations or $H$ related to, so-called, roughness of a signal, are known to differentiate hearts of healthy people from hearts with congestive heart failure. There is a strong expectation that resolution spectrum of exponents, so-called, local exponents in place of global exponents allows to study differences between hearts in details. The arguments are given that local exponents obtained in multifractal analysis by the two methods: wavelet transform modulus maxima (WTMM) and multifractal detrended fluctuation analysis (MDFA), allow to recognize the following four stages of the heart: healthy and young, healthy and advance in years, subjects with left ventricle systolic dysfunction (NYHA I--III class) and characterized by severe congestive heart failure (NYHA III-IV class).
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"abstract": "The RR series extracted from human electrocardiogram signal (ECG) is\nconsidered as a fractal stochastic process. The manifestation of long-range\ndependencies is the presence of power laws in scale dependent process\ncharacteristics. Exponents of these laws: $\\beta$ - describing power spectrum\ndecay, $\\alpha$ - responsible for decay of detrended fluctuations or $H$\nrelated to, so-called, roughness of a signal, are known to differentiate hearts\nof healthy people from hearts with congestive heart failure. There is a strong\nexpectation that resolution spectrum of exponents, so-called, local exponents\nin place of global exponents allows to study differences between hearts in\ndetails. The arguments are given that local exponents obtained in multifractal\nanalysis by the two methods: wavelet transform modulus maxima (WTMM) and\nmultifractal detrended fluctuation analysis (MDFA), allow to recognize the\nfollowing four stages of the heart: healthy and young, healthy and advance in\nyears, subjects with left ventricle systolic dysfunction (NYHA I--III class)\nand characterized by severe congestive heart failure (NYHA III-IV class).",
"arxiv_id": "q-bio/0510044",
"authors": [
"Danuta Makowiec",
"Rafal Galaska",
"Aleksandra Dudkowska",
"Andrzej Rynkiewicz",
"Marcin Zwierz"
],
"categories": [
"q-bio.TO"
],
"doi": "10.1016/j.physa.2006.02.038",
"title": "Long-range dependencies in heart rate signals- revisited",
"url": "https://arxiv.org/abs/q-bio/0510044"
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