Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis
Recently, a multifractal-multiscale approach to detrended fluctuation analysis (DFA) was proposed to evaluate the cardiovascular fractal dynamics providing a surface of self-similarity coefficients α(<i>q</i>,τ), function of the scale τ, and moment order <i>q</i>. We hypothes...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/4/462 |
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| author | Paolo Castiglioni Stefano Omboni Gianfranco Parati Andrea Faini |
| author_facet | Paolo Castiglioni Stefano Omboni Gianfranco Parati Andrea Faini |
| author_sort | Paolo Castiglioni |
| collection | DOAJ |
| description | Recently, a multifractal-multiscale approach to detrended fluctuation analysis (DFA) was proposed to evaluate the cardiovascular fractal dynamics providing a surface of self-similarity coefficients α(<i>q</i>,τ), function of the scale τ, and moment order <i>q</i>. We hypothesize that this versatile DFA approach may reflect the cardiocirculatory adaptations in complexity and nonlinearity occurring during the day/night cycle. Our aim is, therefore, to quantify how α(<i>q</i>, τ) surfaces of cardiovascular series differ between daytime and night-time. We estimated α(<i>q</i>,τ) with −5 ≤ <i>q</i> ≤ 5 and 8 ≤ τ ≤ 2048 s for heart rate and blood pressure beat-to-beat series over periods of few hours during daytime wake and night-time sleep in 14 healthy participants. From the α(<i>q</i>,τ) surfaces, we estimated short-term (<16 s) and long-term (from 16 to 512 s) multifractal coefficients. Generating phase-shuffled surrogate series, we evaluated short-term and long-term indices of nonlinearity for each <i>q</i>. We found a long-term night/day modulation of α(<i>q</i>,τ) between 128 and 256 s affecting heart rate and blood pressure similarly, and multifractal short-term modulations at <i>q</i> < 0 for the heart rate and at <i>q</i> > 0 for the blood pressure. Consistent nonlinearity appeared at the shorter scales at night excluding <i>q</i> = 2. Long-term circadian modulations of the heart rate DFA were previously associated with the cardiac vulnerability period and our results may improve the risk stratification indicating the more relevant α(<i>q</i>,τ) area reflecting this rhythm. Furthermore, nonlinear components in the nocturnal α(<i>q</i>,τ) at <i>q</i> ≠ 2 suggest that DFA may effectively integrate the linear spectral information with complexity-domain information, possibly improving the monitoring of cardiac interventions and protocols of rehabilitation medicine. |
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| format | Article |
| id | doaj.art-f449c743ade7493d912591e3716769ce |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T20:23:45Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-f449c743ade7493d912591e3716769ce2023-11-19T22:02:31ZengMDPI AGEntropy1099-43002020-04-0122446210.3390/e22040462Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale AnalysisPaolo Castiglioni0Stefano Omboni1Gianfranco Parati2Andrea Faini3IRCCS Fondazione Don Carlo Gnocchi, 20148 Milan, ItalyItalian Institute of Telemedicine, 21048 Solbiate Arno, ItalyDepartment of Medicine and Surgery, University of Milano-Bicocca, 20900 Monza, ItalyIstituto Auxologico Italiano, IRCCS, Department of Cardiovascular, Neural and Metabolic Sciences, S.Luca Hospital, 20149 Milan, ItalyRecently, a multifractal-multiscale approach to detrended fluctuation analysis (DFA) was proposed to evaluate the cardiovascular fractal dynamics providing a surface of self-similarity coefficients α(<i>q</i>,τ), function of the scale τ, and moment order <i>q</i>. We hypothesize that this versatile DFA approach may reflect the cardiocirculatory adaptations in complexity and nonlinearity occurring during the day/night cycle. Our aim is, therefore, to quantify how α(<i>q</i>, τ) surfaces of cardiovascular series differ between daytime and night-time. We estimated α(<i>q</i>,τ) with −5 ≤ <i>q</i> ≤ 5 and 8 ≤ τ ≤ 2048 s for heart rate and blood pressure beat-to-beat series over periods of few hours during daytime wake and night-time sleep in 14 healthy participants. From the α(<i>q</i>,τ) surfaces, we estimated short-term (<16 s) and long-term (from 16 to 512 s) multifractal coefficients. Generating phase-shuffled surrogate series, we evaluated short-term and long-term indices of nonlinearity for each <i>q</i>. We found a long-term night/day modulation of α(<i>q</i>,τ) between 128 and 256 s affecting heart rate and blood pressure similarly, and multifractal short-term modulations at <i>q</i> < 0 for the heart rate and at <i>q</i> > 0 for the blood pressure. Consistent nonlinearity appeared at the shorter scales at night excluding <i>q</i> = 2. Long-term circadian modulations of the heart rate DFA were previously associated with the cardiac vulnerability period and our results may improve the risk stratification indicating the more relevant α(<i>q</i>,τ) area reflecting this rhythm. Furthermore, nonlinear components in the nocturnal α(<i>q</i>,τ) at <i>q</i> ≠ 2 suggest that DFA may effectively integrate the linear spectral information with complexity-domain information, possibly improving the monitoring of cardiac interventions and protocols of rehabilitation medicine.https://www.mdpi.com/1099-4300/22/4/462multifractalitymultiscale complexitydetrended fluctuation analysisheart rateblood pressureself-similarity |
| spellingShingle | Paolo Castiglioni Stefano Omboni Gianfranco Parati Andrea Faini Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis Entropy multifractality multiscale complexity detrended fluctuation analysis heart rate blood pressure self-similarity |
| title | Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis |
| title_full | Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis |
| title_fullStr | Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis |
| title_full_unstemmed | Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis |
| title_short | Day and Night Changes of Cardiovascular Complexity: A Multi-Fractal Multi-Scale Analysis |
| title_sort | day and night changes of cardiovascular complexity a multi fractal multi scale analysis |
| topic | multifractality multiscale complexity detrended fluctuation analysis heart rate blood pressure self-similarity |
| url | https://www.mdpi.com/1099-4300/22/4/462 |
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