Modelling long-term heart rate variability: an ARFIMA approach
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Argentina S. Leite
Abstract
Long-term heart rate variability (HRV) series can be described by time-variant autoregressive modelling. HRV recordings show dependence between distant observations that is not negligible, suggesting the existence of long-range correlations. In this work, selective adaptive segmentation combined with fractionally integrated autoregressive moving-average models is used to capture long memory in HRV recordings. This approach leads to an improved description of the low- and high-frequency components in HRV spectral analysis. Moreover, it is found that in the 24-h recording of a case report, the long-memory parameter presents a circadian variation, with different regimes for day and night periods.
References
1 Appel ML, Berger RD, Saul JP, Smith JM, Cohen RJ. Beat to beat variability in cardiovascular variables: noise or music? J Am Coll Cardiol1989; 14: 1139–1148.10.1016/0735-1097(89)90408-7Search in Google Scholar
2 Beran J, Bhansali RJ, Ocker D. On unified model selection for stationary and nonstationary short and long memory autoregressive processes. Biometrika1998; 85: 921–934.10.1093/biomet/85.4.921Search in Google Scholar
3 Brockwell PJ, Davis RA. Time series: theory and methods. New York: Springer-Verlag 1991.10.1007/978-1-4419-0320-4Search in Google Scholar
4 Doukhan P, Oppenheim G, Taqqu MS. Theory and applications of long-range dependence. Boston: Birkhäuser 2003.Search in Google Scholar
5 Hosking JRM. Fractional differencing. Biometrika1981; 68: 165–176.10.1093/biomet/68.1.165Search in Google Scholar
6 Niedzwiecki M. Identification of time-varying processes. Somerset, NJ: John Wiley 2000.Search in Google Scholar
7 Rienzo MD, Mancia G, Parati G, Pedotti A, Zanchetti A. Frontiers of blood pressure and heart rate analysis. Amsterdam: IOS press 1997.Search in Google Scholar
8 Robinson PM. Gaussian semiparametric estimation of long range dependence. The Annals of Statistics 1995; 23: 1630–1661.10.1214/aos/1176324317Search in Google Scholar
9 Rocha AP, Leite A, Gouveia S, Lago P, Costa O, Freitas F. Spectral characterization of long-term ambulatory heart rate variability signals. In: Digest of the 5th IMA Conference on Mathematics in Signal Processing, Warwick, UK, 2000. Essex: IMA ed.: 1–4.Search in Google Scholar
10 Task Force of the ESC and NASPE. Heart rate variability: standards of measurement, physiological interpretation and clinical use. Eur Heart J 1996; 17: 354–381.10.1093/oxfordjournals.eurheartj.a014868Search in Google Scholar
11 Velasco C. Gaussian semiparametric estimation of non-stationary time series. Journal of Time Series Analysis1999; 20: 87–127.10.1111/1467-9892.00127Search in Google Scholar
©2006 by Walter de Gruyter Berlin New York
Articles in the same Issue
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- Cardiovascular Oscillations: from methods and models to clinical applications
- Circadian and ultradian rhythms in heart rate variability
- Influence of age, body mass index, and blood pressure on the carotid intima-media thickness in normotensive and hypertensive patients
- Multivariate and multidimensional analysis of cardiovascular oscillations in patients with heart failure
- Multivariate and multiorgan analysis of cardiorespiratory variability signals: the CAP sleep case
- Role of the autonomic nervous system in generating non-linear dynamics in short-term heart period variability
- Non-linear dynamic analysis of the cardiac rhythm during transient myocardial ischemia
- Complex autonomic dysfunction in cardiovascular, intensive care, and schizophrenic patients assessed by autonomic information flow
- Low HRV entropy is strongly associated with myocardial infarction
- Revisiting the potential of time-domain indexes in short-term HRV analysis
- Fractal dimension in health and heart failure
- Spatiotemporal correlation analyses: a new procedure for standardisation of DC magnetocardiograms
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- The missing link between cardiovascular rhythm control and myocardial cell modeling
- Model of the sino-atrial and atrio-ventricular nodes of the conduction system of the human heart
- Modelling long-term heart rate variability: an ARFIMA approach
- Clinical correlates of non-linear indices of heart rate variability in chronic heart failure patients
- Recurrence analysis of nocturnal heart rate in sleep apnea patients
- Normalized correlation dimension for heart rate variability analysis
- Complexity of heart rate fluctuations in near-term sheep and human fetuses during sleep
- Differences between heart rate and blood pressure variability in schizophrenia
- Influence of sympathetic vascular regulation on heart-rate scaling structure: spinal cord lesion as a model of progressively impaired autonomic control
- Increase in regularity of fetal heart rate variability with age
- Fetal heart rate variability in growth restricted fetuses
- Frequency modulation between low- and high-frequency components of the heart rate variability spectrum
- Mixed predictability and cross-validation to assess non-linear Granger causality in short cardiovascular variability series
- Assessment of spatial organization in the atria during paroxysmal atrial fibrillation and adrenergic stimulation
- Attenuated autonomic function in multiple organ dysfunction syndrome across three age groups
- Central vasopressin V1a and V1b receptors modulate the cardiovascular response to air-jet stress in conscious rats
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Articles in the same Issue
- ESGCO 2006 Conference and Meeting of the European Study Group on Cardiovascular Oscillations, Jena, Germany, May 15–17, 2006
- Cardiovascular Oscillations: from methods and models to clinical applications
- Circadian and ultradian rhythms in heart rate variability
- Influence of age, body mass index, and blood pressure on the carotid intima-media thickness in normotensive and hypertensive patients
- Multivariate and multidimensional analysis of cardiovascular oscillations in patients with heart failure
- Multivariate and multiorgan analysis of cardiorespiratory variability signals: the CAP sleep case
- Role of the autonomic nervous system in generating non-linear dynamics in short-term heart period variability
- Non-linear dynamic analysis of the cardiac rhythm during transient myocardial ischemia
- Complex autonomic dysfunction in cardiovascular, intensive care, and schizophrenic patients assessed by autonomic information flow
- Low HRV entropy is strongly associated with myocardial infarction
- Revisiting the potential of time-domain indexes in short-term HRV analysis
- Fractal dimension in health and heart failure
- Spatiotemporal correlation analyses: a new procedure for standardisation of DC magnetocardiograms
- Changes in heart rate variability of athletes during a training camp
- The missing link between cardiovascular rhythm control and myocardial cell modeling
- Model of the sino-atrial and atrio-ventricular nodes of the conduction system of the human heart
- Modelling long-term heart rate variability: an ARFIMA approach
- Clinical correlates of non-linear indices of heart rate variability in chronic heart failure patients
- Recurrence analysis of nocturnal heart rate in sleep apnea patients
- Normalized correlation dimension for heart rate variability analysis
- Complexity of heart rate fluctuations in near-term sheep and human fetuses during sleep
- Differences between heart rate and blood pressure variability in schizophrenia
- Influence of sympathetic vascular regulation on heart-rate scaling structure: spinal cord lesion as a model of progressively impaired autonomic control
- Increase in regularity of fetal heart rate variability with age
- Fetal heart rate variability in growth restricted fetuses
- Frequency modulation between low- and high-frequency components of the heart rate variability spectrum
- Mixed predictability and cross-validation to assess non-linear Granger causality in short cardiovascular variability series
- Assessment of spatial organization in the atria during paroxysmal atrial fibrillation and adrenergic stimulation
- Attenuated autonomic function in multiple organ dysfunction syndrome across three age groups
- Central vasopressin V1a and V1b receptors modulate the cardiovascular response to air-jet stress in conscious rats
- Heart rate asymmetry by Poincaré plots of RR intervals
- Analyses of cardiovascular oscillations for enhanced diagnosis and risk stratification in cardiac diseases and disorders
