Quantification of Nonlinear Features in Cardiovascular Signals

Takase B, Kitamura H, Noritake M, Nagase T, Kurita A, Ohsuzu F, Matsuoka T. Assessment of diabetic autonomic neuropathy using twenty-four hour spectral analysis of heart rate variability. A comparison with the findings of Ewing battery. Jpn Heart J 2002; 43: 127-13510.1536/jhj.43.127Search in Google Scholar

Vinik AI, Maser RE, Mitchell BD, Freeman R. Diabetic Autonomic Neuropathy. Diabetes Care 2003; 26: 1553-157910.2337/diacare.26.5.1553Search in Google Scholar

Javorka M, Javorkova J, Tonhajzerova I, Javorka K. Parasympathetic versus sympathetic control of the cardiovascular system in young patients with type 1 diabetes mellitus. Clin Physiol Funct Imaging 2005; 25: 270-27410.1111/j.1475-097X.2005.00623.xSearch in Google Scholar

Parati G, Mancia G, Di Rienzo M, Castiglioni P. Point: cardiovascular variability is/is not an index of autonomic control of circulation. J Appl Physiol 2006; 101: 676-8; discussion 681-210.1152/japplphysiol.00446.2006Search in Google Scholar

Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology. Heart rate variability. Standards of measurement, physiological interpretation, and clinical use. Eur Heart J 1996; 17: 354-81Search in Google Scholar

Maser RE, Lenhard MJ. REVIEW: Cardiovascular autonomic neuropathy due to diabetes mellitus: Clinical manifestations, consequences, and treatment. J Clin Endocrinol Metab 2005; 90: 5896-590310.1210/jc.2005-0754Search in Google Scholar

Laitinen T, Hartikainen J, Niskanen L, Geelen G, Länsimies E. Sympathovagal balance is major determinant of short-term blood pressure variability in healthy subjects. Am J Physiol 1999; 276: H1245-5210.1152/ajpheart.1999.276.4.H1245Search in Google Scholar

Eckberg DL. Physiological basis for human autonomic rhythms. Ann Med 2000; 32: 341-910.3109/07853890008995937Search in Google Scholar

Aubert AE, Ramaekers D. Neurocardiology: the benefits of irregularity. The basics of methodology, physiology and current clinical applications. Acta Cardiol 1999; 54: 107-120Search in Google Scholar

Beckers F, Verheyden B, Ramaekers D, Swynghedauw B, Aubert AE. Effects of autonomic blockade on non-linear cardiovascular variability indices in rats. Clin Exp Pharmacol Physiol 2006; 33: 431-43910.1111/j.1440-1681.2006.04384.xSearch in Google Scholar

Schreiber T. Interdisciplinary application of nonlinear time series methods. Phys Rep 1999; 308: 1-6410.1016/S0370-1573(98)00035-0Search in Google Scholar

Raab C, Wessel N, Schirdewan A, Kurths J. Large-scale dimension densities for heart rate variability analysis. Phys Rev E 2006; 73: 04190710.1103/PhysRevE.73.04190716711836Search in Google Scholar

Baumert M, Baier V, Haueisen J, Wessel N, Meyerfeldt U, Schirdewan A, Voss A. Forecasting of life threating arrhythmias using the compression entropy of heart rate. Methods Inf Med 2004; 43: 202-20610.1055/s-0038-1633859Search in Google Scholar

Baumert M, Baier V, Schirdewan A, Truebner S, Voss A. Short- and long-term joint symbolic dynamics of heart rate and blood pressure indilated cardiomyopathy. IEEE Trans Biomed Eng 2005; 52: 2112-211510.1109/TBME.2005.85763616366235Search in Google Scholar

Costa MD, Peng C-K, Goldberger AL. Multiscale analysis of heart rate dynamics: entropy and time irreversibility measures. Cardiovasc Eng 2008; 8: 88-9310.1007/s10558-007-9049-1480122218172763Search in Google Scholar

Batchinsky AI, Cooke WH, Kuusela T, Cancio LC. Loss of complexity characterizes the heart rate response to experimental hemorrhagic shock in swine. Crit Care Med 2007; 35: 519-2510.1097/01.CCM.0000254065.44990.7717205017Search in Google Scholar

Trunkvalterova Z, Javorka M, Tonhajzerova I, Javorkova J, Lazarova Z, Javorka K, Baumert M. Reduced short-term complexity of heart rate and blood pressure dynamics in patients with diabetes mellitus type 1: multiscale entropy analysis. Physiol Meas 2008; 29: 817-82810.1088/0967-3334/29/7/01018583725Search in Google Scholar

Shannon CE. A mathematical theory of communication. The Bell System Technical J 1948; 27: 379-423, 623-65610.1002/j.1538-7305.1948.tb00917.xSearch in Google Scholar

Pincus SM, Gladstone IM, Ehrenkranz RA. A regularity statistic for medical data analysis. J Clin Monit. 1991;7: 335-45.10.1007/BF016193551744678Search in Google Scholar

Richman JS, Moorman JR. Physiological time-series analysis using approximate entropy and sample entropy. Am J Physiol 20004; 278: H2039-4910.1152/ajpheart.2000.278.6.H203910843903Search in Google Scholar

Javorka M, Zila I, Balharek T, Javorka K. Heart rate recovery after exercise: relations to heart rate variability and complexity. Braz J Med Biol Res 2002; 35: 991-100010.1590/S0100-879X200200080001812185393Search in Google Scholar

Ziv J, Lempel A. A universal algorithm for sequential data compression. IEEE Trans Inf Theory 1977; 23: 337-34310.1109/TIT.1977.1055714Search in Google Scholar

Javorka M, Trunkvalterova Z, Tonhajzerova I, Javorkova J, Javorka K, Baumert M. Short-term heart rate complexity is reduced in patients with type 1 diabetes mellitus. Clin Neurophysiol 2008; 119: 1071-108110.1016/j.clinph.2007.12.017Search in Google Scholar

Voss A, Kurths J, Kleiner HJ, Witt A, Wessel N, Saparin P, Osterziel KJ, Schurath R, Dietz R. The application of methods of non-linear dynamics for the improved and predictive recognition of patients threatened by sudden cardiac death. Cardiovasc Res 1996; 31: 419-43310.1016/S0008-6363(96)00008-9Search in Google Scholar

Porta A, Guzzetti S, Montano N, Furlan R, Pagani M, Malliani A, Cerutti S. Entropy, entropy rate, and pattern classification as tools to typify complexity in short heart period variability series. IEEE Trans Biomed Eng 2001; 48: 1282-91.10.1109/10.95932411686627Search in Google Scholar

Porta A, Faes L, Mase M, D'Addio G, Pinna G D, Maestri R, Montano N, Furlan R, Guzzetti S, Nollo G, Malliani A. An integrated approach based on uniform quantization for the evaluation of complexity of short-term heart period variability: Application to 24h Holter recordings in healthy and heart failure humans. Chaos 2007; 17: 01511710.1063/1.240463017411274Search in Google Scholar

Tonhajzerova I, Ondrejka I, Javorka K, Turianikova Z, Farsky I, Javorka M. Cardiac autonomic regulation is impaired in girls with major depression. Prog Neuropsychopharmacol Biol Psychiatry 2010; 34: 613-61810.1016/j.pnpbp.2010.02.02320219623Search in Google Scholar

Wessel N, Bauernschmitt R, Wernicke D, Kurths J, Malberg H. Autonomic cardiac control in animal models of cardiovascular diseases. I. Methods of variability analysis. Biomed Tech (Berl) 2007; 52: 43-910.1515/BMT.2007.00917313333Search in Google Scholar

Costa M, Goldberger AL, Peng CK. Multiscale entropy analysis of complex physiologic time series. Phys Rev Lett 2002; 89: 06810210.1103/PhysRevLett.89.06810212190613Search in Google Scholar

Marwan N, Romano MC, Thiel M, Kurths J. Recurrence plots for the analysis of complex systems. Phys Rep 2007; 438: 237-32910.1016/j.physrep.2006.11.001Search in Google Scholar

Javorka M, Turianikova Z, Tonhajzerova Z, Javorka K, Baumert M. The effect of orthostasis on recurrence quantification analysis of heart rate and blood pressure dynamics. Physiol Meas 2009; 30: 29-4110.1088/0967-3334/30/1/00319039163Search in Google Scholar

Webber CL, Zbilut JP. Dynamical assessment of physiological systems and states using recurrence plot strategies. J Appl Physiol 1994; 76: 965-97310.1152/jappl.1994.76.2.9658175612Search in Google Scholar

Marwan N, Wessel N, Meyerfeldt A, Schirdewan A, Kurths J. Recurrence plot based measures of complexity and its application to heart rate variability data. Phys Rev E 2002; 66: 02670210.1103/PhysRevE.66.02670212241313Search in Google Scholar

Wessel N, Marwan N, Meyerfeldt U, Schirdewan A, Kurths J. Recurrence quantification analysis to characterise the heart rate variability before the onset of ventricular tachycardia. Lect Notes Comput Sc 2001; 2199: 295-30110.1007/3-540-45497-7_45Search in Google Scholar

Naschitz JE, Itzhak R, Shaviv N, Khorshidi I, Sundick S, Isseroff H, Fields M, Priselac M, Yeshurun D, Sabo E. Assessment of cardiovascular reactivity by fractal and recurrence quantification analysis of heart rate and pulse transit time. J Hum Hypertens 2003; 17: 111-11810.1038/sj.jhh.100151712574789Search in Google Scholar

Hou F, Zhuang J, Bian C, Tong T, Chen Y, Yin J, Qiu X, Ning X. Analysis of heartbeat asymmetry based on multi-scale time irreversibility test. Physica A 2010; 389: 754-76010.1016/j.physa.2009.10.003Search in Google Scholar

Porta A, Casali KR, Casali AG, Gnecchi-Ruscone T, Tobaldini E, Montano N, Lange S, Geue D, Cysarz D, Van Leeuwen P. Temporal asymmetries of short-term heart period variability are linked to autonomic regulation. Am J Physiol 2008; 295: R550-55710.1152/ajpregu.00129.200818495836Search in Google Scholar

Chladekova L, Turianikova Z, Tonhajzerova I, Calkovska A, Javorka M. Time irreversibility of heart rate oscillations during orthostasis. Acta Med Mart 2011; (Suppl. 1):39-4410.2478/v10201-011-0010-zSearch in Google Scholar