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生理系统产生的复杂波动信号能够反映其潜在的动力学特征.采用基本尺度熵和功率谱的方法分析 24 h心率变异性信号.结果表明,心脏系统昼夜节律下生理和病理的变化伴随着变化的基本尺度 熵和功率谱分布,但是对于近似熵,其变化却不明显;同时发现,基本尺度熵的变化能够反映相应的 自主神经调控的变化,由于充血性心力衰竭患者迷走神经的调控被抑制,交感神经的调控占优势, 所以数据中会出现更多变化的矢量模式组合,因此心力衰竭患者心率变异性信号的熵值较高; 在夜间睡眠状态时,由于迷走神经的调控增强,交感神经的调控减少,所以健康人和心力衰竭患者的 基本尺度熵都比白天清醒状态时产生了下降趋势.Physiologic systems generate complex fluctuations in their output signals that reflect the underlying dynamics. In order to detect the effect of circadian rhythm for heart rate variability signals, we apply base-scale entropy method and power spectral analysis to the 24-hour heart rate variability signals. The results show that 1) such profound circadian- and pathologic-dependent changes are accompanied by changes in base-scale entropy and power spectral distribution, but by little changes in approximate entropy; 2) the circadian regulating ability of vagal nerve is clearly decreasing for congestive heart failure subjects; 3) the base-scale entropy is more sensitive than spectral analysis method to distinguishing wake/sleep states and identifying patterns generated from healthy and pathologic states, meanwhile, the base-scale entropy changes reflect corresponding changes in autonomic nerve outflow. With the suppression of vagal tone and dominance of sympathetic tone in congestive heart failure subjects, there are more variabilities in the m-words form π due to the trends in the data. So the higher base-scale entropy belongs to congestive heart failure subjects. With the decrease of sympathetic tone during sleep, the base-scale entropy drops in both healthy and congestive heart failure subjects. Finally, in order to further investigate the effect of series length, we calculate the base-scale entropy for different length series and find that the series length nearly has no influence on the result.
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Keywords:
- heart rate variability /
- base-scale entropy /
- power spectrum /
- circadian rhythm
[1] Ivanov P Ch, Rosenblum M G, Peng C K, Mietus J, Havlin S, Stanley H E, Goldberger A L 1996 Nature 383 323
[2] Ivanov P Ch, Rosenblum M G, Amaral L A N, Struzik Z R, Havlin S, Goldberger A L 1999 Nature 399 461
[3] Bunde A, Havlin S, Kantelhardt J W, Penzel T, Peter J H, Voigt K 2000 Phys. Rev. Lett. 85 3736
[4] Tsuji H, Venditti F J, Manders E S, Evans J C, Larson M G, Feldman C L, Levy D 1994 Circulation 90 878
[5] Huikuri H V, Makikallio T H, Peng C K, Goldberger A L, Hintze U, Moller M 2000 Circulation 101 47
[6] Bernaola G P, Ivanov P Ch, Amaral L A N, Stanley H E 2001 Phys. Rev. Lett. 87 168105
[7] Kantelhardt J W, Ashkenazy Y, Ivanov P Ch, Bunde A, Havlin S, Penzel T, Peter J H, Stanley H E 2002 Phys. Rev. E 65 051908
[8] Penzel T, Kantelhardt J W, Grote L, Peter J H, Bunde A 2003 IEEE Trans. Biomed. Eng. 50 1143
[9] Ivanov P Ch, Bunde A, Amaral L A N 1999 Europhys. Lett. 48 594
[10] Schumann A Y, Bartsch R P, Penzel T 2010 Sleep 33 943
[11] Schmitt D T, Stein P K, Ivanov P Ch 2009 IEEE Trans. Biomed. Eng. 56 1564
[12] Amaral L A N, Ivanov P Ch, Aoyagi N, Hidaka I, Tomono S, Goldberger A L, Stanley H E, Yamamoto Y 2001 Phys. Rev. Lett. 86 6026
[13] Karasik R, Sapir N, Ashkenazy Y 2002 Phys. Rev. E 66 062902
[14] Martinis M, Knezevic A, Krstacis G, Vargovic E 2004 Phys. Rev. E 70 012903
[15] Ho K K L, Moody G B, Peng C K, Mietus J E, Larson M G, Levy D, Goldberger A L, Stanley H E 1997 Circulation 96 842
[16] Daw C S, Finney C E A, Tracy E R 2003 Rev. Sci. Instrum. 74 915
[17] Li J, Ning X B 2006 Phys. Rev. E 73 052902
[18] Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. Sin. 58 8160 (in Chinese) [黄晓林, 崔胜忠, 宁新宝, 卞春华 2009 58 8160]
[19] Yan B G, Zhao T T 2011 Acta Phys. Sin. 60 078701 (in Chinese) [严碧歌, 赵婷婷 2011 60 078701]
[20] Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology 1996 Circulation 93 1043
[21] Gary G, Berntson J, Bigger J T 1997 Psychophysiology 34 623
[22] Perakakis P, Joffily M, Taylor M 2009 Computer Methods and Programs in Biomedicine 98 83
[23] Carvalho J L H, Rocha A F, Dos S I 2003 Engineering in Medicine and Biology Society 9 2621
[24] Packard N H, Crutchfield J P, Farmer J D, Shaw R S 1980 Phys. Rev. Lett. 45 712
[25] Wessel N, Ziehmann C, Kurths J, Meyerfeldt U, Schirdewan A, Voss A 2000 Phys. Rev. E 61 733
[26] Pincus S M 1991 Nat. Acad. Sci. 88 2297
[27] Mancia G 1993 N. Engl. J. Med. 328 347
[28] Eckberg D L 2003 J. Physiol. 548 339
[29] Hornyak M, Cejnar M, Elam M, Matousek M, Wallin B G 1991 Brain 114 1281
[30] Taylor J A, Myers C W, Halliwill J R, Seidel H, Eckberg D L 2001 Am. J. Physiol. Heart Corc. Physiol. 280 H2804
[31] Ivanov P Ch, Chen Z, Hu K 2004 Physica A 344 685
[32] Ivanov P Ch 2007 IEEE Engineering in Medicine and Biology Magazine 26 33
[33] Ivanov P Ch, Hu K, Hilton M F 2007 Proceedings of The National Academy of The United States of America 104 20702
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[1] Ivanov P Ch, Rosenblum M G, Peng C K, Mietus J, Havlin S, Stanley H E, Goldberger A L 1996 Nature 383 323
[2] Ivanov P Ch, Rosenblum M G, Amaral L A N, Struzik Z R, Havlin S, Goldberger A L 1999 Nature 399 461
[3] Bunde A, Havlin S, Kantelhardt J W, Penzel T, Peter J H, Voigt K 2000 Phys. Rev. Lett. 85 3736
[4] Tsuji H, Venditti F J, Manders E S, Evans J C, Larson M G, Feldman C L, Levy D 1994 Circulation 90 878
[5] Huikuri H V, Makikallio T H, Peng C K, Goldberger A L, Hintze U, Moller M 2000 Circulation 101 47
[6] Bernaola G P, Ivanov P Ch, Amaral L A N, Stanley H E 2001 Phys. Rev. Lett. 87 168105
[7] Kantelhardt J W, Ashkenazy Y, Ivanov P Ch, Bunde A, Havlin S, Penzel T, Peter J H, Stanley H E 2002 Phys. Rev. E 65 051908
[8] Penzel T, Kantelhardt J W, Grote L, Peter J H, Bunde A 2003 IEEE Trans. Biomed. Eng. 50 1143
[9] Ivanov P Ch, Bunde A, Amaral L A N 1999 Europhys. Lett. 48 594
[10] Schumann A Y, Bartsch R P, Penzel T 2010 Sleep 33 943
[11] Schmitt D T, Stein P K, Ivanov P Ch 2009 IEEE Trans. Biomed. Eng. 56 1564
[12] Amaral L A N, Ivanov P Ch, Aoyagi N, Hidaka I, Tomono S, Goldberger A L, Stanley H E, Yamamoto Y 2001 Phys. Rev. Lett. 86 6026
[13] Karasik R, Sapir N, Ashkenazy Y 2002 Phys. Rev. E 66 062902
[14] Martinis M, Knezevic A, Krstacis G, Vargovic E 2004 Phys. Rev. E 70 012903
[15] Ho K K L, Moody G B, Peng C K, Mietus J E, Larson M G, Levy D, Goldberger A L, Stanley H E 1997 Circulation 96 842
[16] Daw C S, Finney C E A, Tracy E R 2003 Rev. Sci. Instrum. 74 915
[17] Li J, Ning X B 2006 Phys. Rev. E 73 052902
[18] Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. Sin. 58 8160 (in Chinese) [黄晓林, 崔胜忠, 宁新宝, 卞春华 2009 58 8160]
[19] Yan B G, Zhao T T 2011 Acta Phys. Sin. 60 078701 (in Chinese) [严碧歌, 赵婷婷 2011 60 078701]
[20] Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology 1996 Circulation 93 1043
[21] Gary G, Berntson J, Bigger J T 1997 Psychophysiology 34 623
[22] Perakakis P, Joffily M, Taylor M 2009 Computer Methods and Programs in Biomedicine 98 83
[23] Carvalho J L H, Rocha A F, Dos S I 2003 Engineering in Medicine and Biology Society 9 2621
[24] Packard N H, Crutchfield J P, Farmer J D, Shaw R S 1980 Phys. Rev. Lett. 45 712
[25] Wessel N, Ziehmann C, Kurths J, Meyerfeldt U, Schirdewan A, Voss A 2000 Phys. Rev. E 61 733
[26] Pincus S M 1991 Nat. Acad. Sci. 88 2297
[27] Mancia G 1993 N. Engl. J. Med. 328 347
[28] Eckberg D L 2003 J. Physiol. 548 339
[29] Hornyak M, Cejnar M, Elam M, Matousek M, Wallin B G 1991 Brain 114 1281
[30] Taylor J A, Myers C W, Halliwill J R, Seidel H, Eckberg D L 2001 Am. J. Physiol. Heart Corc. Physiol. 280 H2804
[31] Ivanov P Ch, Chen Z, Hu K 2004 Physica A 344 685
[32] Ivanov P Ch 2007 IEEE Engineering in Medicine and Biology Magazine 26 33
[33] Ivanov P Ch, Hu K, Hilton M F 2007 Proceedings of The National Academy of The United States of America 104 20702
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