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Multiscale base-scale entropy is introduced in this paper.We use it to analyze heart rate variability series.The results show that multiscale base-scale entropy can identify patterns generated from healthy and pathologic states, and can distinguish daytime and nighttime heartbeat time series. We also calculate the multiscale base-scale entropy of surrogate signal (phase randomized data), compare it with the entropy of atrial fibrillation signal, and find that the tends of two entropys are similar to each other, which indicates that atrial fibrillation reflects the linear characteristics of physiological signals. Multiscale base-scale entropy method has potential applications to studying a wide variety of other physiologic and physical time series data.
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Keywords:
- multiscale base-scale entropy /
- heart rate variability /
- congestive heart failure /
- atrial fibrillation
[1] Malik M, Camm A J 1990 Clin. Cordial. 13 570
[2] Kjellgren O, Gomes J A 1993 Am. Heart J. 125 204
[3] Hon E H, Lee S T 1965 Am. J. Obstet Gynecol 87 814
[4] Kleiger R E, Miller J P, Bigger J T, Moss A J 1987 Am. J. Cardiol 59 256
[5] Marek M, Thomas F, A. John C 1990 Am. J. Cardiol 66 1049
[6] Ning X B, Bian C H, Wang J, Chen Y 2006 Chin. Sci.Bull.51 385
[7] Bian C H, Ning X B 2004 Chin. Phys.13 633
[8] Goldberger A L, Amaral L A N, Hausdorff J M, Ivanov P C, Peng C K, Eugene Stanley H 2002 PNAS 99 2466
[9] Costa M, Goldberger A L, Peng C K 2002 Phys. Rev. Lett. 89 068102
[10] Yang A C C, Hseu S S,Yien H W, Goldberger A L, Peng C K 2003 Phys. Rev. Lett. 90 108103
[11] Bian C H, Ning X B 2004 Physica A 337 149
[12] Pincus S M 1991 Proc Natl Acad Sci. 88 2297
[13] Pincus S M, Goldberger A L 1994 Am. J. Physiol Heart Circ Physiol 266 H1643
[14] Joydeep B 2000 Acta Neurobiol Exp. 60 495
[15] Pincus S, Singer BH 1996 Proc Natl Acad Sci. USA 93 2083
[16] Thuraisingham R A, Gottwald G A 2006 Physica A 366 323
[17] 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]
[18] Yang X D, Ning XB, He A J, Du S D 2008 Acta Phys. Sin. 57 1514 (in Chinese)[杨小冬、宁新宝、何爱军、都思丹 2008 57 1514]
[19] Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. 58 8160
[20] Ichimaru Y, Katayama S 1994 Front MedBiol Eng 6 117
[21] Unbehaun A, Mrowka R, Schwarz V, Patzak A, Lewinsohn D, Schubert E 1995 Wien Med Wochenschr. 145 467
[22] Yeragani V K, Sobolewski E, Jampala V C, Kay J, Yeragani S, Igel G 2000 Biological Psychiatry 41 113
[23] Li J, Ning X B 2007 Physica A 384 423
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[1] Malik M, Camm A J 1990 Clin. Cordial. 13 570
[2] Kjellgren O, Gomes J A 1993 Am. Heart J. 125 204
[3] Hon E H, Lee S T 1965 Am. J. Obstet Gynecol 87 814
[4] Kleiger R E, Miller J P, Bigger J T, Moss A J 1987 Am. J. Cardiol 59 256
[5] Marek M, Thomas F, A. John C 1990 Am. J. Cardiol 66 1049
[6] Ning X B, Bian C H, Wang J, Chen Y 2006 Chin. Sci.Bull.51 385
[7] Bian C H, Ning X B 2004 Chin. Phys.13 633
[8] Goldberger A L, Amaral L A N, Hausdorff J M, Ivanov P C, Peng C K, Eugene Stanley H 2002 PNAS 99 2466
[9] Costa M, Goldberger A L, Peng C K 2002 Phys. Rev. Lett. 89 068102
[10] Yang A C C, Hseu S S,Yien H W, Goldberger A L, Peng C K 2003 Phys. Rev. Lett. 90 108103
[11] Bian C H, Ning X B 2004 Physica A 337 149
[12] Pincus S M 1991 Proc Natl Acad Sci. 88 2297
[13] Pincus S M, Goldberger A L 1994 Am. J. Physiol Heart Circ Physiol 266 H1643
[14] Joydeep B 2000 Acta Neurobiol Exp. 60 495
[15] Pincus S, Singer BH 1996 Proc Natl Acad Sci. USA 93 2083
[16] Thuraisingham R A, Gottwald G A 2006 Physica A 366 323
[17] 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]
[18] Yang X D, Ning XB, He A J, Du S D 2008 Acta Phys. Sin. 57 1514 (in Chinese)[杨小冬、宁新宝、何爱军、都思丹 2008 57 1514]
[19] Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. 58 8160
[20] Ichimaru Y, Katayama S 1994 Front MedBiol Eng 6 117
[21] Unbehaun A, Mrowka R, Schwarz V, Patzak A, Lewinsohn D, Schubert E 1995 Wien Med Wochenschr. 145 467
[22] Yeragani V K, Sobolewski E, Jampala V C, Kay J, Yeragani S, Igel G 2000 Biological Psychiatry 41 113
[23] Li J, Ning X B 2007 Physica A 384 423
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