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Heart rate variability (HRV) has the characteristics of non stationary and transient fluctuation. In this paper, we propose using the autoregressive conditional heteroskedasticity (ARCH) to analyze such fluctuations. Analytical methods include using auto-regressive moving average model to eliminate sequence trends and correlativity, using the F-test method to determine whether there is ARCH effect in residual sequence, while giving an acceptance probability of ARCH effect. The fluctuations of HRV in congestive heart failure (CHF) patients and normal people are analyzed in this paper. The large difference in statistics value of acceptance probability between CHF patients and normal people indicates that the method can well distinguish between different groups. It provides a new method for the study of ECG information.
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Keywords:
- heart rate variability /
- congestive heart failure /
- auto regressive conditional heteroscedasticity
[1] Wolf M M, Varigos G A, Hunt D, Sloman J G 1978 Med. J. Aust. 2 52
[2] Berntson G G, Bigger Jr J T, Eckberg D L, Grossman P, Kaufmann P G, Malik M, Nagaraja H N, Porges S W, Saul J P, Stone P H, van der Molen M W 1997 Psycho. physiology 34 623
[3] Kleiger R E, Miller J P, Bigger Jr J T, Moss A J 1987 Am. J. Cardiol. 59 256
[4] Christini D J, Bennett F M, Lutchen K R, Ahmed H M, Hausdorff J M, Oriol N 1995 IEEE Trans. Biomed. Eng. 42 411
[5] Dingfei G E, Srinivasan N, Krishnan S M 2002 Bio. Med. Engineer. OnLine 1
[6] Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology 1996 Circulation 93 1043
[7] Akselrod S, Gordon D, Ubel F A, Shannon D C, Berger A C, Cohen R J 1981 Science 213 220
[8] Hedman A E, Hartikainen J E, Tahvanainen K U, Hakumäki M O 1992 Acta Physiol. Scandinav. 146 155
[9] Malliani A, Pagani M, Lombardi F, Cerutti S 1991 Circulation 84 482
[10] Glass L 2009 Chaos 19 028501
[11] Peng C K, Shlomo H, Stanley H, Eugene, Goldberger Ary L 1995 Chaos. 5 82
[12] 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 物理学报 58 8160]
[13] Hou F Z, Huang X L, Chen Y 2013 Phys. Rev. E 87 012908
[14] Huo C Y, Huang X L, Zhuang J J 2013 Physica A 392 3601
[15] Hou F Z, Huang X L, Zhuang J J, Huo C Y, Ning X B 2012 Acta Phys. Sin. 61 220507 (in Chinese) [侯凤贞, 黄晓林, 庄建军, 霍诚宇, 宁新宝 2012 物理学报 61 220507]
[16] Engle R F 1982 Econometrica 50 987
[17] Leite A, Rocha A P, Silva M E 2009 Comput. Cardiol. 36 165
[18] Altimiras J 1999 Comp. Biochem. Physiol. A: Mol. Integr. Physiol. 124 447
[19] Ferini-Strambi L, Bianchi A, Zucconi M, Oldani A, Castronovo V, Smirne S 2000 Clin. Neurophysiol. 111 99
[20] Otzenberger H, Simon C, Gronfier C, Brandenberger G 1997 Neurosci. Lett. 229 173
[21] Friedman D, Vandersteel S 1982 J. Int. Econom. 13 171
[22] Bollerslev T, Chou R Y, Kroner K F 1992 J. Econometrics 52 5
[23] Song A L, Huang X L, Si J F, Ning X B 2011 Acta Phys. Sin. 60 020509 (in Chinese) [宋爱玲, 黄晓林, 司峻峰, 宁新宝 2011 物理学报 60 020509]
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[1] Wolf M M, Varigos G A, Hunt D, Sloman J G 1978 Med. J. Aust. 2 52
[2] Berntson G G, Bigger Jr J T, Eckberg D L, Grossman P, Kaufmann P G, Malik M, Nagaraja H N, Porges S W, Saul J P, Stone P H, van der Molen M W 1997 Psycho. physiology 34 623
[3] Kleiger R E, Miller J P, Bigger Jr J T, Moss A J 1987 Am. J. Cardiol. 59 256
[4] Christini D J, Bennett F M, Lutchen K R, Ahmed H M, Hausdorff J M, Oriol N 1995 IEEE Trans. Biomed. Eng. 42 411
[5] Dingfei G E, Srinivasan N, Krishnan S M 2002 Bio. Med. Engineer. OnLine 1
[6] Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology 1996 Circulation 93 1043
[7] Akselrod S, Gordon D, Ubel F A, Shannon D C, Berger A C, Cohen R J 1981 Science 213 220
[8] Hedman A E, Hartikainen J E, Tahvanainen K U, Hakumäki M O 1992 Acta Physiol. Scandinav. 146 155
[9] Malliani A, Pagani M, Lombardi F, Cerutti S 1991 Circulation 84 482
[10] Glass L 2009 Chaos 19 028501
[11] Peng C K, Shlomo H, Stanley H, Eugene, Goldberger Ary L 1995 Chaos. 5 82
[12] 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 物理学报 58 8160]
[13] Hou F Z, Huang X L, Chen Y 2013 Phys. Rev. E 87 012908
[14] Huo C Y, Huang X L, Zhuang J J 2013 Physica A 392 3601
[15] Hou F Z, Huang X L, Zhuang J J, Huo C Y, Ning X B 2012 Acta Phys. Sin. 61 220507 (in Chinese) [侯凤贞, 黄晓林, 庄建军, 霍诚宇, 宁新宝 2012 物理学报 61 220507]
[16] Engle R F 1982 Econometrica 50 987
[17] Leite A, Rocha A P, Silva M E 2009 Comput. Cardiol. 36 165
[18] Altimiras J 1999 Comp. Biochem. Physiol. A: Mol. Integr. Physiol. 124 447
[19] Ferini-Strambi L, Bianchi A, Zucconi M, Oldani A, Castronovo V, Smirne S 2000 Clin. Neurophysiol. 111 99
[20] Otzenberger H, Simon C, Gronfier C, Brandenberger G 1997 Neurosci. Lett. 229 173
[21] Friedman D, Vandersteel S 1982 J. Int. Econom. 13 171
[22] Bollerslev T, Chou R Y, Kroner K F 1992 J. Econometrics 52 5
[23] Song A L, Huang X L, Si J F, Ning X B 2011 Acta Phys. Sin. 60 020509 (in Chinese) [宋爱玲, 黄晓林, 司峻峰, 宁新宝 2011 物理学报 60 020509]
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