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In this study, we propose a kendall rank correlation based synchronous algorithm inverse rank correlation (IRC). The kendall rank correlation is a generalized algorithm of nonlinear dynamics analysis which can effectively measure nonlinear correlations between variables. The study of complex networks has gradually penetrated into various fields of the social sciences. We use our algorithm to construct functional brain networks based on the data from electroencephalogram (EEG). The average node degree of complex brain networks is analyzed to investigate whether epileptic functional brain networks are distinctly different from normal brain networks. Results show that our method can distinguish between epileptic and normal functional brain networks and needs to record a very small number of EEG data. Experimental data show that our method suited to distinguish between epilepsy and normal brain node degree, which may contribute to further deepening the study of the brain neural dynamic behaviors, and provide an effective tool for clinical diagnosis.
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Keywords:
- electroencephalogram /
- epileptic /
- Kendall rank correlation /
- complex network
[1] Witte H, Iasemidis L D, Litt B 2003 IEEE Trans. Biomed. Eng. 50 537
[2] Mormann F, Andrzejak R G, Elger C E, Lehnertz K 2007 Brain 130 314
[3] Elger C E, Lehnertz K 1998 Eur. J. Neurosci. 10 786
[4] Lehnertz K, Elger C E 1998 Phys. Rev. Lett. 80 5019
[5] Iasemidis L D, Sackellares J C, Zaveri H P, Williams W J 1990 Brain Topogr. 2 187
[6] Mormann F, Lehnertz K, David P, Elger C E 2000 Physica D 144 358
[7] Iasemidis L D, Pardalos P, Sackellares J C, Shiau D S 2001 J. Comb. Optim. 5 9
[8] Iasemidis L D, Shiau D S, Pardalos P M, Chaovalitwongse W, Narayanan K, Prasad A, Tsakalis K, Carney P R, Sackellares J C 2005 Clin. Neurophysiol. 116 532
[9] Iasemidis L D, et al. 2003 IEEE Trans. Biomed. Eng. 50 616
[10] Bathelt J, O'Reilly H, Clayden J D, Cross J H, de Haan M 2013 NeuroImage 82 595
[11] Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 物理学报 56 7330]
[12] Varela F, Lachaux J P, Rodriguez E, Martinerie J 2001 Nat. Rev. Neurosci. 2 229
[13] Sporns O, Chialvo D R, Kaiser M, Hilgetag C C 2004 Trends Cogn. Sci. 8 418
[14] Hou F Z, Dai J F, Liu X F, Huang X L 2014 Acta Phys. Sin. 63 040506 (in Chinese) [侯凤贞, 戴加飞, 刘新峰, 黄晓林 2014 物理学报 63 040506]
[15] Wang J, Yu Z F 2012 Chin. Phys. B 21 018702
[16] Wang J, Zhao D Q 2012 Chin. Phys. B 21 028703
[17] Zhang M, Cui C, Ma Q L, Gan Z L, Wang J 2013 Acta Phys. Sin. 62 068704 (in Chinese) [张梅, 崔超, 马千里, 干宗良, 王俊 2013 物理学报 62 068704]
[18] Xu X, Zhou Y, Ma Q L 2011 J. Nanjing Univ. Posts and Telecomm. 31 37 (in Chinese) [徐欣, 周运, 马千里 2011 南京邮电大学学报 (自然科学版) 31 37]
[19] Achard S, Bullmore E T 2007 PLoS Comput. Biol. 3 174
[20] Wang J, Ma Q L 2008 Chin. Phys. B 17 4424
[21] Frenzel S, Pompe B 2007 Phys. Rev. Lett. 99 204101
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[1] Witte H, Iasemidis L D, Litt B 2003 IEEE Trans. Biomed. Eng. 50 537
[2] Mormann F, Andrzejak R G, Elger C E, Lehnertz K 2007 Brain 130 314
[3] Elger C E, Lehnertz K 1998 Eur. J. Neurosci. 10 786
[4] Lehnertz K, Elger C E 1998 Phys. Rev. Lett. 80 5019
[5] Iasemidis L D, Sackellares J C, Zaveri H P, Williams W J 1990 Brain Topogr. 2 187
[6] Mormann F, Lehnertz K, David P, Elger C E 2000 Physica D 144 358
[7] Iasemidis L D, Pardalos P, Sackellares J C, Shiau D S 2001 J. Comb. Optim. 5 9
[8] Iasemidis L D, Shiau D S, Pardalos P M, Chaovalitwongse W, Narayanan K, Prasad A, Tsakalis K, Carney P R, Sackellares J C 2005 Clin. Neurophysiol. 116 532
[9] Iasemidis L D, et al. 2003 IEEE Trans. Biomed. Eng. 50 616
[10] Bathelt J, O'Reilly H, Clayden J D, Cross J H, de Haan M 2013 NeuroImage 82 595
[11] Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 物理学报 56 7330]
[12] Varela F, Lachaux J P, Rodriguez E, Martinerie J 2001 Nat. Rev. Neurosci. 2 229
[13] Sporns O, Chialvo D R, Kaiser M, Hilgetag C C 2004 Trends Cogn. Sci. 8 418
[14] Hou F Z, Dai J F, Liu X F, Huang X L 2014 Acta Phys. Sin. 63 040506 (in Chinese) [侯凤贞, 戴加飞, 刘新峰, 黄晓林 2014 物理学报 63 040506]
[15] Wang J, Yu Z F 2012 Chin. Phys. B 21 018702
[16] Wang J, Zhao D Q 2012 Chin. Phys. B 21 028703
[17] Zhang M, Cui C, Ma Q L, Gan Z L, Wang J 2013 Acta Phys. Sin. 62 068704 (in Chinese) [张梅, 崔超, 马千里, 干宗良, 王俊 2013 物理学报 62 068704]
[18] Xu X, Zhou Y, Ma Q L 2011 J. Nanjing Univ. Posts and Telecomm. 31 37 (in Chinese) [徐欣, 周运, 马千里 2011 南京邮电大学学报 (自然科学版) 31 37]
[19] Achard S, Bullmore E T 2007 PLoS Comput. Biol. 3 174
[20] Wang J, Ma Q L 2008 Chin. Phys. B 17 4424
[21] Frenzel S, Pompe B 2007 Phys. Rev. Lett. 99 204101
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