Emergence of Small-World and Limitations to Its Maximization in a Macaque Cerebral Cortical Network
ZHAO Qing-Bai1, LIAO Meng-Jie1, CHEN Qi-Cai2**
1School of Psychology and Hubei Human Development and Mental Health Key Laboratory, Central China Normal University, Wuhan 430079 2College of Life Science, Central China Normal University, Wuhan 430079
Emergence of Small-World and Limitations to Its Maximization in a Macaque Cerebral Cortical Network
ZHAO Qing-Bai1, LIAO Meng-Jie1, CHEN Qi-Cai2**
1School of Psychology and Hubei Human Development and Mental Health Key Laboratory, Central China Normal University, Wuhan 430079 2College of Life Science, Central China Normal University, Wuhan 430079
摘要We study both the emergence of small-world topology in a macaque cerebral cortical network and the limitations to maximization of small-worldness. The results show that the maximization of neural complexity leads to a small-world topology, but it also limits the maximization of small-worldness. It is suggested that the modular organization that corresponds to different functions may be a limitation. Additionally, the need for strong resilience against attacks may be another limitation.
Abstract:We study both the emergence of small-world topology in a macaque cerebral cortical network and the limitations to maximization of small-worldness. The results show that the maximization of neural complexity leads to a small-world topology, but it also limits the maximization of small-worldness. It is suggested that the modular organization that corresponds to different functions may be a limitation. Additionally, the need for strong resilience against attacks may be another limitation.
ZHAO Qing-Bai;LIAO Meng-Jie;CHEN Qi-Cai**
. Emergence of Small-World and Limitations to Its Maximization in a Macaque Cerebral Cortical Network[J]. 中国物理快报, 2011, 28(6): 68703-068703.
ZHAO Qing-Bai, LIAO Meng-Jie, CHEN Qi-Cai**
. Emergence of Small-World and Limitations to Its Maximization in a Macaque Cerebral Cortical Network. Chin. Phys. Lett., 2011, 28(6): 68703-068703.
[1] Watts D J and Strogatz S H 1998 Nature 393 440
[2] Hilgetag C C, Burns G A, O'Neill M A, Scannell J W and Young M P 2000 Philos. Trans. R. Soc. London B 355 91
[3] Humphries M, Gurney K and Prescott T 2006 Philos. Trans. R. Soc. London B 273 503
[4] He Y, Chen Z J and Evans A C 2007 Cereb. Cortex 17 2407
[5] Latora V and Marchiori M 2001 Phys. Rev. Lett. 8719 198701
[6] Sporns O and Zwi J D 2004 Neuroinformatics 2 145
[7] Kaiser M and Hilgetag C C 2004 Neurocomputing 58–60 297
[8] Kaiser M and Hilgetag C C 2006 Plos. Comput. Biol. 2 805
[9] Sporns O, Chialvo D R, Kaiser M and Hilgetag C C 2004 Trends Cogn. Sci. 8 418
[10] Bassett D S and Bullmore E 2006 Neuroscientist 12 512
[11] Humphries M and Gurney K 2008 PLoS One 3 e0002051
[12] Tonnni G, Sporns O and Edelman G M 1994 Proc. Natl. Acad. Sci. USA 91 5033
[13] Papoulis A 1991 Probability, Random Variables, and Stochastic Processes (New York: McGraw-Hill)
[14] Sporns O, Tononi G and Edelman G M 2000 Cereb. Cortex 10 127
[15] Newman M E J 2003 SIAM Rev. 45 167
[16] Young M P 1993 Proc. R. Soc. London B 252 13
[17] Newman M E J and Girvan M 2004 Phys. Rev. E 69 026113
[18] Newman M E J 2004 Phys. Rev. E 69 066133
[19] Kaiser M, Martin R, Andras P and Young M P 2007 Eur. J. Neurosci. 25 3185
[20] Hilgetag C C and Kaiser M 2004 Neuroinformatics 2 353
[21] Zemanová L, Zhou C and Kurths J 2006 Physica D 224 202
[22] Chen Z J, He Y, Rosa-Neto P, Germann J and Evans A C 2008 Cereb. Cortex. 18 2374
[23] Zhao Q B, Feng H B and Tang Y Y 2007 Chin. Phys. Lett. 24 3582
[24] Zhao Q B, Tang Y Y, Feng H B, Li C J and Sui D 2008 Physica A 387 5952
[25] Latora V and Marchiori M 2003 Eur. Phys. J. B 32 249
[26] Sporns O and Kötter R 2004 PLoS Boil. 2 e369