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Volumn 72, Issue 7-9, 2009, Pages 1565-1574

Stability of small-world networks of neural populations

Author keywords

Cortical networks; Network spectra; Small world; Stability

Indexed keywords

ANATOMICAL STRUCTURES; AVERAGE NUMBERS; BRAIN ELECTRICAL ACTIVITIES; BRAIN NETWORKS; COMPLEX NETWORKS; CORTICAL NETWORKS; LOCAL CLUSTERING; MARGINAL STABILITIES; NETWORK MODELS; NETWORK SIZES; NETWORK SPECTRA; NETWORK STRUCTURES; NEURAL POPULATIONS; RANDOM NETWORKS; SHORT PATHS; SMALL WORLD; SMALL-WORLD NETWORKS;

EID: 62149126652     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2008.09.006     Document Type: Article
Times cited : (21)

References (54)
  • 1
    • 30744439313 scopus 로고    scopus 로고
    • A resilent, low frequency, small-world human brain functional network with highly connected association cortical hubs
    • Achard S., Salvador R., Whitcher B., Suckling J., and Bullmore E. A resilent, low frequency, small-world human brain functional network with highly connected association cortical hubs. J. Neurosci. 36 (2006) 63-72
    • (2006) J. Neurosci. , vol.36 , pp. 63-72
    • Achard, S.1    Salvador, R.2    Whitcher, B.3    Suckling, J.4    Bullmore, E.5
  • 2
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex network
    • Albert R., and Barabási A.-L. Statistical mechanics of complex network. Rev. Mod. Phys. 74 (2002) 47-97
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 4
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási A.-L., and Albert R. Emergence of scaling in random networks. Science 286 (1999) 509-512
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 5
    • 3343010976 scopus 로고    scopus 로고
    • Synchronization in small-world systems
    • Barahona M., and Pecora L.M. Synchronization in small-world systems. Phys. Rev. Lett. 89 (2002) 054101/1-054101/4
    • (2002) Phys. Rev. Lett. , vol.89
    • Barahona, M.1    Pecora, L.M.2
  • 9
    • 0036189086 scopus 로고    scopus 로고
    • Nonlinear phase desynchronization in human electroncephalographic data
    • Breakspear M. Nonlinear phase desynchronization in human electroncephalographic data. Hum. Brain Mapp. 15 (2002) 175-198
    • (2002) Hum. Brain Mapp. , vol.15 , pp. 175-198
    • Breakspear, M.1
  • 10
    • 33747891705 scopus 로고    scopus 로고
    • A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis
    • Breakspear M., Roberts J.A., Terry J.R., Rodrigues S., Mahant N., and Robinson P.A. A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cereb. Cortex 16 (2006) 1296-1313
    • (2006) Cereb. Cortex , vol.16 , pp. 1296-1313
    • Breakspear, M.1    Roberts, J.A.2    Terry, J.R.3    Rodrigues, S.4    Mahant, N.5    Robinson, P.A.6
  • 11
    • 0037781984 scopus 로고    scopus 로고
    • Modulation of excitatory synaptic coupling facilitates synchronization and complex dynamics in a nonlinear model of neuronal dynamics
    • Breakspear M., Terry J.R., and Friston K.J. Modulation of excitatory synaptic coupling facilitates synchronization and complex dynamics in a nonlinear model of neuronal dynamics. Neurocomputing 52-54 (2003) 151-158
    • (2003) Neurocomputing , vol.52-54 , pp. 151-158
    • Breakspear, M.1    Terry, J.R.2    Friston, K.J.3
  • 12
    • 1642385112 scopus 로고    scopus 로고
    • Interneuron diversity series: circuit complexity and axon wiring economy of cortical interneurons
    • Buzsáki G., Geisler C., Henze D.A., and Wang X.-J. Interneuron diversity series: circuit complexity and axon wiring economy of cortical interneurons. Trends Neurosci. 27 (2004) 186-193
    • (2004) Trends Neurosci. , vol.27 , pp. 186-193
    • Buzsáki, G.1    Geisler, C.2    Henze, D.A.3    Wang, X.-J.4
  • 15
    • 0025718412 scopus 로고
    • Distributed hierarchical processing in the primate cerebral cortex
    • Felleman D.J., and van Essen D.C. Distributed hierarchical processing in the primate cerebral cortex. Cereb. Cortex 1 (1991) 1-47
    • (1991) Cereb. Cortex , vol.1 , pp. 1-47
    • Felleman, D.J.1    van Essen, D.C.2
  • 16
    • 33645684557 scopus 로고    scopus 로고
    • Synchronization in networks with random interactions: theory and applications
    • Feng J., Jirsa V.K., and Ding M. Synchronization in networks with random interactions: theory and applications. Chaos 16 (2006) 015109/1-015109/21
    • (2006) Chaos , vol.16
    • Feng, J.1    Jirsa, V.K.2    Ding, M.3
  • 17
    • 0028190347 scopus 로고
    • Functional and effective connectivity in neuroimaging: a synthesis
    • Friston K.J. Functional and effective connectivity in neuroimaging: a synthesis. Hum. Brain Mapp. 2 (1994) 56-78
    • (1994) Hum. Brain Mapp. , vol.2 , pp. 56-78
    • Friston, K.J.1
  • 18
    • 33846058392 scopus 로고    scopus 로고
    • Stability and spectra of randomly connected excitatory cortical networks
    • Gray R.T., and Robinson P.A. Stability and spectra of randomly connected excitatory cortical networks. Neurocomputing 70 (2007) 1000-1012
    • (2007) Neurocomputing , vol.70 , pp. 1000-1012
    • Gray, R.T.1    Robinson, P.A.2
  • 19
    • 40749084453 scopus 로고    scopus 로고
    • Stability and synchronization of random brain networks with a distribution of connection strengths
    • Gray R.T., and Robinson P.A. Stability and synchronization of random brain networks with a distribution of connection strengths. Neurocomputing 71 (2008) 1373-1387
    • (2008) Neurocomputing , vol.71 , pp. 1373-1387
    • Gray, R.T.1    Robinson, P.A.2
  • 20
    • 62149083790 scopus 로고    scopus 로고
    • Stability of random brain networks with excitatory and inhibitory connections
    • in press, doi:10.1016/j.neucom.2008.06.001
    • R.T. Gray, P.A. Robinson, Stability of random brain networks with excitatory and inhibitory connections, Neurocomputing, in press, doi:10.1016/j.neucom.2008.06.001.
    • Neurocomputing
    • Gray, R.T.1    Robinson, P.A.2
  • 21
    • 0034728118 scopus 로고    scopus 로고
    • Hierarchical organization of macaque and cat cortical sensory systems explored with a novel network processor
    • Hilgetag C.-C., O'neill M.A., and Young M.P. Hierarchical organization of macaque and cat cortical sensory systems explored with a novel network processor. Philos. Trans. R. Soc. London B 355 (2000) 71-89
    • (2000) Philos. Trans. R. Soc. London B , vol.355 , pp. 71-89
    • Hilgetag, C.-C.1    O'neill, M.A.2    Young, M.P.3
  • 22
    • 33646968991 scopus 로고    scopus 로고
    • Synchronization on small-world networks
    • Hong H., Choi M.Y., and Kim B.J. Synchronization on small-world networks. Phys. Rev. E 65 (2002) 026139/1-026139/5
    • (2002) Phys. Rev. E , vol.65
    • Hong, H.1    Choi, M.Y.2    Kim, B.J.3
  • 23
    • 33646689571 scopus 로고    scopus 로고
    • The brainstem reticular formation is a small-world, not scale-free, network
    • Humphries M.D., Gurney K., and Prescott T.J. The brainstem reticular formation is a small-world, not scale-free, network. Proc. R. Soc. B 273 (2006) 503-511
    • (2006) Proc. R. Soc. B , vol.273 , pp. 503-511
    • Humphries, M.D.1    Gurney, K.2    Prescott, T.J.3
  • 24
    • 0033185238 scopus 로고    scopus 로고
    • Emergence and growth of complex networks in adaptive systems
    • Jain S., and Krishna S. Emergence and growth of complex networks in adaptive systems. Comput. Phys. Commun. 121-122 (1999) 116-121
    • (1999) Comput. Phys. Commun. , vol.121-122 , pp. 116-121
    • Jain, S.1    Krishna, S.2
  • 25
    • 19444371087 scopus 로고    scopus 로고
    • Will a large complex system with time delays be stable?
    • Jirsa V.K., and Ding M. Will a large complex system with time delays be stable?. Phys. Rev. Lett. 96 (2004) 070602/1-070602/4
    • (2004) Phys. Rev. Lett. , vol.96
    • Jirsa, V.K.1    Ding, M.2
  • 26
    • 33746636451 scopus 로고    scopus 로고
    • Nonoptimal component placement, but short processing paths, due to long-distance projections in neural systems, PLoS Comput. Biol
    • 2 (2006) e95/1-e95/11
    • M. Kaiser, C.C. Hilgetag, Nonoptimal component placement, but short processing paths, due to long-distance projections in neural systems, PLoS Comput. Biol. 2 (2006) e95/1-e95/11.
    • Kaiser, M.1    Hilgetag, C.C.2
  • 27
  • 28
    • 18244392161 scopus 로고    scopus 로고
    • Economic small-world behavior in weighted networks
    • Latora V., and Marchiori M. Economic small-world behavior in weighted networks. Eur. Phys. J. B 32 (2003) 249-263
    • (2003) Eur. Phys. J. B , vol.32 , pp. 249-263
    • Latora, V.1    Marchiori, M.2
  • 29
    • 2442665339 scopus 로고    scopus 로고
    • Stability of a neural network model with small-world connections
    • Li C., and Chen G. Stability of a neural network model with small-world connections. Phys. Rev. E 68 (2003) 052901/1-052901/4
    • (2003) Phys. Rev. E , vol.68
    • Li, C.1    Chen, G.2
  • 30
    • 37649026843 scopus 로고    scopus 로고
    • Self-organized criticality in a simple model of neurons based on small-world networks
    • Lin M., and Chen T.L. Self-organized criticality in a simple model of neurons based on small-world networks. Phys. Rev. E 71 (2005) 016133/1-016133/5
    • (2005) Phys. Rev. E , vol.71
    • Lin, M.1    Chen, T.L.2
  • 32
    • 0000111267 scopus 로고    scopus 로고
    • Diffusion, localization, and dispersion relations on "small-world" lattices
    • Monasson R. Diffusion, localization, and dispersion relations on "small-world" lattices. Eur. Phys. J. B 12 (1999) 555-567
    • (1999) Eur. Phys. J. B , vol.12 , pp. 555-567
    • Monasson, R.1
  • 33
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman M.E.J. The structure and function of complex networks. SIAM Rev. 45 (2003) 167-256
    • (2003) SIAM Rev. , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 34
    • 0347334779 scopus 로고    scopus 로고
    • Renormalization group analysis of the small-world network model
    • Newman M.E.J., and Watts D.J. Renormalization group analysis of the small-world network model. Phys. Lett. A 263 (1999) 341-346
    • (1999) Phys. Lett. A , vol.263 , pp. 341-346
    • Newman, M.E.J.1    Watts, D.J.2
  • 35
    • 37649026986 scopus 로고    scopus 로고
    • Growing networks with geographical attachment preference: emergence of small worlds
    • Ozik J., Hunt B.R., and Ott E. Growing networks with geographical attachment preference: emergence of small worlds. Phys. Rev. E 69 (2004) 026108/1-026108/5
    • (2004) Phys. Rev. E , vol.69
    • Ozik, J.1    Hunt, B.R.2    Ott, E.3
  • 36
    • 33847360353 scopus 로고    scopus 로고
    • Small-world networks and epilepsy: graph theoretical analysis of intracerebrally recorded mesial temporal lobe seizures
    • Ponten S.C., Bartolomei F., and Stam C.J. Small-world networks and epilepsy: graph theoretical analysis of intracerebrally recorded mesial temporal lobe seizures. Clin. Neurophysiol. 118 (2007) 918-927
    • (2007) Clin. Neurophysiol. , vol.118 , pp. 918-927
    • Ponten, S.C.1    Bartolomei, F.2    Stam, C.J.3
  • 37
    • 27844551326 scopus 로고    scopus 로고
    • R.J. Prill, P.A. Iglesias, A. Levchenko, Dynamic properties of a network motifs contribute to biological network organization, PLoS Biol. 3 (2005) e343/1881-e343/1892.
    • R.J. Prill, P.A. Iglesias, A. Levchenko, Dynamic properties of a network motifs contribute to biological network organization, PLoS Biol. 3 (2005) e343/1881-e343/1892.
  • 38
    • 85035247673 scopus 로고    scopus 로고
    • Dynamics of large-scale brain activity in normal arousal states and epileptic seizures
    • Robinson P.A., Rennie C.J., and Rowe D.L. Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Phys. Rev. E 65 (2002) 041924/1-041924/9
    • (2002) Phys. Rev. E , vol.65
    • Robinson, P.A.1    Rennie, C.J.2    Rowe, D.L.3
  • 39
    • 4444303207 scopus 로고    scopus 로고
    • Estimation of multiscale neurophysiologic parameters by electroencephalographic means
    • Robinson P.A., Rennie C.J., Rowe D.L., and O'Conner S.C. Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Hum. Brain Mapp. 23 (2004) 53-72
    • (2004) Hum. Brain Mapp. , vol.23 , pp. 53-72
    • Robinson, P.A.1    Rennie, C.J.2    Rowe, D.L.3    O'Conner, S.C.4
  • 41
    • 9944219948 scopus 로고    scopus 로고
    • Complexity vs. stability in small-world networks
    • Sinha S. Complexity vs. stability in small-world networks. Phys. A 346 (2005) 147-153
    • (2005) Phys. A , vol.346 , pp. 147-153
    • Sinha, S.1
  • 42
    • 4444318641 scopus 로고    scopus 로고
    • Organization, development and function of complex brain networks
    • Sporns O., Chialvo D.R., Kaiser M., and Hilgetag C.C. Organization, development and function of complex brain networks. Trends Neurosci. 8 (2004) 418-425
    • (2004) Trends Neurosci. , vol.8 , pp. 418-425
    • Sporns, O.1    Chialvo, D.R.2    Kaiser, M.3    Hilgetag, C.C.4
  • 43
    • 0033953083 scopus 로고    scopus 로고
    • Theoretical neuroanatomy: relating anatomical and functional connectivity in graphs and cortical connection matrices
    • Sporns O., Tononi G., and Edelman G.M. Theoretical neuroanatomy: relating anatomical and functional connectivity in graphs and cortical connection matrices. Cereb. Cortex 10 (2000) 127-141
    • (2000) Cereb. Cortex , vol.10 , pp. 127-141
    • Sporns, O.1    Tononi, G.2    Edelman, G.M.3
  • 44
    • 31144436747 scopus 로고    scopus 로고
    • O. Sporns, G. Tononi, R. Kötter, The human connectome: a structural description of the human brain, PLoS Comput. Biol. 1 (2005) e42/245-e42/251.
    • O. Sporns, G. Tononi, R. Kötter, The human connectome: a structural description of the human brain, PLoS Comput. Biol. 1 (2005) e42/245-e42/251.
  • 45
    • 4444229670 scopus 로고    scopus 로고
    • The small world of the cerebral cortex
    • Sporns O., and Zwi J.D. The small world of the cerebral cortex. Neuroinformatics 2 (2004) 145-161
    • (2004) Neuroinformatics , vol.2 , pp. 145-161
    • Sporns, O.1    Zwi, J.D.2
  • 47
    • 0347914619 scopus 로고    scopus 로고
    • Functional connectivity patterns of human magnetoencephalographic recordings: a 'small-world' network?
    • Stam C.J. Functional connectivity patterns of human magnetoencephalographic recordings: a 'small-world' network?. Neurosci. Lett. 355 (2004) 25-28
    • (2004) Neurosci. Lett. , vol.355 , pp. 25-28
    • Stam, C.J.1
  • 48
    • 33845742477 scopus 로고    scopus 로고
    • Small-world networks and functional connectivity in Alzheimer's disease
    • Stam C.J., Jones B.F., Nolte G., Breakspear M., and Scheltans P. Small-world networks and functional connectivity in Alzheimer's disease. Cereb. Cortex 17 (2007) 92-99
    • (2007) Cereb. Cortex , vol.17 , pp. 92-99
    • Stam, C.J.1    Jones, B.F.2    Nolte, G.3    Breakspear, M.4    Scheltans, P.5
  • 51
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 53
    • 0027273888 scopus 로고
    • The organization of neural systems in the primate cerebral cortex
    • Young M.P. The organization of neural systems in the primate cerebral cortex. Proc. R. Soc. London B 252 (1993) 13-18
    • (1993) Proc. R. Soc. London B , vol.252 , pp. 13-18
    • Young, M.P.1
  • 54
    • 33644859121 scopus 로고    scopus 로고
    • A deterministic small-world network created by edge iterations
    • Zhang Z., Rong L., and Guo C. A deterministic small-world network created by edge iterations. Phys. A 363 (2005) 567-572
    • (2005) Phys. A , vol.363 , pp. 567-572
    • Zhang, Z.1    Rong, L.2    Guo, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.