메뉴 건너뛰기




Volumn 5, Issue , 2011, Pages

Methods for generating complex networks with selected structural properties for simulations: A review and tutorial for neuroscientists

Author keywords

Brain networks; Complex networks; Cortical networks; Directed network; Network simulation; Scale free network; Small world network

Indexed keywords

BRAIN; DISTRIBUTED COMPUTER SYSTEMS; SMALL-WORLD NETWORKS;

EID: 84959529931     PISSN: None     EISSN: 16625188     Source Type: Journal    
DOI: 10.3389/fncom.2011.00011     Document Type: Review
Times cited : (74)

References (51)
  • 1
    • 33847283332 scopus 로고    scopus 로고
    • Efficiency and cost of economical brain functional networks
    • Achard, S., and Bullmore, E. (2007). Efficiency and cost of economical brain functional networks. PLoS Comput. Biol. 3, e17. doi: 10.1371/journal.pcbi.0030017
    • (2007) Plos Comput. Biol , vol.3
    • Achard, S.1    Bullmore, E.2
  • 2
    • 0142077573 scopus 로고    scopus 로고
    • Topology of evolving networks: Local events and universality
    • Albert, R., and Barabási, A.-L. (2000). Topology of evolving networks: local events and universality. Phys. Rev. Lett. 85, 5234-5237.
    • (2000) Phys. Rev. Lett , vol.85 , pp. 5234-5237
    • Albert, R.1    Barabási, A.-L.2
  • 3
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert, R., and Barabási, A.-L. (2002). Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 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. (1999). Emergence of scaling in random networks. Science 286, 509-512
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 5
    • 18744421488 scopus 로고    scopus 로고
    • Mean-field theory for scalefree random networks
    • Barabási, A.-L., Albert, R., and Jeong, H. (1999). Mean-field theory for scalefree random networks. Physica A 272, 173-187.
    • (1999) Physica A , vol.272 , pp. 173-187
    • Barabási, A.-L.1    Albert, R.2    Jeong, H.3
  • 7
    • 0042527883 scopus 로고    scopus 로고
    • On the properties of small-world network models
    • Barrat, A., and Weigt, M. (2000). On the properties of small-world network models. Eur. Phys. J. B 13, 547-560
    • (2000) Eur. Phys. J. B , vol.13 , pp. 547-560
    • Barrat, A.1    Weigt, M.2
  • 8
    • 33750466904 scopus 로고    scopus 로고
    • Small-world brain networks
    • Bassett, D. S., and Bullmore, E. (2006). Small-world brain networks. Neuroscientist 12, 512-523.
    • (2006) Neuroscientist , vol.12 , pp. 512-523
    • Bassett, D.S.1    Bullmore, E.2
  • 9
    • 0035795486 scopus 로고    scopus 로고
    • Competition and multiscaling in evolving networks
    • Bianconi, G., and Barabási, A.-L. (2001). Competition and multiscaling in evolving networks. Europhys. Lett. 54, 436-442.
    • (2001) Europhys. Lett , vol.54 , pp. 436-442
    • Bianconi, G.1    Barabási, A.-L.2
  • 11
    • 0242663620 scopus 로고    scopus 로고
    • Class of correlated random networks with hidden variables
    • Boguñá, M., and Pastor-Satorras, R. (2003). Class of correlated random networks with hidden variables. Phys. Rev. E 68, 036112
    • (2003) Phys. Rev. E , vol.68
    • Boguñá, M.1    Pastor-Satorras, R.2
  • 12
    • 2542530739 scopus 로고    scopus 로고
    • The diameter of a scale-free random graph
    • Bollobás, B., and Riordan, O. (2004). The diameter of a scale-free random graph. Combinatorica 24, 5-34.
    • (2004) Combinatorica , vol.24 , pp. 5-34
    • Bollobás, B.1    Riordan, O.2
  • 13
    • 60549103853 scopus 로고    scopus 로고
    • Complex brain networks: Graph theoretical analysis of structural and functional systems
    • Bullmore, E., and Sporns, O. (2009). Complex brain networks: graph theoretical analysis of structural and functional systems. Nat. Rev. Neurosci. 10, 186-198.
    • (2009) Nat. Rev. Neurosci , vol.10 , pp. 186-198
    • Bullmore, E.1    Sporns, O.2
  • 16
    • 0034310713 scopus 로고    scopus 로고
    • Structure of growing networks with preferential linking
    • Dorogovtsev, S. N., Mendes, J. F. F., and Samukhin, A. N. (2000). Structure of growing networks with preferential linking. Phys. Rev. Lett. 85, 4633-4636.
    • (2000) Phys. Rev. Lett , vol.85 , pp. 4633-4636
    • Dorogovtsev, S.N.1    Mendes, J.F.F.2    Samukhin, A.N.3
  • 19
    • 34548065453 scopus 로고    scopus 로고
    • Clustering in complex directed networks
    • Fagiolo, G. (2007). Clustering in complex directed networks. Phys. Rev. E 76, 026107.
    • (2007) Phys. Rev. E , vol.76
    • Fagiolo, G.1
  • 20
    • 50949092087 scopus 로고    scopus 로고
    • Scale-free neocortical dynamics
    • Freeman, W. J., and Breakspear, M. (2007). Scale-free neocortical dynamics. Scholarpedia 2, 1357.
    • (2007) Scholarpedia , vol.2 , pp. 1357
    • Freeman, W.J.1    Breakspear, M.2
  • 22
    • 0026257928 scopus 로고
    • Graph drawing by forcedirected placement
    • Fruchterman, T. M. J., and Reingold, E. M. (1991). Graph drawing by forcedirected placement. Softw. Pract. Exp. 21, 1129-1164.
    • (1991) Softw. Pract. Exp , vol.21 , pp. 1129-1164
    • Fruchterman, T.M.J.1    Reingold, E.M.2
  • 23
    • 0001510996 scopus 로고
    • Random graphs
    • Gilbert, E. N. (1959). Random graphs. Ann. Math. Stat. 30, 1141-1144
    • (1959) Ann. Math. Stat. , vol.30 , pp. 1141-1144
    • Gilbert, E.N.1
  • 24
    • 0037062448 scopus 로고    scopus 로고
    • Community structure in social and biological networks
    • Girvan, M., and Newman, M. E. J. (2002). Community structure in social and biological networks. Proc. Natl. Acad. Sci. U.S.A. 99, 7821-7826.
    • (2002) Proc. Natl. Acad. Sci. U.S.A. , vol.99 , pp. 7821-7826
    • Girvan, M.1    Newman, M.E.J.2
  • 25
    • 34548837501 scopus 로고    scopus 로고
    • Small-world anatomical networks in the human brain revealed by cortical thickness from MRI
    • He, Y., Chen, Z. J., and Evans, A. C. (2007). Small-world anatomical networks in the human brain revealed by cortical thickness from MRI. Cereb. Cortex 17, 2407-2419.
    • (2007) Cereb. Cortex , vol.17 , pp. 2407-2419
    • He, Y.1    Chen, Z.J.2    Evans, A.C.3
  • 26
    • 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. (2006). The brainstem reticular formation is a small-world, not scale-free, network. Proc. R. Soc. B 273, 503-511.
    • (2006) Proc. R. Soc. B , vol.273 , pp. 503-511
    • Humphries, M.D.1    Gurney, K.2    Prescott, T.J.3
  • 27
    • 73949128757 scopus 로고    scopus 로고
    • Interplay between topology and dynamics in excitation patterns on hierarchical graphs
    • Hütt, M.-T., and Lesne, A. (2009). Interplay between topology and dynamics in excitation patterns on hierarchical graphs. Front. Neuroinformatics 3:28. doi: 10.3389/neuro.11.028.2009
    • (2009) Front. Neuroinformatics , vol.3
    • Hütt, M.-T.1    Lesne, A.2
  • 28
    • 41349116090 scopus 로고    scopus 로고
    • Highly clustered scale-free networks
    • Klemm, K., and Eguílez, V. (2002a). Highly clustered scale-free networks. Phys. Rev. E 65, 036123.
    • (2002) Phys. Rev. E , vol.65
    • Klemm, K.1    Eguílez, V.2
  • 29
    • 41349086001 scopus 로고    scopus 로고
    • Growing scale-free networks with small-world behavior
    • Klemm, K., and Eguílez, V. M. (2002b). Growing scale-free networks with small-world behavior. Phys. Rev. E 65, 57102.
    • (2002) Phys. Rev. E , vol.65
    • Klemm, K.1    Eguílez, V.M.2
  • 30
    • 40749128511 scopus 로고    scopus 로고
    • Consensus formation on adaptive networks
    • Kozma, B., and Barrat, A. (2008). Consensus formation on adaptive networks. Phys. Rev. E 77, 016102
    • (2008) Phys. Rev. E , vol.77
    • Kozma, B.1    Barrat, A.2
  • 31
    • 0003124595 scopus 로고
    • A method of matrix analysis of group structure
    • Luce, R., and Perry, A. (1949). A method of matrix analysis of group structure. Psychometrika 14, 95-116.
    • (1949) Psychometrika , vol.14 , pp. 95-116
    • Luce, R.1    Perry, A.2
  • 32
    • 79955471193 scopus 로고    scopus 로고
    • Modular and hierarchically modular organization of brain networks
    • Meunier, D., Lambiotte, R., and Bullmore, E. T. (2010). Modular and hierarchically modular organization of brain networks. Front. Neurosci. 4: 200. doi:10.3389/fnins.2010.00200
    • (2010) Front. Neurosci , vol.4
    • Meunier, D.1    Lambiotte, R.2    Bullmore, E.T.3
  • 33
    • 0002687371 scopus 로고
    • The small world problem
    • Milgram, S. (1967). The small world problem. Psychol. Today 2, 60-67.
    • (1967) Psychol. Today , vol.2 , pp. 60-67
    • Milgram, S.1
  • 34
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • Molloy, M., and Reed, B. (1995). A critical point for random graphs with a given degree sequence. Random Struct. Algorithms 6, 161-180.
    • (1995) Random Struct. Algorithms , vol.6 , pp. 161-180
    • Molloy, M.1    Reed, B.2
  • 36
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman, M. E. J. (2003). The structure and function of complex networks. SIAM Rev. 45, 167-256.
    • (2003) SIAM Rev , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 37
    • 0034599275 scopus 로고    scopus 로고
    • Mean-field solution of the small-world network model
    • Newman, M. E. J., Moore, C., and Watts, D. J. (2000). Mean-field solution of the small-world network model. Phys. Rev. Lett. 84, 3201-3204.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 3201-3204
    • Newman, M.E.J.1    Moore, C.2    Watts, D.J.3
  • 38
    • 0035420732 scopus 로고    scopus 로고
    • Random graphs with arbitrary degree distributions and their applications
    • Newman, M. E. J., Strogatz, S. H., and Watts, D. J. (2001). Random graphs with arbitrary degree distributions and their applications. Phys. Rev. E 64, 026118.
    • (2001) Phys. Rev. E , vol.64
    • Newman, M.E.J.1    Strogatz, S.H.2    Watts, D.J.3
  • 40
    • 70249108847 scopus 로고    scopus 로고
    • An adaptive complex network model for brain functional networks
    • Portillo, I. J. G., and Gleiser, P. M. (2009). An adaptive complex network model for brain functional networks. PLoS ONE 4, e6863. doi: 10.1371/journal.pone.0006863
    • (2009) Plos ONE , vol.4
    • Portillo, I.J.G.1    Gleiser, P.M.2
  • 41
    • 0000432228 scopus 로고
    • Networks of scientific papers
    • Price, D. J. S. (1965). Networks of scientific papers. Science (New York) 149, 510
    • (1965) Science (New York) , vol.149
    • Price, D.J.S.1
  • 42
    • 84930064585 scopus 로고    scopus 로고
    • Hierarchical organization in complex networks
    • Ravasz, E., and Barabási, A. -L. (2003). Hierarchical organization in complex networks. Phys. Rev. E 67, 026112
    • (2003) Phys. Rev. E , vol.67
    • Ravasz, E.1    Barabási, A.-L.2
  • 43
    • 3042558271 scopus 로고    scopus 로고
    • Self-sustained activity in a small-world network of excitable neurons
    • Roxin, A., Riecke, H., and Solla, S. A. (2004). Self-sustained activity in a small-world network of excitable neurons. Phys. Rev. Lett. 92, 198101.
    • (2004) Phys. Rev. Lett , vol.92
    • Roxin, A.1    Riecke, H.2    Solla, S.A.3
  • 44
    • 77954385460 scopus 로고    scopus 로고
    • Complex network measures of brain connectivity: Uses and interpretations
    • Rubinov, M., and Sporns, O. (2010). Complex network measures of brain connectivity: uses and interpretations. Neuroimage 52, 1059-1069.
    • (2010) Neuroimage , vol.52 , pp. 1059-1069
    • Rubinov, M.1    Sporns, O.2
  • 45
    • 27844434308 scopus 로고    scopus 로고
    • Approximating clustering coefficient and transitivity
    • Schank, T., and Wagner, D. (2005). Approximating clustering coefficient and transitivity. J. Graph Algorithms Appl. 9, 265-275.
    • (2005) J. Graph Algorithms Appl , vol.9 , pp. 265-275
    • Schank, T.1    Wagner, D.2
  • 46
    • 56149119251 scopus 로고    scopus 로고
    • Dynamical complexity in small-world networks of spiking neurons
    • Shanahan, M. (2008). Dynamical complexity in small-world networks of spiking neurons. Phys. Rev. E 78, 041924
    • (2008) Phys. Rev. E , vol.78
    • Shanahan, M.1
  • 47
    • 26944456272 scopus 로고    scopus 로고
    • Network clustering coefficient without degree-correlation biases
    • Soffer, S. N., and Vázquez, A. (2005). Network clustering coefficient without degree-correlation biases. Phys. Rev. E 71, 057101
    • (2005) Phys. Rev. E , vol.71
    • Soffer, S.N.1    Vázquez, A.2
  • 48
    • 26444533395 scopus 로고    scopus 로고
    • Highly nonrandom features of synaptic con- nectivity in local cortical circuits
    • Song, S., Sjöström, P. J., Reigl, M., Nelson, S., and Chklovskii, D. B. (2005). Highly nonrandom features of synaptic con- nectivity in local cortical circuits. PLoS Biol. 3, e350. doi:10.1371/journal.pbio.0030350
    • (2005) Plos Biol , vol.3
    • Song, S.1    Sjöström, P.J.2    Reigl, M.3    Nelson, S.4    Chklovskii, D.B.5
  • 51
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of “small-world” networks
    • Watts, D. J., and Strogatz, S. H. (1998). Collective dynamics of “small-world” networks. Nature 393, 440-442
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.