-
3
-
-
0032482432
-
Collective dynamics of 'small world' networks
-
doi:10.1038/30918)
-
Watts DJ, Strogatz SH. 1998 Collective dynamics of 'small world' networks. Nature 393, 440-442. (doi:10.1038/30918)
-
(1998)
Nature
, vol.393
, pp. 440-442
-
-
Watts, D.J.1
Strogatz, S.H.2
-
4
-
-
0038483826
-
Emergence of scaling in random networks
-
doi:10.1126/science.286.5439.509
-
Barabási AL, Albert R. 1999 Emergence of scaling in random networks. Science 286, 509-512. (doi:10.1126/science.286.5439.509)
-
(1999)
Science
, vol.286
, pp. 509-512
-
-
Barabási, A.L.1
Albert, R.2
-
5
-
-
56549084695
-
Synchronization in complex networks
-
doi:10.1016/j.physrep.2008.09.002
-
Arenas A, Díaz-Guilera D, Kurths J, Moreno Y, Zhou C. 2008 Synchronization in complex networks. Phys. Rep. 469, 93-153. (doi:10.1016/j.physrep.2008.09.002)
-
(2008)
Phys. Rep.
, vol.469
, pp. 93-153
-
-
Arenas, A.1
Díaz-Guilera, D.2
Kurths, J.3
Moreno, Y.4
Zhou, C.5
-
8
-
-
16344387731
-
Epileptic seizures and epilepsy: Definitions proposed by the International League Against Epilepsy (ILAE) and the International Bureau for Epilepsy (IBE)
-
doi:10.1111/j.0013-9580.2005.66104.x
-
Fisher RS, Boas WE, Blume W, Elger C, Genton P, Lee P, Engel Jr J. 2005 Epileptic seizures and epilepsy: definitions proposed by the International League Against Epilepsy (ILAE) and the International Bureau for Epilepsy (IBE). Epilepsia 46, 470-472. (doi:10.1111/j.0013-9580.2005.66104.x)
-
(2005)
Epilepsia
, vol.46
, pp. 470-472
-
-
Fisher, R.S.1
Boas, W.E.2
Blume, W.3
Elger, C.4
Genton, P.5
Lee, P.6
Engel Jr., J.7
-
9
-
-
84857904402
-
Synchrony and asynchrony for neuronal dynamics defined on complex networks
-
doi:10. 1007/s11538-011-9674-0
-
DeVille R, Peskin C. 2012 Synchrony and asynchrony for neuronal dynamics defined on complex networks. Bull. Math. Biol. 74, 769-802. (doi:10. 1007/s11538-011-9674-0)
-
(2012)
Bull. Math. Biol.
, vol.74
, pp. 769-802
-
-
Deville, R.1
Peskin, C.2
-
10
-
-
77953474234
-
Optimal hierarchical modular topologies for producing limited sustained activation of neural networks
-
doi:10.3389/fninf.2010.00008
-
Kaiser M, Hiletag C. 2010 Optimal hierarchical modular topologies for producing limited sustained activation of neural networks. Front. Neuroinform. 4, 8. (doi:10.3389/fninf.2010.00008)
-
(2010)
Front. Neuroinform.
, vol.4
, pp. 8
-
-
Kaiser, M.1
Hiletag, C.2
-
11
-
-
34248230738
-
Criticality of spreading dynamics in hierarchical cluster networks without inhibition
-
doi:10. 1088/1367-2630/9/5/110
-
Kaiser M, Görner M, Hilgetag C. 2007 Criticality of spreading dynamics in hierarchical cluster networks without inhibition. New J. Phys. 9, 110. (doi:10. 1088/1367-2630/9/5/110)
-
(2007)
New J. Phys.
, vol.9
, pp. 110
-
-
Kaiser, M.1
Görner, M.2
Hilgetag, C.3
-
12
-
-
0034728112
-
Global relationship between anatomical connectivity and activity propagation in the cerebral cortex
-
doi:10.1098/rstb.2000.0553
-
Kötter R, Sommer FT. 2000 Global relationship between anatomical connectivity and activity propagation in the cerebral cortex. Phil. Trans. R. Soc. Lond. B 355, 127-134. (doi:10.1098/rstb.2000.0553)
-
(2000)
Phil. Trans. R. Soc. Lond. B
, vol.355
, pp. 127-134
-
-
Kötter, R.1
Sommer, F.T.2
-
13
-
-
3042558271
-
Self-sustained activity in a small-world network of excitable neurons
-
doi:10.1103/PhysRevLett.92.198101)
-
Roxin A, Riecke H, Solla SA. 2004 Self-sustained activity in a small-world network of excitable neurons. Phys. Rev. Lett. 92, 198101. (doi:10.1103/PhysRevLett.92.198101)
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 198101
-
-
Roxin, A.1
Riecke, H.2
Solla, S.A.3
-
14
-
-
77955348210
-
Coalescence and fragmentation of cortical networks during focal seizures
-
doi:10.1523/JNEUROSCI.6309-09.2010
-
Kramer MA, Eden UT, Kolaczyk ED, Zepeda R, Eskandar EN, Cash SS. 2010 Coalescence and fragmentation of cortical networks during focal seizures. J. Neurosci. 30, 10 076-10 085. (doi:10. 1523/JNEUROSCI.6309-09.2010)
-
(2010)
J. Neurosci.
, vol.30
, pp. 10076-10085
-
-
Kramer, M.A.1
Eden, U.T.2
Kolaczyk, E.D.3
Zepeda, R.4
Eskandar, E.N.5
Cash, S.S.6
-
15
-
-
24744469980
-
Power laws, Pareto distributions and Zipf's law
-
doi:10.1080/00107510500052444
-
Newman MEJ. 2005 Power laws, Pareto distributions and Zipf's law. Contemp. Phys. 46, 323-351. (doi:10.1080/00107510500052444)
-
(2005)
Contemp. Phys.
, vol.46
, pp. 323-351
-
-
Newman, M.E.J.1
-
16
-
-
84864828371
-
Linking network structure and transient and equilibrium integrate-and-fire dynamics
-
doi:10.1142/S021812741250174X
-
Comin C, Batista JLB, Costa L da F, Travençolo BAN, Kaiser M. 2012 Linking network structure and transient and equilibrium integrate-and-fire dynamics. Int. J. Bifurcat. Chaos 22, 1250174. (doi:10.1142/S021812741250174X)
-
(2012)
Int. J. Bifurcat. Chaos
, vol.22
, pp. 1250174
-
-
Comin, C.1
Batista, J.L.B.2
Da Costa, L.F.3
Travençolo, B.A.N.4
Kaiser, M.5
-
17
-
-
4644317180
-
Epilepsy in small-world networks
-
doi:10.1523/JNEUROSCI.1509-04.2004
-
Netoff TI, Clewley R, Arno S, Keck T, White JA. 2004 Epilepsy in small-world networks. J. Neurosci. 24, 8075-8083. (doi:10.1523/JNEUROSCI.1509- 04.2004)
-
(2004)
J. Neurosci.
, vol.24
, pp. 8075-8083
-
-
Netoff, T.I.1
Clewley, R.2
Arno, S.3
Keck, T.4
White, J.A.5
-
18
-
-
79451475362
-
Spatial networks
-
doi:10.1016/j.physrep.2010.11.002
-
Bathélemy M. 2011 Spatial networks. Phys. Rep. 499, 1-101. (doi:10.1016/j.physrep.2010.11.002)
-
(2011)
Phys. Rep.
, vol.499
, pp. 1-101
-
-
Bathélemy, M.1
-
19
-
-
33847262464
-
Realistically coupled neural mass models can generate EEG rhythms
-
doi:10.1162/neco. 2007.19.2.478
-
Sotero RC, Trujillo-Barreto NJ, Iturria-Medina Y, Carbonell F, Jimenez JC. 2007 Realistically coupled neural mass models can generate EEG rhythms. Neural Comput. 19, 478-512. (doi:10.1162/neco. 2007.19.2.478)
-
(2007)
Neural Comput.
, vol.19
, pp. 478-512
-
-
Sotero, R.C.1
Trujillo-Barreto, N.J.2
Iturria-Medina, Y.3
Carbonell, F.4
Jimenez, J.C.5
-
20
-
-
84872906784
-
Towards a large-scale model of patient-specific epileptic spike-wave discharges
-
doi:10.1007/s00422-012-0534-2)
-
Taylor PN, Goodfellow M, Wang Y, Baier G. 2013 Towards a large-scale model of patient-specific epileptic spike-wave discharges. Biol. Cybern. 107, 83-94. (doi:10.1007/s00422-012-0534-2)
-
(2013)
Biol. Cybern.
, vol.107
, pp. 83-94
-
-
Taylor, P.N.1
Goodfellow, M.2
Wang, Y.3
Baier, G.4
-
21
-
-
84855471828
-
Selforganised transients in a neural mass model of epileptogenic tissue dynamics
-
doi:10.1016/j.neuroimage.2011.08.060)
-
Goodfellow M, Schindler K, Baier G. 2012 Selforganised transients in a neural mass model of epileptogenic tissue dynamics. NeuroImage 59, 2644-2660. (doi:10.1016/j.neuroimage.2011.08.060)
-
(2012)
NeuroImage
, vol.59
, pp. 2644-2660
-
-
Goodfellow, M.1
Schindler, K.2
Baier, G.3
-
22
-
-
63849101191
-
Multistability, local pattern formation, and global collective firing in a small-world network of nonleaky integrate-and-fire neurons
-
doi:10.1063/1.3087432)
-
Rothkegal A, Lehnertz K. 2009 Multistability, local pattern formation, and global collective firing in a small-world network of nonleaky integrate-and-fire neurons. Chaos 19, 015109. (doi:10.1063/1.3087432)
-
(2009)
Chaos
, vol.19
, pp. 015109
-
-
Rothkegal, A.1
Lehnertz, K.2
-
23
-
-
79959700035
-
A tutorial in connectome analysis: Topological and spatial features of brain networks
-
doi:10.1016/j.neuroimage.2011.05.025
-
Kaiser M. 2011 A tutorial in connectome analysis: topological and spatial features of brain networks. NeuroImage 57, 892-907. (doi:10.1016/j. neuroimage.2011.05.025)
-
(2011)
NeuroImage
, vol.57
, pp. 892-907
-
-
Kaiser, M.1
-
24
-
-
0027998932
-
Persistent tangled vortex rings in generic excitable media
-
doi:10.1038/371233a0)
-
Winfree AT. 1994 Persistent tangled vortex rings in generic excitable media. Nature 371, 233-236. (doi:10.1038/371233a0)
-
(1994)
Nature
, vol.371
, pp. 233-236
-
-
Winfree, A.T.1
-
25
-
-
62749189854
-
Dynamics of epileptic seizures: Evolution, spreading, and suppression
-
doi:10. 1016/j.jtbi.2008.12.009
-
Kim JW, Roberts JA, Robinson PA. 2009 Dynamics of epileptic seizures: evolution, spreading, and suppression. J. Theor. Biol. 257, 527-532. (doi:10. 1016/j.jtbi.2008.12.009)
-
(2009)
J. Theor. Biol.
, vol.257
, pp. 527-532
-
-
Kim, J.W.1
Roberts, J.A.2
Robinson, P.A.3
-
26
-
-
77955338137
-
Spatiotemporal patterns of electrocorticographic very fast oscillations (>80 Hz) consistent with a network model based on electrical coupling between principal neurons
-
doi:10.1111/j.1528-1167.2009.02420.x
-
Traub RD, Duncan R, Russell AJC, Baldeweg T, Tu Y, Cunningham MO, Whittington MA. 2010 Spatiotemporal patterns of electrocorticographic very fast oscillations (>80 Hz) consistent with a network model based on electrical coupling between principal neurons. Epilepsia 51, 1587-1597. (doi:10.1111/j.1528-1167.2009.02420.x)
-
(2010)
Epilepsia
, vol.51
, pp. 1587-1597
-
-
Traub, R.D.1
Duncan, R.2
Russell, A.J.C.3
Baldeweg, T.4
Tu, Y.5
Cunningham, M.O.6
Whittington, M.A.7
-
27
-
-
84956515648
-
The mathematical formulation of the problem of conduction of impulses in a network of connected excitable elements, specifically in cardiac muscle
-
Wiener N, Rosenbluth N. 1946 The mathematical formulation of the problem of conduction of impulses in a network of connected excitable elements, specifically in cardiac muscle. Arch. Inst. Cardiol. Mex. 16, 205-265.
-
(1946)
Arch. Inst. Cardiol. Mex.
, vol.16
, pp. 205-265
-
-
Wiener, N.1
Rosenbluth, N.2
-
28
-
-
0018186904
-
A mathematical model for spreading cortical depression
-
doi:10.1016/S0006-3495(78)85447-2
-
Tuckwell HC, Miura RM. 1978 A mathematical model for spreading cortical depression. Biophys. J. 23, 257-276. (doi:10.1016/S0006-3495(78)85447-2)
-
(1978)
Biophys. J.
, vol.23
, pp. 257-276
-
-
Tuckwell, H.C.1
Miura, R.M.2
-
29
-
-
39649117125
-
Efficient control of transient wave forms to prevent spreading depolarizations
-
doi:10.1016/j.jtbi.2007.11.019
-
Dahlem MA, Schneider FM, Scholl E. 2008 Efficient control of transient wave forms to prevent spreading depolarizations. J. Theor. Biol. 251, 202-209. (doi:10.1016/j.jtbi.2007.11.019)
-
(2008)
J. Theor. Biol.
, vol.251
, pp. 202-209
-
-
Dahlem, M.A.1
Schneider, F.M.2
Scholl, E.3
-
30
-
-
33947724499
-
Characterization of complex networks: A survey of measurements
-
doi:10.1080/00018730601170527
-
Costa L da F, Rodrigues FA, Travieso G, Villas Boas PR. 2007 Characterization of complex networks: a survey of measurements. Adv. Phys. 56, 167-242. (doi:10.1080/00018730601170527)
-
(2007)
Adv. Phys.
, vol.56
, pp. 167-242
-
-
Da Costa, L.F.1
Rodrigues, F.A.2
Travieso, G.3
Villas Boas, P.R.4
-
31
-
-
84862978353
-
Cortical cartography and Caret software
-
doi:10.1016/j. neuroimage.2011.10.077
-
Van Essen DC. 2012 Cortical cartography and Caret software. NeuroImage 62, 757-764. (doi:10.1016/j. neuroimage.2011.10.077)
-
(2012)
NeuroImage
, vol.62
, pp. 757-764
-
-
Van Essen, D.C.1
-
33
-
-
41349109716
-
Random geometric graphs
-
doi:10.1103/PhysRevE.66.016121)
-
Dall J, Christensen M. 2002 Random geometric graphs. Phys. Rev. E 66, 016121. (doi:10.1103/PhysRevE.66.016121)
-
(2002)
Phys. Rev. E
, vol.66
, pp. 016121
-
-
Dall, J.1
Christensen, M.2
-
34
-
-
76249091038
-
A nonsynaptic mechanism underlying interictal discharges in human epileptic neocortex
-
doi:10.1073/pnas.0912652107
-
Roopun AK et al. 2010 A nonsynaptic mechanism underlying interictal discharges in human epileptic neocortex. Proc. Natl Acad. Sci. USA 107, 338-343. (doi:10.1073/pnas.0912652107)
-
(2010)
Proc. Natl Acad. Sci. USA
, vol.107
, pp. 338-343
-
-
Roopun, A.K.1
-
35
-
-
0036208029
-
Neural networks in human epilepsy: Evidence of and implications for treatment
-
doi:10.1046/j.1528-1157.2002.26901.x
-
Spencer SS. 2002 Neural networks in human epilepsy: evidence of and implications for treatment. Epilepsia 43, 219-227. (doi:10.1046/j. 1528-1157.2002.26901.x)
-
(2002)
Epilepsia
, vol.43
, pp. 219-227
-
-
Spencer, S.S.1
-
36
-
-
77956367337
-
Microseizures and the spatiotemporal scales of human partial epilepsy
-
doi:10.1093/brain/awq190
-
Stead M, Bower M, Brinkmann BH, Lee K, Marsh WR, Meyer FB, Litt B, Van Gompel J, Worrell GA. 2010 Microseizures and the spatiotemporal scales of human partial epilepsy. Brain 133, 2789-2797. (doi:10.1093/brain/awq190)
-
(2010)
Brain
, vol.133
, pp. 2789-2797
-
-
Stead, M.1
Bower, M.2
Brinkmann, B.H.3
Lee, K.4
Marsh, W.R.5
Meyer, F.B.6
Litt, B.7
Van Gompel, J.8
Worrell, G.A.9
-
37
-
-
84863998904
-
Modelling the role of tissue heterogeneity in epileptic rhythms
-
doi:10.1111/j.1460-9568.2012.08093.x)
-
Goodfellow M, Taylor PN, Wang Y, Garry DJ, Baier G. 2012 Modelling the role of tissue heterogeneity in epileptic rhythms. Eur. J. Neurosci. 36, 2178-2187. (doi:10.1111/j.1460-9568.2012.08093.x)
-
(2012)
Eur. J. Neurosci.
, vol.36
, pp. 2178-2187
-
-
Goodfellow, M.1
Taylor, P.N.2
Wang, Y.3
Garry, D.J.4
Baier, G.5
-
38
-
-
18144406182
-
Scale-free brain functional networks
-
doi:10.1103/PhysRevLett.94.018102)
-
Eguiluz VM, Chialvo DR, Cecchi GA, Baliki M, Apkarian AV. 2005 Scale-free brain functional networks. Phys. Rev. Lett. 94, 018102. (doi:10.1103/ PhysRevLett.94.018102)
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 018102
-
-
Eguiluz, V.M.1
Chialvo, D.R.2
Cecchi, G.A.3
Baliki, M.4
Apkarian, A.V.5
-
39
-
-
30744439313
-
A resilient, low-frequency, smallworld human brain functional network with highly connected association cortical hubs
-
doi:10.1523/JNEUROSCI.3874-05.2006
-
Achard S, Salvador R, Whitcher B, Suckling J, Bullmore E. 2006 A resilient, low-frequency, smallworld human brain functional network with highly connected association cortical hubs. J. Neurosci. 26, 63-72. (doi:10.1523/JNEUROSCI.3874-05.2006)
-
(2006)
J. Neurosci.
, vol.26
, pp. 63-72
-
-
Achard, S.1
Salvador, R.2
Whitcher, B.3
Suckling, J.4
Bullmore, E.5
-
40
-
-
38349140387
-
Identification and classification of hubs in brain networks
-
doi:10.1371/journal.pone.0001049
-
Sporns O, Honey CJ, Kötter R. 2007 Identification and classification of hubs in brain networks. PLoS ONE 2, e1049. (doi:10.1371/journal.pone. 0001049)
-
(2007)
PLoS ONE
, vol.2
-
-
Sporns, O.1
Honey, C.J.2
Kötter, R.3
-
41
-
-
34250001993
-
Simulation of robustness against lesions of cortical networks
-
doi:10.1111/j.1460-9568.2007.05574.x
-
Kaiser M, Martin R, Andras P, Young MP. 2007 Simulation of robustness against lesions of cortical networks. Eur. J. Neurosci. 25, 3185-3192. (doi:10.1111/j.1460-9568.2007.05574.x)
-
(2007)
Eur. J. Neurosci.
, vol.25
, pp. 3185-3192
-
-
Kaiser, M.1
Martin, R.2
Andras, P.3
Young, M.P.4
-
42
-
-
77953367591
-
Cortical hubs form a module for multisensory integration on top of the hierarchy of cortical networks
-
doi:10.3389/neuro.11.001.2010
-
Zamora-Lopez G, Zhou C, Kurths J. 2010 Cortical hubs form a module for multisensory integration on top of the hierarchy of cortical networks. Front. Neuroinform. 4, 1. (doi:10.3389/neuro.11.001.2010)
-
(2010)
Front. Neuroinform.
, vol.4
, pp. 1
-
-
Zamora-Lopez, G.1
Zhou, C.2
Kurths, J.3
|