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Volumn 89, Issue 1, 2014, Pages

Critical phenomena and noise-induced phase transitions in neuronal networks

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; BIOLOGICAL MODEL; BRAIN; COMPUTER SIMULATION; HUMAN; NERVE CELL; NERVE CELL NETWORK; NERVE CELL PLASTICITY; PHASE TRANSITION; PHYSIOLOGY; SIGNAL NOISE RATIO; STATISTICAL MODEL; SYNAPTIC TRANSMISSION;

EID: 84894537410     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.012701     Document Type: Article
Times cited : (31)

References (80)
  • 2
    • 33646890893 scopus 로고    scopus 로고
    • 2a, 301 () 1745-2473 10.1038/nphys30; 2b, Nat. Phys. 6, 744 (2010). 1745-2473 10.1038/nphys1803
    • D. R. Chialvo, Nat. Phys. 2, 301 (2006) 1745-2473 10.1038/nphys30; 2b D. R. Chialvo, Nat. Phys. 6, 744 (2010). 1745-2473 10.1038/nphys1803
    • (2006) Nat. Phys. , vol.2
    • Chialvo, D.R.1    Chialvo, D.R.2
  • 5
    • 0021927137 scopus 로고
    • A theoretical model of phase transitions in human hand movements
    • DOI 10.1007/BF00336922
    • H. Haken, J. A. S. Kelso, and H. Bunz, Biol. Cybern. 51, 347 (1985). BICYAF 0340-1200 10.1007/BF00336922 (Pubitemid 15135510)
    • (1985) Biological Cybernetics , vol.51 , Issue.5 , pp. 347-356
    • Haken, H.1    Kelso, J.A.S.2    Bunz, H.3
  • 6
    • 0002935861 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(86)90359-2
    • J. A. Kelso, J. Scholz, and G. Schöner, Phys. Lett. A 118, 279 (1986). PYLAAG 0375-9601 10.1016/0375-9601(86)90359-2
    • (1986) Phys. Lett. A , vol.118 , pp. 279
    • Kelso, J.A.1    Scholz, J.2    Schöner, G.3
  • 8
    • 33750436571 scopus 로고    scopus 로고
    • Percolation in living neural networks
    • DOI 10.1103/PhysRevLett.97.188102
    • I. Breskin, J. Soriano, E. Moses, and T. Tlusty, Phys. Rev. Lett. 97, 188102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.188102 (Pubitemid 44658279)
    • (2006) Physical Review Letters , vol.97 , Issue.18 , pp. 188102
    • Breskin, I.1    Soriano, J.2    Moses, E.3    Tlusty, T.4
  • 12
    • 0000303940 scopus 로고    scopus 로고
    • IJBEE4 0218-1274 10.1142/S0218127400000840
    • E. M. Izhikevich, Int. J. Bif. and Chaos 10, 1171 (2000). IJBEE4 0218-1274 10.1142/S0218127400000840
    • (2000) Int. J. Bif. and Chaos , vol.10 , pp. 1171
    • Izhikevich, E.M.1
  • 13
    • 0030947941 scopus 로고    scopus 로고
    • 1460-2199 10.1093/cercor/7.3.237
    • D. J. Amit and N. Brunel, Cereb. Cortex 7, 237 (1997). 1460-2199 10.1093/cercor/7.3.237
    • (1997) Cereb. Cortex , vol.7 , pp. 237
    • Amit, D.J.1    Brunel, N.2
  • 14
    • 0033210816 scopus 로고    scopus 로고
    • NEUCEB 0899-7667 10.1162/089976699300016179
    • N. Brunel and V. Hakim, Neural Comput. 11, 1621 (1999). NEUCEB 0899-7667 10.1162/089976699300016179
    • (1999) Neural Comput. , vol.11 , pp. 1621
    • Brunel, N.1    Hakim, V.2
  • 15
    • 0034006515 scopus 로고    scopus 로고
    • Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons
    • DOI 10.1023/A:1008925309027
    • N. Brunel, J. Comput. Neurosci. 8, 183 (2000). JCNEFR 0929-5313 10.1023/A:1008925309027 (Pubitemid 30219050)
    • (2000) Journal of Computational Neuroscience , vol.8 , Issue.3 , pp. 183-208
    • Brunel, N.1
  • 16
  • 19
    • 41549102418 scopus 로고    scopus 로고
    • CHAOEH 1054-1500 10.1063/1.2779858
    • N. Brunel and V. Hakim, Chaos 18, 015113 (2008). CHAOEH 1054-1500 10.1063/1.2779858
    • (2008) Chaos , vol.18 , pp. 015113
    • Brunel, N.1    Hakim, V.2
  • 25
    • 33847236188 scopus 로고    scopus 로고
    • TNSCDR 0166-2236 10.1016/j.tins.2007.01.005
    • D. Plenz and T. C. Thiagarajan, Trends Neurosci. 30, 101 (2007). TNSCDR 0166-2236 10.1016/j.tins.2007.01.005
    • (2007) Trends Neurosci. , vol.30 , pp. 101
    • Plenz, D.1    Thiagarajan, T.C.2
  • 27
    • 0348048773 scopus 로고    scopus 로고
    • Neocortical seizures: Initiation, development and cessation
    • DOI 10.1016/j.neuroscience.2003.08.051
    • I. Timofeev and M. Steriade, Neurosci. 123, 299 (2004). NRSCDN 0306-4522 10.1016/j.neuroscience.2003.08.051 (Pubitemid 38032911)
    • (2004) Neuroscience , vol.123 , Issue.2 , pp. 299-336
    • Timofeev, I.1    Steriade, M.2
  • 28
    • 0022974981 scopus 로고
    • Hippocampal sharp waves: Their origin and significance
    • DOI 10.1016/0006-8993(86)91483-6
    • G. Buzsáki, Brain Res. 398, 242 (1986). 10.1016/0006-8993(86) 91483-6 (Pubitemid 17210167)
    • (1986) Brain Research , vol.398 , Issue.2 , pp. 242-252
    • Buzsaki, G.1
  • 30
    • 0029909130 scopus 로고    scopus 로고
    • Control of spatiotemporal coherence of a thalamic oscillation by corticothalamic feedback
    • DOI 10.1126/science.274.5288.771
    • D. Contreras, A. Destexhe, T. J. Sejnowski, and M. Steriade, Science 274, 771 (1996). SCIEAS 0036-8075 10.1126/science.274.5288.771 (Pubitemid 26398254)
    • (1996) Science , vol.274 , Issue.5288 , pp. 771-774
    • Contreras, D.1    Destexhe, A.2    Sejnowski, T.J.3    Steriade, M.4
  • 33
    • 0019405994 scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(81)84782-0
    • C. Morris and H. Lecar, Biophys. J. 35, 193 (1981). BIOJAU 0006-3495 10.1016/S0006-3495(81)84782-0
    • (1981) Biophys. J. , vol.35 , pp. 193
    • Morris, C.1    Lecar, H.2
  • 34
    • 0036013593 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.74.47
    • R. Albert and A. L. Barabasi, Rev. Mod. Phys. 74, 47 (2002). RMPHAT 0034-6861 10.1103/RevModPhys.74.47
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47
    • Albert, R.1    Barabasi, A.L.2
  • 35
    • 0036610173 scopus 로고    scopus 로고
    • Evolution of networks
    • DOI 10.1080/00018730110112519
    • S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002). ADPHAH 0001-8732 10.1080/00018730110112519 (Pubitemid 34759032)
    • (2002) Advances in Physics , vol.51 , Issue.4 , pp. 1079-1187
    • Dorogovtsev, S.N.1    Mendes, J.F.F.2
  • 36
    • 0038718854 scopus 로고    scopus 로고
    • SIREAD 0036-1445 10.1137/S003614450342480
    • M. E. J. Newman, SIAM Review 45, 167 (2003). SIREAD 0036-1445 10.1137/S003614450342480
    • (2003) SIAM Review , vol.45 , pp. 167
    • Newman, M.E.J.1
  • 37
    • 4444318641 scopus 로고    scopus 로고
    • Organization, development and function of complex brain networks
    • DOI 10.1016/j.tics.2004.07.008, PII S1364661304001901
    • O. Sporns, D. R. Chialvo, M. Kaiser, and C. C. Hilgetag, Trends Cogn. Sci. 8, 418 (2004). 10.1016/j.tics.2004.07.008 (Pubitemid 39179905)
    • (2004) Trends in Cognitive Sciences , vol.8 , Issue.9 , pp. 418-425
    • Sporns, O.1    Chialvo, D.R.2    Kaiser, M.3    Hilgetag, C.C.4
  • 38
    • 0034159903 scopus 로고    scopus 로고
    • Channel noise in neurons
    • DOI 10.1016/S0166-2236(99)01521-0, PII S0166223699015210
    • J. A. White, J. T. Rubinstein, and A. R. Kay, Trends Neurosci. 23, 131 (2000). TNSCDR 0166-2236 10.1016/S0166-2236(99)01521-0 (Pubitemid 30110629)
    • (2000) Trends in Neurosciences , vol.23 , Issue.3 , pp. 131-137
    • White, J.A.1    Rubinstein, J.T.2    Kay, A.R.3
  • 39
    • 1142283165 scopus 로고    scopus 로고
    • Effects of noise in excitable systems
    • DOI 10.1016/j.physrep.2003.10.015, PII S0370157303004228
    • B. Lindner, J. Garcia-Ojalvo, A. Neiman, and L. Schimansky-Geier, Phys. Rep. 392, 321 (2004). PRPLCM 0370-1573 10.1016/j.physrep.2003.10.015 (Pubitemid 38231071)
    • (2004) Physics Reports , vol.392 , Issue.6 , pp. 321-424
    • Lindner, B.1    Garcia-Ojalvo, J.2    Neiman, A.3    Schimansky-Geier, L.4
  • 43
    • 84875852570 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.87.032717
    • D. Holstein, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E 87, 032717 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.032717
    • (2013) Phys. Rev. e , vol.87 , pp. 032717
    • Holstein, D.1    Goltsev, A.V.2    Mendes, J.F.F.3
  • 46
    • 4043180515 scopus 로고    scopus 로고
    • First-spike latency of auditory neurons revisited
    • DOI 10.1016/j.conb.2004.07.002, PII S0959438804000984
    • P. Heil, Curr. Opin. Neurobiol. 14, 461 (2004). COPUEN 0959-4388 10.1016/j.conb.2004.07.002 (Pubitemid 39078494)
    • (2004) Current Opinion in Neurobiology , vol.14 , Issue.4 , pp. 461-467
    • Heil, P.1
  • 47
    • 0037213466 scopus 로고    scopus 로고
    • 1460-2199 10.1093/cercor/13.1.25
    • H. A. Swadlow, Cerebral Cortex 13, 25 (2003). 1460-2199 10.1093/cercor/13.1.25
    • (2003) Cerebral Cortex , vol.13 , pp. 25
    • Swadlow, H.A.1
  • 48
    • 9244257826 scopus 로고    scopus 로고
    • Chronometric readout from a memory trace: Gamma-frequency field stimulation recruits timed recurrent activity in the rat CA3 network
    • DOI 10.1113/jphysiol.2004.066639
    • S. Fujisawa, N. Matsuki, and Y. Ikegaya, J. Physiol. (Oxford, UK) 561, 123 (2004). JPHYA7 0022-3751 10.1113/jphysiol.2004.066639 (Pubitemid 39549470)
    • (2004) Journal of Physiology , vol.561 , Issue.1 , pp. 123-131
    • Fujisawa, S.1    Matsuki, N.2    Ikegaya, Y.3
  • 49
    • 28044432524 scopus 로고    scopus 로고
    • A-type and T-type currents interact to produce a novel spike latency-voltage relationship in cerebellar stellate cells
    • DOI 10.1523/JNEUROSCI.3436-05.2005
    • M. L. Molineux, F. R. Fernandez, W. H. Mehaffey, and R. W. Turner, J. Neurosci. 25, 10863 (2005). JNRSDS 0270-6474 10.1523/JNEUROSCI.3436-05.2005 (Pubitemid 41692616)
    • (2005) Journal of Neuroscience , vol.25 , Issue.47 , pp. 10863-10873
    • Molineux, M.L.1    Fernandez, F.R.2    Mehaffey, W.H.3    Turner, R.W.4
  • 51
    • 0015260274 scopus 로고
    • 52a, 1 () BIOJAU 0006-3495 10.1016/S0006-3495(72)86068-5; 51b, Kybernetik 13, 55 (1973). 10.1007/BF00288786
    • H. R. Wilson and J. D. Cowan, Biophys. J. 12, 1 (1972) BIOJAU 0006-3495 10.1016/S0006-3495(72)86068-5; 51b H. R. Wilson and J. D. Cowan, Kybernetik 13, 55 (1973). 10.1007/BF00288786
    • (1972) Biophys. J. , vol.12
    • Wilson, H.R.1    Cowan, J.D.2    Wilson, H.R.3    Cowan, J.D.4
  • 57
    • 84894587772 scopus 로고    scopus 로고
    • 57 We used the software presented in The tail of the avalanche size distribution P (s) follows a power law with the exponent z = 1.50 for values greater than s min = 1767 with the log-likelihood L = - 231.4, the Kolmogorov-Smirnov statistic D = 0.069, p = 0.88, and with the finite-size correction. This value of s min minimizes D
    • We used the software presented in http://tuvalu.santafe.edu/~aaronc/ powerlaws/. The tail of the avalanche size distribution P (s) follows a power law with the exponent z = 1.50 for values greater than s min = 1767 with the log-likelihood L =-231.4, the Kolmogorov-Smirnov statistic D = 0.069, p = 0.88, and with the finite-size correction. This value of s min minimizes D.
  • 59
    • 0035826138 scopus 로고    scopus 로고
    • Crackling noise
    • DOI 10.1038/35065675
    • J. P. Sethna, K. Dahmen, and C. R. Myers, Nature (London) 410, 242 (2001). NATUAS 0028-0836 10.1038/35065675 (Pubitemid 32218699)
    • (2001) Nature , vol.410 , Issue.6825 , pp. 242-250
    • Sethna, J.P.1    Dahmen, K.A.2    Myers, C.R.3
  • 61
    • 33144463206 scopus 로고    scopus 로고
    • K-core organization of complex networks
    • DOI 10.1103/PhysRevLett.96.040601
    • S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. 96, 040601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.040601 (Pubitemid 43270863)
    • (2006) Physical Review Letters , vol.96 , Issue.4 , pp. 040601
    • Dorogovtsev, S.N.1    Goltsev, A.V.2    Mendes, J.F.F.3
  • 63
    • 84894541434 scopus 로고    scopus 로고
    • (private communication)
    • J. Soriano and E. Moses (private communication).
    • Soriano, J.1    Moses, E.2
  • 66
    • 84255196636 scopus 로고
    • FEROA8 0015-0193 10.1080/00150198708227908
    • K. Binder, Ferroelectrics 73, 43 (1987). FEROA8 0015-0193 10.1080/00150198708227908
    • (1987) Ferroelectrics , vol.73 , pp. 43
    • Binder, K.1
  • 67
    • 33748709636 scopus 로고    scopus 로고
    • Does the 1/f frequency scaling of brain signals reflect self-organized critical states?
    • DOI 10.1103/PhysRevLett.97.118102
    • C. Bédard, H. Kröger, and A. Destexhe, Phys. Rev. Lett. 97, 118102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.118102 (Pubitemid 44394828)
    • (2006) Physical Review Letters , vol.97 , Issue.11 , pp. 118102
    • Bedard, C.1    Kroger, H.2    Destexhe, A.3
  • 68
    • 0003432181 scopus 로고    scopus 로고
    • (Oxford University Press, Oxford, UK)
    • P. Bak, How Nature Works (Oxford University Press, Oxford, UK, 1997).
    • (1997) How Nature Works
    • Bak, P.1
  • 70
    • 0001367227 scopus 로고
    • 1063-651X 10.1103/PhysRevE.50.3249
    • W.-J. Rappel and S. H. Strogatz, Phys. Rev. E 50, 3249 (1994). 1063-651X 10.1103/PhysRevE.50.3249
    • (1994) Phys. Rev. e , vol.50 , pp. 3249
    • Rappel, W.-J.1    Strogatz, S.H.2
  • 72
    • 0000162023 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.55.868
    • A. Longtin, Phys. Rev. E 55, 868 (1997). 1063-651X 10.1103/PhysRevE.55. 868
    • (1997) Phys. Rev. e , vol.55 , pp. 868
    • Longtin, A.1
  • 74
    • 0000918668 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.65.1701
    • P. C. Matthews and S. H. Strogatz, Phys. Rev. Lett. 65, 1701 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.65.1701
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1701
    • Matthews, P.C.1    Strogatz, S.H.2
  • 77
    • 0031060037 scopus 로고    scopus 로고
    • Human cortical oscillations: A neuromagnetic view through the skull
    • DOI 10.1016/S0166-2236(96)10065-5, PII S0166223696100655
    • R. Hari and R. Salmelin, Trends Neurosci. 20, 44 (1997). TNSCDR 0166-2236 10.1016/S0166-2236(96)10065-5 (Pubitemid 26421232)
    • (1997) Trends in Neurosciences , vol.20 , Issue.1 , pp. 44-49
    • Hari, R.1    Salmelin, R.2
  • 78
    • 0031039762 scopus 로고    scopus 로고
    • Evidence for reactive magnetic 10-Hz rhythm in the human auditory cortex
    • DOI 10.1016/S0304-3940(97)13361-4, PII S0304394097133614
    • L. Lehtel, R. Salmelin, and R. Hari, Neurosci. Lett. 222, 111 (1997). NELED5 0304-3940 10.1016/S0304-3940(97)13361-4 (Pubitemid 27077322)
    • (1997) Neuroscience Letters , vol.222 , Issue.2 , pp. 111-114
    • Lehtela, L.1    Salmelin, R.2    Hari, R.3


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