메뉴 건너뛰기




Volumn 19, Issue 11, 2007, Pages 3011-3050

Phase transition and hysteresis in an ensemble of stochastic spiking neurons

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; ARTICLE; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL MODEL; HUMAN; NERVE CELL; NONLINEAR SYSTEM; PHASE TRANSITION; PHYSIOLOGY; STATISTICS; TIME;

EID: 36248947228     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2007.19.11.3011     Document Type: Article
Times cited : (7)

References (48)
  • 3
    • 11144312375 scopus 로고    scopus 로고
    • Two-cycles in spin-systems: Sequential versus synchronous updating in multistate ising-type ferromagnets
    • Bolle, D., & Blanco, J. B. (2004). Two-cycles in spin-systems: Sequential versus synchronous updating in multistate ising-type ferromagnets. European Physical Journal B, 42, 397-406.
    • (2004) European Physical Journal B , vol.42 , pp. 397-406
    • Bolle, D.1    Blanco, J.B.2
  • 4
    • 0033210816 scopus 로고    scopus 로고
    • Fast global oscillations in networks of integrate-and-fire neurons with low firing rates
    • Brunel, N., & Hakim, V. (1999). Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Computation, 11, 1621-1671.
    • (1999) Neural Computation , vol.11 , pp. 1621-1671
    • Brunel, N.1    Hakim, V.2
  • 5
    • 33646397012 scopus 로고    scopus 로고
    • How noise affects the synchronization properties of recurrent networks of inhibitory neurons
    • Brunel, N., & Hansel, D. (2006). How noise affects the synchronization properties of recurrent networks of inhibitory neurons. Neural Computation, 18, 1066-1110.
    • (2006) Neural Computation , vol.18 , pp. 1066-1110
    • Brunel, N.1    Hansel, D.2
  • 6
    • 0024165008 scopus 로고
    • Synchronous rhythmic flashing of fireflies. II
    • Buck, J. (1988). Synchronous rhythmic flashing of fireflies. II. Quarterly Review of Biology, 63, 265-289.
    • (1988) Quarterly Review of Biology , vol.63 , pp. 265-289
    • Buck, J.1
  • 8
    • 33745712258 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
    • Burkitt, A. N. (2006). A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biological Cybernetics, 95, 1-19.
    • (2006) Biological Cybernetics , vol.95 , pp. 1-19
    • Burkitt, A.N.1
  • 9
    • 0033561841 scopus 로고    scopus 로고
    • Analysis of integrate-and-fire neurons: Synchronization of synaptic input and spike output
    • Burkitt, A. N., & Clark, G. M. (1999). Analysis of integrate-and-fire neurons: Synchronization of synaptic input and spike output. Neural Computation, 11, 871-901.
    • (1999) Neural Computation , vol.11 , pp. 871-901
    • Burkitt, A.N.1    Clark, G.M.2
  • 10
    • 0033208597 scopus 로고    scopus 로고
    • Synchrony and desynchrony in integrate-and-fire oscillators
    • Campbell, S. R., Wang, D. L. L., & Jayaprakash, C. (1999). Synchrony and desynchrony in integrate-and-fire oscillators. Neural Computation, 11, 1595-1619.
    • (1999) Neural Computation , vol.11 , pp. 1595-1619
    • Campbell, S.R.1    Wang, D.L.L.2    Jayaprakash, C.3
  • 11
    • 0039704830 scopus 로고
    • Threshold effects on synchronization of pulse-coupled oscillators
    • Chen, C. C. (1994). Threshold effects on synchronization of pulse-coupled oscillators. Physical Review E, 49, 2668-2672.
    • (1994) Physical Review E , vol.49 , pp. 2668-2672
    • Chen, C.C.1
  • 12
    • 0028802022 scopus 로고
    • The occurrence of synchrony in the North-American firefly photinus-carolinus (coleoptera, lampyridae)
    • Copeland, J., & Moiseff, A. (1995). The occurrence of synchrony in the North-American firefly photinus-carolinus (coleoptera, lampyridae). Journal of Insect Behavior, 8, 381-394.
    • (1995) Journal of Insect Behavior , vol.8 , pp. 381-394
    • Copeland, J.1    Moiseff, A.2
  • 13
    • 0033518170 scopus 로고    scopus 로고
    • Stable propagation of synchronous spiking in cortical neural networks
    • Diesmann, M., Gewaltig, M. O., & Aertsen, A. (1999). Stable propagation of synchronous spiking in cortical neural networks. Nature, 402, 529-533.
    • (1999) Nature , vol.402 , pp. 529-533
    • Diesmann, M.1    Gewaltig, M.O.2    Aertsen, A.3
  • 15
    • 24244469769 scopus 로고    scopus 로고
    • Delay-induced multistable synchronization of biological oscillators
    • Ernst, U., Pawelzik, K., & Geisel, T. (1998). Delay-induced multistable synchronization of biological oscillators. Physical Review E, 57, 2150-2162.
    • (1998) Physical Review E , vol.57 , pp. 2150-2162
    • Ernst, U.1    Pawelzik, K.2    Geisel, T.3
  • 16
    • 0038856032 scopus 로고
    • Information-processing in synchronous neural networks
    • Fontanari, J. F., & Köberle, R. (1988). Information-processing in synchronous neural networks. Journal de Physique, 49, 13-23.
    • (1988) Journal de Physique , vol.49 , pp. 13-23
    • Fontanari, J.F.1    Köberle, R.2
  • 17
    • 0033110047 scopus 로고    scopus 로고
    • Collective behavior of networks with linear (VLSI) integrate-and-fire neurons
    • Fusi, S., & Mattia, M. (1999). Collective behavior of networks with linear (VLSI) integrate-and-fire neurons. Neural Computation, 11, 633-652.
    • (1999) Neural Computation , vol.11 , pp. 633-652
    • Fusi, S.1    Mattia, M.2
  • 18
    • 0002338948 scopus 로고
    • Random walk models for the spike activity of a single neuron
    • Gerstein, G. L., & Mandelbrot, B. (1964). Random walk models for the spike activity of a single neuron. Biophys. J., 4, 41-68.
    • (1964) Biophys. J , vol.4 , pp. 41-68
    • Gerstein, G.L.1    Mandelbrot, B.2
  • 19
    • 0033630628 scopus 로고    scopus 로고
    • Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking
    • Gerstner, W. (2000). Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking. Neural Computation, 12, 43-89.
    • (2000) Neural Computation , vol.12 , pp. 43-89
    • Gerstner, W.1
  • 20
    • 36248934924 scopus 로고    scopus 로고
    • Event modeling of message interchange in stochastic neural ensembles
    • Piscataway, NJ: IEEE Press
    • Gómez, V., Kaltenbrunner, A., & López, V. (2006). Event modeling of message interchange in stochastic neural ensembles. In IJCNN'06 Proceedings (pp. 81-88). Piscataway, NJ: IEEE Press.
    • (2006) IJCNN'06 Proceedings , pp. 81-88
    • Gómez, V.1    Kaltenbrunner, A.2    López, V.3
  • 21
    • 0011890590 scopus 로고
    • Distributed dynamics in neural networks
    • Herz, A. V. M., & Marcus, C. M. (1993). Distributed dynamics in neural networks. Physical Review E, 47, 2155-2161.
    • (1993) Physical Review E , vol.47 , pp. 2155-2161
    • Herz, A.V.M.1    Marcus, C.M.2
  • 22
    • 19544369515 scopus 로고    scopus 로고
    • A scalable synchronization protocol for large scale sensor networks and its applications
    • Hong, Y. W., & Scaglione, A. (2005). A scalable synchronization protocol for large scale sensor networks and its applications. IEEE Journal on Selected Areas in Communications, 23, 1085-1099.
    • (2005) IEEE Journal on Selected Areas in Communications , vol.23 , pp. 1085-1099
    • Hong, Y.W.1    Scaglione, A.2
  • 23
    • 2142773944 scopus 로고    scopus 로고
    • Synfire chains and cortical songs: Temporal modules of cortical activity
    • Ikegaya, Y., Aaron, G., Cossart, R., Aronov, D., Lampl, I., Ferster, D., & Yuste, R. (2004). Synfire chains and cortical songs: Temporal modules of cortical activity. Science, 304, 559-564.
    • (2004) Science , vol.304 , pp. 559-564
    • Ikegaya, Y.1    Aaron, G.2    Cossart, R.3    Aronov, D.4    Lampl, I.5    Ferster, D.6    Yuste, R.7
  • 24
    • 33644898137 scopus 로고    scopus 로고
    • Polychronization: Computation with spikes
    • Izhikevich, E. M. (2006). Polychronization: Computation with spikes. Neural Computation, 18, 245-282.
    • (2006) Neural Computation , vol.18 , pp. 245-282
    • Izhikevich, E.M.1
  • 26
    • 45149135778 scopus 로고
    • Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
    • Kaneko, K. (1990). Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Physica D, 41, 137-172.
    • (1990) Physica D , vol.41 , pp. 137-172
    • Kaneko, K.1
  • 27
    • 0006968786 scopus 로고    scopus 로고
    • Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators
    • Kirk, V., & Stone, E. (1997). Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators. Physics Letters A, 232, 70-76.
    • (1997) Physics Letters A , vol.232 , pp. 70-76
    • Kirk, V.1    Stone, E.2
  • 29
    • 37649032478 scopus 로고    scopus 로고
    • Interspike interval statistics of neurons driven by colored noise
    • Lindner, B. (2004). Interspike interval statistics of neurons driven by colored noise. Physical Review E, 69, 022901.
    • (2004) Physical Review E , vol.69 , pp. 022901
    • Lindner, B.1
  • 30
    • 0242320562 scopus 로고    scopus 로고
    • Noise-stabilized long-distance synchronization in populations of model neurons
    • McMillen, D., & Kopell, N. (2003). Noise-stabilized long-distance synchronization in populations of model neurons. Journal of Computational Neuroscience, 15, 143-157.
    • (2003) Journal of Computational Neuroscience , vol.15 , pp. 143-157
    • McMillen, D.1    Kopell, N.2
  • 31
    • 85035234227 scopus 로고    scopus 로고
    • Firing statistics of a neuron model driven by long-range correlated noise
    • Middleton, J. W., Chacron, M. J., Lindner, B., & Longtin, A. (2003). Firing statistics of a neuron model driven by long-range correlated noise. Physical Review E, 68, 021920.
    • (2003) Physical Review E , vol.68 , pp. 021920
    • Middleton, J.W.1    Chacron, M.J.2    Lindner, B.3    Longtin, A.4
  • 32
  • 33
    • 0039806342 scopus 로고    scopus 로고
    • The sound of many hands clapping-tumultuous applause can transform itself into waves of synchronized clapping
    • Néda, Z., Ravasz, E., Brechet, Y., Vicsek, T., & Barabási, A. L. (2000). The sound of many hands clapping-tumultuous applause can transform itself into waves of synchronized clapping. Nature, 403, 849-850.
    • (2000) Nature , vol.403 , pp. 849-850
    • Néda, Z.1    Ravasz, E.2    Brechet, Y.3    Vicsek, T.4    Barabási, A.L.5
  • 34
    • 41349093319 scopus 로고    scopus 로고
    • Phase transition to frequency entrainment in a long chain of pulse-coupled oscillators
    • Ostborn, P. (2002). Phase transition to frequency entrainment in a long chain of pulse-coupled oscillators. Physical Review E, 66, 016105.
    • (2002) Physical Review E , vol.66 , pp. 016105
    • Ostborn, P.1
  • 35
    • 4644230816 scopus 로고    scopus 로고
    • Phase transitions towards frequency entrainment in large oscillator lattices
    • Östborn, P., Åberg, S., & Ohlén, G. (2003). Phase transitions towards frequency entrainment in large oscillator lattices. Physical Review E, 68, 015004.
    • (2003) Physical Review E , vol.68 , pp. 015004
    • Östborn, P.1    Åberg, S.2    Ohlén, G.3
  • 36
    • 0003913214 scopus 로고
    • New York: Courant Institute of Mathematical Sciences, New York University
    • Peskin, C. (1975). Mathematical aspects of heart physiology. New York: Courant Institute of Mathematical Sciences, New York University.
    • (1975) Mathematical aspects of heart physiology
    • Peskin, C.1
  • 38
    • 0035512228 scopus 로고    scopus 로고
    • Period focusing induced by network feedback in populations of noisy integrate-and-fire neurons
    • Rodríguez, F., Suárez, A., & López, V. (2001). Period focusing induced by network feedback in populations of noisy integrate-and-fire neurons. Neural Computation, 13, 2495-2516.
    • (2001) Neural Computation , vol.13 , pp. 2495-2516
    • Rodríguez, F.1    Suárez, A.2    López, V.3
  • 40
    • 0036717209 scopus 로고    scopus 로고
    • Integrate-and-fire neurons driven by correlated stochastic input
    • Salinas, E., & Sejnowski, T. J. (2002). Integrate-and-fire neurons driven by correlated stochastic input. Neural Computation, 14, 2111-2155.
    • (2002) Neural Computation , vol.14 , pp. 2111-2155
    • Salinas, E.1    Sejnowski, T.J.2
  • 41
    • 0034844437 scopus 로고    scopus 로고
    • Similar nonleaky integrate-and-fire neurons with instantaneous couplings always synchronize
    • Senn, W., & Urbanczik, R. (2000). Similar nonleaky integrate-and-fire neurons with instantaneous couplings always synchronize. SIAM Journal on Applied Mathematics, 61, 1143-1155.
    • (2000) SIAM Journal on Applied Mathematics , vol.61 , pp. 1143-1155
    • Senn, W.1    Urbanczik, R.2
  • 42
    • 84954086574 scopus 로고
    • Some models of neuronal variability
    • Stein, R. B. (1967). Some models of neuronal variability. Biophysical Journal, 7, 37-68.
    • (1967) Biophysical Journal , vol.7 , pp. 37-68
    • Stein, R.B.1
  • 43
    • 0037037944 scopus 로고    scopus 로고
    • Prevalence of unstable attractors in networks of pulse-coupled oscillators
    • Timme, M., Wolf, F., & Geisel, T. (2002). Prevalence of unstable attractors in networks of pulse-coupled oscillators. Physical Review Letters, 89(15), 154105.
    • (2002) Physical Review Letters , vol.89 , Issue.15 , pp. 154105
    • Timme, M.1    Wolf, F.2    Geisel, T.3
  • 44
    • 36248971364 scopus 로고    scopus 로고
    • Tuckwell, H. C. (1988). Introduction to theoretical neurobiology 2. Nonlinear and stochastic theories. Cambridge: Cambridge University Press.
    • Tuckwell, H. C. (1988). Introduction to theoretical neurobiology Vol. 2. Nonlinear and stochastic theories. Cambridge: Cambridge University Press.
  • 45
    • 0000563446 scopus 로고    scopus 로고
    • Partial synchronization in populations of pulse-coupled oscillators
    • van Vreeswijk, C. (1996). Partial synchronization in populations of pulse-coupled oscillators. Physical Review E, 54, 5522-5537.
    • (1996) Physical Review E , vol.54 , pp. 5522-5537
    • van Vreeswijk, C.1
  • 46
    • 0027539738 scopus 로고
    • Self-sustained firing in populations of integrate-and-fire neurons
    • van Vreeswijk, C., & Abbott, L. F. (1993). Self-sustained firing in populations of integrate-and-fire neurons. SIAM Journal on Applied Mathematics, 53, 253-264.
    • (1993) SIAM Journal on Applied Mathematics , vol.53 , pp. 253-264
    • van Vreeswijk, C.1    Abbott, L.F.2
  • 47
    • 0035426435 scopus 로고    scopus 로고
    • Synaptic reverberation underlying mnemonic persistent activity
    • Wang, X. J. (2001). Synaptic reverberation underlying mnemonic persistent activity. Trends in Neurosciences, 24, 455-463.
    • (2001) Trends in Neurosciences , vol.24 , pp. 455-463
    • Wang, X.J.1
  • 48
    • 0014108715 scopus 로고
    • Biological rhythms and the behavior of populations of coupled oscillators
    • Winfree, A. (1967). Biological rhythms and the behavior of populations of coupled oscillators. J. Theoret. Biol., 16, 15-42.
    • (1967) J. Theoret. Biol , vol.16 , pp. 15-42
    • Winfree, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.