메뉴 건너뛰기




Volumn 86, Issue 18, 2001, Pages 4175-4178

Existence and stability of persistent states in large neuronal networks

Author keywords

[No Author keywords available]

Indexed keywords

CELLS; MATHEMATICAL MODELS; NEUROLOGY; PHYSIOLOGY;

EID: 0035971275     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.4175     Document Type: Article
Times cited : (112)

References (30)
  • 2
    • 0020118274 scopus 로고
    • J. J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. 79, 2554 (1982); D. J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. Lett. 55, 1530 (1985); D. J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. A 35, 1007 (1987).
    • (1982) Proc. Natl. Acad. Sci. U.S.A. , vol.79 , pp. 2554
    • Hopfield, J.J.1
  • 3
    • 4244216476 scopus 로고
    • J. J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. 79, 2554 (1982); D. J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. Lett. 55, 1530 (1985); D. J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. A 35, 1007 (1987).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 1530
    • Amit, D.J.1    Gutfreund, H.2    Sompolinsky, H.3
  • 4
    • 0020118274 scopus 로고
    • J. J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. 79, 2554 (1982); D. J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. Lett. 55, 1530 (1985); D. J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. A 35, 1007 (1987).
    • (1987) Phys. Rev. A , vol.35 , pp. 1007
    • Amit, D.J.1    Gutfreund, H.2    Sompolinsky, H.3
  • 5
    • 0033711439 scopus 로고    scopus 로고
    • H. S. Seung et al., Neuron 26, 259 (2000).
    • (2000) Neuron , vol.26 , pp. 259
    • Seung, H.S.1
  • 6
    • 0003976981 scopus 로고
    • Raven, New York
    • J. M. Fuster, The Prefrontal Cortex (Raven, New York, 1988); A Compte et al., Cerebral Cortex (to be published); N. Brunel (to be published).
    • (1988) The Prefrontal Cortex
    • Fuster, J.M.1
  • 7
    • 0345286836 scopus 로고    scopus 로고
    • to be published
    • J. M. Fuster, The Prefrontal Cortex (Raven, New York, 1988); A Compte et al., Cerebral Cortex (to be published); N. Brunel (to be published).
    • Cerebral Cortex
    • Compte, A.1
  • 8
    • 0343079070 scopus 로고    scopus 로고
    • to be published
    • J. M. Fuster, The Prefrontal Cortex (Raven, New York, 1988); A Compte et al., Cerebral Cortex (to be published); N. Brunel (to be published).
    • Brunel, N.1
  • 12
    • 0033976838 scopus 로고    scopus 로고
    • N. Rubin and H. Sompolinsky, Europhys. Lett. 10, 465 (1989); P. E. Latham et al., J. Neurophysiol. 83, 808 (2000).
    • (2000) J. Neurophysiol. , vol.83 , pp. 808
    • Latham, P.E.1
  • 13
    • 0029258143 scopus 로고
    • D. Hansel, G. Mato, and C. Meunier, Neural Comput. 7, 307 (1995); C. van Vreeswijk, L. F. Abbott, and G. B. Ermentrout, J. Comput. Neurosci. 1, 313 (1994); W. Gerstner and L. van Hemmen, Phys. Rev. Lett. 76, 1755 (1996); P. C. Bressloff and S. Coombes, Neural Comput. 12, 91 (2000).
    • (1995) Neural Comput. , vol.7 , pp. 307
    • Hansel, D.1    Mato, G.2    Meunier, C.3
  • 14
    • 0028679412 scopus 로고
    • D. Hansel, G. Mato, and C. Meunier, Neural Comput. 7, 307 (1995); C. van Vreeswijk, L. F. Abbott, and G. B. Ermentrout, J. Comput. Neurosci. 1, 313 (1994); W. Gerstner and L. van Hemmen, Phys. Rev. Lett. 76, 1755 (1996); P. C. Bressloff and S. Coombes, Neural Comput. 12, 91 (2000).
    • (1994) J. Comput. Neurosci. , vol.1 , pp. 313
    • Van Vreeswijk, C.1    Abbott, L.F.2    Ermentrout, G.B.3
  • 15
    • 0001654747 scopus 로고    scopus 로고
    • D. Hansel, G. Mato, and C. Meunier, Neural Comput. 7, 307 (1995); C. van Vreeswijk, L. F. Abbott, and G. B. Ermentrout, J. Comput. Neurosci. 1, 313 (1994); W. Gerstner and L. van Hemmen, Phys. Rev. Lett. 76, 1755 (1996); P. C. Bressloff and S. Coombes, Neural Comput. 12, 91 (2000).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1755
    • Gerstner, W.1    Van Hemmen, L.2
  • 16
    • 0033630629 scopus 로고    scopus 로고
    • D. Hansel, G. Mato, and C. Meunier, Neural Comput. 7, 307 (1995); C. van Vreeswijk, L. F. Abbott, and G. B. Ermentrout, J. Comput. Neurosci. 1, 313 (1994); W. Gerstner and L. van Hemmen, Phys. Rev. Lett. 76, 1755 (1996); P. C. Bressloff and S. Coombes, Neural Comput. 12, 91 (2000).
    • (2000) Neural Comput. , vol.12 , pp. 91
    • Bressloff, P.C.1    Coombes, S.2
  • 18
    • 0042795353 scopus 로고    scopus 로고
    • Neuroinformatics
    • edited by F. Moss and S. Gielen Elsevier, New York
    • D. Golomb, D. Hansel, and G. Mato, in "Neuroinformatics", Handbook of Biological Physics Vol. 4, edited by F. Moss and S. Gielen (Elsevier, New York, 2000).
    • (2000) Handbook of Biological Physics , vol.4
    • Golomb, D.1    Hansel, D.2    Mato, G.3
  • 19
    • 0001127901 scopus 로고
    • Paris
    • This quadratic integrate-and-fire model corresponds to the normal form of a conductance-based neuron near a saddle-node bifurcation. It can be derived exactly in the limit of low firing rates. This is in contrast with the (linear) integrate-and-fire model [L. Lapicque, J. Physiol. (Paris) 9, 620 (1907)] which is frequently used. The variable X is adimensional. In a normal form analysis near the bifurcation it can be related to a linear combination of the voltage and gating variables.
    • (1907) J. Physiol. , vol.9 , pp. 620
    • Lapicque, L.1
  • 20
    • 0343079068 scopus 로고    scopus 로고
    • note
    • r = 1.3. τ = 8.33 msec to recover the f-I curve of the Wang-Buszaki model [9].
  • 22
    • 0343079067 scopus 로고    scopus 로고
    • note
    • In the first situation, bistability between two active states can be possible.
  • 25
    • 0343515153 scopus 로고    scopus 로고
    • note
    • min is a lower bound for the allowed firing rate of the AS.
  • 28
    • 0028810185 scopus 로고
    • A. Sik et al., J. Neurosci. 15, 6651 (1995); K. Tarczy-Hornoch et al., J. Physiol. (London) 508.2, 351 (1998); A. Gupta, Y. Wang, and H. Markram, Science 287, 273 (2000).
    • (1995) J. Neurosci. , vol.15 , pp. 6651
    • Sik, A.1
  • 29
    • 0032522644 scopus 로고    scopus 로고
    • London
    • A. Sik et al., J. Neurosci. 15, 6651 (1995); K. Tarczy-Hornoch et al., J. Physiol. (London) 508.2, 351 (1998); A. Gupta, Y. Wang, and H. Markram, Science 287, 273 (2000).
    • (1998) J. Physiol. , vol.5082 , pp. 351
    • Tarczy-Hornoch, K.1
  • 30
    • 0033959161 scopus 로고    scopus 로고
    • A. Sik et al., J. Neurosci. 15, 6651 (1995); K. Tarczy-Hornoch et al., J. Physiol. (London) 508.2, 351 (1998); A. Gupta, Y. Wang, and H. Markram, Science 287, 273 (2000).
    • (2000) Science , vol.287 , pp. 273
    • Gupta, A.1    Wang, Y.2    Markram, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.