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Volumn 178, Issue 3-4, 2003, Pages 190-218

Two-bump solutions of Amari-type models of neuronal pattern formation

Author keywords

Integro differential equation; Neuroscience; Pattern formation; Short term memory

Indexed keywords

INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NEURAL NETWORKS;

EID: 0037446124     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00013-7     Document Type: Article
Times cited : (69)

References (32)
  • 1
    • 0017713690 scopus 로고
    • Dynamics of pattern formation in lateral-inhibition type neural fields
    • Amari S., Dynamics of pattern formation in lateral-inhibition type neural fields. Biol. Cybern. 27:1977;77-87.
    • (1977) Biol. Cybern. , vol.27 , pp. 77-87
    • Amari, S.1
  • 2
    • 0033929121 scopus 로고    scopus 로고
    • Task-specific neural activity in the primate prefrontal cortex
    • Asaad W.F., Rainer G., Miller E.K., Task-specific neural activity in the primate prefrontal cortex. J. Neurophysiol. 84:2000;451-459.
    • (2000) J. Neurophysiol. , vol.84 , pp. 451-459
    • Asaad, W.F.1    Rainer, G.2    Miller, E.K.3
  • 3
    • 0031020135 scopus 로고    scopus 로고
    • Orientation selectivity and the arrangement of horizontal connections in tree shrew striate cortex
    • Bosking W.H., Zhang Y., Schofield B., Fitzpatrick D., Orientation selectivity and the arrangement of horizontal connections in tree shrew striate cortex. J. Neurosci. 17:1997;2112-2127.
    • (1997) J. Neurosci. , vol.17 , pp. 2112-2127
    • Bosking, W.H.1    Zhang, Y.2    Schofield, B.3    Fitzpatrick, D.4
  • 4
    • 0035400302 scopus 로고    scopus 로고
    • Traveling fronts and wave propagation failure in an inhomogeneous neural network
    • Bressloff P.C., Traveling fronts and wave propagation failure in an inhomogeneous neural network. Physica D. 155:2001;83-100.
    • (2001) Physica D , vol.155 , pp. 83-100
    • Bressloff, P.C.1
  • 5
    • 0037135809 scopus 로고    scopus 로고
    • Bloch waves, periodic feature maps, and cortical pattern formation
    • Bressloff P.C., Bloch waves, periodic feature maps, and cortical pattern formation. Phys. Rev. Lett. 89:2002;088101.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 088101
    • Bressloff, P.C.1
  • 6
    • 0035967087 scopus 로고    scopus 로고
    • Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex
    • Bressloff P.C., Cowan J.D., Golubitsky M., Thomas P.J., Wiener M., Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex. Phil. Trans. Roy. Soc. B. 40:2001;299-330.
    • (2001) Phil. Trans. Roy. Soc. B , vol.40 , pp. 299-330
    • Bressloff, P.C.1    Cowan, J.D.2    Golubitsky, M.3    Thomas, P.J.4    Wiener, M.5
  • 8
    • 0033811553 scopus 로고    scopus 로고
    • Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model
    • Compte A., Brunel N., Goldman-Rakic P., Wang X.-J., Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model. Cereb. Cortex. 10:2000;910-923.
    • (2000) Cereb. Cortex , vol.10 , pp. 910-923
    • Compte, A.1    Brunel, N.2    Goldman-Rakic, P.3    Wang, X.-J.4
  • 9
    • 0037446036 scopus 로고    scopus 로고
    • Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
    • S. Coombes, G.L. Lord, M.R. Owen, Waves and bumps in neuronal networks with axo-dendritic synaptic interactions, Physica D 178 (2003) 219-241.
    • (2003) Physica D , vol.178 , pp. 219-241
    • Coombes, S.1    Lord, G.L.2    Owen, M.R.3
  • 11
    • 0001104658 scopus 로고    scopus 로고
    • Neural networks as spatio-temporal pattern forming systems
    • Ermentrout G.B., Neural networks as spatio-temporal pattern forming systems. Rep. Prog. Phys. 61(4):1998;353-430.
    • (1998) Rep. Prog. Phys. , vol.61 , Issue.4 , pp. 353-430
    • Ermentrout, G.B.1
  • 13
    • 0343628791 scopus 로고    scopus 로고
    • Layer 3 patchy recurrent connections may determine the spatial organization of sustained activity in the primate frontal cortex
    • Gutkin B., Ermentrout G.B., O'Sullivan J., Layer 3 patchy recurrent connections may determine the spatial organization of sustained activity in the primate frontal cortex. Neurocomputing. 32-33:2000;391-400.
    • (2000) Neurocomputing , vol.32-33 , pp. 391-400
    • Gutkin, B.1    Ermentrout, G.B.2    O'Sullivan, J.3
  • 14
    • 0035687166 scopus 로고    scopus 로고
    • Turning on and off with excitation: The role of spike-timing asynchrony and synchrony in sustained neural activity
    • Gutkin B.S., Laing C.R., Chow C.C., Ermentrout G.B., Colby C.R., Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. J. Comput. Neurosci. 11(2):2001;121-134.
    • (2001) J. Comput. Neurosci. , vol.11 , Issue.2 , pp. 121-134
    • Gutkin, B.S.1    Laing, C.R.2    Chow, C.C.3    Ermentrout, G.B.4    Colby, C.R.5
  • 15
    • 0002433285 scopus 로고    scopus 로고
    • Modeling feature selectivity in local cortical circuits
    • C. Koch, I. Segev (Eds.), MIT Press, Cambridge, MA
    • D. Hansel, H. Sompolinsky, Modeling feature selectivity in local cortical circuits, in: C. Koch, I. Segev (Eds.), Methods in Neuronal Modeling, 2nd ed., MIT Press, Cambridge, MA, 1998.
    • (1998) Methods in Neuronal Modeling, 2nd Ed.
    • Hansel, D.1    Sompolinsky, H.2
  • 16
    • 0018649243 scopus 로고
    • Existence and stability of local excitations in homogeneous neural fields
    • Kishimoto K., Amari S., Existence and stability of local excitations in homogeneous neural fields. J. Math. Biol. 7:1979;303-318.
    • (1979) J. Math. Biol. , vol.7 , pp. 303-318
    • Kishimoto, K.1    Amari, S.2
  • 17
    • 0035403248 scopus 로고    scopus 로고
    • Stationary bumps in networks of spiking neurons
    • Laing C.R., Chow C.C., Stationary bumps in networks of spiking neurons. Neural Comp. 13(7):2001;1473-1494.
    • (2001) Neural Comp. , vol.13 , Issue.7 , pp. 1473-1494
    • Laing, C.R.1    Chow, C.C.2
  • 19
    • 0027521697 scopus 로고
    • Topography of pyramidal neuron intrinsic connections in macaque monkey prefrontal cortex (areas 9 and 46)
    • Levitt J.B., Lewis D.A., Yoshioka T., Lund J.S., Topography of pyramidal neuron intrinsic connections in macaque monkey prefrontal cortex (areas 9 and 46). J. Comp. Neurol. 338:1993;360-376.
    • (1993) J. Comp. Neurol. , vol.338 , pp. 360-376
    • Levitt, J.B.1    Lewis, D.A.2    Yoshioka, T.3    Lund, J.S.4
  • 20
    • 0029363692 scopus 로고
    • The functional architecture of the prefrontal cortex and schizophrenia
    • Lewis D.A., Anderson S.A., The functional architecture of the prefrontal cortex and schizophrenia. Psychol. Med. 25(5):1995;887-894.
    • (1995) Psychol. Med. , vol.25 , Issue.5 , pp. 887-894
    • Lewis, D.A.1    Anderson, S.A.2
  • 21
    • 0027425233 scopus 로고
    • Relationship between intrinsic connections and functional architecture revealed by optical imaging and in vivo targeted biocytin injections in primate striate cortex
    • Malach R., Amir Y., Harel M., Grinvald A., Relationship between intrinsic connections and functional architecture revealed by optical imaging and in vivo targeted biocytin injections in primate striate cortex. Proc. Natl. Acad. Sci. USA. 90:1993;10469-10473.
    • (1993) Proc. Natl. Acad. Sci. USA , vol.90 , pp. 10469-10473
    • Malach, R.1    Amir, Y.2    Harel, M.3    Grinvald, A.4
  • 22
    • 0029783329 scopus 로고    scopus 로고
    • Neural mechanisms of visual working memory in prefrontal cortex of the macaque
    • Miller E.K., Erickson C.A., Desimone R., Neural mechanisms of visual working memory in prefrontal cortex of the macaque. J. Neurosci. 16(16):1996;5154-5167.
    • (1996) J. Neurosci. , vol.16 , Issue.16 , pp. 5154-5167
    • Miller, E.K.1    Erickson, C.A.2    Desimone, R.3
  • 23
    • 0033667258 scopus 로고    scopus 로고
    • Computational approaches to sensorimotor transformations
    • Pouget A., Snyder L.H., Computational approaches to sensorimotor transformations. Nat. Neurosci. 3:2000;1192-1198.
    • (2000) Nat. Neurosci. , vol.3 , pp. 1192-1198
    • Pouget, A.1    Snyder, L.H.2
  • 24
    • 0032424857 scopus 로고    scopus 로고
    • Memory fields of neurons in the primate prefrontal cortex
    • Rainer G., Asaad W.F., Miller E.K., Memory fields of neurons in the primate prefrontal cortex. Proc. Natl. Acad. Sci. USA. 95:1998;15008-15013.
    • (1998) Proc. Natl. Acad. Sci. USA , vol.95 , pp. 15008-15013
    • Rainer, G.1    Asaad, W.F.2    Miller, E.K.3
  • 25
    • 0036143628 scopus 로고    scopus 로고
    • Relationships of local inhibitory and excitatory circuits to orientation preference maps in ferret visual cortex
    • Roerig B., Chen B., Relationships of local inhibitory and excitatory circuits to orientation preference maps in ferret visual cortex. Cereb. Cortex. 12:2002;187-198.
    • (2002) Cereb. Cortex , vol.12 , pp. 187-198
    • Roerig, B.1    Chen, B.2
  • 26
    • 0009521938 scopus 로고    scopus 로고
    • Self-organizing continuous attractor networks and path integration: One-dimensional models of head direction cells
    • Stringer S.M., Trappenberg T.P., Rolls E.T., de Araujo I.E.T., Self-organizing continuous attractor networks and path integration: one-dimensional models of head direction cells. Network-Comp. Neural. 13:2002;217-242.
    • (2002) Network-Comp. Neural , vol.13 , pp. 217-242
    • Stringer, S.M.1    Trappenberg, T.P.2    Rolls, E.T.3    De Araujo, I.E.T.4
  • 27
    • 0000649277 scopus 로고    scopus 로고
    • Neural bubble dynamics in two dimensions: Foundations
    • Taylor J.G., Neural bubble dynamics in two dimensions: foundations. Biol. Cybern. 80:1999;393-409.
    • (1999) Biol. Cybern. , vol.80 , pp. 393-409
    • Taylor, J.G.1
  • 28
    • 0034910549 scopus 로고    scopus 로고
    • The dynamics of embodiment: A field theory of infant perseverative reaching
    • E. Thelen, G. Schöner, C. Scheier, L.B. Smith, The dynamics of embodiment: a field theory of infant perseverative reaching, Behav. Brain Sci. 24 (1) (2000). http://www.cogsci.soton.ac.uk/bbs/Archive/bbs.thelen.html.
    • (2000) Behav. Brain Sci. , vol.24 , Issue.1
    • Thelen, E.1    Schöner, G.2    Scheier, C.3    Smith, L.B.4
  • 29
    • 0035426435 scopus 로고    scopus 로고
    • Synaptic reverberation underlying mnemonic persistent activity
    • Wang X.J., Synaptic reverberation underlying mnemonic persistent activity. Trends Neurosci. 24(8):2001;455-463.
    • (2001) Trends Neurosci. , vol.24 , Issue.8 , pp. 455-463
    • Wang, X.J.1
  • 30
    • 0035458994 scopus 로고    scopus 로고
    • Circular stationary solutions in two-dimensional neural fields
    • Werner H., Richter T., Circular stationary solutions in two-dimensional neural fields. Biol. Cybern. 85:2001;117-211.
    • (2001) Biol. Cybern. , vol.85 , pp. 117-211
    • Werner, H.1    Richter, T.2
  • 31
    • 0015868589 scopus 로고
    • A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
    • Wilson H.R., Cowan J.D., A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetic. 13:1973;55-80.
    • (1973) Kybernetic , vol.13 , pp. 55-80
    • Wilson, H.R.1    Cowan, J.D.2
  • 32
    • 0029961607 scopus 로고    scopus 로고
    • Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: A theory
    • Zhang K., Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory. J. Neurosci. 16:1996;2112-2126.
    • (1996) J. Neurosci. , vol.16 , pp. 2112-2126
    • Zhang, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.