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Brunel N, Hansel D (2006) How noise affects the synchronization properties of recurrent networks of inhibitory neurons. Neural Comput 18:1066-110[PubMed]

References and models cited by this paper

References and models that cite this paper

Abbott LF, van Vreeswijk C LF (1993) Asynchronous states in networks of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48:1483-1490 [PubMed]

Abramowitz M, Stegun IA (1972) Tables of Mathematics Functions

Amit DJ, Brunel N (2000) Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cereb Cortex 7:237-52 [PubMed]

Amit DJ, Tsodyks MV (1991) Quantitative study of attractor neural network retrieving at low spike rates I Substrate-spikes, rates, and neuronal gain. Network 2:259-274

Anderson JS, Lampl I, Gillespie DC, Ferster D (2000) The contribution of noise to contrast invariance of orientation tuning in cat visual cortex. Science 290:1968-72 [PubMed]

Bragin A, Jando G, Nadasdy Z, Hetke J, Wise K, Buzsaki G (1995) Gamma (40-100 Hz) oscillation in the hippocampus of the behaving rat. J Neurosci 15:47-60 [PubMed]

Brunel N (2000) Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J Comput Neurosci 8:183-208 [Journal] [PubMed]

   Sparsely connected networks of spiking neurons (Brunel 2000) [Model]

Brunel N, Chance FS, Fourcaud N, Abbott LF (2001) Effects of synaptic noise and filtering on the frequency response of spiking neurons. Phys Rev Lett 86:2186-9 [PubMed]

Brunel N, Hakim V (1999) Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput 11:1621-71 [Journal] [PubMed]

   Fast global oscillations in networks of I&F neurons with low firing rates (Brunel and Hakim 1999) [Model]

Brunel N, Wang XJ (2003) What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance. J Neurophysiol 90:415-30 [Journal] [PubMed]

Buzsaki G, Horvath Z, Urioste R, Hetke J, Wise K (1992) High-frequency network oscillation in the hippocampus. Science 256:1025-7 [PubMed]

Compte A, Constantinidis C, Tegner J, Raghavachari S, Chafee MV, Goldman-Rakic PS, Wang XJ (2003) Temporally irregular mnemonic persistent activity in prefrontal neurons of monkeys during a delayed response task. J Neurophysiol 90:3441-54 [Journal] [PubMed]

Csicsvari J, Hirase H, Czurko A, Mamiya A, Buzsaki G (1999) Oscillatory coupling of hippocampal pyramidal cells and interneurons in the behaving Rat. J Neurosci 19:274-87 [PubMed]

Csicsvari J, Hirase H, Czurko A, Mamiya A, Buzsaki G (1999) Fast network oscillations in the hippocampal CA1 region of the behaving rat. J Neurosci 19:RC20-8 [PubMed]

Destexhe A, Pare D (1999) Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo. J Neurophysiol 81:1531-47 [Journal] [PubMed]

Ermentrout B, Pascal M, Gutkin B (2001) The effects of spike frequency adaptation and negative feedback on the synchronization of neural oscillators. Neural Comput 13:1285-310 [PubMed]

Ermentrout GB, Kopell N (1986) Parabolic bursting in an excitable system coupled with a slow oscillation. Siam J Appl Math 46:233-253

Fourcaud N, Brunel N (2002) Dynamics of the firing probability of noisy integrate-and-fire neurons. Neural Comput 14:2057-110 [PubMed]

Fourcaud-Trocme N, Hansel D, van Vreeswijk C, Brunel N (2003) How spike generation mechanisms determine the neuronal response to fluctuating inputs. J Neurosci 23:11628-40 [PubMed]

Fuhrmann G, Markram H, Tsodyks M (2002) Spike frequency adaptation and neocortical rhythms. J Neurophysiol 88:761-70 [Journal] [PubMed]

Geisler C, Brunel N, Wang XJ (2005) Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges. J Neurophysiol 94:4344-61 [Journal] [PubMed]

Gerstner W, van Hemmen JL, Cowan JD (1996) What matters in neuronal locking? Neural Comput 8:1653-76 [PubMed]

Ginzburg I, Sompolinsky H (1994) Theory of correlations in stochastic neural networks. PHYSICAL REVIEW. E. STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 50:3171-3191 [PubMed]

Golomb D, Hansel D (2000) The number of synaptic inputs and the synchrony of large, sparse neuronal networks. Neural Comput 12:1095-139 [PubMed]

Golomb D, Hansel D, Mato G (2001) Theory of synchrony of neuronal activity. Handbook of biological physics., Gielen S:Moss F, ed.

Golomb D, Hansel D, Shraiman B, Sompolinsky H (1992) Clustering in globally coupled phase oscillators. PHYSICAL REVIEW. A 45:3516-3530 [PubMed]

Golomb D, Rinzel J (1993) Dynamics of globally coupled inhibitory neurons with heterogeneity. PHYSICAL REVIEW. E. STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 48:4810-4814 [PubMed]

Golomb D, Rinzel J (1994) Clustering in globally coupled inhibitory neurons Physica D 72:259-282

Hansel D, Mato G (2001) Existence and stability of persistent states in large neuronal networks. Phys Rev Lett 86:4175-8 [PubMed]

Hansel D, Mato G (2003) Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Neural Comput 15:1-56 [PubMed]

Hansel D, Mato G, Meunier C (1993) Phase dynamics for weakly coupled Hodgkin-Huxley neurons. Europhys Lett 23:367-372

Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comput 7:307-37 [PubMed]

Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. PHYSICAL REVIEW LETTERS 68:718-721 [PubMed]

Hansel D, Sompolinsky H (1996) Chaos and synchrony in a model of a hypercolumn in visual cortex. J Comput Neurosci 3:7-34 [Journal] [PubMed]

Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed]

   Squid axon (Hodgkin, Huxley 1952) (LabAXON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (NEURON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SNNAP) [Model]
   Squid axon (Hodgkin, Huxley 1952) used in (Chen et al 2010) (R language) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SBML, XPP, other) [Model]

Hormuzdi SG, Pais I, LeBeau FE, Towers SK, Rozov A, Buhl EH, Whittington MA, Monyer H (2001) Impaired electrical signaling disrupts gamma frequency oscillations in connexin 36-deficient mice. Neuron 31:487-95 [PubMed]

Kuramoto Y (1984) Chemical oscillations, waves, and turbulence

Lapicque L (1907) Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen 9:620-635 [Journal]

Mato G (2005) Theory of neural synchrony Methods and models in neurophysics, Chow C:Gutkin B:Hansel D:Meunier C:Dalibard J, ed.

McCormick DA, Connors BW, Lighthall JW, Prince DA (1985) Comparative electrophysiology of pyramidal and sparsely spiny stellate neurons of the neocortex. J Neurophysiol 54:782-806 [Journal] [PubMed]

Neltner L, Hansel D, Mato G, Meunier C (2000) Synchrony in heterogeneous networks of spiking neurons. Neural Comput 12:1607-41 [PubMed]

Pfeuty B, Mato G, Golomb D, Hansel D (2003) Electrical synapses and synchrony: the role of intrinsic currents. J Neurosci 23:6280-94 [PubMed]

Pfeuty B, Mato G, Golomb D, Hansel D (2005) The combined effects of inhibitory and electrical synapses in synchrony. Neural Comput 17:633-70 [PubMed]

Ricciardi L (1977) Diffusion Processes and Related Topics in Biology.

Rinzel J, Ermentrout B (1998) Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition, Segev I, Koch C, ed. pp.251

Siapas AG, Wilson MA (1998) Coordinated interactions between hippocampal ripples and cortical spindles during slow-wave sleep. Neuron 21:1123-8 [PubMed]

Softky WR, Koch C (1993) The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. J Neurosci 13:334-50 [PubMed]

Tiesinga PH, Jose JV (2000) Robust gamma oscillations in networks of inhibitory hippocampal interneurons. Network 11:1-23 [PubMed]

Treves A (1993) Mean field analysis of neuronal spike dynamics. Network 4:259-284

Troyer TW, Miller KD (1997) Physiological gain leads to high ISI variability in a simple model of a cortical regular spiking cell. Neural Comput 9:971-83 [PubMed]

Tsodyks M, Mitkov I, Sompolinsky H (1993) Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. PHYSICAL REVIEW LETTERS 71: 1280-1283 [PubMed]

Tuckwell HC (1988) Introduction To Theoretical Neurobiology: Vol 1, Linear Cable Theory And Dendritic Structure

van Vreeswijk C (1996) Partial synchronization in populations of pulsecoupled oscillators. Phys Rev E 54:5522-5537

Van Vreeswijk C, Abbott LF, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J Comput Neurosci 1:313-21 [Journal] [PubMed]

van Vreeswijk C, Hansel D (2001) Patterns of synchrony in neural networks with spike adaptation. Neural Comput 13:959-92 [PubMed]

Wang XJ, Buzsaki G (1996) Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. J Neurosci 16:6402-13 [Journal] [PubMed]

   Gamma oscillations in hippocampal interneuron networks (Wang, Buzsaki 1996) [Model]

White JA, Chow CC, Ritt J, Soto-Trevino C, Kopell N (1998) Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J Comput Neurosci 5:5-16 [Journal] [PubMed]

Kaltenbrunner A, Gomez V, López V (2007) Phase transition and hysteresis in an ensemble of stochastic spiking neurons. Neural Comput 19:3011-50 [PubMed]

Soula H, Chow CC (2007) Stochastic dynamics of a finite-size spiking neural network. Neural Comput 19:3262-92 [PubMed]

(59 refs)