References and models cited by this paper

References and models that cite this paper

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

Abeles M (1991) Corticonics: Neural Circuits of the Cerebral Cortex.

Ben-Yishai R, Hansel D, Sompolinsky H (1997) Traveling waves and the processing of weakly tuned inputs in a cortical network module. J Comput Neurosci 4:57-77 [PubMed]

Bergman H, Feingold A, Nini A, Raz A, Slovin H, Abeles M, Vaadia E (1998) Physiological aspects of information processing in the basal ganglia of normal and parkinsonian primates. Trends Neurosci 21:32-8 [PubMed]

Bressloff PC, Coombes S (2000) Dynamics of strongly-coupled spiking neurons. Neural Comput 12:91-129 [PubMed]

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

Brunel N, Hansel D (2002) How noise affects synchronization in recurrent networks of inhibitory neurons. unpublished manuscript

Bush P, Sejnowski T (1996) Inhibition synchronizes sparsely connected cortical neurons within and between columns in realistic network models. J Comput Neurosci 3:91-110 [PubMed]

Buzsáki G, Chrobak JJ (1995) Temporal structure in spatially organized neuronal ensembles: a role for interneuronal networks. Curr Opin Neurobiol 5:504-10 [PubMed]

Chow CC (1998) Phase-locking in weakly heterogeneous neuronal networks. Physica D 118:343-370

Chow CC, White JA, Ritt J, Kopell N (1998) Frequency control in synchronized networks of inhibitory neurons. J Comput Neurosci 5:407-20 [PubMed]

Crook SM, Ermentrout GB, Bower JM (1998) Spike frequency adaptation affects the synchronization properties of networks of cortical oscillations. Neural Comput 10:837-54 [PubMed]

Ermentrout B (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comput 8:979-1001 [PubMed]

Ermentrout GB (1994) Reduction of conductance based models with slow synapses to neural networks. Neural Computation 6:679-695

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

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

Gerstner W (2000) Population dynamics of spiking neurons: fast transients, asynchronous states, and locking. Neural Comput 12:43-89 [PubMed]

Gerstner W, van Hemmen JL (1993) Coherence and incoherence in a globally coupled ensemble of pulse-emitting units. Phys Rev Lett 71:312-315 [Journal] [PubMed]

Ginzburg I, Sompolinsky H (1994) Theory of correlations in stochastic neural networks. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 50:3171-3191 [PubMed]

Golomb D (1998) Models of neuronal transient synchrony during propagation of activity through neocortical circuitry. J Neurophysiol 79:1-12 [Journal] [PubMed]

Golomb D, Ermentrout GB (1999) Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity. Proc Natl Acad Sci U S A 96:13480-5 [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, Rinzel J (1993) Dynamics of globally coupled inhibitory neurons with heterogeneity. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48:4810-4814 [PubMed]

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

Gupta A, Wang Y, Markram H (2000) Organizing principles for a diversity of GABAergic interneurons and synapses in the neocortex. Science 287:273-8 [PubMed]

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

Hansel D, Mato G, Meunier C (1993) Phase reduction and neural modeling in functional analysis of the brain based on multiple-site recordings. Concepts In Neuroscience 4:192-210

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, Mato G, Meunier C, Neltner L (1998) On numerical simulations of integrate-and-fire neural networks. Neural Comput 10:467-83 [PubMed]

Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68:718-721 [Journal] [PubMed]

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

Hansel D, Sompolinsky H (1998) Modeling feature selectivity in local cortical circuits. Methods in neuronal modeling., Koch C:Segev I, ed. pp.499

Hebb DO (1949) The Organization Of Behavior

Jefferys JG, Traub RD, Whittington MA (1996) Neuronal networks for induced '40 Hz' rhythms. Trends Neurosci 19:202-8 [PubMed]

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

Kuznetsov Y (1998) Elements of applied bifurcation theory (2nd ed.)

Latham PE, Richmond BJ, Nelson PG, Nirenberg S (2000) Intrinsic dynamics in neuronal networks. I. Theory. J Neurophysiol 83:808-27 [Journal] [PubMed]

McCormick DA, Contreras D (2001) On the cellular and network bases of epileptic seizures. Annu Rev Physiol 63:815-46 [Journal] [PubMed]

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

Rall W (1967) Distinguishing theoretical synaptic potentials computed for different soma-dendritic distributions of synaptic input. J Neurophysiol 30:1138-68 [Journal] [PubMed]

Rubin N, Sompolinsky H (1989) Neural networks with low local firing rates. Euro Phys Lett 10:465-470

Shelley MJ, Tao L (2001) Efficient and accurate time-stepping schemes for integrate-and-fire neuronal networks. J Comput Neurosci 11:111-9 [PubMed]

Sik A, Penttonen M, Ylinen A, Buzsáki G (1995) Hippocampal CA1 interneurons: an in vivo intracellular labeling study. J Neurosci 15:6651-65 [PubMed]

Strogatz HS (2000) Nonlinear dynamics and chaos.

Tarczy-Hornoch K, Martin KA, Jack JJ, Stratford KJ (1998) Synaptic interactions between smooth and spiny neurones in layer 4 of cat visual cortex in vitro. J Physiol 508 ( Pt 2):351-63 [PubMed]

Traub RD, Jefferys GR, Whittington MA (1999) Fast Oscillations In Cortical Circuits

Traub RD, Jefferys JG, Whittington MA (1997) Simulation of gamma rhythms in networks of interneurons and pyramidal cells. J Comput Neurosci 4:141-50 [PubMed]

Traub RD, Whittington MA, Colling SB, Buzsáki G, Jefferys JG (1996) Analysis of gamma rhythms in the rat hippocampus in vitro and in vivo. J Physiol 493 ( Pt 2):471-84 [PubMed]

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

Tsodyks MV, Skaggs WE, Sejnowski TJ, McNaughton BL (1997) Paradoxical effects of external modulation of inhibitory interneurons. J Neurosci 17:4382-8 [PubMed]

van Vreeswijk C (2000) Analysis of the asynchronous state in networks of strongly coupled oscillators Phys Rev Lett 84:5110-3 [Journal] [PubMed]

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

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

van Vreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274:1724-6 [PubMed]

van Vreeswijk C, Sompolinsky H (1998) Chaotic balanced state in a model of cortical circuits. Neural Comput 10:1321-71 [PubMed]

Vreeswijk Cv (1996) Partial synchronization in populations of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 54:5522-5537 [PubMed]

Wang XJ (1999) Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory. J Neurosci 19:9587-603 [PubMed]

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

Wang XJ, Rinzel J (1992) Alternating and synchronous rhythms in reciprocally inhibitory model neurons Neural Comput 4:84-97

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

Whittington MA, Traub RD, Jefferys JG (1995) Synchronized oscillations in interneuron networks driven by metabotropic glutamate receptor activation. Nature 373:612-5 [Journal] [PubMed]

Whittington MA, Traub RD, Kopell N, Ermentrout B, Buhl EH (2000) Inhibition-based rhythms: experimental and mathematical observations on network dynamics. Int J Psychophysiol 38:315-36 [PubMed]

Börgers C, Kopell N (2005) Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural Comput 17:557-608 [Journal] [PubMed]

Breen BJ, Gerken WC, Butera RJ (2003) Hybrid integrate-and-fire model of a bursting neuron. Neural Comput 15:2843-62 [Journal] [PubMed]

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

Golomb D, Shedmi A, Curtu R, Ermentrout GB (2006) Persistent synchronized bursting activity in cortical tissues with low magnesium concentration: a modeling study. J Neurophysiol 95:1049-67 [Journal] [PubMed]

Hayut I, Fanselow EE, Connors BW, Golomb D (2011) LTS and FS inhibitory interneurons, short-term synaptic plasticity, and cortical circuit dynamics. PLoS Comput Biol 7:e1002248 [Journal] [PubMed]

Jeong HY, Gutkin B (2007) Synchrony of neuronal oscillations controlled by GABAergic reversal potentials. Neural Comput 19:706-29 [Journal] [PubMed]

Jolivet R, Kobayashi R, Rauch A, Naud R, Shinomoto S, Gerstner W (2008) A benchmark test for a quantitative assessment of simple neuron models. J Neurosci Methods 169:417-24 [Journal] [PubMed]

Jolivet R, Lewis TJ, Gerstner W (2004) Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. J Neurophysiol 92:959-76 [Journal] [PubMed]

Kanamaru T, Sekine M (2005) Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections and their dependences on the forms of interactions. Neural Comput 17:1315-38 [Journal] [PubMed]

Paninski L (2006) The most likely voltage path and large deviations approximations for integrate-and-fire neurons. J Comput Neurosci 21:71-87 [Journal] [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 [Journal] [PubMed]

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

Tiesinga PH, Sejnowski TJ (2004) Rapid temporal modulation of synchrony by competition in cortical interneuron networks. Neural Comput 16:251-75 [Journal] [PubMed]