Börgers C, Kopell N. (2005). Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural computation. 17 [PubMed]

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References and models cited by this paper

Abbott LF, van Vreeswijk C. (1993). Asynchronous states in networks of pulse-coupled oscillators. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 48 [PubMed]

Acker CD, Kopell N, White JA. (2003). Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. Journal of computational neuroscience. 15 [PubMed]

Brunel N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. Journal of computational neuroscience. 8 [PubMed]

Brunel N. (2000). Phase diagrams of sparsely connected networks of excitatory and inhibitory spiking neurons Neurocomputing. 32

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

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

Börgers C, Kopell N. (2003). Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural computation. 15 [PubMed]

Charpak S, Gähwiler BH, Do KQ, Knöpfel T. (1990). Potassium conductances in hippocampal neurons blocked by excitatory amino-acid transmitters. Nature. 347 [PubMed]

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

Chow CC, White JA, Ritt J, Kopell N. (1998). Frequency control in synchronized networks of inhibitory neurons. Journal of computational neuroscience. 5 [PubMed]

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

Destexhe A, Paré D. (1999). Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo. Journal of neurophysiology. 81 [PubMed]

Destexhe A, Rudolph M, Paré D. (2003). The high-conductance state of neocortical neurons in vivo. Nature reviews. Neuroscience. 4 [PubMed]

Diener F. (1985). Proprietes asymptotiques des fleuves C R Acad Sci Paris. 302

Diener M. (1985). Determination et existence des fleuves en dimension 2 C R Acad Sci Paris. 301

Engel AK, König P, Kreiter AK, Schillen TB, Singer W. (1992). Temporal coding in the visual cortex: new vistas on integration in the nervous system. Trends in neurosciences. 15 [PubMed]

Ermentrout B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural computation. 8 [PubMed]

Ermentrout GB, Kopell N. (1998). Fine structure of neural spiking and synchronization in the presence of conduction delays. Proceedings of the National Academy of Sciences of the United States of America. 95 [PubMed]

Fisahn A, Pike FG, Buhl EH, Paulsen O. (1998). Cholinergic induction of network oscillations at 40 Hz in the hippocampus in vitro. Nature. 394 [PubMed]

Fries P, Neuenschwander S, Engel AK, Goebel R, Singer W. (2001). Rapid feature selective neuronal synchronization through correlated latency shifting. Nature neuroscience. 4 [PubMed]

Fries P, Roelfsema PR, Engel AK, König P, Singer W. (1997). Synchronization of oscillatory responses in visual cortex correlates with perception in interocular rivalry. Proceedings of the National Academy of Sciences of the United States of America. 94 [PubMed]

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

Gerstner W, van Hemmen JL. (1993). Coherence and incoherence in a globally coupled ensemble of pulse-emitting units. Physical review letters. 71 [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 [PubMed]

Gray CM, McCormick DA. (1996). Chattering cells: superficial pyramidal neurons contributing to the generation of synchronous oscillations in the visual cortex. Science (New York, N.Y.). 274 [PubMed]

Gutkin BS, Ermentrout GB. (1998). Dynamics of membrane excitability determine interspike interval variability: a link between spike generation mechanisms and cortical spike train statistics. Neural computation. 10 [PubMed]

Hansel D, Mato G. (2001). Existence and stability of persistent states in large neuronal networks. Physical review letters. 86 [PubMed]

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

Hansel D, Mato G, Meunier C. (1995). Synchrony in excitatory neural networks. Neural computation. 7 [PubMed]

Hasselmo ME. (1999). Neuromodulation: acetylcholine and memory consolidation. Trends in cognitive sciences. 3 [PubMed]

Hodgkin AL. (1948). The local electric changes associated with repetitive action in a non-medullated axon. The Journal of physiology. 107 [PubMed]

Izhikevich EM. (2000). Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng. 10

Izhikevich EM, Hoppensteadt FC. (1997). Weakly Connected Neural Networks.

Knowles WD, Schwartzkroin PA. (1981). Local circuit synaptic interactions in hippocampal brain slices. The Journal of neuroscience : the official journal of the Society for Neuroscience. 1 [PubMed]

Kopell N, Bose A, Terman D. (1998). Dynamics of two mutually coupled slow inhibitory neurons. Physica D. 117

Kopell N, Bose A, Terman D. (2000). Almost-synchronous solutions for mutually coupled excitatory neurons. Physica D. 140

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

Kopell N, Ermentrout GB. (2002). Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators Handbook of dynamical systems. 2

Latham PE, Richmond BJ, Nelson PG, Nirenberg S. (2000). Intrinsic dynamics in neuronal networks. I. Theory. Journal of neurophysiology. 83 [PubMed]

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

Olufsen MS, Whittington MA, Camperi M, Kopell N. (2003). New roles for the gamma rhythm: population tuning and preprocessing for the Beta rhythm. Journal of computational neuroscience. 14 [PubMed]

Peskin CS. (1975). Mathematical Aspects of Heart Physiology Courant Institute of Mathematical Sciences.

Pulvermüller F, Birbaumer N, Lutzenberger W, Mohr B. (1997). High-frequency brain activity: its possible role in attention, perception and language processing. Progress in neurobiology. 52 [PubMed]

Rinzel J, Ermentrout B. (1998). Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition.

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

Singer W. (1999). Neuronal synchrony: a versatile code for the definition of relations? Neuron. 24 [PubMed]

Singer W, Gray CM. (1995). Visual feature integration and the temporal correlation hypothesis. Annual review of neuroscience. 18 [PubMed]

Skinner FK, Kopell N, Marder E. (1994). Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. Journal of computational neuroscience. 1 [PubMed]

Slotnick SD, Moo LR, Kraut MA, Lesser RP, Hart J. (2002). Interactions between thalamic and cortical rhythms during semantic memory recall in human. Proceedings of the National Academy of Sciences of the United States of America. 99 [PubMed]

Somers D, Kopell N. (1993). Rapid synchronization through fast threshold modulation. Biological cybernetics. 68 [PubMed]

Storm JF. (1989). An after-hyperpolarization of medium duration in rat hippocampal pyramidal cells. The Journal of physiology. 409 [PubMed]

Strogatz SH, Mirollo RE. (1990). Synchronization of pulse-coupled biological oscillators. Siam J Appl Math. 6

Tallon-Baudry C, Bertrand O, Peronnet F, Pernier J. (1998). Induced gamma-band activity during the delay of a visual short-term memory task in humans. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]

Tamás G, Buhl EH, Lörincz A, Somogyi P. (2000). Proximally targeted GABAergic synapses and gap junctions synchronize cortical interneurons. Nature neuroscience. 3 [PubMed]

Tiesinga PH, Fellous JM, José JV, Sejnowski TJ. (2001). Computational model of carbachol-induced delta, theta, and gamma oscillations in the hippocampus. Hippocampus. 11 [PubMed]

Tiitinen H et al. (1993). Selective attention enhances the auditory 40-Hz transient response in humans. Nature. 364 [PubMed]

Traub RD et al. (2000). A model of gamma-frequency network oscillations induced in the rat CA3 region by carbachol in vitro. The European journal of neuroscience. 12 [PubMed]

Traub RD, Buhl EH, Gloveli T, Whittington MA. (2003). Fast rhythmic bursting can be induced in layer 2/3 cortical neurons by enhancing persistent Na+ conductance or by blocking BK channels. Journal of neurophysiology. 89 [PubMed]

Traub RD et al. (2001). Gap junctions between interneuron dendrites can enhance synchrony of gamma oscillations in distributed networks. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [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. The Journal of physiology. 493 ( Pt 2) [PubMed]

Van Vreeswijk C, Abbott LF, Ermentrout GB. (1994). When inhibition not excitation synchronizes neural firing. Journal of computational neuroscience. 1 [PubMed]

Wang XJ, Buzsáki G. (1996). Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 16 [PubMed]

Wang XJ, Golomb D, Rinzel J. (1995). Emergent spindle oscillations and intermittent burst firing in a thalamic model: specific neuronal mechanisms. Proceedings of the National Academy of Sciences of the United States of America. 92 [PubMed]

White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N. (1998). Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. Journal of computational neuroscience. 5 [PubMed]

Whittington MA, Stanford IM, Colling SB, Jefferys JG, Traub RD. (1997). Spatiotemporal patterns of gamma frequency oscillations tetanically induced in the rat hippocampal slice. The Journal of physiology. 502 ( Pt 3) [PubMed]

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

Whittington MA, Traub RD, Kopell N, Ermentrout B, Buhl EH. (2000). Inhibition-based rhythms: experimental and mathematical observations on network dynamics. International journal of psychophysiology : official journal of the International Organization of Psychophysiology. 38 [PubMed]

van Vreeswijk C. (2000). Analysis of the asynchronous state in networks of strongly coupled oscillators Physical review letters. 84 [PubMed]

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

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Avella Gonzalez OJ, Mansvelder HD, van Pelt J, van Ooyen A. (2015). H-Channels Affect Frequency, Power and Amplitude Fluctuations of Neuronal Network Oscillations. Frontiers in computational neuroscience. 9 [PubMed]

Avella Gonzalez OJ, van Aerde KI, Mansvelder HD, van Pelt J, van Ooyen A. (2014). Inter-network interactions: impact of connections between oscillatory neuronal networks on oscillation frequency and pattern. PloS one. 9 [PubMed]

Avella Gonzalez OJ et al. (2012). External drive to inhibitory cells induces alternating episodes of high- and low-amplitude oscillations. PLoS computational biology. 8 [PubMed]

Börgers C, Epstein S, Kopell NJ. (2005). Background gamma rhythmicity and attention in cortical local circuits: a computational study. Proceedings of the National Academy of Sciences of the United States of America. 102 [PubMed]

Börgers C, Kopell NJ. (2008). Gamma oscillations and stimulus selection. Neural computation. 20 [PubMed]

Kopell N, Borgers C, Pervouchine D, Tort AB, Malerba P. (2010). Gamma and theta rhythms in biophysical models of hippocampal circuits Hippocampal Microcircuits: A Computational Modeller`s Resource Book. Ch. 15..

Lu Y, Sarter M, Zochowski M, Booth V. (2020). Phasic cholinergic signaling promotes emergence of local gamma rhythms in excitatory-inhibitory networks. The European journal of neuroscience. 52 [PubMed]

Neymotin SA, Jacobs KM, Fenton AA, Lytton WW. (2011). Synaptic information transfer in computer models of neocortical columns. Journal of computational neuroscience. 30 [PubMed]

Sherfey JS et al. (2018). DynaSim: A MATLAB Toolbox for Neural Modeling and Simulation. Frontiers in neuroinformatics. 12 [PubMed]

Spencer KM. (2009). The functional consequences of cortical circuit abnormalities on gamma oscillations in schizophrenia: insights from computational modeling. Frontiers in human neuroscience. 3 [PubMed]

Stacey WC, Krieger A, Litt B. (2011). Network recruitment to coherent oscillations in a hippocampal computer model. Journal of neurophysiology. 105 [PubMed]

Tomsett RJ et al. (2015). Virtual Electrode Recording Tool for EXtracellular potentials (VERTEX): comparing multi-electrode recordings from simulated and biological mammalian cortical tissue. Brain structure & function. 220 [PubMed]

Vierling-Claassen D, Cardin JA, Moore CI, Jones SR. (2010). Computational modeling of distinct neocortical oscillations driven by cell-type selective optogenetic drive: separable resonant circuits controlled by low-threshold spiking and fast-spiking interneurons. Frontiers in human neuroscience. 4 [PubMed]

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