Citation Relationships



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

Acker CD, Kopell N, White JA (2003) Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. J Comput Neurosci 15:71-90 [Journal] [PubMed]

Borgers C, Kopell N (2003) Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Comput 15:509-38 [PubMed]

Bose A, Kopell N, Terman D (2000) Almost-synchronous solutions for mutually coupled excitatory neurons. Physica D 140:69-94

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 (2000) Phase diagrams of sparsely connected networks of excitatory and inhibitory spiking neurons Neurocomputing 32:307-312

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]

Charpak S, Gahwiler BH, Do KQ, Knopfel T (1990) Potassium conductances in hippocampal neurons blocked by excitatory amino-acid transmitters. Nature 347:765-7 [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 [Journal] [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]

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]

Destexhe A, Rudolph M, Pare D (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4:739-51 [PubMed]

Diener F (1985) Proprietes asymptotiques des fleuves C R Acad Sci Paris 302:55-58

Diener M (1985) Determination et existence des fleuves en dimension 2 C R Acad Sci Paris 301:899-902

Engel AK, Konig P, Kreiter AK, Schillen TB, Singer W (1992) Temporal coding in the visual cortex: new vistas on integration in the nervous system. Trends Neurosci 15:218-26 [PubMed]

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

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

Ermentrout GB, Kopell N (1998) Fine structure of neural spiking and synchronization in the presence of conduction delays. Proc Natl Acad Sci U S A 95:1259-64 [PubMed]

Fisahn A, Pike FG, Buhl EH, Paulsen O (1998) Cholinergic induction of network oscillations at 40 Hz in the hippocampus in vitro. Nature 394:186-9 [PubMed]

Fries P, Neuenschwander S, Engel AK, Goebel R, Singer W (2001) Rapid feature selective neuronal synchronization through correlated latency shifting. Nat Neurosci 4:194-200 [PubMed]

Fries P, Roelfsema PR, Engel AK, Konig P, Singer W (1997) Synchronization of oscillatory responses in visual cortex correlates with perception in interocular rivalry. Proc Natl Acad Sci U S A 94:12699-704 [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 W (1993) Coherence and incoherence in a globally coupled ensemble of pulse-emitting units. PHYSICAL REVIEW LETTERS 71:312-315 [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]

Gray CM, McCormick DA (1996) Chattering cells: superficial pyramidal neurons contributing to the generation of synchronous oscillations in the visual cortex. Science 274:109-13 [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 Comput 10:1047-65 [PubMed]

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 (1995) Synchrony in excitatory neural networks. Neural Comput 7:307-37 [PubMed]

Hasselmo ME (1999) Neuromodulation: acetylcholine and memory consolidation. Trends Cogn Sci 3:351-359 [PubMed]

Hodgkin AL (1948) The local electric changes associated with repetitive action in a non-medullated axon. J Physiol 107:165-81 [PubMed]

Hoppensteadt FC, Izhikevich EM (1997) Weakly Connected Neural Networks :90

Izhikevich EM (2000) Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng 10:1171-1266

Knowles WD, Schwartzkroin PA (1981) Local circuit synaptic interactions in hippocampal brain slices. J Neurosci 1:318-22 [PubMed]

Kopell N, Ermentrout GB (2002) Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators Handbook of dynamical systems, Fiedler B, ed, ed. pp.5

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

Mirollo RE, Strogatz SH (1990) Synchronization of pulse-coupled biological oscillators. Siam J Appl Math 6:1645-1657

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

Olufsen MS, Whittington MA, Camperi M, Kopell N (2004) New roles for the gamma rhythm: population tuning and preprocessing for the Beta rhythm. J Comput Neurosci 14:33-54 [Journal] [PubMed]

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

Pulvermuller F, Birbaumer N, Lutzenberger W, Mohr B (1997) High-frequency brain activity: its possible role in attention, perception and language processing. Prog Neurobiol 52:427-45 [PubMed]

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

Singer W (1999) Neuronal synchrony: a versatile code for the definition of relations? Neuron 24:49-65, 111-25 [PubMed]

Singer W, Gray CM (1995) Visual feature integration and the temporal correlation hypothesis. Annu Rev Neurosci 18:555-86 [PubMed]

Skinner FK, Kopell N, Marder E (1994) Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. J Comput Neurosci 1:69-87 [Journal] [PubMed]

Slotnick SD, Moo LR, Kraut MA, Lesser RP, Hart J (2002) Interactions between thalamic and cortical rhythms during semantic memory recall in human. Proc Natl Acad Sci U S A 99:6440-3 [PubMed]

Somers D, Kopell N (1993) Rapid synchronization through fast threshold modulation. Biol Cybern 68:393-407 [PubMed]

Storm JF (1989) An after-hyperpolarization of medium duration in rat hippocampal pyramidal cells. J Physiol 409:171-90 [PubMed]

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. J Neurosci 18:4244-54 [PubMed]

Tamas G, Buhl EH, Lorincz A, Somogyi P (2000) Proximally targeted GABAergic synapses and gap junctions synchronize cortical interneurons. Nat Neurosci 3:366-71 [PubMed]

Terman D, Kopell N, Bose A (1998) Dynamics of two mutually coupled slow inhibitory neurons. Physica D 117:241-275

Tiesinga PH, Fellous JM, Jose JV, Sejnowski TJ (2001) Computational model of carbachol-induced delta, theta, and gamma oscillations in the hippocampus. Hippocampus 11:251-74 [PubMed]

Tiitinen H, Sinkkonen J, Reinikainen K, Alho K, Lavikainen J, Naatanen R (1993) Selective attention enhances the auditory 40-Hz transient response in humans. Nature 364:59-60 [PubMed]

Traub RD, Bibbig A, Fisahn A, LeBeau FE, Whittington MA, Buhl EH (2000) A model of gamma-frequency network oscillations induced in the rat CA3 region by carbachol in vitro. Eur J Neurosci 12:4093-106 [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. J Neurophysiol 89:909-21 [Journal] [PubMed]

   Mechanisms of fast rhythmic bursting in a layer 2/3 cortical neuron (Traub et al 2003) [Model]

Traub RD, Kopell N, Bibbig A, Buhl EH, LeBeau FE, Whittington MA (2001) Gap junctions between interneuron dendrites can enhance synchrony of gamma oscillations in distributed networks. J Neurosci 21:9478-86 [PubMed]

Traub RD, Whittington MA, Colling SB, Buzsaki 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]

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

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]

Wang XJ, Golomb D, Rinzel J (1995) Emergent spindle oscillations and intermittent burst firing in a thalamic model: specific neuronal mechanisms. Proc Natl Acad Sci U S A 92:5577-81 [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-Trevino C, Kopell N (1998) Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J Comput Neurosci 5:5-16 [Journal] [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. J Physiol 502 ( Pt 3):591-607 [PubMed]

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

Avella Gonzalez OJ, Mansvelder HD, van Pelt J, van Ooyen A (2015) H-Channels Affect Frequency, Power and Amplitude Fluctuations of Neuronal Network Oscillations. Front Comput Neurosci 9:141 [Journal] [PubMed]

   H-currents effect on the fluctuation of gamma/beta oscillations (Avella-Gonzalez et al., 2015) [Model]

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(7):e100899 [Journal] [PubMed]

   A two networks model of connectivity-dependent oscillatory activity (Avella OJ et al. 2014) [Model]

Avella Gonzalez OJ, van Aerde KI, van Elburg RA, Poil SS, Mansvelder HD, Linkenkaer-Hansen K, (2012) External drive to inhibitory cells induces alternating episodes of high- and low-amplitude oscillations. PLoS Comput Biol 8:e1002666-40 [Journal] [PubMed]

   Single E-I oscillating network with amplitude modulation (Avella Gonzalez et al. 2012) [Model]

Borgers C, Epstein S, Kopell NJ (2005) Background gamma rhythmicity and attention in cortical local circuits: a computational study. Proc Natl Acad Sci U S A 102:7002-7 [PubMed]

Borgers C, Kopell NJ (2008) Gamma oscillations and stimulus selection. Neural Comput 20:383-414 [PubMed]

Kopell N, Borgers C, Pervouchine D, Malerba P, Tort ABL (2010) Gamma and theta rhythms in biophysical models of hippocampal circuits Hippocampal Microcircuits: A Computational Modeller`s Resource Book. Ch. 15., Cutsuridis V, Graham BF, Cobb S, Vida I, ed. [Journal]

   Gamma and theta rythms in biophysical models of hippocampus circuits (Kopell et al. 2011) [Model]

Neymotin SA, Jacobs KM, Fenton AA, Lytton WW (2011) Synaptic information transfer in computer models of neocortical columns. J Comput Neurosci. 30(1):69-84 [Journal] [PubMed]

   Synaptic information transfer in computer models of neocortical columns (Neymotin et al. 2010) [Model]

Stacey WC, Krieger A, Litt B (2011) Network recruitment to coherent oscillations in a hippocampal computer model. J Neurophysiol 105(4):1464-1481 [Journal] [PubMed]

   Network recruitment to coherent oscillations in a hippocampal model (Stacey et al. 2011) [Model]

Tomsett RJ, Ainsworth M, Thiele A, Sanayei M, Chen X, Gieselmann MA, Whittington MA, Cunningh (2015) Virtual Electrode Recording Tool for EXtracellular potentials (VERTEX): comparing multi-electrode recordings from simulated and biological mammalian cortical tissue. Brain Struct Funct 220(4):2333-53 [Journal] [PubMed]

   Large-scale model of neocortical slice in vitro exhibiting persistent gamma (Tomsett et al. 2014) [Model]

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. Front Hum Neurosci 4:198 [Journal] [PubMed]

   Engaging distinct oscillatory neocortical circuits (Vierling-Claassen et al. 2010) [Model]

(79 refs)