Achuthan S, Canavier CC. (2009). Phase-resetting curves determine synchronization, phase locking, and clustering in networks of neural oscillators. The Journal of neuroscience : the official journal of the Society for Neuroscience. 29 [PubMed]
Atallah BV, Scanziani M. (2009). Instantaneous modulation of gamma oscillation frequency by balancing excitation with inhibition. Neuron. 62 [PubMed]
Banke TG, McBain CJ. (2006). GABAergic input onto CA3 hippocampal interneurons remains shunting throughout development. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]
Baroni F, Burkitt AN, Grayden DB. (2014). Interplay of intrinsic and synaptic conductances in the generation of high-frequency oscillations in interneuronal networks with irregular spiking. PLoS computational biology. 10 [PubMed]
Bartos M, Vida I, Jonas P. (2007). Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks. Nature reviews. Neuroscience. 8 [PubMed]
Batschelet E. (1981). Circular statistics in biology.
Beatty JA, Song SC, Wilson CJ. (2015). Cell-type-specific resonances shape the responses of striatal neurons to synaptic input. Journal of neurophysiology. 113 [PubMed]
Bettencourt JC, Lillis KP, Stupin LR, White JA. (2008). Effects of imperfect dynamic clamp: computational and experimental results. Journal of neuroscience methods. 169 [PubMed]
Bressler SL, Freeman WJ. (1980). Frequency analysis of olfactory system EEG in cat, rabbit, and rat. Electroencephalography and clinical neurophysiology. 50 [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]
Buzsáki G, Wang XJ. (2012). Mechanisms of gamma oscillations. Annual review of neuroscience. 35 [PubMed]
Börgers C, Walker B. (2013). Toggling between gamma-frequency activity and suppression of cell assemblies. Frontiers in computational neuroscience. 7 [PubMed]
Cardin JA et al. (2009). Driving fast-spiking cells induces gamma rhythm and controls sensory responses. Nature. 459 [PubMed]
Chow CC, White JA, Ritt J, Kopell N. (1998). Frequency control in synchronized networks of inhibitory neurons. Journal of computational neuroscience. 5 [PubMed]
Cobb SR, Buhl EH, Halasy K, Paulsen O, Somogyi P. (1995). Synchronization of neuronal activity in hippocampus by individual GABAergic interneurons. Nature. 378 [PubMed]
Dorval AD, Christini DJ, White JA. (2001). Real-Time linux dynamic clamp: a fast and flexible way to construct virtual ion channels in living cells. Annals of biomedical engineering. 29 [PubMed]
Economo MN, Fernandez FR, White JA. (2010). Dynamic clamp: alteration of response properties and creation of virtual realities in neurophysiology. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Economo MN, White JA. (2012). Membrane properties and the balance between excitation and inhibition control gamma-frequency oscillations arising from feedback inhibition. PLoS computational biology. 8 [PubMed]
Erisir A, Lau D, Rudy B, Leonard CS. (1999). Function of specific K(+) channels in sustained high-frequency firing of fast-spiking neocortical interneurons. Journal of neurophysiology. 82 [PubMed]
Ermentrout B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural computation. 8 [PubMed]
Ferguson KA, Huh CY, Amilhon B, Williams S, Skinner FK. (2013). Experimentally constrained CA1 fast-firing parvalbumin-positive interneuron network models exhibit sharp transitions into coherent high frequency rhythms. Frontiers in computational neuroscience. 7 [PubMed]
Fitzhugh R. (1976). Anodal excitation in the Hodgkin-Huxley nerve model. Biophysical journal. 16 [PubMed]
Fries P. (2009). Neuronal gamma-band synchronization as a fundamental process in cortical computation. Annual review of neuroscience. 32 [PubMed]
Glass L, Winfree AT. (1984). Discontinuities in phase-resetting experiments. The American journal of physiology. 246 [PubMed]
Golubitsky M, Stewart I. (2006). Nonlinear dynamics of networks: the groupoid formalism Bull Am Math Soc. 43
Gulyás AI et al. (2010). Parvalbumin-containing fast-spiking basket cells generate the field potential oscillations induced by cholinergic receptor activation in the hippocampus. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Gutfreund Y, yarom Y, Segev I. (1995). Subthreshold oscillations and resonant frequency in guinea-pig cortical neurons: physiology and modelling. The Journal of physiology. 483 ( Pt 3) [PubMed]
Hansel D, Mato G, Meunier C. (1995). Synchrony in excitatory neural networks. Neural computation. 7 [PubMed]
Hines ML, Carnevale NT. (1997). The NEURON simulation environment. Neural computation. 9 [PubMed]
Hippenmeyer S et al. (2005). A developmental switch in the response of DRG neurons to ETS transcription factor signaling. PLoS biology. 3 [PubMed]
Hodgkin AL. (1948). The local electric changes associated with repetitive action in a non-medullated axon. The Journal of physiology. 107 [PubMed]
Hutcheon B, Yarom Y. (2000). Resonance, oscillation and the intrinsic frequency preferences of neurons. Trends in neurosciences. 23 [PubMed]
Hájos N et al. (2004). Spike timing of distinct types of GABAergic interneuron during hippocampal gamma oscillations in vitro. The Journal of neuroscience : the official journal of the Society for Neuroscience. 24 [PubMed]
Izhikevich EM. (2003). Simple model of spiking neurons. IEEE transactions on neural networks. 14 [PubMed]
Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]
Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.
Izhikevich EM, Desai NS, Walcott EC, Hoppensteadt FC. (2003). Bursts as a unit of neural information: selective communication via resonance. Trends in neurosciences. 26 [PubMed]
Kandel ER, Jessell TM, Schwartz JH. (2000). Principles of neural science (4th ed).
Kaplan DT et al. (1996). Subthreshold dynamics in periodically stimulated squid giant axons. Physical review letters. 76 [PubMed]
Klausberger T, Somogyi P. (2008). Neuronal diversity and temporal dynamics: the unity of hippocampal circuit operations. Science (New York, N.Y.). 321 [PubMed]
Lin RJ, Bettencourt J, Wha Ite J, Christini DJ, Butera RJ. (2010). Real-time experiment interface for biological control applications. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference. 2010 [PubMed]
Lisman JE, Jensen O. (2013). The ?-? neural code. Neuron. 77 [PubMed]
Mancilla JG, Lewis TJ, Pinto DJ, Rinzel J, Connors BW. (2007). Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]
Moca VV, Nikolic D, Singer W, Mureşan RC. (2014). Membrane resonance enables stable and robust gamma oscillations. Cerebral cortex (New York, N.Y. : 1991). 24 [PubMed]
Perkel DH, Mulloney B. (1974). Motor pattern production in reciprocally inhibitory neurons exhibiting postinhibitory rebound. Science (New York, N.Y.). 185 [PubMed]
Pike FG et al. (2000). Distinct frequency preferences of different types of rat hippocampal neurones in response to oscillatory input currents. The Journal of physiology. 529 Pt 1 [PubMed]
Prescott SA, Ratté S, De Koninck Y, Sejnowski TJ. (2008). Pyramidal neurons switch from integrators in vitro to resonators under in vivo-like conditions. Journal of neurophysiology. 100 [PubMed]
Rinzel J, Ermentrout B. (1998). Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition.
Rinzel J, Terman D, Wang X, Ermentrout B. (1998). Propagating activity patterns in large-scale inhibitory neuronal networks. Science (New York, N.Y.). 279 [PubMed]
Rotstein HG. (2015). Subthreshold amplitude and phase resonance in models of quadratic type: nonlinear effects generated by the interplay of resonant and amplifying currents. Journal of computational neuroscience. 38 [PubMed]
Rotstein HG, Nadim F. (2014). Frequency preference in two-dimensional neural models: a linear analysis of the interaction between resonant and amplifying currents. Journal of computational neuroscience. 37 [PubMed]
Schreiber S, Samengo I, Herz AV. (2009). Two distinct mechanisms shape the reliability of neural responses. Journal of neurophysiology. 101 [PubMed]
Sciamanna G, Wilson CJ. (2011). The ionic mechanism of gamma resonance in rat striatal fast-spiking neurons. Journal of neurophysiology. 106 [PubMed]
Siapas AG, Lubenov EV, Wilson MA. (2005). Prefrontal phase locking to hippocampal theta oscillations. Neuron. 46 [PubMed]
Song S, Sjöström PJ, Reigl M, Nelson S, Chklovskii DB. (2005). Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS biology. 3 [PubMed]
Taniguchi H et al. (2011). A resource of Cre driver lines for genetic targeting of GABAergic neurons in cerebral cortex. Neuron. 71 [PubMed]
Tateno T, Harsch A, Robinson HP. (2004). Threshold firing frequency-current relationships of neurons in rat somatosensory cortex: type 1 and type 2 dynamics. Journal of neurophysiology. 92 [PubMed]
Thounaojam US, Cui J, Norman SE, Butera RJ, Canavier CC. (2014). Slow noise in the period of a biological oscillator underlies gradual trends and abrupt transitions in phasic relationships in hybrid neural networks. PLoS computational biology. 10 [PubMed]
Van Vreeswijk C, Abbott LF, Ermentrout GB. (1994). When inhibition not excitation synchronizes neural firing. Journal of computational neuroscience. 1 [PubMed]
Wang XJ. (2010). Neurophysiological and computational principles of cortical rhythms in cognition. Physiological reviews. 90 [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, Rinzel J. (1993). Spindle rhythmicity in the reticularis thalami nucleus: synchronization among mutually inhibitory neurons. Neuroscience. 53 [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, Cunningham MO, LeBeau FE, Racca C, Traub RD. (2011). Multiple origins of the cortical ? rhythm. Developmental neurobiology. 71 [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 Hooft JA, Giuffrida R, Blatow M, Monyer H. (2000). Differential expression of group I metabotropic glutamate receptors in functionally distinct hippocampal interneurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 20 [PubMed]
van Vreeswijk C, Sompolinsky H. (1998). Chaotic balanced state in a model of cortical circuits. Neural computation. 10 [PubMed]
Rich S et al. (2019). Inhibitory Network Bistability Explains Increased Interneuronal Activity Prior to Seizure Onset. Frontiers in neural circuits. 13 [PubMed]
Tikidji-Hamburyan RA, Canavier CC. (2020). Shunting Inhibition Improves Synchronization in Heterogeneous Inhibitory Interneuronal Networks with Type 1 Excitability Whereas Hyperpolarizing Inhibition is Better for Type 2 Excitability. eNeuro. 7 [PubMed]
Tikidji-Hamburyan RA, El-Ghazawi TA, Narayana V, Bozkus Z. (2017). Software for Brain Network Simulations: A Comparative Study Front. Neuroinform..
Tikidji-Hamburyan RA, Leonik CA, Canavier CC. (2019). Phase response theory explains cluster formation in sparsely but strongly connected inhibitory neural networks and effects of jitter due to sparse connectivity. Journal of neurophysiology. 121 [PubMed]