Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ. (2002). Model of thalamocortical slow-wave sleep oscillations and transitions to activated States. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]
Cohen I, Navarro V, Clemenceau S, Baulac M, Miles R. (2002). On the origin of interictal activity in human temporal lobe epilepsy in vitro. Science (New York, N.Y.). 298 [PubMed]
Compte A, Sanchez-Vives MV, McCormick DA, Wang XJ. (2003). Cellular and network mechanisms of slow oscillatory activity (<1 Hz) and wave propagations in a cortical network model. Journal of neurophysiology. 89 [PubMed]
Connors BW, Gutnick MJ. (1990). Intrinsic firing patterns of diverse neocortical neurons. Trends in neurosciences. 13 [PubMed]
Destexhe A, Mainen ZF, Sejnowski TJ. (1994). Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. Journal of computational neuroscience. 1 [PubMed]
Durstewitz D, Seamans JK, Sejnowski TJ. (2000). Neurocomputational models of working memory. Nature neuroscience. 3 Suppl [PubMed]
Ermentrout B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural computation. 8 [PubMed]
Esclapez M, Hirsch JC, Khazipov R, Ben-Ari Y, Bernard C. (1997). Operative GABAergic inhibition in hippocampal CA1 pyramidal neurons in experimental epilepsy. Proceedings of the National Academy of Sciences of the United States of America. 94 [PubMed]
Galarreta M, Hestrin S. (1998). Frequency-dependent synaptic depression and the balance of excitation and inhibition in the neocortex. Nature neuroscience. 1 [PubMed]
Gil Z, Connors BW, Amitai Y. (1997). Differential regulation of neocortical synapses by neuromodulators and activity. Neuron. 19 [PubMed]
Heinemann U, Lux HD, Gutnick MJ. (1977). Extracellular free calcium and potassium during paroxsmal activity in the cerebral cortex of the cat. Experimental brain research. 27 [PubMed]
Jahnsen H, Llinás R. (1984). Electrophysiological properties of guinea-pig thalamic neurones: an in vitro study. The Journal of physiology. 349 [PubMed]
Jones CK. (1995). Geometric singular perturbation theory. Dynamical systems: lectures given at the 2nd session of the Centro Internazional Matemactico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 13-22, 1994.
Kuznetsov YA. (2004). Elements of applied bifurcation theory, 3rd Edition.
Kuznetsov YA, Dhooge A, Govaerts W. (2003). MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs Acm Trans Math Softw. 29
Mainen ZF, Sejnowski TJ. (1996). Influence of dendritic structure on firing pattern in model neocortical neurons. Nature. 382 [PubMed]
Manor Y, Nadim F. (2001). Synaptic depression mediates bistability in neuronal networks with recurrent inhibitory connectivity. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [PubMed]
Markram H, Pikus D, Gupta A, Tsodyks M. (1998). Potential for multiple mechanisms, phenomena and algorithms for synaptic plasticity at single synapses. Neuropharmacology. 37 [PubMed]
McCormick DA. (1992). Neurotransmitter actions in the thalamus and cerebral cortex and their role in neuromodulation of thalamocortical activity. Progress in neurobiology. 39 [PubMed]
McCormick DA, Connors BW, Lighthall JW, Prince DA. (1985). Comparative electrophysiology of pyramidal and sparsely spiny stellate neurons of the neocortex. Journal of neurophysiology. 54 [PubMed]
Orkand RK, Nicholls JG, Kuffler SW. (1966). Effect of nerve impulses on the membrane potential of glial cells in the central nervous system of amphibia. Journal of neurophysiology. 29 [PubMed]
Osinga HM, England JP. (2005). Separating manifolds in slow-fast systems Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference.
Prince DA, Jacobs KM, Salin PA, Hoffman S, Parada I. (1997). Chronic focal neocortical epileptogenesis: does disinhibition play a role? Canadian journal of physiology and pharmacology. 75 [PubMed]
Rinzel J. (1985). Bursting oscillations in an excitable membrane model, in ordinary and partial differential equations New Lecture Notes in Mathematics. 1151
Rinzel J, Ermentrout GB. (1989). Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks.
Rinzel J, Lee YS. (1987). Dissection of a model for neuronal parabolic bursting. Journal of mathematical biology. 25 [PubMed]
Rutecki PA, Lebeda FJ, Johnston D. (1985). Epileptiform activity induced by changes in extracellular potassium in hippocampus. Journal of neurophysiology. 54 [PubMed]
Steriade M, Contreras D. (1998). Spike-wave complexes and fast components of cortically generated seizures. I. Role of neocortex and thalamus. Journal of neurophysiology. 80 [PubMed]
Steriade M, McCarley R. (2005). Brain control of wakefulness and sleep.
Steriade M, McCormick DA, Sejnowski TJ. (1993). Thalamocortical oscillations in the sleeping and aroused brain. Science (New York, N.Y.). 262 [PubMed]
Steriade M, Timofeev I, Grenier F. (2001). Natural waking and sleep states: a view from inside neocortical neurons. Journal of neurophysiology. 85 [PubMed]
Timofeev I, Bazhenov M, Sejnowski T, Steriade M. (2002). Cortical hyperpolarization-activated depolarizing current takes part in the generation of focal paroxysmal activities. Proceedings of the National Academy of Sciences of the United States of America. 99 [PubMed]
Timofeev I, Grenier F, Bazhenov M, Sejnowski TJ, Steriade M. (2000). Origin of slow cortical oscillations in deafferented cortical slabs. Cerebral cortex (New York, N.Y. : 1991). 10 [PubMed]
Timofeev I, Grenier F, Steriade M. (2001). Disfacilitation and active inhibition in the neocortex during the natural sleep-wake cycle: an intracellular study. Proceedings of the National Academy of Sciences of the United States of America. 98 [PubMed]
Traynelis SF, Dingledine R. (1988). Potassium-induced spontaneous electrographic seizures in the rat hippocampal slice. Journal of neurophysiology. 59 [PubMed]
Tsodyks MV, Markram H. (1997). The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. Proceedings of the National Academy of Sciences of the United States of America. 94 [PubMed]
Turrigiano GG, Marder E, Abbott LF. (1996). Cellular short-term memory from a slow potassium conductance. Journal of neurophysiology. 75 [PubMed]
Yuen GL, Hockberger PE, Houk JC. (1995). Bistability in cerebellar Purkinje cell dendrites modelled with high-threshold calcium and delayed-rectifier potassium channels. Biological cybernetics. 73 [PubMed]
Barreto E, Cressman JR. (2011). Ion concentration dynamics as a mechanism for neuronal bursting. Journal of biological physics. 37 [PubMed]
Kim CM, Nykamp DQ. (2017). The influence of depolarization block on seizure-like activity in networks of excitatory and inhibitory neurons. Journal of computational neuroscience. 43 [PubMed]
Krishnan GP, Filatov G, Shilnikov A, Bazhenov M. (2015). Electrogenic properties of the Na?/K? ATPase control transitions between normal and pathological brain states. Journal of neurophysiology. 113 [PubMed]
Lewin N, Aksay E, Clancy CE. (2012). Computational modeling reveals dendritic origins of GABA(A)-mediated excitation in CA1 pyramidal neurons. PloS one. 7 [PubMed]
Naze S, Bernard C, Jirsa V. (2015). Computational modeling of seizure dynamics using coupled neuronal networks: factors shaping epileptiform activity. PLoS computational biology. 11 [PubMed]
Øyehaug L, Østby I, Lloyd CM, Omholt SW, Einevoll GT. (2012). Dependence of spontaneous neuronal firing and depolarisation block on astroglial membrane transport mechanisms. Journal of computational neuroscience. 32 [PubMed]