References and models cited by this paper | References and models that cite this paper | |||||||
Aksay E, Gamkrelidze G, Seung HS, Baker R, Tank DW (2001) In vivo intracellular recording and perturbation of persistent activity in a neural integrator. Nat Neurosci 4:184-93 [Journal] [PubMed] Bikson M, Lian J, Hahn PJ, Stacey WC, Sciortino C, Durand DM (2001) Suppression of epileptiform activity by high frequency sinusoidal fields in rat hippocampal slices. J Physiol 531:181-91 [PubMed] Chan CY, Hounsgaard J, Nicholson C (1988) Effects of electric fields on transmembrane potential and excitability of turtle cerebellar Purkinje cells in vitro. J Physiol 402:751-71 [PubMed] Chan CY, Nicholson C (1986) Modulation by applied electric fields of Purkinje and stellate cell activity in the isolated turtle cerebellum. J Physiol 371:89-114 [PubMed] Cohen AH, Holmes PJ, Rand RH (1982) The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model. J Math Biol 13:345-69 [PubMed] Ermentrout B (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comput 8:979-1001 [PubMed] Ermentrout B, Kopell N (1984) Frequency plateaus in a chain of weakly coupled oscillators. Siam J Math Anal 15:215-237 Ermentrout GB (1981) Phase-locking of weakly coupled oscillators J Math Biol 12:327-342 Ermentrout GB (2002) Simulating, Analyzing, and Animating Dynamical System: A Guide to XPPAUT for Researchers and Students Society for Industrial and Applied Mathematics (SIAM) Ermentrout GB, Kleinfeld D (2001) Traveling electrical waves in cortex: insights from phase dynamics and speculation on a computational role. Neuron 29:33-44 [PubMed] Francis JT, Gluckman BJ, Schiff SJ (2003) Sensitivity of neurons to weak electric fields. J Neurosci 23:7255-61 [PubMed] Gluckman BJ, Neel EJ, Netoff TI, Ditto WL, Spano ML, Schiff SJ (1996) Electric field suppression of epileptiform activity in hippocampal slices. J Neurophysiol 76:4202-5 [Journal] [PubMed] Gluckman BJ, Nguyen H, Weinstein SL, Schiff SJ (2001) Adaptive electric field control of epileptic seizures. J Neurosci 21:590-600 [PubMed] Gluckman BJ, So P, Netoff TI, Spano ML, Schiff SJ (1998) Stochastic resonance in mammalian neuronal networks. Chaos 8:588-598 [Journal] [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] Gutkin BS, Laing CR, Colby CL, Chow CC, Ermentrout GB (2001) Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. J Comput Neurosci 11:121-34 [PubMed] Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comput 7:307-37 [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] Kandel E, Schwartz J, Jessell T (1991) The Principles of Neural Science Kuramoto Y (1984) Chemical oscillations, waves, and turbulence McBain CJ, Traynelis SF, Dingledine R (1990) Regional variation of extracellular space in the hippocampus. Science 249:674-7 [PubMed] Munyan B, So P, Barreto E, Schiff SJ (2003) unpublished Netoff TI, Schiff SJ (2002) Decreased neuronal synchronization during experimental seizures. J Neurosci 22:7297-307 [Journal] [PubMed] Park EH, So P, Barreto E, Schiff SJ (2003) Electric field modulation of synchronization in neuronal networks Neurocomputing 52:169-175 Penfield W, Jasper H (1954) Epilepsy and the functional anatomy of the human brain :896 Pikovsky A, Rosenblum M, Kurths J (2001) Synchronization A Universal Concept In Nonlinear Sciences Pikovsky AS, Rosenblum MG, Kurths J (2000) Phase synchronization in regular and chaotic systems Int J Bifurc Chaos 10:2291-2306 Pinsky PF, Rinzel J (1994) Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J Comput Neurosci 1:39-60 [PubMed]
Rand RH, Holmes PJ (1980) Bifurcations of periodic motions in two weakly coupled van der Pol oscillators Int J Nonlinear Mec 15:387-399 Rosenblum MG, Pikovsky AS, Kurths J (1996) Phase synchronization of chaotic oscillators. Phys Rev Lett 76:1804-1807 [Journal] [PubMed] Sharp PE, Blair HT, Cho J (2001) The anatomical and computational basis of the rat head-direction cell signal. Trends Neurosci 24:289-94 [PubMed] Stein PSG (1976) Mechanisms of interlimb phase control Neural Control of Locomotion, Herman R:Grillner S:Stein P:Stuart D, ed. pp.465 Tranchina D, Nicholson C (1986) A model for the polarization of neurons by extrinsically applied electric fields. Biophys J 50:1139-56 [Journal] [PubMed] Traub RD, Dudek FE, Taylor CP, Knowles WD (1985) Simulation of hippocampal afterdischarges synchronized by electrical interactions. Neuroscience 14:1033-8 [PubMed] Wang XJ (2001) Synaptic reverberation underlying mnemonic persistent activity. Trends Neurosci 24:455-63 [PubMed] Winfree AT (1980) The geometry of biological time. | Anderson WS, Kudela P, Cho J, Bergey GK, Franaszczuk PJ (2007) Studies of stimulus parameters for seizure disruption using neural network simulations. Biol Cybern 97:173-94 [Journal] [PubMed] Berzhanskaya J, Chernyy N, Gluckman BJ, Schiff SJ, Ascoli GA (2013) Modulation of hippocampal rhythms by subthreshold electric fields and network topology. J Comput Neurosci 34:369-89 [Journal] [PubMed]
Reznik RI, Barreto E, Sander E, So P (2016) Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites. J Comput Neurosci 40:27-50 [Journal] [PubMed]
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