Epileptic seizure model with Morris-Lecar neurons (Beverlin and Netoff 2011)


Beverlin B, Kakalios J, Nykamp D, Netoff TI. (2012). Dynamical changes in neurons during seizures determine tonic to clonic shift. Journal of computational neuroscience. 33 [PubMed]

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References and models cited by this paper

Abbott LF, Varela JA, Sen K, Nelson SB. (1997). Synaptic depression and cortical gain control. Science (New York, N.Y.). 275 [PubMed]

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]

Bragin A, Engel J, Staba RJ. (2010). High-frequency oscillations in epileptic brain. Current opinion in neurology. 23 [PubMed]

Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]

Buia C, Tiesinga P. (2006). Attentional modulation of firing rate and synchrony in a model cortical network. Journal of computational neuroscience. 20 [PubMed]

Canavier CC, Clark JW, Byrne JH, Butera RJ, Dror RO. (1999). A mathematical criterion based on phase response curves for stability in a ring of coupled oscillators. Biol Cybern. 80

Ermentrout B, Goel P. (2002). Synchrony, stability, and firing patterns in pulse coupled oscillators Physica D. 163

Ermentrout GB, Beverlin B, Troyer T, Netoff TI. (2011). The variance of phase-resetting curves. Journal of computational neuroscience. 31 [PubMed]

Ermentrout GB, Kleinfeld D. (2001). Traveling electrical waves in cortex: insights from phase dynamics and speculation on a computational role. Neuron. 29 [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]

Fink CG, Booth V, Zochowski M. (2011). Cellularly-driven differences in network synchronization propensity are differentially modulated by firing frequency. PLoS computational biology. 7 [PubMed]

Fisch JF, Olejniczak PW. (2006). Generalized-tonic-clonic seizures The treatment of epilepsy: Principles practice.

Garcia Dominguez L et al. (2005). Enhanced synchrony in epileptiform activity? Local versus distant phase synchronization in generalized seizures. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Gastaut H, Broughton RJ. (1972). Epileptic seizures; clinical and electrographic features, diagnosis and treatment.

Glass L, Mackey MC. (1988). From Clocks To Chaos: The Rhythms Of Life.

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

Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.

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

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

Kuramoto Y. (1984). Chemical oscillations, waves, and turbulence.

Lewis TJ, Rinzel J. (2003). Dynamics of spiking neurons connected by both inhibitory and electrical coupling. Journal of computational neuroscience. 14 [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]

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]

Morris C, Lecar H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical journal. 35 [PubMed]

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

Netoff TI et al. (2005). Synchronization in hybrid neuronal networks of the hippocampal formation. Journal of neurophysiology. 93 [PubMed]

Netoff TI, Clewley R, Arno S, Keck T, White JA. (2004). Epilepsy in small-world networks. The Journal of neuroscience : the official journal of the Society for Neuroscience. 24 [PubMed]

Netoff TI, Schiff SJ. (2002). Decreased neuronal synchronization during experimental seizures. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Neu J. (1979). Coupled chemical oscillators SIAM J. Appl. Math..

Perez Velazquez JL, Garcia Dominguez L, Wennberg R. (2007). Complex phase synchronization in epileptic seizures: evidence for a devil's staircase. Physical review. E, Statistical, nonlinear, and soft matter physics. 75 [PubMed]

Quian Quiroga R, Blanco S, Rosso OA, Garcia H, Rabinowicz A. (1997). Searching for hidden information with Gabor Transform in generalized tonic-clonic seizures. Electroencephalography and clinical neurophysiology. 103 [PubMed]

Rinzel J. (1985). Excitation dynamics: insights from simplified membrane models. Federation proceedings. 44 [PubMed]

Schindler K, Elger CE, Lehnertz K. (2007). Increasing synchronization may promote seizure termination: evidence from status epilepticus. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 118 [PubMed]

Schindler K, Leung H, Elger CE, Lehnertz K. (2007). Assessing seizure dynamics by analysing the correlation structure of multichannel intracranial EEG. Brain : a journal of neurology. 130 [PubMed]

Smeal RM, Ermentrout GB, White JA. (2010). Phase-response curves and synchronized neural networks. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 365 [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]

Strogatz S. (2000). From Kuramoto to Crawford: Explaining the onset of synchronization in populations of globally coupled oscillators Physica D. 143

Tiesinga PH, Sejnowski TJ. (2004). Rapid temporal modulation of synchrony by competition in cortical interneuron networks. Neural computation. 16 [PubMed]

Varela JA et al. (1997). A quantitative description of short-term plasticity at excitatory synapses in layer 2/3 of rat primary visual cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 17 [PubMed]

Ward_jr AA. (1961). The epileptic neurone Epilepsia.

Watts DJ, Strogatz SH. (1998). Collective dynamics of 'small-world' networks. Nature. 393 [PubMed]

Winfree A. (2001). The Geometry of Biological Time (2nd ed).

Zhao L, Beverlin B, Netoff T, Nykamp DQ. (2011). Synchronization from second order network connectivity statistics. Frontiers in computational neuroscience. 5 [PubMed]

Ziburkus J, Cressman JR, Barreto E, Schiff SJ. (2006). Interneuron and pyramidal cell interplay during in vitro seizure-like events. Journal of neurophysiology. 95 [PubMed]

References and models that cite this paper

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]

Liou JY et al. (2020). A model for focal seizure onset, propagation, evolution, and progression. eLife. 9 [PubMed]

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