External excitatory stimuli can terminate bursting in neural network models

Av-Ron, 1994, The role of a transient potassium current in a bursting neuron model, J. Math. Biol., 33, 71, 10.1007/BF00160174 Av-Ron, 1993, A basic biophysical model for bursting neurons, Biol. Cybern., 69, 87, 10.1007/BF00201411 Ben-Menachem, 1996, Modern management of epilepsy: vagus nerve stimulation, Baillieres Clin. Neurol., 5, 841 Bergey, 2001, Epileptic seizures are characterized by changing signal complexity, Clin. Neurophysiol., 112, 241, 10.1016/S1388-2457(00)00543-5 Bergey, 2002, Implementation of an external responsive neurostimulator system in patients with intractable epilepsy undergoing intracranial seizure monitoring, Epilepsia, 43, 191 Bikson, 2001, Suppression of epileptiform activity by high frequency sinusoidal fields in rat hippocampal slices, J. Physiol., 531, 181, 10.1111/j.1469-7793.2001.0181j.x Burgard, 1991, Long-lasting potentiation and epileptiform activity produced by GABAB receptor activation in the dentate gyrus of rat hippocampal slice, J. Neurosci., 11, 1198, 10.1523/JNEUROSCI.11-05-01198.1991 Echauz, 2001, Long-term validation of detection algorithms suitable for an implantable device, Epilepsia, 42, 35 Esteller, 2002, Real-time simulation of a seizure-detection system suitable for an implantable device, Epilepsia, 43, 46 Franaszczuk, 1998, Time–frequency analysis using the matching pursuit algorithm applied to seizures originating from the mesial temporal lobe, Electroencephalogr. Clin. Neurophysiol., 106, 513, 10.1016/S0013-4694(98)00024-8 Franaszczuk, 1999, Seizure termination in neural network models of neocortical neurons, Epilepsia, 40, 12 Franaszczuk, 2000, External stimuli terminate bursting in neural network model, Epilepsia, 41, 36 Ghai, 2000, Effects of applied electric fields on low-calcium epileptiform activity in the CA1 region of rat hippocampal slices, J. Neurophysiol., 84, 274, 10.1152/jn.2000.84.1.274 Gluckman, 2001, Adaptive electric field control of epileptic seizures, J. Neurosci., 21, 590, 10.1523/JNEUROSCI.21-02-00590.2001 Gotman, 1999, Automatic detection of seizures and spikes, J. Clin. Neurophysiol., 16, 130, 10.1097/00004691-199903000-00005 Jensen, 1999, Activity-dependent depression of GABAergic IPSCs in cultured hippocampal neurons, J. Neurophysiol., 82, 42, 10.1152/jn.1999.82.1.42 Karceski, 2000, Termination of afterdischarges with electrical stimulation during cortical mapping, Epilepsia, 41, 202 Kudela, 1997, A simple computer model of excitable synaptically connected neurons, Biol. Cybern., 77, 71, 10.1007/s004220050368 Kudela, 1999, Model of the propagation of synchronous firing in a reduced neuron network, Neurocomputing, 26–27, 411, 10.1016/S0925-2312(99)00046-6 Kudela, 2002, External termination of recurrent bursting in a model of connected local neural sub-networks, Neurocomputing, 44–46, 897, 10.1016/S0925-2312(02)00489-7 Labar, 1999, Vagus nerve stimulation for medication-resistant generalized epilepsy. E04 VNS Study Group, Neurology, 52, 1510, 10.1212/WNL.52.7.1510 Lancaster, 1991, Calcium activates two types of potassium channels in rat hippocampal neurons in culture, J. Neurosci., 11, 23, 10.1523/JNEUROSCI.11-01-00023.1991 Lesser, 2000, Detection of epileptiform activity using artificial neural networks, Adv. Neurol., 84, 307 Lesser, 1999, Brief bursts of pulse stimulation terminate afterdischarges caused by cortical stimulation, Neurology, 53, 2073, 10.1212/WNL.53.9.2073 Morris, 1999, Long-term treatment with vagus nerve stimulation in patients with refractory epilepsy. The Vagus Nerve Stimulation Study Group E01-E05, Neurology, 53, 1731, 10.1212/WNL.53.8.1731 Rinzel, 1985, Excitation dynamics: insights from simplified membrane models, Fed. Proc., 44, 2944 Stein, 2000, An automated drug delivery system for focal epilepsy, Epilepsy Res., 39, 103, 10.1016/S0920-1211(99)00107-2 Theodore, 1983, Complex partial seizures: clinical characteristics and differential diagnosis, Neurology, 33, 1115, 10.1212/WNL.33.9.11515 Thompson, 1989, Activity-dependent disinhibition. I. Repetitive stimulation reduces IPSP driving force and conductance in the hippocampus in vitro, J. Neurophysiol., 61, 501, 10.1152/jn.1989.61.3.501 Thompson, 1989, Activity-dependent disinhibition. III. Desensitization and GABAB receptor-mediated presynaptic inhibition in the hippocampus in vitro, J. Neurophysiol., 61, 524, 10.1152/jn.1989.61.3.524 Traub, 1981, Penicillin-induced epileptiform activity in the hippocampal slice: a model of synchronization of CA3 pyramidal cell bursting, Neuroscience, 6, 223, 10.1016/0306-4522(81)90058-0 Traub, 1982, Cellular mechanism of neuronal synchronization in epilepsy, Science, 216, 745, 10.1126/science.7079735 Traub, 1991, Multiple modes of neuronal population activity emerge after modifying specific synapses in a model of the CA3 region of the hippocampus, Ann. N.Y. Acad. Sci., 627, 277, 10.1111/j.1749-6632.1991.tb25931.x Velasco, 1995, Electrical stimulation of the centromedian thalamic nucleus in control of seizures: long-term studies, Epilepsia, 36, 63, 10.1111/j.1528-1157.1995.tb01667.x Velasco, 2000, Predictors in the treatment of difficult-to-control seizures by electrical stimulation of the centromedian thalamic nucleus, Neurosurgery, 47, 295, 10.1097/00006123-200008000-00007 Warren, 1998, Effects of applied currents on spontaneous epileptiform activity induced by low calcium in the rat hippocampus, Brain Res., 806, 186, 10.1016/S0006-8993(98)00723-9