Allen C, Stevens CF. (1994). An evaluation of causes for unreliability of synaptic transmission. Proceedings of the National Academy of Sciences of the United States of America. 91 [PubMed]
Bar-Gad I, Morris G, Bergman H. (2003). Information processing, dimensionality reduction and reinforcement learning in the basal ganglia. Progress in neurobiology. 71 [PubMed]
Biraben A et al. (2004). PET evidence for a role of the basal ganglia in patients with ring chromosome 20 epilepsy. Neurology. 63 [PubMed]
Bouma PA, Westendorp RG, van Dijk JG, Peters AC, Brouwer OF. (1996). The outcome of absence epilepsy: a meta-analysis. Neurology. 47 [PubMed]
Breakspear M et al. (2006). A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cerebral cortex (New York, N.Y. : 1991). 16 [PubMed]
Butcher JC. (2003). Numerical Methods for Ordinary Differential Equations.
Coenen AM, Van Luijtelaar EL. (2003). Genetic animal models for absence epilepsy: a review of the WAG/Rij strain of rats. Behavior genetics. 33 [PubMed]
Crunelli V, Leresche N. (2002). Childhood absence epilepsy: genes, channels, neurons and networks. Nature reviews. Neuroscience. 3 [PubMed]
Deransart C, Depaulis A. (2002). The control of seizures by the basal ganglia? A review of experimental data. Epileptic disorders : international epilepsy journal with videotape. 4 Suppl 3 [PubMed]
Deransart C, Vercueil L, Marescaux C, Depaulis A. (1998). The role of basal ganglia in the control of generalized absence seizures. Epilepsy research. 32 [PubMed]
Destexhe A. (1998). Spike-and-wave oscillations based on the properties of GABAB receptors. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]
Destexhe A. (1999). Can GABAA conductances explain the fast oscillation frequency of absence seizures in rodents? The European journal of neuroscience. 11 [PubMed]
Destexhe A. (2008). Cortico-thalamic feedback: a key to explain absence seizures Computational Neuroscience in Epilepsy.
Di Chiara G, Porceddu ML, Morelli M, Mulas ML, Gessa GL. (1979). Evidence for a GABAergic projection from the substantia nigra to the ventromedial thalamus and to the superior colliculus of the rat. Brain research. 176 [PubMed]
Ermentrout GB. (2002). Simulating, Analyzing, and Animating Dynamical System: A Guide to XPPAUT for Researchers and Students Society for Industrial and Applied Mathematics (SIAM).
Freyer F et al. (2011). Biophysical mechanisms of multistability in resting-state cortical rhythms. The Journal of neuroscience : the official journal of the Society for Neuroscience. 31 [PubMed]
Friston KJ, Harrison L, Penny W. (2003). Dynamic causal modelling. NeuroImage. 19 [PubMed]
Fröhlich F, Sejnowski TJ, Bazhenov M. (2010). Network bistability mediates spontaneous transitions between normal and pathological brain states. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Gatev P, Wichmann T. (2009). Interactions between cortical rhythms and spiking activity of single basal ganglia neurons in the normal and parkinsonian state. Cerebral cortex (New York, N.Y. : 1991). 19 [PubMed]
Goldman MS, Maldonado P, Abbott LF. (2002). Redundancy reduction and sustained firing with stochastic depressing synapses. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]
Goodfellow M, Schindler K, Baier G. (2011). Intermittent spike-wave dynamics in a heterogeneous, spatially extended neural mass model. NeuroImage. 55 [PubMed]
Groenewegen HJ. (2003). The basal ganglia and motor control. Neural plasticity. 10 [PubMed]
Gulcebi MI et al. (2012). Topographical connections of the substantia nigra pars reticulata to higher-order thalamic nuclei in the rat. Brain research bulletin. 87 [PubMed]
Guo D, Li C. (2011). Signal propagation in feedforward neuronal networks with unreliable synapses. Journal of computational neuroscience. 30 [PubMed]
Guo D, Li C. (2012). Stochastic resonance in Hodgkin-Huxley neuron induced by unreliable synaptic transmission. Journal of theoretical biology. 308 [PubMed]
Haber SN, Calzavara R. (2009). The cortico-basal ganglia integrative network: the role of the thalamus. Brain research bulletin. 78 [PubMed]
Hosford DA et al. (1992). The role of GABAB receptor activation in absence seizures of lethargic (lh/lh) mice. Science (New York, N.Y.). 257 [PubMed]
Ilie A, Raimondo JV, Akerman CJ. (2012). Adenosine release during seizures attenuates GABAA receptor-mediated depolarization. The Journal of neuroscience : the official journal of the Society for Neuroscience. 32 [PubMed]
Jirsa VK, Haken H. (1996). Field Theory of Electromagnetic Brain Activity. Physical review letters. 77 [PubMed]
Kase D, Inoue T, Imoto K. (2012). Roles of the subthalamic nucleus and subthalamic HCN channels in absence seizures. Journal of neurophysiology. 107 [PubMed]
Krampfl K et al. (2005). Molecular analysis of the A322D mutation in the GABA receptor alpha-subunit causing juvenile myoclonic epilepsy. The European journal of neuroscience. 22 [PubMed]
Kumar A, Cardanobile S, Rotter S, Aertsen A. (2011). The role of inhibition in generating and controlling Parkinson's disease oscillations in the Basal Ganglia. Frontiers in systems neuroscience. 5 [PubMed]
Lopes da Silva F et al. (2003). Epilepsies as dynamical diseases of brain systems: basic models of the transition between normal and epileptic activity. Epilepsia. 44 Suppl 12 [PubMed]
Luo C et al. (2012). Resting state basal ganglia network in idiopathic generalized epilepsy. Human brain mapping. 33 [PubMed]
Lytton WW. (2008). Computer modelling of epilepsy. Nature reviews. Neuroscience. 9 [PubMed]
Marreiros AC, Kiebel SJ, Friston KJ. (2010). A dynamic causal model study of neuronal population dynamics. NeuroImage. 51 [PubMed]
Marten F, Rodrigues S, Benjamin O, Richardson MP, Terry JR. (2009). Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 367 [PubMed]
Nail-Boucherie K, Lê-Pham BT, Marescaux C, Depaulis A. (2002). Suppression of absence seizures by electrical and pharmacological activation of the caudal superior colliculus in a genetic model of absence epilepsy in the rat. Experimental neurology. 177 [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]
Packard MG, Knowlton BJ. (2002). Learning and memory functions of the Basal Ganglia. Annual review of neuroscience. 25 [PubMed]
Panayiotopoulos CP. (1997). Absence epilepsies Epilepsy: a comprehensive textbook.
Paz JT, Chavez M, Saillet S, Deniau JM, Charpier S. (2007). Activity of ventral medial thalamic neurons during absence seizures and modulation of cortical paroxysms by the nigrothalamic pathway. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]
Paz JT, Deniau JM, Charpier S. (2005). Rhythmic bursting in the cortico-subthalamo-pallidal network during spontaneous genetically determined spike and wave discharges. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Perry MS, Bailey LJ, Kotecha AC, Malik SI, Hernandez AW. (2012). Amantadine for the treatment of refractory absence seizures in children. Pediatric neurology. 46 [PubMed]
Pinotsis DA, Moran RJ, Friston KJ. (2012). Dynamic causal modeling with neural fields. NeuroImage. 59 [PubMed]
Ponten SC, Bartolomei F, Stam CJ. (2007). Small-world networks and epilepsy: graph theoretical analysis of intracerebrally recorded mesial temporal lobe seizures. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 118 [PubMed]
Postuma RB, Dagher A. (2006). Basal ganglia functional connectivity based on a meta-analysis of 126 positron emission tomography and functional magnetic resonance imaging publications. Cerebral cortex (New York, N.Y. : 1991). 16 [PubMed]
Raastad M, Storm JF, Andersen P. (1992). Putative Single Quantum and Single Fibre Excitatory Postsynaptic Currents Show Similar Amplitude Range and Variability in Rat Hippocampal Slices. The European journal of neuroscience. 4 [PubMed]
Robinson PA, Rennie CJ, Rowe DL. (2002). Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Physical review. E, Statistical, nonlinear, and soft matter physics. 65 [PubMed]
Robinson PA, Rennie CJ, Rowe DL, O'Connor SC. (2004). Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Human brain mapping. 23 [PubMed]
Robinson PA et al. (2001). Prediction of electroencephalographic spectra from neurophysiology. Physical review. E, Statistical, nonlinear, and soft matter physics. 63 [PubMed]
Rosenmund C, Clements JD, Westbrook GL. (1993). Nonuniform probability of glutamate release at a hippocampal synapse. Science (New York, N.Y.). 262 [PubMed]
Sejnowski TJ, Destexhe A. (2001). Thalamocortical Assemblies-How Ion Channels, Single Neurons and large-Scale Networks Organize Sleep.
Stocco A, Lebiere C, Anderson JR. (2010). Conditional routing of information to the cortex: a model of the basal ganglia's role in cognitive coordination. Psychological review. 117 [PubMed]
Suffczynski P, Kalitzin S, Lopes Da Silva FH. (2004). Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. Neuroscience. 126 [PubMed]
Taylor PN, Goodfellow M, Wang Y, Baier G. (2013). Towards a large-scale model of patient-specific epileptic spike-wave discharges. Biological cybernetics. 107 [PubMed]
Timofeev I, Steriade M. (2004). Neocortical seizures: initiation, development and cessation. Neuroscience. 123 [PubMed]
Vercueil L et al. (1998). High-frequency stimulation of the subthalamic nucleus suppresses absence seizures in the rat: comparison with neurotoxic lesions. Epilepsy research. 31 [PubMed]
Vergnes M, Marescaux C. (2004). Genetic Absence Epilepsy in Rats from Strasbourg (GAERS). Ital J Neurol Sci. 16
Volman V, Perc M, Bazhenov M. (2011). Gap junctions and epileptic seizures--two sides of the same coin? PloS one. 6 [PubMed]
Wang Q, Chen G, Perc M. (2011). Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PloS one. 6 [PubMed]
Wilson HR, Cowan JD. (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical journal. 12 [PubMed]
Wilson HR, Cowan JD. (1973). A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik. 13 [PubMed]
Wright JJ, Robinson PA, Rennie CJ. (1997). Propagation and stability of waves of electrical activity in the cerebral cortex Phys Rev E. 56
Wright JJ, Robinson PA, Rennie CJ, Bourke PD. (1998). Steady states and global dynamics of electrical activity in the cerebral cortex Phys Rev E. 58
van Albada SJ, Gray RT, Drysdale PM, Robinson PA. (2009). Mean-field modeling of the basal ganglia-thalamocortical system. II Dynamics of parkinsonian oscillations. Journal of theoretical biology. 257 [PubMed]
van Albada SJ, Robinson PA. (2009). Mean-field modeling of the basal ganglia-thalamocortical system. I Firing rates in healthy and parkinsonian states. Journal of theoretical biology. 257 [PubMed]
Chen M et al. (2015). Critical Roles of the Direct GABAergic Pallido-cortical Pathway in Controlling Absence Seizures. PLoS computational biology. 11 [PubMed]
Hu B et al. (2017). Control of absence epilepsy seizures in specific relay nuclei of thalamus. Journal of theoretical biology. 435 [PubMed]
Abdi A et al. (2015). Prototypic and arkypallidal neurons in the dopamine-intact external globus pallidus. The Journal of neuroscience : the official journal of the Society for Neuroscience. 35 [PubMed]
Albin RL, Young AB, Penney JB. (1989). The functional anatomy of basal ganglia disorders. Trends in neurosciences. 12 [PubMed]
Bahuguna J, Aertsen A, Kumar A. (2015). Existence and control of Go/No-Go decision transition threshold in the striatum. PLoS computational biology. 11 [PubMed]
Benhamou L, Bronfeld M, Bar-Gad I, Cohen D. (2012). Globus Pallidus external segment neuron classification in freely moving rats: a comparison to primates. PloS one. 7 [PubMed]
Blumenfeld H. (2005). Cellular and network mechanisms of spike-wave seizures. Epilepsia. 46 Suppl 9 [PubMed]
Bolam JP, Hanley JJ, Booth PA, Bevan MD. (2000). Synaptic organisation of the basal ganglia. Journal of anatomy. 196 ( Pt 4) [PubMed]
Breakspear M et al. (2006). A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cerebral cortex (New York, N.Y. : 1991). 16 [PubMed]
Brown P. (2007). Abnormal oscillatory synchronisation in the motor system leads to impaired movement. Current opinion in neurobiology. 17 [PubMed]
Brown P, Williams D. (2005). Basal ganglia local field potential activity: character and functional significance in the human. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 116 [PubMed]
Chen M et al. (2014). Bidirectional control of absence seizures by the basal ganglia: a computational evidence. PLoS computational biology. 10 [PubMed]
Chen MC et al. (2015). Identification of a direct GABAergic pallidocortical pathway in rodents. The European journal of neuroscience. 41 [PubMed]
Coenen AM, Van Luijtelaar EL. (2003). Genetic animal models for absence epilepsy: a review of the WAG/Rij strain of rats. Behavior genetics. 33 [PubMed]
Crunelli V, Leresche N. (2002). Childhood absence epilepsy: genes, channels, neurons and networks. Nature reviews. Neuroscience. 3 [PubMed]
Deco G, Kringelbach ML. (2014). Great expectations: using whole-brain computational connectomics for understanding neuropsychiatric disorders. Neuron. 84 [PubMed]
Deco G, Tononi G, Boly M, Kringelbach ML. (2015). Rethinking segregation and integration: contributions of whole-brain modelling. Nature reviews. Neuroscience. 16 [PubMed]
Depaulis A, Moshé SL. (2002). The basal ganglia and the epilepsies: translating experimental concepts to new therapies. Epileptic disorders : international epilepsy journal with videotape. 4 Suppl 3 [PubMed]
Deransart C, Depaulis A. (2002). The control of seizures by the basal ganglia? A review of experimental data. Epileptic disorders : international epilepsy journal with videotape. 4 Suppl 3 [PubMed]
Deransart C, Vercueil L, Marescaux C, Depaulis A. (1998). The role of basal ganglia in the control of generalized absence seizures. Epilepsy research. 32 [PubMed]
Destexhe A. (1998). Spike-and-wave oscillations based on the properties of GABAB receptors. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]
Dodson PD et al. (2015). Distinct developmental origins manifest in the specialized encoding of movement by adult neurons of the external globus pallidus. Neuron. 86 [PubMed]
Durón RM et al. (2005). Seizures of idiopathic generalized epilepsies. Epilepsia. 46 Suppl 9 [PubMed]
Freyer F et al. (2011). Biophysical mechanisms of multistability in resting-state cortical rhythms. The Journal of neuroscience : the official journal of the Society for Neuroscience. 31 [PubMed]
Fuller PM, Sherman D, Pedersen NP, Saper CB, Lu J. (2011). Reassessment of the structural basis of the ascending arousal system. The Journal of comparative neurology. 519 [PubMed]
Gillies A, Willshaw D, Li Z. (2002). Subthalamic-pallidal interactions are critical in determining normal and abnormal functioning of the basal ganglia. Proceedings. Biological sciences. 269 [PubMed]
Gittis AH et al. (2014). New roles for the external globus pallidus in basal ganglia circuits and behavior. The Journal of neuroscience : the official journal of the Society for Neuroscience. 34 [PubMed]
Hu B, Guo D, Wang Q. (2015). Control of absence seizures induced by the pathways connected to SRN in corticothalamic system. Cognitive neurodynamics. 9 [PubMed]
Hu B, Wang Q. (2015). Controlling absence seizures by deep brain stimulus applied on substantia nigra pars reticulata and cortex Chaos Solitons Fract.. 80(0)
Hunt RF, Girskis KM, Rubenstein JL, Alvarez-Buylla A, Baraban SC. (2013). GABA progenitors grafted into the adult epileptic brain control seizures and abnormal behavior. Nature neuroscience. 16 [PubMed]
Jenkinson N, Brown P. (2011). New insights into the relationship between dopamine, beta oscillations and motor function. Trends in neurosciences. 34 [PubMed]
Kandel A, Buzsáki G. (1997). Cellular-synaptic generation of sleep spindles, spike-and-wave discharges, and evoked thalamocortical responses in the neocortex of the rat. The Journal of neuroscience : the official journal of the Society for Neuroscience. 17 [PubMed]
Kumar A, Cardanobile S, Rotter S, Aertsen A. (2011). The role of inhibition in generating and controlling Parkinson's disease oscillations in the Basal Ganglia. Frontiers in systems neuroscience. 5 [PubMed]
Luo C et al. (2012). Resting state basal ganglia network in idiopathic generalized epilepsy. Human brain mapping. 33 [PubMed]
Lytton WW. (2008). Computer modelling of epilepsy. Nature reviews. Neuroscience. 9 [PubMed]
Lüttjohann A, Schoffelen JM, van Luijtelaar G. (2014). Termination of ongoing spike-wave discharges investigated by cortico-thalamic network analyses. Neurobiology of disease. 70 [PubMed]
Lüttjohann A, van Luijtelaar G. (2013). Thalamic stimulation in absence epilepsy. Epilepsy research. 106 [PubMed]
Marescaux C, Vergnes M. (1995). Genetic Absence Epilepsy in Rats from Strasbourg (GAERS). Italian journal of neurological sciences. 16 [PubMed]
Marten F, Rodrigues S, Benjamin O, Richardson MP, Terry JR. (2009). Onset of polyspike complexes in a mean-field model of human electroencephalography and its application to absence epilepsy. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 367 [PubMed]
Mastro KJ, Bouchard RS, Holt HA, Gittis AH. (2014). Transgenic mouse lines subdivide external segment of the globus pallidus (GPe) neurons and reveal distinct GPe output pathways. The Journal of neuroscience : the official journal of the Society for Neuroscience. 34 [PubMed]
Moshé SL, Perucca E, Ryvlin P, Tomson T. (2015). Epilepsy: new advances. Lancet (London, England). 385 [PubMed]
Nóbrega-Pereira S et al. (2010). Origin and molecular specification of globus pallidus neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Parent A, Hazrati LN. (1995). Functional anatomy of the basal ganglia. I. The cortico-basal ganglia-thalamo-cortical loop. Brain research. Brain research reviews. 20 [PubMed]
Paz JT, Chavez M, Saillet S, Deniau JM, Charpier S. (2007). Activity of ventral medial thalamic neurons during absence seizures and modulation of cortical paroxysms by the nigrothalamic pathway. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]
Paz JT et al. (2013). Closed-loop optogenetic control of thalamus as a tool for interrupting seizures after cortical injury. Nature neuroscience. 16 [PubMed]
Paz JT, Deniau JM, Charpier S. (2005). Rhythmic bursting in the cortico-subthalamo-pallidal network during spontaneous genetically determined spike and wave discharges. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Qiu MH, Vetrivelan R, Fuller PM, Lu J. (2010). Basal ganglia control of sleep-wake behavior and cortical activation. The European journal of neuroscience. 31 [PubMed]
Rektor I, Kuba R, Brázdil M, Chrastina J. (2012). Do the basal ganglia inhibit seizure activity in temporal lobe epilepsy? Epilepsy & behavior : E&B. 25 [PubMed]
Robinson PA, Rennie CJ, Rowe DL. (2002). Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Physical review. E, Statistical, nonlinear, and soft matter physics. 65 [PubMed]
Roche-Labarbe N et al. (2008). NIRS-measured oxy- and deoxyhemoglobin changes associated with EEG spike-and-wave discharges in children. Epilepsia. 49 [PubMed]
Rossini PM et al. (2006). Conversion from mild cognitive impairment to Alzheimer's disease is predicted by sources and coherence of brain electroencephalography rhythms. Neuroscience. 143 [PubMed]
Saunders A et al. (2015). A direct GABAergic output from the basal ganglia to frontal cortex. Nature. 521 [PubMed]
Steriade M, Amzica F, Neckelmann D, Timofeev I. (1998). Spike-wave complexes and fast components of cortically generated seizures. II. Extra- and intracellular patterns. Journal of neurophysiology. 80 [PubMed]
Taylor PN et al. (2015). Optimal control based seizure abatement using patient derived connectivity. Frontiers in neuroscience. 9 [PubMed]
Theodore WH, Fisher RS. (2004). Brain stimulation for epilepsy. The Lancet. Neurology. 3 [PubMed]
Tolaymat A, Nayak A, Geyer JD, Geyer SK, Carney PR. (2015). Diagnosis and management of childhood epilepsy. Current problems in pediatric and adolescent health care. 45 [PubMed]
Vercueil L et al. (1998). High-frequency stimulation of the subthalamic nucleus suppresses absence seizures in the rat: comparison with neurotoxic lesions. Epilepsy research. 31 [PubMed]
Volman V, Perc M, Bazhenov M. (2011). Gap junctions and epileptic seizures--two sides of the same coin? PloS one. 6 [PubMed]
Wei W, Rubin JE, Wang XJ. (2015). Role of the indirect pathway of the basal ganglia in perceptual decision making. The Journal of neuroscience : the official journal of the Society for Neuroscience. 35 [PubMed]
Westmijse I, Ossenblok P, Gunning B, van Luijtelaar G. (2009). Onset and propagation of spike and slow wave discharges in human absence epilepsy: A MEG study. Epilepsia. 50 [PubMed]
Wright JJ, Robinson PA, Rennie CJ. (1997). Propagation and stability of waves of electrical activity in the cerebral cortex Phys Rev E. 56
Wright JJ, Robinson PA, Rennie CJ, Bourke PD. (1998). Steady states and global dynamics of electrical activity in the cerebral cortex Phys Rev E. 58
Zhang F et al. (2007). Multimodal fast optical interrogation of neural circuitry. Nature. 446 [PubMed]
van Albada SJ, Gray RT, Drysdale PM, Robinson PA. (2009). Mean-field modeling of the basal ganglia-thalamocortical system. II Dynamics of parkinsonian oscillations. Journal of theoretical biology. 257 [PubMed]
van Albada SJ, Robinson PA. (2009). Mean-field modeling of the basal ganglia-thalamocortical system. I Firing rates in healthy and parkinsonian states. Journal of theoretical biology. 257 [PubMed]
Hu B et al. (2017). Control of absence epilepsy seizures in specific relay nuclei of thalamus. Journal of theoretical biology. 435 [PubMed]