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Liu Y, Milton J, Campbell SA (2019) Outgrowing seizures in Childhood Absence Epilepsy: time delays and bistability. J Comput Neurosci [PubMed]

   Thalamocortical loop with delay for investigation of absence epilepsy (Liu et al 2019)

References and models cited by this paper

References and models that cite this paper

Arakaki T, Mahon S, Charpier S, Leblois A, Hansel D (2016) The Role of Striatal Feedforward Inhibition in the Maintenance of Absence Seizures. J Neurosci 36:9618-32 [Journal] [PubMed]
Beenhakker MP, Huguenard JR (2009) Neurons that fire together also conspire together: is normal sleep circuitry hijacked to generate epilepsy? Neuron 62:612-32 [Journal] [PubMed]
Berkovic SF (1993) Childhood absence epilepsy and juvenile absence epilepsy The treatment of epilepsy: principles and practice, Wyllie E, ed. pp.547
Bouwman BM, Suffczynski P, Lopes da Silva FH, Maris E, van Rijn CM (2007) GABAergic mechanisms in absence epilepsy: a computational model of absence epilepsy simulating spike and wave discharges after vigabatrin in WAG/Rij rats. Eur J Neurosci 25:2783-90 [Journal] [PubMed]
Breakspear M, Roberts JA, Terry JR, Rodrigues S, Mahant N, Robinson PA (2006) A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cereb Cortex 16:1296-313 [Journal] [PubMed]
Carrillo RR, Ros E, Tolu S, Nieus T, D'Angelo E (2008) Event-driven simulation of cerebellar granule cells. Biosystems 94:10-7 [Journal] [PubMed]
Chen M, Guo D, Xia Y, Yao D (2017) Control of Absence Seizures by the Thalamic Feed-Forward Inhibition. Front Comput Neurosci 11:31 [Journal] [PubMed]
Chen Y, Parker WD, Wang K (2014) The role of T-type calcium channel genes in absence seizures. Front Neurol 5:45 [Journal] [PubMed]
Chkhenkeli SA,Milton J (2003) Dynamic epileptic systems versus static epileptic foci Disease, epilepsy as a dynamic, Milton J:Jung P, ed. pp.25
Crick F (1984) Function of the thalamic reticular complex: the searchlight hypothesis. Proc Natl Acad Sci U S A 81:4586-90 [PubMed]
Crunelli V, Leresche N (2002) Childhood absence epilepsy: genes, channels, neurons and networks. Nat Rev Neurosci 3:371-82 [Journal] [PubMed]
Depaulis A, Charpier S (2018) Pathophysiology of absence epilepsy: Insights from genetic models. Neurosci Lett 667:53-65 [Journal] [PubMed]
Depaulis A, David O, Charpier S (2016) The genetic absence epilepsy rat from Strasbourg as a model to decipher the neuronal and network mechanisms of generalized idiopathic epilepsies. J Neurosci Methods 260:159-74 [Journal] [PubMed]
Destexhe A (1998) Spike-and-wave oscillations based on the properties of GABAB receptors. J Neurosci 18:9099-111 [PubMed]
Destexhe A (2008) Cortico-thalamic feedback: a key to explain absence seizures Computational Neuroscience in Epilepsy, Soltesz I:Staley K, ed. pp.184
Destexhe A, Babloyantz A (1993) A model of the inward current Ih and its possible role in thalamocortical oscillations. Neuroreport 4:223-6 [PubMed]
Destexhe A, Babloyantz A, Sejnowski TJ (1993) Ionic mechanisms for intrinsic slow oscillations in thalamic relay neurons. Biophys J 65:1538-52 [Journal] [PubMed]
   Thalamocortical Relay cell under current clamp in high-conductance state (Zeldenrust et al 2018) [Model]
Destexhe A, Contreras D, Sejnowski TJ, Steriade M (1994) Modeling the control of reticular thalamic oscillations by neuromodulators. Neuroreport 5:2217-20 [PubMed]
Destexhe A, Contreras D, Steriade M (1998) Mechanisms underlying the synchronizing action of corticothalamic feedback through inhibition of thalamic relay cells. J Neurophysiol 79:999-1016 [Journal] [PubMed]
   Pyramidal Neuron: Deep, Thalamic Relay and Reticular, Interneuron (Destexhe et al 1998, 2001) [Model]
Destexhe A, Mainen ZF, Sejnowski TJ (1998) Kinetic models of synaptic transmission Methods In Neuronal Modeling, Koch C:Segev I, ed. pp.1
   Kinetic synaptic models applicable to building networks (Destexhe et al 1998) [Model]
Driver RD,Sasser DW,Slater ML (1973) The equation x (t ) = ax(t ) + bx(t - t ) with small delay American Mathematics Monthly 80:990-995
Eissa TL, Dijkstra K, Brune C, Emerson RG, van Putten MJAM, Goodman RR, McKhann GM, Schevon CA, van Drongelen W, van Gils SA (2017) Cross-scale effects of neural interactions during human neocortical seizure activity. Proc Natl Acad Sci U S A 114:10761-10766 [Journal] [PubMed]
Ermentrout B (2002) Simulating, analyzing, and animating dynamical systems: a guide to XPPAUT for researchers and students
Ermentrout B,Terman DH (2010) Mathematical foundations of neuroscience
Fan D, Wang Q, Su J, Xi H (2017) Stimulus-induced transitions between spike-wave discharges and spindles with the modulation of thalamic reticular nucleus. J Comput Neurosci 43:203-225 [Journal] [PubMed]
Foss J, Longtin A, Mensour B, Milton J (1996) Multistability and delayed recurrent loops. Phys Rev Lett 76:708-711 [Journal] [PubMed]
Foss J, Milton J (2000) Multistability in recurrent neural loops arising from delay. J Neurophysiol 84:975-85 [Journal] [PubMed]
Foss J, Moss F, Milton J (1997) Noise, multistability, and delayed recurrent loops Phys Rev E 55:4536-4543
Gupta D, Ossenblok P, van Luijtelaar G (2011) Space-time network connectivity and cortical activations preceding spike wave discharges in human absence epilepsy: a MEG study. Med Biol Eng Comput 49:555-65 [Journal] [PubMed]
Hashemi M, Hutt A, Hight D, Sleigh J (2017) Anesthetic action on the transmission delay between cortex and thalamus explains the beta-buzz observed under propofol anesthesia. PLoS One 12:e0179286 [Journal] [PubMed]
Hogan T, Sundaram M (1989) Rhythmic auditory stimulation in generalized epilepsy. Electroencephalogr Clin Neurophysiol 72:455-8 [PubMed]
Hörtnagl H, Tasan RO, Wieselthaler A, Kirchmair E, Sieghart W, Sperk G (2013) Patterns of mRNA and protein expression for 12 GABAA receptor subunits in the mouse brain. Neuroscience 236:345-72 [Journal] [PubMed]
Houssaini KE,Ivanov AI,Bernard C,Jirsa VK (2015) Seizures, refractory status epilepticus, and depolarization block as endogeneous brain activities Physical Review E 91:010701
Huguenard JR, Prince DA (1991) Slow inactivation of a TEA-sensitive K current in acutely isolated rat thalamic relay neurons. J Neurophysiol 66:1316-28 [Journal] [PubMed]
Huguenard JR, Prince DA (1992) A novel T-type current underlies prolonged Ca(2+)-dependent burst firing in GABAergic neurons of rat thalamic reticular nucleus. J Neurosci 12:3804-17 [PubMed]
Insperger T (2015) On the approximation of delayed systems by Taylor series expansion Journal Of Computational And Nonlinear Dynamics 10:024503
Jirsa VK, Proix T, Perdikis D, Woodman MM, Wang H, Gonzalez-Martinez J, Bernard C, Bénar C, Guye M, Chauvel P, Bartolomei F (2017) The Virtual Epileptic Patient: Individualized whole-brain models of epilepsy spread. Neuroimage 145:377-388 [Journal] [PubMed]
Jirsa VK, Stacey WC, Quilichini PP, Ivanov AI, Bernard C (2014) On the nature of seizure dynamics. Brain 137:2210-30 [Journal] [PubMed]
Koepp MJ, Caciagli L, Pressler RM, Lehnertz K, Beniczky S (2016) Reflex seizures, traits, and epilepsies: from physiology to pathology. Lancet Neurol 15:92-105 [Journal] [PubMed]
Kostopoulos GK (2000) Spike-and-wave discharges of absence seizures as a transformation of sleep spindles: the continuing development of a hypothesis. Clin Neurophysiol 111 Suppl 2:S27-38 [PubMed]
Kreindler A (1965) Experimental epilepsy. Prog Brain Res 19:1-208 [PubMed]
Kurzweil J (1971) Small delays don't matter Proceedings of the symposium on differential equations and dynamical systems, lecture notes in mathematics, Chillingworth D, ed. pp.47
Landisman CE, Long MA, Beierlein M, Deans MR, Paul DL, Connors BW (2002) Electrical synapses in the thalamic reticular nucleus. J Neurosci 22:1002-9 [PubMed]
Lopes da Silva F, Blanes W, Kalitzin SN, Parra J, Suffczynski P, Velis DN (2003) Epilepsies as dynamical diseases of brain systems: basic models of the transition between normal and epileptic activity. Epilepsia 44 Suppl 12:72-83 [PubMed]
Lopes da Silva FH, Blanes W, Kalitzin SN, Parra J, Suffczynski P, Velis DN (2003) Dynamical diseases of brain systems: different routes to epileptic seizures. IEEE Trans Biomed Eng 50:540-8 [Journal] [PubMed]
Ma J, Wu J (2007) Multistability in spiking neuron models of delayed recurrent inhibitory loops. Neural Comput 19:2124-48 [Journal] [PubMed]
Mak-McCully RA, Rolland M, Sargsyan A, Gonzalez C, Magnin M, Chauvel P, Rey M, Bastuji H, Halgren E (2017) Coordination of cortical and thalamic activity during non-REM sleep in humans. Nat Commun 8:15499 [Journal] [PubMed]
Maljevic S, Krampfl K, Cobilanschi J, Tilgen N, Beyer S, Weber YG, Schlesinger F, Ursu D, Melzer W, Cossette P, Bufler J, Lerche H, Heils A (2006) A mutation in the GABA(A) receptor alpha(1)-subunit is associated with absence epilepsy. Ann Neurol 59:983-7 [Journal] [PubMed]
McCormick DA, Wang Z, Huguenard J (1993) Neurotransmitter control of neocortical neuronal activity and excitability. Cereb Cortex 3:387-98 [PubMed]
McDougal RA, Morse TM, Carnevale T, Marenco L, Wang R, Migliore M, Miller PL, Shepherd GM, Hines ML (2017) Twenty years of ModelDB and beyond: building essential modeling tools for the future of neuroscience. J Comput Neurosci 42:1-10 [Journal] [PubMed]
McKusick VA (2017) Mendelian inheritance in man: a catalogue of human genes and genetic disorders [Journal]
Meeren HK, Pijn JP, Van Luijtelaar EL, Coenen AM, Lopes da Silva FH (2002) Cortical focus drives widespread corticothalamic networks during spontaneous absence seizures in rats. J Neurosci 22:1480-95 [PubMed]
Milanowski P, Suffczynski P (2016) Seizures Start without Common Signatures of Critical Transition. Int J Neural Syst 26:1650053 [Journal] [PubMed]
Milton J, Jung P (2003) Epilepsy as a Dynamic Disease
Milton J,Ohira T (2014) Mathematics as a laboratory tool: dynamics, delays and noise
Milton J,Wu J,Campbell SA,Be´lair L (2017) Outgrowing neurological diseases: Microcircuits, conduction delay and dynamics diseases Computational neurology - computational psychiatry: why and how?, Erdi P:Bhattacharya S:Cochran A, ed. pp.11
Milton JG (2000) Epilepsy and the multistable nervous system Self-organized biological dynamics and nonlinear control by external stimuli, Walleczek J, ed. pp.374
Milton JG, Gotman J, Remillard GM, Andermann F (1987) Timing of seizure recurrence in adult epileptic patients: a statistical analysis. Epilepsia 28:471-8 [PubMed]
Milton JG,Chkhenkeli SA,Towle VL,McIntosh AR (2007) Brain connectivity and the spread of epileptic seizures Handbook of brain connectivity :477-503
Nagaraj V, Lee ST, Krook-Magnuson E, Soltesz I, Benquet P, Irazoqui PP, Netoff TI (2015) Future of seizure prediction and intervention: closing the loop. J Clin Neurophysiol 32:194-206 [Journal] [PubMed]
Osorio I, Frei MG, Sornette D, Milton J, Lai YC (2010) Epileptic seizures: Quakes of the brain? Phys Rev E Stat Nonlin Soft Matter Phys 82:021919 [Journal] [PubMed]
Osorio I,Zaveri HP,Frei MG,Arthurs S (2011) Epilepsy: the intersection of neurosciences, biology, mathematics, engineering and physics
Paz JT, Bryant AS, Peng K, Fenno L, Yizhar O, Frankel WN, Deisseroth K, Huguenard JR (2011) A new mode of corticothalamic transmission revealed in the Gria4(-/-) model of absence epilepsy. Nat Neurosci 14:1167-73 [Journal] [PubMed]
Penry JK, Porter RJ, Dreifuss RE (1975) Simultaneous recording of absence seizures with video tape and electroencephalography. A study of 374 seizures in 48 patients. Brain 98:427-40 [PubMed]
Polack PO, Guillemain I, Hu E, Deransart C, Depaulis A, Charpier S (2007) Deep layer somatosensory cortical neurons initiate spike-and-wave discharges in a genetic model of absence seizures. J Neurosci 27:6590-9 [Journal] [PubMed]
Powell KL, Cain SM, Ng C, Sirdesai S, David LS, Kyi M, Garcia E, Tyson JR, Reid CA, Bahlo M, Foote SJ, Snutch TP, O'Brien TJ (2009) A Cav3.2 T-type calcium channel point mutation has splice-variant-specific effects on function and segregates with seizure expression in a polygenic rat model of absence epilepsy. J Neurosci 29:371-80 [Journal] [PubMed]
Quan A, Osorio I, Ohira T, Milton J (2011) Vulnerability to paroxysmal oscillations in delayed neural networks: a basis for nocturnal frontal lobe epilepsy? Chaos 21:047512 [Journal] [PubMed]
Roberts JA, Robinson PA (2008) Modeling absence seizure dynamics: implications for basic mechanisms and measurement of thalamocortical and corticothalamic latencies. J Theor Biol 253:189-201 [Journal] [PubMed]
Robinson PA, Rennie CJ, Rowe DL (2002) Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Phys Rev E Stat Nonlin Soft Matter Phys 65:041924 [Journal] [PubMed]
Salami M, Itami C, Tsumoto T, Kimura F (2003) Change of conduction velocity by regional myelination yields constant latency irrespective of distance between thalamus and cortex. Proc Natl Acad Sci U S A 100:6174-9 [Journal] [PubMed]
Skinner FK, Bazzazi H, Campbell SA (2005) Two-cell to N-cell heterogeneous, inhibitory networks: precise linking of multistable and coherent properties. J Comput Neurosci 18:343-52 [Journal] [PubMed]
Soltesz I, Staley K (2008) Computational neuroscience in epilepsy
Suffczynski P, Kalitzin S, Lopes Da Silva FH (2004) Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. Neuroscience 126:467-84 [Journal] [PubMed]
   Thalamocortical model of spike and wave seizures (Suffczynski et al. 2004) [Model]
Swadlow HA,Waxman SG (2012) Axonal conduction delays Scholarpedia 7(6):1451
Tenney JR, Fujiwara H, Horn PS, Jacobson SE, Glauser TA, Rose DF (2013) Focal corticothalamic sources during generalized absence seizures: a MEG study. Epilepsy Res 106:113-22 [Journal] [PubMed]
Traub RD, Miles R (1991) Neuronal Networks Of The Hippocampus
Tsakiridou E, Bertollini L, de Curtis M, Avanzini G, Pape HC (1995) Selective increase in T-type calcium conductance of reticular thalamic neurons in a rat model of absence epilepsy. J Neurosci 15:3110-7 [PubMed]
van de Kamp C, Gawthrop PJ, Gollee H, Loram ID (2013) Refractoriness in sustained visuo-manual control: is the refractory duration intrinsic or does it depend on external system properties? PLoS Comput Biol 9:e1002843 [Journal] [PubMed]
VINCE MA (1948) The intermittency of control movements and the psychological refractory period. Br J Psychol Gen Sect 38:149-57 [PubMed]
Wallace RH, Marini C, Petrou S, Harkin LA, Bowser DN, Panchal RG, Williams DA, Sutherland GR, Mulley JC, Scheffer IE, Berkovic SF (2001) Mutant GABA(A) receptor gamma2-subunit in childhood absence epilepsy and febrile seizures. Nat Genet 28:49-52 [Journal] [PubMed]
Wang XJ, Rinzel J, Rogawski MA (1991) A model of the T-type calcium current and the low-threshold spike in thalamic neurons. J Neurophysiol 66:839-50 [Journal] [PubMed]
   T-type Ca current in thalamic neurons (Wang et al 1991) [Model]
Weiss SA, Banks GP, McKhann GM, Goodman RR, Emerson RG, Trevelyan AJ, Schevon CA (2013) Ictal high frequency oscillations distinguish two types of seizure territories in humans. Brain 136:3796-808 [Journal] [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 50:2538-48 [Journal] [PubMed]
WILLIAMS D (1953) A study of thalamic and cortical rhythms in petit mal. Brain 76:50-69 [PubMed]
Yang DP, Robinson PA (2017) Critical dynamics of Hopf bifurcations in the corticothalamic system: Transitions from normal arousal states to epileptic seizures. Phys Rev E 95:042410 [Journal] [PubMed]
Zhou C, Ding L, Deel ME, Ferrick EA, Emeson RB, Gallagher MJ (2015) Altered intrathalamic GABAA neurotransmission in a mouse model of a human genetic absence epilepsy syndrome. Neurobiol Dis 73:407-17 [Journal] [PubMed]
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