Skip to main content
SpringerLink
Log in

Stimulus-induced transitions between spike-wave discharges and spindles with the modulation of thalamic reticular nucleus

  • Published:
Journal of Computational Neuroscience Aims and scope Submit manuscript

Abstract

It is believed that thalamic reticular nucleus (TRN) controls spindles and spike-wave discharges (SWD) in seizure or sleeping processes. The dynamical mechanisms of spatiotemporal evolutions between these two types of activity, however, are not well understood. In light of this, we first use a single-compartment thalamocortical neural field model to investigate the effects of TRN on occurrence of SWD and its transition. Results show that the increasing inhibition from TRN to specific relay nuclei (SRN) can lead to the transition of system from SWD to slow-wave oscillation. Specially, it is shown that stimulations applied in the cortical neuronal populations can also initiate the SWD and slow-wave oscillation from the resting states under the typical inhibitory intensity from TRN to SRN. Then, we expand into a 3-compartment coupled thalamocortical model network in linear and circular structures, respectively, to explore the spatiotemporal evolutions of wave states in different compartments. The main results are: (i) for the open-ended model network, SWD induced by stimulus in the first compartment can be transformed into sleep-like slow UP-DOWN and spindle states as it propagates into the downstream compartments; (ii) for the close-ended model network, weak stimulations performed in the first compartment can result in the consistent experimentally observed spindle oscillations in all three compartments; in contrast, stronger periodic single-pulse stimulations applied in the first compartment can induce periodic transitions between SWD and spindle oscillations. Detailed investigations reveal that multi-attractor coexistence mechanism composed of SWD, spindles and background state underlies these state evolutions. What’s more, in order to demonstrate the state evolution stability with respect to the topological structures of neural network, we further expand the 3-compartment coupled network into 10-compartment coupled one, with linear and circular structures, and nearest-neighbor (NN) coupled network as well as its realization of small-world (SW) topology via random rewiring, respectively. Interestingly, for the cases of linear and circular connetivities, qualitatively similar results were obtained in addition to the more irregularity of firings. However, SWD can be eventually transformed into the consistent low-amplitude oscillations for both NN and SW networks. In particular, SWD evolves into the slow spindling oscillations and background tonic oscillations within the NN and SW network, respectively. Our modeling and simulation studies highlight the effect of network topology in the evolutions of SWD and spindling oscillations, which provides new insights into the mechanisms of cortical seizures development.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Achermann, P., & Borbely, A.A. (1997). Low-frequency (< 1Hz) oscillations in the human sleep electroencephalogram. Neuroscience, 81(1), 213–222.

    Article  CAS  PubMed  Google Scholar 

  • Amzica, F., & Steriade, M. (1997). The K-complex: its slow (< 1-Hz) rhythmicity and relation to delta waves. Neurology, 49(4), 952–959.

    Article  CAS  PubMed  Google Scholar 

  • Baier, G., Goodfellow, M., Taylor, P.N., Wang, Y., & Garry, D.J. (2012). The importance of modeling epileptic seizure dynamics as spatio-temporal patterns. Frontiers in physiology, 3, 281.

    Article  PubMed  PubMed Central  Google Scholar 

  • Baier, G., Taylor, P.N., & Wang, Y. (2017). Understanding epileptiform after-discharges as rhythmic oscillatory transients. Frontiers in Computational Neuroscience, 11, 25.

    Article  PubMed  PubMed Central  Google Scholar 

  • Barnes, G.N., & Paolicchi, J.M. (2008). Neuropsychiatric comorbidities in childhood absence epilepsy. Nature Clinical Practice Neurology, 4(12), 650–651.

    Article  PubMed  Google Scholar 

  • Blik, V. (2015). Electric stimulation of the tuberomamillary nucleus affects epileptic activity and sleepCwake cycle in a genetic absence epilepsy model. Epilepsy Research, 109, 119–125.

    Article  PubMed  Google Scholar 

  • Boly, M., Jones, B., Findlay, G., Plumley, E., Mensen, A., Hermann, B., & Maganti, R. (2017). Altered sleep homeostasis correlates with cognitive impairment in patients with focal epilepsy. Brain: A Journal of Neurology, 140(4), 1026–1040.

    Article  Google Scholar 

  • Breakspear, M., Roberts, J.A., Terry, J.R., Rodrigues, S., Mahant, N., & Robinson, P.A. (2006). A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cerebral Cortex, 16(9), 1296–1313.

    Article  CAS  PubMed  Google Scholar 

  • Caplan, R., Siddarth, P., Stahl, L., Lanphier, E., Vona, P., Gurbani, S., et al. (2008). Childhood absence epilepsy: behavioral, cognitive, and linguistic comorbidities. Epilepsia, 49(11), 1838–1846.

    Article  PubMed  Google Scholar 

  • Chatburn, A., Coussens, S., Lushington, K., Kennedy, D., Baumert, M., & Kohler, M. (2013). Sleep spindle activity and cognitive performance in healthy children. Sleep, 36(2), 237–243.

    Article  PubMed  PubMed Central  Google Scholar 

  • Chen, B., Detyniecki, K., Choi, H., Hirsch, L., Katz, A., Legge, A., & Farooque, P. (2017). Psychiatric and behavioral side effects of anti-epileptic drugs in adolescents and children with epilepsy. European Journal of Paediatric Neurology, 21(3), 441–449.

    Article  CAS  PubMed  Google Scholar 

  • Chen, M., Guo, D., Li, M., Ma, T., Wu, S., Ma, J., & Yao, D. (2015). Critical roles of the direct GABAergic pallido-cortical pathway in controlling absence seizures. PLoS Computational Biology, 11(10), e1004539.

    Article  PubMed  PubMed Central  Google Scholar 

  • Chen, M., Guo, D., Wang, T., Jing, W., Xia, Y., Xu, P., & et al. (2014). Bidirectional control of absence seizures by the basal ganglia: a computational evidence. PLoS Computational Biology, 10(3), e1003495.

    Article  PubMed  PubMed Central  Google Scholar 

  • Christensen, J.A.E., Nikolic, M., Warby, S.C., Koch, H., Zoetmulder, M., Frandsen, R., et al. (2014). Sleep spindle alterations in patients with parkinson’s disease. Frontiers in Human Neuroscience, 9(233), S47–S47.

    Google Scholar 

  • Contreras, D., Destexhe, A., & Steriade, M. (1997). Spindle oscillations during cortical spreading depression in naturally sleeping cats. Neuroscience, 77(4), 933–936.

    Article  CAS  PubMed  Google Scholar 

  • Crunelli, V., David, F., Lörincz, M.L., & Hughes, S.W. (2015). The thalamocortical network as a single slow wave-generating unit. Current Opinion in Neurobiology, 31, 72–80.

    Article  CAS  PubMed  Google Scholar 

  • Da Silva, F.L., Blanes, W., Kalitzin, S.N., Parra, J., Suffczynski, P., & Velis, D.N. (2003). Epilepsies as dynamical diseases of brain systems: basic models of the transition between normal and epileptic activity. Epilepsia, 44(s12), 72–83.

    Article  Google Scholar 

  • Destexhe, A. (1999). Can GABAA conductances explain the fast oscillation frequency of absence seizures in rodents?. European Journal of Neuroscience, 11(6), 2175–2181.

    Article  CAS  PubMed  Google Scholar 

  • Destexhe, A., Neubig, M., Ulrich, D., & Huguenard, J. (1998). Dendritic low-threshold calcium currents in thalamic relay cells. Journal of Neuroscience, 18(10), 3574–3588.

    CAS  PubMed  Google Scholar 

  • Drover, J.D., Schiff, N.D., & Victor, J.D. (2010). Dynamics of coupled thalamocortical modules. Journal of computational neuroscience, 28(3), 605–616.

    Article  PubMed  Google Scholar 

  • Eschenko, O., Magri, C., Panzeri, S., & Sara, S.J. (2012). Noradrenergic neurons of the locus coeruleus are phase locked to cortical up-down states during sleep. Cerebral Cortex, 22(2), 426–435.

    Article  PubMed  Google Scholar 

  • Evangelista, E., Bnar, C., Bonini, F., Carron, R., Colombet, B., Rgis, J., et al. (2015). Does the thalamo-cortical synchrony play a role in seizure termination?. Frontiers in Neurology, 6, 192.

    Article  PubMed  PubMed Central  Google Scholar 

  • Fan, D., Wang, Q., & Perc, M. (2015). Disinhibition-induced transitions between absence and tonic-clonic epileptic seizures. Scientific Reports, 5, 12618.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Ferrarelli, F. (2015). Sleep in patients with schizophrenia. Current Sleep Medicine Reports, 1(2), 150–156.

    Article  PubMed  PubMed Central  Google Scholar 

  • Ferrarelli, F., & Tononi, G. (2017). Reduced sleep spindle activity point to a TRN-MD thalamus-PFC circuit dysfunction in schizophrenia. Schizophrenia Research, 180, 36–43.

    Article  PubMed  Google Scholar 

  • Fong, G.C.Y., Shah, P.U., Gee, M.N., Serratosa, J.M., Castroviejo, I.P., Khan, S., et al. (1998). Childhood absence epilepsy with tonic-clonic seizures and electroencephalogram 3C4-Hz spike and multispikeCslow wave complexes: linkage to chromosome 8q24. The American Journal of Human Genetics, 63(4), 1117–1129.

    Article  CAS  PubMed  Google Scholar 

  • Golomb, D., Wang, X.J., & Rinzel, J. (1996). Propagation of spindle waves in a thalamic slice model. Journal of Neurophysiology, 75(2), 750–769.

    CAS  PubMed  Google Scholar 

  • Goodfellow, M., Schindler, K., & Baier, G. (2011). Intermittent spikeCwave dynamics in a heterogeneous, spatially extended neural mass model. NeuroImage, 55(3), 920–932.

    Article  PubMed  Google Scholar 

  • Guo, D., Chen, M., Perc, M., Wu, S., Xia, C., Zhang, Y., & Yao, D. (2016a). Firing regulation of fast-spiking interneurons by autaptic inhibition. EPL (Europhysics Letters), 114(3), 30001.

  • Guo, D., Wu, S., Chen, M., Perc, M., Zhang, Y., Ma, J., & Yao, D. (2016b). Regulation of irregular neuronal firing by autaptic transmission. Scientific Reports, 6, 26096.

  • Jansen, B.H., & Rit, V.G. (1995). Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biological cybernetics, 73(4), 357–366.

    Article  CAS  PubMed  Google Scholar 

  • Kandel, A., & Buzski, G. (1997). Cellular-synaptic generation of sleep spindles, spike-and-wave discharges, and evoked thalamocortical responses in the neocortex of the rat. Journal of Neuroscience, 17(17), 6783–97.

    CAS  PubMed  Google Scholar 

  • Kostopoulos, G., Gloor, P., Pellegrini, A., & Gotman, J. (1981). A study of the transition from spindles to spike and wave discharge in feline generalized penicillin epilepsy: microphysiological features. Experimental Neurology, 73(1), 43–54.

    Article  CAS  PubMed  Google Scholar 

  • Kostopoulos, G.K. (2000). Spike-and-wave discharges of absence seizures as a transformation of sleep spindles: the continuing development of a hypothesis. Clinical Neurophysiology, 111(s2), S27–38.

    Article  PubMed  Google Scholar 

  • Krosigk, M.V., Bal, T., & Mccormick, D.A. (1993). Cellular mechanisms of a synchronized oscillation in the thalamus. Science, 261(5119), 361.

    Article  Google Scholar 

  • Latreille, V. (2015). Sleep spindles in parkinson’s disease may predict the development of dementia. Neurobiology of Aging, 36(2), 1083–1090.

    Article  PubMed  Google Scholar 

  • Lee, J., Song, K., Lee, K., Hong, J., Lee, H., Chae, S., et al. (2013). Sleep spindles are generated in the absence of t-type calcium channel-mediated low-threshold burst firing of thalamocortical neurons. Proceedings of the National Academy of Sciences, 110(50), 20266.

    Article  CAS  Google Scholar 

  • Lewis, L.D., Jakob, V., Flores, F.J., Ian, S.L., Wilson, M.A., Halassa, M.M., et al. (2015). Thalamic reticular nucleus induces fast and local modulation of arousal state. Elife Sciences, 4, e08760.

    Google Scholar 

  • Liu, Z., Vergnes, M., Depaulis, A., & Marescaux, C. (1991). Evidence for a critical role of GABAergic transmission within the thalamus in the genesis and control of absence seizures in the rat. Brain Research, 545(1), 1–7.

    Article  CAS  PubMed  Google Scholar 

  • Loring, D.W., & Meador, K.J. (2004). Cognitive side effects of antiepileptic drugs in children. Neurology, 62 (6), 872–877.

    Article  CAS  PubMed  Google Scholar 

  • Meeren, H.K., Veening, J.G., Möderscheim, T.A., Coenen, A.M., & van Luijtelaar, G. (2009). Thalamic lesions in a genetic rat model of absence epilepsy: dissociation between spike-wave discharges and sleep spindles. Experimental Neurology, 217(1), 25– 37.

    Article  PubMed  Google Scholar 

  • Moeller, F., Muthuraman, M., Stephani, U., Deuschl, G., Raethjen, J., & Siniatchkin, M. (2013). Representation and propagation of epileptic activity in absences and generalized photoparoxysmal responses. Human Brain Mapping, 34(8), 1896–1909.

    Article  PubMed  Google Scholar 

  • Molle, M., Bergmann, T.O., Marshall, L., & Born, J. (2011). Fast and slow spindles during the sleep slow oscillation: Disparate coalescence and engagement in memory processing. Sleep, 34(10), 1411–1421.

    Article  PubMed  PubMed Central  Google Scholar 

  • O’reilly, C., Godin, I., Montplaisir, J., & Nielsen, T. (2015). REM Sleep behaviour disorder is associated with lower fast and higher slow sleep spindle densities. Journal of Sleep Research, 24(6), 593–601.

    Article  PubMed  Google Scholar 

  • Panayiotopoulos, C.P. (1997). Absence epilepsies. In Engel, J., & Pedley, T.A. (Eds.) Epilepsy: A comprehensive textbook (pp. 2327–2346). Philadelphia: Lippincott-Raven.

  • Pinault, D., & O’Brien, T.J. (2005). Cellular and network mechanisms of genetically-determined absence seizures. Thalamus & Related Systems, 3(3), 181.

    Article  Google Scholar 

  • Robinson, P.A., Rennie, C.J., & Rowe, D.L. (2002). Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Physical Review E, 65(4), 041924.

    Article  CAS  Google Scholar 

  • Rosanova, M., & Ulrich, D. (2005). Pattern-specific associative long-term potentiation induced by a sleep spindle-related spike train. Journal of Neuroscience, 25(41), 9398.

    Article  CAS  PubMed  Google Scholar 

  • Salem, K.M., Goodger, L., Bowyer, K., Shafafy, M., & Grevitt, M.P. (2016). Does transcranial stimulation for motor evoked potentials (TcMEP) worsen seizures in epileptic patients following spinal deformity surgery?. European Spine Journal, 25(10), 3044–3048.

    Article  PubMed  Google Scholar 

  • Sanchez-Vives, M.V., & Mccormick, D.A. (2000). Cellular and network mechanisms of rhythmic recurrent activity in neocortex. Nature Neuroscience, 3(10), 1027.

    Article  CAS  PubMed  Google Scholar 

  • Sargsyan, A., Sitnikova, E., Melkonyan, A., Mkrtchian, H., & van Luijtelaar, G. (2007). Simulation of sleep spindles and spike and wave discharges using a novel method for the calculation of field potentials in rats. Journal of Neuroscience Methods, 164(1), 161–176.

    Article  PubMed  Google Scholar 

  • Schiller, Y., & Bankirer, Y. (2007). Cellular mechanisms underlying antiepileptic effects of low- and high-frequency electrical stimulation in acute epilepsy in neocortical brain slices in vitro. Journal of Neurophysiology, 97(3), 1887–1902.

    Article  PubMed  Google Scholar 

  • Shouse, M.N., Farber, P.R., & Staba, R.J. (2000). Physiological basis: How nrem sleep components can promote and rem sleep components can suppress seizure discharge propagation. Clinical Neurophysiology, 111(S2), S9–S18.

    Article  PubMed  Google Scholar 

  • Sinha, N., Taylor, P.N., Dauwels, J., & Ruths, J. (2014). Development of optimal stimuli in a heterogeneous model of epileptic spike wave oscillations. IEEE International Conference on Systems, Man and Cybernetics, 2014, 3160–3165.

    Google Scholar 

  • Sitnikova, E. (2010). Thalamo-cortical mechanisms of sleep spindles and spikeCwave discharges in rat model of absence epilepsy (a review). Epilepsy Research, 89(1), 17–26.

    Article  PubMed  Google Scholar 

  • Sitnikova, E., Hramov, A.E., Grubov, V., & Koronovsky, A.A. (2014a). Age-dependent increase of absence seizures and intrinsic frequency dynamics of sleep spindles in rats. Neuroscience Journal, 2014, 370764.

  • Sitnikova, E., Hramov, A.E., Grubov, V., & Koronovsky, A.A. (2014b). Time-frequency characteristics and dynamics of sleep spindles in WAG/rij rats with absence epilepsy. Brain Research, 1543, 290–299.

  • Sotero, R.C., Trujillo-Barreto, N.J., Iturria-Medina, Y., Carbonell, F., & Jimenez, J.C. (2007). Realistically coupled neural mass models can generate EEG rhythms. Neural Computation, 19(2), 478–512.

    Article  PubMed  Google Scholar 

  • Steriade, M. (2003). The corticothalamic system in sleep. Frontiers in Bioscience A Journal & Virtual Library, 8(1-3), d878.

    Article  CAS  Google Scholar 

  • Steriade, M., Deschnes, M., Domich, L., & Mulle, C. (1985). Abolition of spindle oscillation in thalamic neurons disconnected from nucleus reticularis thalami. Journal of Neurophysiology, 54(6), 1473.

    CAS  PubMed  Google Scholar 

  • Steriade, M., Domich, L., Oakson, G., & Deschenes, M. (1987). The deafferented reticular thalamic nucleus generates spindle rhythmicity. Journal of Neurophysiology, 57(1), 260–273.

    CAS  PubMed  Google Scholar 

  • Steriade, M., Mccormick, D.A., & Sejnowski, T.J. (1993). Thalamocortical oscillations in the sleeping and aroused brain. Science, 262(5134), 679.

    Article  CAS  PubMed  Google Scholar 

  • Steyn-Ross, D.A., Steyn-Ross, M.L., Sleigh, J.W., Wilson, M.T., Gillies, I.P., & Wright, J.J. (2005a). The sleep cycle modelled as a cortical phase transition. Journal of Biological Physics, 31(3-4), 547–569.

  • Steyn-Ross, M.L., Steyn-Ross, D.A., Sleigh, J.W., Wilson, M.T., & Wilcocks, L.C. (2005b). Proposed mechanism for learning and memory erasure in a white-noise-driven sleeping cortex. Physical Review E, 72(6), 061910.

  • Steyn-Ross, A., & Steyn-Ross, M. (2010). Modeling phase transitions in the brain. New York: Springer.

    Book  Google Scholar 

  • Su, Y., Radman, T., Vaynshteyn, J., Parra, L.C., & Bikson, M. (2008). Effects of high-frequency stimulation on epileptiform activity in vitro: ON/OFF control paradigm. Epilepsia, 49(9), 1586–1593.

    Article  PubMed  Google Scholar 

  • Suffczynski, P., Kalitzin, S., & Silva, F.H.L.D. (2004). Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. Neuroscience, 126(2), 467–484.

    Article  CAS  PubMed  Google Scholar 

  • Tamaki, M., Matsuoka, T., Nittono, H., & Hori, T. (2008). Fast sleep spindle (13-15 hz) activity correlates with sleep-dependent improvement in visuomotor performance. Sleep, 31(2), 204.

    Article  PubMed  PubMed Central  Google Scholar 

  • Taylor, P.N., & Baier, G. (2011). A spatially extended model for macroscopic spike-wave discharges. Journal of Computational Neuroscience, 31(3), 679–684.

    Article  PubMed  Google Scholar 

  • Taylor, P.N., Baier, G., Cash, S.S., Dauwels, J., Slotine, J.J., & Wang, Y. (2013). A model of stimulus induced epileptic spike-wave discharges. IEEE Symposium on Computational Intelligence, Cognitive Algorithms, Mind, and Brain (CCMB), 9(5), 53–59.

    Article  Google Scholar 

  • Taylor, P.N., Thomas, J., Sinha, N., Dauwels, J., Kaiser, M., Thesen, T., & Ruths, J. (2015). Optimal control based seizure abatement using patient derived connectivity. Frontiers in Neuroscience, 1(9), 202.

    Google Scholar 

  • Taylor, P.N., Wang, Y., Goodfellow, M., Dauwels, J., Moeller, F., Stephani, U., & et al. (2014). A computational study of stimulus driven epileptic seizure abatement. PloS one, 9(12), e114316.

    Article  PubMed  PubMed Central  Google Scholar 

  • Traub, R.D., Contreras, D., Cunningham, M.O., Murray, H., Lebeau, F.E.N., Roopun, A., & et al. (2005). Single-column thalamocortical network model exhibiting gamma oscillations, sleep spindles, and epileptogenic bursts. Journal of Neurophysiology, 93(4), 2194–2232.

    Article  PubMed  Google Scholar 

  • Tsekou, H., Angelopoulos, E., Paparrigopoulos, T., Golemati, S., Soldatos, C.R., Papadimitriou, G.N., et al. (2015). Sleep eeg and spindle characteristics after combination treatment with clozapine in drug-resistant schizophrenia: a pilot study. Journal of Clinical Neurophysiology, 32(2), 159–63.

    Article  PubMed  Google Scholar 

  • Ursino, M., Cona, F., & Zavaglia, M. (2010). The generation of rhythms within a cortical region: analysis of a neural mass model. NeuroImage, 52(3), 1080–1094.

    Article  PubMed  Google Scholar 

  • van Luijtelaar, E.L. (1997). Spike-wave discharges and sleep spindles in rats. Acta Neurobiologiae Experimentalis, 57(2), 113–121.

    PubMed  Google Scholar 

  • Veggiotti, P., Beccaria, F., Guerrini, R., Capovilla, G., & Lanzi, G. (1999). Continuous spike-and-wave activity during slow-wave sleep: syndrome or eeg pattern?. Epilepsia, 40(11), 1593– 1601.

    Article  CAS  PubMed  Google Scholar 

  • Wamsley, E.J., Tucker, M.A., Shinn, A.K., Ono, K.E., Mckinley, S.K., Ely, A.V., et al. (2011). Reduced sleep spindles and spindle coherence in schizophrenia: mechanisms of impaired memory consolidation?. Biological Psychiatry, 71(2), 154–161.

    Article  PubMed  PubMed Central  Google Scholar 

  • Wang, Q., Perc, M., Duan, Z., & Chen, G. (2009). Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. Physical Review E, 80(2), 026206.

    Article  Google Scholar 

  • Wang, Y., Goodfellow, M., Taylor, P.N., & Baier, G. (2012). Phase space approach for modeling of epileptic dynamics. Physical Review E, 85(6), 061918.

    Article  Google Scholar 

  • Westmijse, I., Ossenblok, P., Gunning, B., & Van, L.G. (2009). Onset and propagation of spike and slow wave discharges in human absence epilepsy: a meg study. Epilepsia, 50(12), 2538–2548.

  • Wilson, M.T., Steyn-Ross, M.L., Steyn-Ross, D.A., & Sleigh, J.W. (2005). Predictions and simulations of cortical dynamics during natural sleep using a continuum approach. Physical Review E, 72(5), 051910.

    Article  CAS  Google Scholar 

  • Yan, B., & Li, P. (2011). An integrative view of mechanisms underlying generalized spike-and-wave epileptic seizures and its implication on optimal therapeutic treatments. PloS one, 6(7), e22440.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Yousif, N.A., & Denham, M. (2005). A population-based model of the nonlinear dynamics of the thalamocortical feedback network displays intrinsic oscillations in the spindling (7C14 Hz) range. European Journal of Neuroscience, 22(12), 3179–3187.

    Article  PubMed  Google Scholar 

  • Zhao, X., Kim, J.W., & Robinson, P.A. (2015). Slow-wave oscillations in a corticothalamic model of sleep and wake. Journal of Theoretical Biology, 370, 93–102.

    Article  CAS  PubMed  Google Scholar 

  • Zhao, X., & Robinson, P.A. (2015). Generalized seizures in a neural field model with bursting dynamics. Journal of Computational Neuroscience, 39(2), 197–216.

    Article  CAS  PubMed  Google Scholar 

Download references

Acknowledgements

This research is supported by the National Natural Science Foundation of China (Grant Nos. 11325208, 11572015 and 11172017), the Project funded by China Postdoctoral Science Foundation (Grant No. 2016M600037) and the Fundamental Research Funds for the Central Universities (FRF-TP-16-068A1).

Author information

Authors and Affiliations

  1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Denggui Fan

  2. Department of Dynamics and Control, Beihang University, Beijing, 100191, China

    Qingyun Wang

  3. Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76019-0408, USA

    Jianzhong Su & Hongguang Xi

Authors
  1. Denggui Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qingyun Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jianzhong Su
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hongguang Xi
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

DF, QW, JS and HX conceived, designed and performed the research as well as wrote the paper.

Corresponding author

Correspondence to Qingyun Wang.

Ethics declarations

Conflict of interests

The authors declare that they have no conflict of interest.

Competing financial interests

The authors declare no competing financial interests.

Additional information

Action Editor: Co-EIC role for Destexhe and Victor

Competing financial interests

The authors declare no competing financial interests.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fan, D., Wang, Q., Su, J. et al. Stimulus-induced transitions between spike-wave discharges and spindles with the modulation of thalamic reticular nucleus. J Comput Neurosci 43, 203–225 (2017). https://doi.org/10.1007/s10827-017-0658-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10827-017-0658-4

Keywords

Search

Navigation