- Aarabi, A. ; Wallois, F. ; Grebe, R. Does spatiotemporal synchronization of EEG change prior to absence seizures?. 2008 Brain Res. 1188 207-221
Paper not yet in RePEc: Add citation now
- Alamgir, M. ; Epstein, I.R. Systematic design of chemical oscillators. 17. Birhythmicity and compound oscillation in coupled chemical oscillators: Chlorite-bromate-iodide system. 1983 J Am Chem Soc. 105 2500-2502
Paper not yet in RePEc: Add citation now
- Babajani, A. ; Soltanian-Zadeh, H. Integrated MEG/EEG and fMRI model based on neural masses. 2006 IEEE Trans Biomed Eng. 53 1794-1801
Paper not yet in RePEc: Add citation now
- Beggs, J.M. ; Plenz, D. Neuronal avalanches in neocortical circuits. 2003 J Neurosci. 23 11167-11177
Paper not yet in RePEc: Add citation now
- Bertoin, J. Lévy processes, volume 121. 1996 Cambridge university press Cambridge:
Paper not yet in RePEc: Add citation now
- Bikson, M. ; Hahn, P.J. ; Fox, J.E. ; Jefferys, J.G. Depolarization block of neurons during maintenance of electrographic seizures. 2003 J Neurophysiol. 90 2402-2408
Paper not yet in RePEc: Add citation now
- Birjandtalab, J. ; Pouyan, M.B. ; Cogan, D. ; Nourani, M. ; Harvey, J. Automated seizure detection using limited-channel EEG and non-linear dimension reduction. 2017 Comput Biol Med. 82 49-58
Paper not yet in RePEc: Add citation now
- Biswas, D. ; Banerjee, T. ; Kurths, J. Control of birhythmicity through conjugate self-feedback: Theory and experiment. 2016 Phys Rev E. 94 -
Paper not yet in RePEc: Add citation now
- Biswas, D. ; Banerjee, T. ; Kurths, J. Control of birhythmicity: A self-feedback approach. 2017 Chaos. 27 -
Paper not yet in RePEc: Add citation now
- Brun, E. ; Derighetti, B. ; Meier, D. ; Holzner, R. ; Ravani, M. Observation of order and chaos in a nuclear spin–flip laser. 1985 J Opt Soc Amer B. 2 156-167
Paper not yet in RePEc: Add citation now
- Cai, R. ; Chen, X. ; Duan, J. ; Kurths, J. ; Li, X. Lévy noise-induced escape in an excitable system. 2017 J Stat Mech Theory Exp. 2017 -
Paper not yet in RePEc: Add citation now
Cai, R. ; Liu, Y. ; Duan, J. ; Abebe, A.T. State transitions in the morris-lecar model under stable Lévy noise. 2020 Eur Phys J B. 93 1-9
- Cona, F. ; Zavaglia, M. ; Massimini, M. ; Rosanova, M. ; Ursino, M. A neural mass model of interconnected regions simulates rhythm propagation observed via TMS-EEG. 2011 NeuroImage. 57 1045-1058
Paper not yet in RePEc: Add citation now
- De Curtis, M. ; Gnatkovsky, V. Reevaluating the mechanisms of focal ictogenesis: The role of low-voltage fast activity. 2009 Epilepsia. 50 2514-2525
Paper not yet in RePEc: Add citation now
- Destexhe, A. Network models of absence seizures. 2014 En : Neuronal networks in brain function, cns disorders, and therapeutics. Elsevier:
Paper not yet in RePEc: Add citation now
- Destexhe, A. ; Babloyantz, A. ; Sejnowski, T.J. Ionic mechanisms for intrinsic slow oscillations in thalamic relay neurons. 1993 Biophys J. 65 1538-1552
Paper not yet in RePEc: Add citation now
Du, M. ; Li, J. ; Chen, L. ; Yu, Y. ; Wu, Y. Astrocytic Kir4. 1 channels and gap junctions account for spontaneous epileptic seizure. 2018 PLoS Comput Biol. 14 -
- Fan, D. ; Wang, Q. ; Su, J. ; Xi, H. Stimulus-induced transitions between spike-wave discharges and spindles with the modulation of thalamic reticular nucleus. 2017 J Comput Neurosci. 43 203-225
Paper not yet in RePEc: Add citation now
- FitzHugh, R. Impulses and physiological states in theoretical models of nerve membrane. 1961 Biophys J. 1 445-466
Paper not yet in RePEc: Add citation now
- Friedman, N. ; Ito, S. ; Brinkman, B.A. ; Shimono, M. ; DeVille, R.L. ; Dahmen, K.A. Universal critical dynamics in high resolution neuronal avalanche data. 2012 Phys Rev Lett. 108 -
Paper not yet in RePEc: Add citation now
- Geng, S. ; Zhou, W. ; Yuan, Q. ; Ma, Z. ; Zhao, X. Dynamics analysis of a time-delay neural mass model. 2013 En : World congress on medical physics and biomedical engineering May 26–31, 2012, Beijing, China. Springer:
Paper not yet in RePEc: Add citation now
- Grimbert, F. ; Faugeras, O. Bifurcation analysis of Jansen’s neural mass model. 2006 Neural Comput. 18 3052-3068
Paper not yet in RePEc: Add citation now
- Haghighi, H.S. ; Markazi, A.H.D. Dynamic origin of spike and wave discharges in the brain. 2019 Neuroimage. 197 69-79
Paper not yet in RePEc: Add citation now
- Hartzell, S. ; Bartlett, M.S. ; Virgin, L. ; Porporato, A. Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing. 2015 J Theoret Biol. 368 83-94
Paper not yet in RePEc: Add citation now
- Hindmarsh, J.L. ; Rose, R.M. A model of neuronal bursting using three coupled first order differential equations. 1984 Proc R Soc Lond [Biol]. 221 87-102
Paper not yet in RePEc: Add citation now
- Hodgkin, A.L. ; Huxley, A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. 1952 J Physiol. 117 500-
Paper not yet in RePEc: Add citation now
- Jansen, B.H. ; Rit, V.G. Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. 1995 Biol Cybernet. 73 357-366
Paper not yet in RePEc: Add citation now
Jónsdóttir, K.Ý. ; RØNN-NIELSEN, A. ; Mouridsen, K. ; Vedel Jensen, E.B. Lévy-based modelling in brain imaging. 2013 Scand J Stat. 40 511-529
- Kalitzin, S.N. ; Velis, D.N. ; da Silva, F.H.L. Stimulation-based anticipation and control of state transitions in the epileptic brain. 2010 Epilepsy Behav. 17 310-323
Paper not yet in RePEc: Add citation now
- Kapustnikov, A.A. ; Sysoeva, M.V. ; Sysoev, I.V. Transient dynamics in a class of mathematical models of epileptic seizures. 2022 Commun Nonlinear Sci Numer Simul. 109 -
Paper not yet in RePEc: Add citation now
- Ken-Iti, S. Lévy processes and infinitely divisible distributions. 1999 Cambridge University Press:
Paper not yet in RePEc: Add citation now
- Kramer, M.A. ; Cash, S.S. Epilepsy as a disorder of cortical network organization. 2012 Neuroscientist. 18 360-372
Paper not yet in RePEc: Add citation now
- Kuhlmann, L. ; Freestone, D.R. ; Manton, J.H. ; Heyse, B. ; Vereecke, H.E. ; Lipping, T. Neural mass model-based tracking of anesthetic brain states. 2016 NeuroImage. 133 438-456
Paper not yet in RePEc: Add citation now
- Kwuimy, C.A.K. ; Kadji, H.G.E. Recurrence analysis and synchronization of oscillators with coexisting attractors. 2014 Phys Lett A. 378 2142-2150
Paper not yet in RePEc: Add citation now
- La Cognata, A. ; Valenti, D. ; Dubkov, A.A. ; Spagnolo, B. Dynamics of two competing species in the presence of Lévy noise sources. 2010 Phys Rev E. 82 -
Paper not yet in RePEc: Add citation now
- Li, J. ; Song, J. ; Tan, N. ; Cao, C. ; Du, M. ; Xu, S. Channel block of the astrocyte network connections accounting for the dynamical transition of epileptic seizures. 2021 Nonlinear Dynam. 105 3571-3583
Paper not yet in RePEc: Add citation now
- Liley, D.T.J. ; Cadusch, P.J. ; Dafilis, M.P. A spatially continuous mean field theory of electrocortical activity. 2001 Network: Comput Neural Syst. 13 67-
Paper not yet in RePEc: Add citation now
- Luhmann, H.J. ; Mittmann, T. ; van Luijtelaar, G. ; Heinemann, U. Impairment of intracortical gabaergic inhibition in a rat model of absence epilepsy. 1995 Epilepsy Res. 22 43-51
Paper not yet in RePEc: Add citation now
- Matsumoto, R. ; Kunieda, T. ; Nair, D. Single pulse electrical stimulation to probe functional and pathological connectivity in epilepsy. 2017 Seizure. 44 27-36
Paper not yet in RePEc: Add citation now
- Medvedeva, T. ; Sysoeva, M. ; Lüttjohann, A. ; van Luijtelaar, G. ; Sysoev, I. Dynamical mesoscale model of absence seizures in genetic models. 2020 PLoS One. 15 -
Paper not yet in RePEc: Add citation now
- Medvedeva, T.M. ; Sysoeva, M.V. ; van Luijtelaar, G. ; Sysoev, I.V. Modeling spike-wave discharges by a complex network of neuronal oscillators. 2018 Neural Netw. 98 271-282
Paper not yet in RePEc: Add citation now
- Morris, C. ; Lecar, H. Voltage oscillations in the barnacle giant muscle fiber. 1981 Biophys J. 35 193-213
Paper not yet in RePEc: Add citation now
- Moshé, S.L. ; Perucca, E. ; Ryvlin, P. ; Tomson, T. Epilepsy: New advances. 2015 Lancet. 385 884-898
Paper not yet in RePEc: Add citation now
- Ning, L. ; Sun, Y. Modulating bifurcations in a self-sustained birhythmic system by α-stable Lévy noise and time delay. 2019 Nonlinear Dynam. 98 2339-2347
Paper not yet in RePEc: Add citation now
- Roberts, J.A. ; Boonstra, T.W. ; Breakspear, M. The heavy tail of the human brain. 2015 Curr Opin Neurobiol. 31 164-172
Paper not yet in RePEc: Add citation now
- Roberts, J.A. ; Iyer, K.K. ; Finnigan, S. ; Vanhatalo, S. ; Breakspear, M. Scale-free bursting in human cortex following hypoxia at birth. 2014 J Neurosci. 34 6557-6572
Paper not yet in RePEc: Add citation now
- Song, J.-L. ; Li, Q. ; Pan, M. ; Zhang, B. ; Westover, M.B. ; Zhang, R. Seizure tracking of epileptic EEGs using a model-driven approach. 2020 J Neural Eng. 17 -
Paper not yet in RePEc: Add citation now
- Suffczynski, P. ; Kalitzin, S. ; Da Silva, F.H.L. Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. 2004 Neuroscience. 126 467-484
Paper not yet in RePEc: Add citation now
- Sun, X.-J. ; Lu, Q.-S. Non-Gaussian colored noise optimized spatial coherence of a Hodgkin—Huxley neuronal network. 2014 Chin Phys Lett. 31 -
Paper not yet in RePEc: Add citation now
- Taylor, P.N. ; Thomas, J. ; Sinha, N. ; Dauwels, J. ; Kaiser, M. ; Thesen, T. Optimal control based seizure abatement using patient derived connectivity. 2015 Front Neurosci. 9 202-
Paper not yet in RePEc: Add citation now
- Taylor, P.N. ; Wang, Y. ; Goodfellow, M. ; Dauwels, J. ; Moeller, F. ; Stephani, U. A computational study of stimulus driven epileptic seizure abatement. 2014 PLoS One. 9 -
Paper not yet in RePEc: Add citation now
Ullah, G. ; Schiff, S.J. Assimilating seizure dynamics. 2010 PLoS Comput Biol. 6 -
- Ursino, M. ; Cona, F. ; Zavaglia, M. The generation of rhythms within a cortical region: Analysis of a neural mass model. 2010 NeuroImage. 52 1080-1094
Paper not yet in RePEc: Add citation now
- Vinaya, M. ; Ignatius, R.P. Effect of Lévy noise on the networks of Izhikevich neurons. 2018 Nonlinear Dynam. 94 1133-1150
Paper not yet in RePEc: Add citation now
- Wendling, F. ; Bartolomei, F. ; Bellanger, J.J. ; Chauvel, P. Epileptic fast activity can be explained by a model of impaired gabaergic dendritic inhibition. 2002 Eur J Neurosci. 15 1499-1508
Paper not yet in RePEc: Add citation now
- Weron, A. ; Weron, R. Computer simulation of Lévy α-stable variables and processes. 1995 En : Chaos—the interplay between stochastic and deterministic behaviour. Springer:
Paper not yet in RePEc: Add citation now
- Wilson, H.R. ; Cowan, J.D. Excitatory and inhibitory interactions in localized populations of model neurons. 1972 Biophys J. 12 1-24
Paper not yet in RePEc: Add citation now
Xu, Y. ; Li, J. ; Feng, J. ; Zhang, H. ; Xu, W. ; Duan, J. Lévy noise-induced stochastic resonance in a bistable system. 2013 Eur Phys J B. 86 1-7
- Zhang, H. ; Shen, Z. ; Zhao, Q. ; Yan, L. ; Du, L. ; Deng, Z. Dynamic transitions of epilepsy waveforms induced by astrocyte dysfunction and electrical stimulation. 2020 Neural Plast. 2020 -
Paper not yet in RePEc: Add citation now
- Zhang, L. ; Fan, D. ; Wang, Q. Synchronous high-frequency oscillations in inhibitory-dominant network motifs consisting of three dentate gyrus-CA3 systems. 2018 Chaos. 28 -
Paper not yet in RePEc: Add citation now