Coexistence of intermittencies in the neuronal network of the epileptic brain.

Intermittent behavior occurs widely in nature. At present, several types of intermittencies are known and well-studied. However, consideration of intermittency has usually been limited to the analysis of cases when only one certain type of intermittency takes place. In this paper, we report on the temporal behavior of the complex neuronal network in the epileptic brain, when two types of intermittent behavior coexist and alternate with each other. We prove the presence of this phenomenon in physiological experiments with WAG/Rij rats being the model living system of absence epilepsy. In our paper, the deduced theoretical law for distributions of the lengths of laminar phases prescribing the power law with a degree of -2 agrees well with the experimental neurophysiological data.

[1]  Alexander E. Hramov,et al.  On–off intermittency of thalamo-cortical oscillations in the electroencephalogram of rats with genetic predisposition to absence epilepsy , 2012, Brain Research.

[2]  Alexey N. Pavlov,et al.  Wavelets in Neuroscience , 2014, Springer Series in Synergetics.

[3]  A. Hramov,et al.  Intermittency of intermittencies. , 2013, Chaos.

[4]  Meng Zhan,et al.  Complete synchronization and generalized synchronization of one-way coupled time-delay systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M. Ferrara,et al.  Sleep spindles: an overview. , 2003, Sleep medicine reviews.

[6]  I. Stewart,et al.  From attractor to chaotic saddle: a tale of transverse instability , 1996 .

[7]  R. Wennberg,et al.  Type III intermittency in human partial epilepsy , 1999, The European journal of neuroscience.

[8]  A. Hramov,et al.  Cooperation of deterministic and stochastic mechanisms resulting in the intermittent behavior , 2014 .

[9]  John G Milton,et al.  On-off intermittency in a human balancing task. , 2002, Physical review letters.

[10]  R Sevilla-Escoboza,et al.  Multistate intermittency and extreme pulses in a fiber laser. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  D. L. Valladares,et al.  Characterization of intermittent lag synchronization , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Alexander Hramov,et al.  On-off intermittency in time series of spontaneous paroxysmal activity in rats with genetic absence epilepsy. , 2006, Chaos.

[13]  Olga I. Moskalenko,et al.  Ring intermittency near the boundary of the synchronous time scales of chaotic oscillators. , 2011 .

[14]  Gilles van Luijtelaar,et al.  Midfrequency cortico-thalamic oscillations and the sleep cycle: Genetic, time of day and age effects , 2007, Epilepsy Research.

[15]  Evgenia Sitnikova,et al.  Cortical and thalamic coherence during spike–wave seizures in WAG/Rij rats , 2006, Epilepsy Research.

[16]  Platt,et al.  Characterization of on-off intermittency. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Alexander E. Hramov,et al.  Sleep spindles and spike–wave discharges in EEG: Their generic features, similarities and distinctions disclosed with Fourier transform and continuous wavelet analysis , 2009, Journal of Neuroscience Methods.

[18]  J. Kurths,et al.  Phase synchronization of chaotic oscillations in terms of periodic orbits. , 1997, Chaos.

[19]  Leonid L Rubchinsky,et al.  Neural dynamics in parkinsonian brain: the boundary between synchronized and nonsynchronized dynamics. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Ricardo Sevilla-Escoboza,et al.  Rogue waves in a multistable system. , 2011, Physical review letters.

[21]  A. Coenen,et al.  The WAG/Rij rat model for absence epilepsy: age and sex factors , 1987, Epilepsy Research.

[22]  Lee,et al.  Experimental observation of on-off intermittency. , 1994, Physical review letters.

[23]  G. Kostopoulos,et al.  Spike-and-wave discharges of absence seizures as a transformation of sleep spindles: the continuing development of a hypothesis , 2000, Clinical Neurophysiology.

[24]  S Boccaletti,et al.  Ring intermittency in coupled chaotic oscillators at the boundary of phase synchronization. , 2006, Physical review letters.

[25]  Tomasz Kapitaniak,et al.  Loss of Chaos Synchronization through the Sequence of Bifurcations of Saddle Periodic Orbits , 1997 .

[26]  Damian G. Kelty-Stephen,et al.  Multiplicative-cascade dynamics in pole balancing. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  J. Kurths,et al.  Attractor-Repeller Collision and Eyelet Intermittency at the Transition to Phase Synchronization , 1997 .

[28]  Spiegel,et al.  On-off intermittency: A mechanism for bursting. , 1993, Physical review letters.

[29]  Miguel A. Rubio,et al.  Experimental evidence of intermittencies associated with a subharmonic bifurcation , 1983 .

[30]  J. Kurths,et al.  From Phase to Lag Synchronization in Coupled Chaotic Oscillators , 1997 .

[31]  Evgenia Sitnikova,et al.  Thalamo-cortical mechanisms of sleep spindles and spike–wave discharges in rat model of absence epilepsy (a review) , 2010, Epilepsy Research.

[32]  Alexey A. Koronovskii,et al.  Intermittent generalized synchronization in unidirectionally coupled chaotic oscillators , 2005 .

[33]  L. Rubchinsky,et al.  Detecting the temporal structure of intermittent phase locking. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Cees van Leeuwen,et al.  Intermittent dynamics underlying the intrinsic fluctuations of the collective synchronization patterns in electrocortical activity. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.