Suppression of collective synchronization in a system of neural groups with washout-filter-aided feedback

We discuss the suppression of collective synchrony in a system of interacting neural groups. The study is motivated by attempts to develop effective techniques for the elimination of pathological brain rhythms in networks involving many distinct brain regions, such as epileptic systems. We find that complete desynchronization is obtained by individual control of all subgroups. Local control of one particular subgroup desynchronizes only the stimulated one. It does not have any significant impact on the collective behavior of other subgroups, which in turn does not affect the desynchronization effects of the controlled group.

[1]  John H. Blakelock,et al.  Automatic control of aircraft and missiles , 1965 .

[2]  E. Ott,et al.  Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Peter A. Tass,et al.  Phase Resetting in Medicine and Biology: Stochastic Modelling and Data Analysis , 1999 .

[4]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[5]  M. E. Kirlangic,et al.  External trial deep brain stimulation device for the application of desynchronizing stimulation techniques , 2009, Journal of neural engineering.

[6]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  R. Llinás,et al.  Experimentally determined chaotic phase synchronization in a neuronal system. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Hiroshi Kori,et al.  Characterization of synchronization in interacting groups of oscillators: application to seizures. , 2008, Biophysical journal.

[9]  Michael Rosenblum,et al.  Delayed Feedback Suppression of Collective Rhythmic Activity in a Neuronal Ensemble , 2006, Int. J. Bifurc. Chaos.

[10]  Duane T. McRuer,et al.  Aircraft Dynamics and Automatic Control , 1973 .

[11]  P. Gildenberg,et al.  Evolution of Neuromodulation , 2005, Stereotactic and Functional Neurosurgery.

[12]  Matthew B. Stern,et al.  Comprar Deep Brain Stimulation for Parkinsons Disease | Matthew B. Stern | 9780849370199 | Informa Healthcare , 2007 .

[13]  Peter A Tass,et al.  Synchronization control of interacting oscillatory ensembles by mixed nonlinear delayed feedback. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  A. Benabid,et al.  Five-year follow-up of bilateral stimulation of the subthalamic nucleus in advanced Parkinson's disease. , 2003, The New England journal of medicine.

[15]  O. Rössler An equation for continuous chaos , 1976 .

[16]  S. Strogatz,et al.  Phase diagram for the collective behavior of limit-cycle oscillators. , 1990, Physical review letters.

[17]  Peter A. Tass,et al.  Desynchronization and Decoupling of Interacting oscillators by Nonlinear Delayed Feedback , 2006, Int. J. Bifurc. Chaos.

[18]  Michael Rosenblum,et al.  Feedback Suppression of Neural Synchrony in Two Interacting Populations by Vanishing Stimulation , 2008, Journal of biological physics.

[19]  Antonio M. Batista,et al.  Delayed feedback control of bursting synchronization in a scale-free neuronal network , 2010, Neural Networks.

[20]  Hua O. Wang,et al.  Bifurcation control of a chaotic system , 1995, Autom..

[21]  Hsien-Chiarn Lee,et al.  Robust Control of Bifurcating Nonlinear Systems with Applications , 1991 .

[22]  P. Tass,et al.  Long-lasting desynchronization in rat hippocampal slice induced by coordinated reset stimulation. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Ming Luo,et al.  Washout filter aided mean field feedback desynchronization in an ensemble of globally coupled neural oscillators , 2009, Biological Cybernetics.

[24]  J. Kurths,et al.  Synchronization of two interacting populations of oscillators. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  M. Kringelbach,et al.  Translational principles of deep brain stimulation , 2007, Nature Reviews Neuroscience.

[26]  Mark A Kramer,et al.  Bifurcation control of a seizing human cortex. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  A. Benabid Deep brain stimulation for Parkinson’s disease , 2003, Current Opinion in Neurobiology.

[28]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[29]  Peter A. Tass,et al.  A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations , 2003, Biological Cybernetics.

[30]  Xiao-Jiang Feng,et al.  Optimal deep brain stimulation of the subthalamic nucleus—a computational study , 2007, Journal of Computational Neuroscience.

[31]  Peter A. Tass,et al.  Effectively desynchronizing deep brain stimulation based on a coordinated delayed feedback stimulation via several sites: a computational study , 2005, Biological Cybernetics.

[32]  S. Spencer Neural Networks in Human Epilepsy: Evidence of and Implications for Treatment , 2002, Epilepsia.

[33]  Dominique M Durand,et al.  Control of phase synchronization of neuronal activity in the rat hippocampus , 2004, Journal of neural engineering.

[34]  Jürgen Kurths,et al.  Feedback suppression of neural synchrony by vanishing stimulation. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  M. Rosenblum,et al.  Controlling synchronization in an ensemble of globally coupled oscillators. , 2004, Physical review letters.

[36]  G. Ermentrout,et al.  Oscillator death in systems of coupled neural oscillators , 1990 .

[37]  Peter A. Tass,et al.  Controlling synchrony in oscillatory networks with a separate stimulation-registration setup , 2007 .

[38]  J. Milton,et al.  Epilepsy as a Dynamic Disease , 2003 .

[39]  Christian Hauptmann,et al.  Effective desynchronization by nonlinear delayed feedback. , 2005, Physical review letters.

[40]  E.H. Abed,et al.  Washout filters in feedback control: benefits, limitations and extensions , 2004, Proceedings of the 2004 American Control Conference.

[41]  Vincent D. Blondel,et al.  Proceedings of the 2000 American Control Conference , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).