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Feedback Suppression of Neural Synchrony in Two Interacting Populations by Vanishing Stimulation

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Abstract

We discuss the suppression of collective synchrony in a system of two interacting oscillatory networks. It is assumed that the first network can be affected by the stimulation, whereas the activity of the second one can be monitored. The study is motivated by ongoing attempts to develop efficient techniques for the manipulation of pathological brain rhythms. The suppression mechanism we consider is related to the classical problem of interaction of active and passive systems. The main idea is to connect a specially designed linear oscillator to the active system to be controlled. We demonstrate that the feedback loop, organized in this way, provides an efficient suppression. We support the discussion of our approach by a theoretical treatment of model equations for the collective modes of both networks, as well as by the numerical simulation of two coupled populations of neurons. The main advantage of our approach is that it provides a vanishing-stimulation control, i.e., the stimulation reduces to the noise level as soon as the goal is achieved.

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Notes

  1. By active system, we mean a self-sustained oscillator capable of producing stable oscillations without external forces. On the contrary, a passive system oscillates only in response to external driving.

  2. The following conclusions hold also for identical oscillators in the presence of noise.

  3. Here, we mean brain activity that manifests itself as a rather narrow spectral peak in the power spectrum of EEG or MEG signals.

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Acknowledgement

We are grateful to Arkady Pikovsky for useful discussions and careful reading of the manuscript.

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Authors and Affiliations

  1. Department of Physics, University of Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany

    Natalia Tukhlina & Michael Rosenblum

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  1. Natalia Tukhlina
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  2. Michael Rosenblum
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Correspondence to Natalia Tukhlina.

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Tukhlina, N., Rosenblum, M. Feedback Suppression of Neural Synchrony in Two Interacting Populations by Vanishing Stimulation. J Biol Phys 34, 301–314 (2008). https://doi.org/10.1007/s10867-008-9081-4

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