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Response clustering in transient stochastic synchronization and desynchronization of coupled neuronal bursters

Alexander B. Neiman

David F. Russell* and Tatyana A. Yakusheva†

Andrew DiLullo

Peter A. Tass‡

  • Department of Physics and Astronomy and Quantitative Biology Institute, Ohio University, Athens, Ohio 45701, USA
  • Center for Neurodynamics, University of Missouri at St. Louis, St. Louis, Missouri 63121 USA

  • Center for Neurodynamics, University of Missouri at St. Louis, St. Louis, Missouri 63121 USA

  • Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA

  • Institute of Medicine, Virtual Institute of Neuromodulation, Research Center Jülich D-52425, Germany; Department of Stereotaxy and Functional Neurosurgery, University of Cologne, Cologne D-50931, Germany; and Brain Imaging Center West, Jülich D-52425, Germany

  • *Current address: Department of Biological Sciences, Ohio University, Athens, OH 45701, USA
  • †Current address: Department of Anatomy and Neurobiology, Washington University School of Medicine, 660 Euclid Avenue, St. Louis MI 63121, USA.
  • ‡Author to whom correspondence should be addressed.
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Phys. Rev. E 76, 021908 – Published 8 August, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.021908

Abstract

We studied the transient dynamics of synchronized coupled neuronal bursters subjected to repeatedly applied stimuli, using a hybrid neuroelectronic system of paddlefish electroreceptors. We show experimentally that the system characteristically undergoes poststimulus transients, in which the relative phases of the oscillators may be grouped in several clusters, traversing alternate phase trajectories. These signature transient dynamics can be detected and characterized quantitatively using specific statistical measures based on a stochastic approach to transient oscillator responses.

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Phys. Rev. E 76, 021908– Published 8 August, 2007
  • Received 17 November 2006

© 2007 American Physical Society

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