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A critical firing rate associated with tonic-to-bursting transitions in synchronized gap-junction coupled neurons

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Abstract

A transition between tonic and bursting neuronal behaviors is studied using a linear chain of three electrically coupled model neurons. Numerical simulations show that, depending on their individual dynamical states, the neurons first synchronize either in a tonic or in a bursting regime. Additionally, a characteristic firing rate, mediating tonic-to-bursting transitions in networked neurons, is found to be associated with a firing rate encountered in the single neuron’s equivalent transition. A few cases describing this peculiar phenomenon are presented.

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Authors and Affiliations

  1. Department of Physics, Illinois State University, Normal, IL, 61790, USA

    Annabelle Shaffer, Rosangela Follmann, Allison L. Harris & Epaminondas Rosa Jr.

  2. School of Biological Sciences, Illinois State University, Normal, IL, 61790, USA

    Rosangela Follmann & Epaminondas Rosa Jr.

  3. School of Physics, University of Sydney, New South Wales, Sydney, Australia

    Svetlana Postnova

  4. Institute of Physiology, University of Marburg, 35037, Marburg, Germany

    Hans Braun

Authors
  1. Annabelle Shaffer
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  2. Rosangela Follmann
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  3. Allison L. Harris
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  4. Svetlana Postnova
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  5. Hans Braun
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  6. Epaminondas Rosa Jr.
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Correspondence to Epaminondas Rosa Jr..

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Shaffer, A., Follmann, R., Harris, A.L. et al. A critical firing rate associated with tonic-to-bursting transitions in synchronized gap-junction coupled neurons. Eur. Phys. J. Spec. Top. 226, 1939–1951 (2017). https://doi.org/10.1140/epjst/e2017-70024-6

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  • DOI: https://doi.org/10.1140/epjst/e2017-70024-6

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