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Spike-rate adaptation and neuronal bursting in a mean-field model of brain activity

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Abstract

Spike-rate adaptation is investigated within a mean-field model of brain activity. Two different mechanisms of negative feedback are considered; one involving modulation of the mean firing threshold, and the other, modulation of the mean synaptic strength. Adaptation to a constant stimulus is shown to take place for both mechanisms, and limit-cycle oscillations in the firing rate corresponding to bursts of neuronal activity are investigated. These oscillations are found to result from a Hopf bifurcation when the equilibrium lies between the local maximum and local minimum of a given nullcline. Oscillations with amplitudes significantly below the maximum firing rate are found over a narrow range of possible equilibriums.

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Authors and Affiliations

  1. School of Physics, The University of Sydney, Sydney, NSW, 2006, Australia

    P. N. Loxley & P. A. Robinson

  2. Brain Dynamics Center, Westmead Millennium Institute, Westmead Hospital and The University of Sydney, Westmead, NSW, 2145, Australia

    P. N. Loxley & P. A. Robinson

  3. Faculty of Medicine, The University of Sydney, Sydney, NSW, 2006, Australia

    P. A. Robinson

Authors
  1. P. N. Loxley
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  2. P. A. Robinson
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Correspondence to P. N. Loxley.

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Loxley, P.N., Robinson, P.A. Spike-rate adaptation and neuronal bursting in a mean-field model of brain activity. Biol Cybern 97, 113–122 (2007). https://doi.org/10.1007/s00422-007-0157-1

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  • DOI: https://doi.org/10.1007/s00422-007-0157-1

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