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Neuronal avalanches: Where temporal complexity and criticality meet

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Abstract.

The model of the current paper is an extension of a previous publication, wherein we have used the leaky integrate-and-fire model on a regular lattice with periodic boundary conditions, and introduced the temporal complexity as a genuine signature of criticality. In that work, the power-law distribution of neural avalanches was a manifestation of supercriticality rather than criticality. Here, however, we show that the continuous solution of the model and replacing the stochastic noise with a Gaussian zero-mean noise leads to the coincidence of power-law display of temporal complexity, and spatiotemporal patterns of neural avalanches at the critical point. We conclude that the source of inconsistency may be a numerical artifact originated by the discrete description of the model which may imply a slow numerical convergence of the avalanche distribution compared to temporal complexity.

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Authors and Affiliations

  1. Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran

    Mohammad Dehghani-Habibabadi & Farhad Shahbazi

  2. School of Computer Science, Institute for Research in Fundamental Sciences (IPM), 19395-5746, Tehran, Iran

    Marzieh Zare

  3. School of Physics, Institute for Research in Fundamental Sciences (IPM), 19395-5531, Tehran, Iran

    Farhad Shahbazi

  4. Department of Physics, Shahid Beheshti University, 19839, Tehran, Iran

    Javad Usefie-Mafahim

  5. Center for Nonlinear Science, University of North Texas, 76203, Denton, TX, USA

    Paolo Grigolini

Authors
  1. Mohammad Dehghani-Habibabadi
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  2. Marzieh Zare
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  3. Farhad Shahbazi
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  4. Javad Usefie-Mafahim
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  5. Paolo Grigolini
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Correspondence to Marzieh Zare.

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Dehghani-Habibabadi, M., Zare, M., Shahbazi, F. et al. Neuronal avalanches: Where temporal complexity and criticality meet. Eur. Phys. J. E 40, 101 (2017). https://doi.org/10.1140/epje/i2017-11590-8

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