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A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals

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  • Contoyiannis, Yiannis F.
  • Kosmidis, Efstratios K.
  • Diakonos, Fotios K.
  • Kampitakis, Myron
  • Potirakis, Stelios M.

Abstract

The recently introduced [Contoyiannis et al., 2021] hybrid artificial neural network can simulate the dynamics of membrane potential fluctuations of real neurons based on fundamental principles of Physics. Here, we propose a temporal description of the membrane potential fluctuations, which resembles the soliton solutions in φ4 field theory. Within this framework, kink-antikink dynamics are associated with spike generation. Furthermore, we show that the simulation can also reproduce the distribution of inter-spike intervals of biological neurons in their critical state [Kosmidis et al., 2018]. A proposal for the intermittency origin of these fluctuations is discussed.

Suggested Citation

  • Contoyiannis, Yiannis F. & Kosmidis, Efstratios K. & Diakonos, Fotios K. & Kampitakis, Myron & Potirakis, Stelios M., 2022. "A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003253
    DOI: 10.1016/j.chaos.2022.112115
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    References listed on IDEAS

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    1. Contoyiannis, Y.F. & Potirakis, S.M. & Diakonos, F.K. & Kosmidis, E.K., 2021. "Criticality in a hybrid spin model with Fermi–Dirac statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).
    2. Björn Naundorf & Fred Wolf & Maxim Volgushev, 2006. "Unique features of action potential initiation in cortical neurons," Nature, Nature, vol. 440(7087), pages 1060-1063, April.
    3. Potirakis, Stelios M. & Contoyiannis, Yiannis & Eftaxias, Konstantinos, 2019. "Lévy and Gauss statistics in the preparation of an earthquake," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
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