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Temperature-modulated synchronization transition in coupled neuronal oscillators

Yasuomi D. Sato1,2,3,*, Keiji Okumura4, Akihisa Ichiki4, Masatoshi Shiino4, and Hideyuki Câteau3,1,†

  • 1Department of Brain Science and Engineering, Graduate School of Life Science and Systems Engineering, Kyushu Institute of Technology, 2-4 Hibikino, Wakamatsu, Kitakyushu 808-0196, Japan
  • 2Frankfurt Institute for Advanced Studies (FIAS), Johann Wolfgang Goethe University, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main, Germany
  • 3RIKEN BSI-TOYOTA Collaboration Center, RIKEN Brain Science Institute, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
  • 4Department of Physics, Faculty of Science, Tokyo Institute of Technology, 2-12-1 Ohokayama, Meguro-ku, Tokyo 152-8551, Japan

  • *sato-y@brain.kyutech.ac.jp; sato@fias.uni-frankfurt.de
  • †cateau@brain.riken.jp
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Phys. Rev. E 85, 031910 – Published 15 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.031910

Abstract

We study two firing properties to characterize the activities of a neuron: frequency-current (f-I) curves and phase response curves (PRCs), with variation in the intrinsic temperature scaling parameter (μ) controlling the opening and closing of ionic channels. We show a peak of the firing frequency for small μ in a class I neuron with the I value immediately after the saddle-node bifurcation, which is entirely different from previous experimental reports as well as model studies. The PRC takes a type II form on a logarithmic f-I curve when μ is small. Then, we analyze the synchronization phenomena in a two-neuron network using the phase-reduction method. We find common μ-dependent transition and bifurcation of synchronizations, regardless of the values of I. Such results give us helpful insight into synchronizations tuned with a sinusoidal-wave temperature modulation on neurons.

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Phys. Rev. E 85, 031910– Published 15 March, 2012
  • Received 18 November 2011

©2012 American Physical Society

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