PMID: 22587126May 17, 2012Paper

Temperature-modulated synchronization transition in coupled neuronal oscillators

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yasuomi D SatoHideyuki Câteau

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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Citations

Aug 26, 2014·Neural Computation·Yasuomi D Sato, Kazuyuki Aihara
Oct 1, 2013·The European Physical Journal. Special Topics·Gani S AssanovAlexander B Neiman

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