Temperature-modulated synchronization transition in coupled neuronal oscillators

Yasuomi D. Sato, Keiji Okumura, Akihisa Ichiki, Masatoshi Shiino, Hideyuki Cĝteau

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Article number031910
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number3
DOIs
Publication statusPublished - 2012 Mar 15
Externally publishedYes

Fingerprint

neurons
Neuron
synchronism
Synchronization
oscillators
phase response
Curve
curves
Saddle-node Bifurcation
temperature
saddles
closing
Reduction Method
Immediately
Logarithmic
Modulation
Bifurcation
Scaling
modulation
scaling

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Temperature-modulated synchronization transition in coupled neuronal oscillators. / Sato, Yasuomi D.; Okumura, Keiji; Ichiki, Akihisa; Shiino, Masatoshi; Cĝteau, Hideyuki.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 85, No. 3, 031910, 15.03.2012.

Research output: Contribution to journalArticle

Sato, Yasuomi D. ; Okumura, Keiji ; Ichiki, Akihisa ; Shiino, Masatoshi ; Cĝteau, Hideyuki. / Temperature-modulated synchronization transition in coupled neuronal oscillators. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2012 ; Vol. 85, No. 3.
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