Presentation 2007-03-14
An estimation method of phase-response curves in neural oscillators and an analysis for their oscillatory stability
Masanori ATO, Takashi TATENO,
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Abstract(in English) Recently, in the somatosensory cortex, the details of neural connections formed by several types of GABAergic interneurons have become apparent. However, little is known about which role each type of interneurons plays at the local network level. In this study, we focused on investigating roles of one type of interneurons, fast spiking (FS) cells, and their K^+ channels in a regular spiking behavior. To obtain more insight into this from the viewpoint of nonlinear dynamical systems, we recorded membrane-voltage responses (phase resetting curves, PRCs) to small perturbation current during periodic membrane-voltage oscillations for FS interneurons. Then, we applied a recent method from random dynamical system theory to estimate Lyapunov exponents for noisy one-dimensional phase-equations on the circle, to analyze the experimentally-obtained PRCs. The results indicated that Kv3.1-3.2 channel-like current has significant effects on the stability of regular spiking in the interneurons. This work should help to elucidate the mechanism of synchronized oscillations in the complex cortical networks.
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Keyword(in English) fast-spiking cell / Lyapunov exponents / phase-equation / random dynamical systems
Paper # NC2006-125
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Committee NC
Conference Date 2007/3/7(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An estimation method of phase-response curves in neural oscillators and an analysis for their oscillatory stability
Sub Title (in English)
Keyword(1) fast-spiking cell
Keyword(2) Lyapunov exponents
Keyword(3) phase-equation
Keyword(4) random dynamical systems
1st Author's Name Masanori ATO
1st Author's Affiliation Graduate School of Engineering Science, Osaka University()
2nd Author's Name Takashi TATENO
2nd Author's Affiliation Graduate School of Engineering Science, Osaka University
Date 2007-03-14
Paper # NC2006-125
Volume (vol) vol.106
Number (no) 588
Page pp.pp.-
#Pages 6
Date of Issue