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Input-output relation of FitzHugh-Nagumo elements arranged in a trifurcated structure.

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Title: Input-output relation of FitzHugh-Nagumo elements arranged in a trifurcated structure.
Authors: Yanagita, T. Browse this author →KAKEN DB
Issue Date: Nov-2007
Publisher: American Physical Society
Journal Title: Physical Review E
Volume: 76
Issue: 5
Start Page: 056215-1
End Page: 056215-13
Publisher DOI: 10.1103/PhysRevE.76.056215
PMID: 18233747
Abstract: In this study, the propagation of an action potential in a network of excitable elements is studied numerically. The network we consider consists of excitable elements arranged in the shape of a trifurcated structure having three cables. The system has a branch point, a Y junction, at which the three cables are joined. Two types of external stimulations are considered: a single impulsive stimulation at one of the cable terminals, and a pair of stimuli applied to two different terminals. We have found three basic phases depending on the excitability of the elements for a single external stimulus as follows: (1) signal distributor-as the excitability gets higher, the pulse generated by a stimulus splits into two at the branch point, and two pulses are transmitted to the opposite terminals, (2) propagation block-the pulse in the lower excitable chain is blocked at the branch point, and (3) transient propagation-as the excitability is decreased further, we see that the pulse vanishes before reaching the branch point. By the interaction between the pulses that originate from different sources, signal transmission is recovered if the pulses arrive at the branch point nearly synchronously or after a specific delay time. The effects of the repetition of these two types of stimulation are also investigated. Complex spatiotemporal patterns occur due to pulse-pulse interaction and collisions at the branch point. The input-output relationship, which depends crucially on the repetition period and the time lag between the pair of stimuli, is characterized by the stimulus-response ratio and the interspike interval. We also show the effects of noise on the distribution of the interspike interval.
Rights: Copyright © 2007 American Physical Society
Type: article
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 柳田 達雄

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