発振器の相互結合現象について : 脳と神経の電気回路的, 数学的モデルについて

Abstract

ここでは脳と神経の機能の電気回路的及び数学的モデルを作ることを考察した.そこで先づ脳と神経の機能についてその概略を文献(1)によって解説し,今日迄に考えられたモデルのうち,南雲氏の能動線路(ニュリスターモデル)と,W.G.ウォルター氏のマシナ・スペクラトリクスについてその特質を述べ,筆者の考えたモデルとの比較を試みた.その後,その数学的解法としてKrylov-Bogoliubov氏の漸近法と平均化法の筆者によって工夫された改良型を述べ,筆者の考えた一番簡単な場合について,その解法を試みた.

This paper deals with the mathematical model and the electrical one, of man's nervous systems and brain, which will be useful for the medical electronics and a automatic control engineer, and consists of four parts. First, We are devoted to the main properties and the organisms of nervous system and brain, with which the models have to possese. Second, Nagumo's active line model, that is neuristor, and Walter's speculatrix are described. Since these models have very interesting properties, there is the description about these models and their characters in details. Third, Our proposing models are studied mathematically and signal -flow- graphically, and are compared with the above described models. Finally, Electronic circuits using tunnel diode are dealed with, which is only one example of our models, and therefore, other models having the interesting properties may be made of electronically possible.