Derivation of 1/f fluctuations by means of the spatial coarse-graining method for a neural network model
✍ Scribed by Yoshinobu Kamitani; Hiroki Suyari; Ikuo Matsuba
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 1016 KB
- Volume
- 87
- Category
- Article
- ISSN
- 1042-0967
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✦ Synopsis
Abstract
The 1/f spectra that appear in electroencephalogram data are among the characteristics that appear in the wide range of self‐organizing phenomena encompassing both physical and sociological phenomena. The fact that they appear across the various objects suggests that the underlying cause of the 1/f spectra can be elucidated by using a simplified model that does not depend on the detailed structure of the objects. This paper, treating the electroencephalogram as a macro‐quantity of neuron activities, demonstrates the existence of a self‐similar solution through the spatial‐temporal coarse‐graining of a neural network, which is a simplified model of the brain. The self‐similar solution in fact leads to the derivation of a 1/f spectrum. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 87(1): 72–81, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.10016