Abstract
In this note some of the basic hypotheses used by N. Rashevsky in his studies of nonperiodic oscillations in cerebral wave patterns (Bull. Math. Biophys., Vol.33, 1971) are reconsidered. The concept of chemical pass-band filters is suggested to develop models which account for several aspects of the electrical cortex activity rhythms.
A very simple system is then used to demonstrate that certain non-linearities might explain the disappearance of the alpha rhythm as well as the appearance of waves at different frequencies.
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Bibliographie
Blanc-Lapierre, A. et B. Picinbono. 1961.Propriétés statistiques du bruit de fond. Paris: Masson et Cie.
Hyver, C. 1971. Réactions chimiques couplées considérées en tant que filtres passebande.Bull. Math. Biology,35, 319–337.
Rashevsky, N. 1971. “A Note on Nonperiodic Undamped Oscillations, with Special Reference to Brain Waves.”Bull. Math. Biophys.,33, 281–293.
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Hyver, C. Filtres passe-bande chimiques et oscillations non periodiques. Bltn Mathcal Biology 35, 459–466 (1973). https://doi.org/10.1007/BF02575189
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DOI: https://doi.org/10.1007/BF02575189