| When frequencies never synchronize: the golden mean and the resting EEG. | |
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MedLine Citation:
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PMID: 20350536 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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The classical frequency bands of the EEG can be described as a geometric series with a ratio (between neighbouring frequencies) of 1.618, which is the golden mean. Here we show that a synchronization of the excitatory phases of two oscillations with frequencies f1 and f2 is impossible (in a mathematical sense) when their ratio equals the golden mean, because their excitatory phases never meet. Thus, in a mathematical sense, the golden mean provides a totally uncoupled ('desynchronized') processing state which most likely reflects a 'resting' brain, which is not involved in selective information processing. However, excitatory phases of the f1- and f2-oscillations occasionally come close enough to coincide in a physiological sense. These coincidences are more frequent, the higher the frequencies f1 and f2. We demonstrate that the pattern of excitatory phase meetings provided by the golden mean as the 'most irrational' number is least frequent and most irregular. Thus, in a physiological sense, the golden mean provides (i) the highest physiologically possible desynchronized state in the resting brain, (ii) the possibility for spontaneous and most irregular (!) coupling and uncoupling between rhythms and (iii) the opportunity for a transition from resting state to activity. These characteristics have already been discussed to lay the ground for a healthy interplay between various physiological processes (Buchmann, 2002). |
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Authors:
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Belinda Pletzer; Hubert Kerschbaum; Wolfgang Klimesch |
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Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't Date: 2010-03-27 |
Journal Detail:
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Title: Brain research Volume: 1335 ISSN: 1872-6240 ISO Abbreviation: Brain Res. Publication Date: 2010 Jun |
Date Detail:
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Created Date: 2010-05-21 Completed Date: 2010-12-13 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0045503 Medline TA: Brain Res Country: Netherlands |
Other Details:
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Languages: eng Pagination: 91-102 Citation Subset: IM |
Copyright Information:
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Copyright 2010 Elsevier B.V. All rights reserved. |
Affiliation:
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Department of Cell Biology, University of Salzburg, Salzburg, Austria. |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Action Potentials
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physiology Biological Clocks / physiology* Cerebral Cortex / physiology* Computer Simulation Cortical Synchronization Electroencephalography / methods* Evoked Potentials / physiology* Humans Nerve Net / physiology Neural Pathways / physiology Neurons / physiology Stochastic Processes Synaptic Transmission / physiology |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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