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Article View: comp.theory.dynamic-sys
Article #198

Re: Refs on chaos in neural activity ?

#198
From: Donald J Casadonte
Date: Mon, 21 Dec 1992 18:21
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     As far as I know at the moment, there has been a lot of theoretical 
speculation in this area, but no real concrete proof of chaos in brain 
activity.  There was an article in Physics Letters a few years ago which 
reconstructed a possbile strange attractor for REM sleep.  You know the work of
Freeman.  Leon Glass wrote an article a few years ago on forced coupled neural 
oscillators in which he concluded that the type of neurons traditionally 
modeled in brain activity does not generate chaos.  David Terman has shown that
there is a small window for chaos in the Fitzhugh-Nagumo equation.  Much work
has been done on bursting (see Nancy kopell/ Bard Ermentrout, John Rinzel, Gail
Carpenter) and amplitude death.  Paul Rapps's work has been reprinted (see
Scientifc American for some references) in Hao Bai-lin, *Chaos* ( first
edition, not second).  Winfree has written some nice articles on coupled 
cellular populations as well.  The best journals to
look through include:  Brain and Behavior Science, Physica D, Journal of
Mathematical Biology, Journal of Mathematical Bioscience, SIAM JOurnal of
Applied Mathematics.
     I would be interested to have a copy of the bibliography when finished.
This is both a hot and cold topic at the moment, in that there is a lot of
theory and computer experimentation, but little emperical proof from humans or
higher vertebrates.  Chaos has been implicated in everything from sense of
smell to schizophrenia in the human brain.  Brain and Behavior Science spends a
lot of time arguing about these topics.  There is a lot of solid work on
dynamical systems applied to neurobiology, but not a lot yet on chaos, in my
opinion.
Donald Casadonte
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From: dcasadon@magnus.acs.ohio-state.edu (Donald J Casadonte)
Subject: Re: Refs on chaos in neural activity ?
Message-ID: <1992Dec21.182154.4670@magnus.acs.ohio-state.edu>
Keywords: chaos, brain activity, Freeman,Holden,Babloyantz
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Date: Mon, 21 Dec 1992 18:21:54 GMT
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