Resonance, synchronization, and lexical redundancy in the expanding dynamics of brain stem neurons

Arnold J. Mandell M.D.; Karen A. Selz

doi:10.1117/12.162703

5 November 1993 Resonance, synchronization, and lexical redundancy in the expanding dynamics of brain stem neurons

Arnold J. Mandell M.D., Karen A. Selz

Proceedings Volume 2036, Chaos in Biology and Medicine; (1993) https://doi.org/10.1117/12.162703
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Interspike interval patterns of brain stem neurons that project directly or indirectly to much of the neocortex interactively influence electroencephalographically-defined states of consciousness and modulate patterns of temporal-spatial coherence, `binding,' in cortical field potential oscillations. Neurochemical classes of brain stem neurons manifest discriminable dynamical characteristics apart from the statistics of their firing rates. These sequences of interspike intervals are not well described by either harmonic functions or the Poisson statistics of renewal processes. We cast these patterns within the context of information bearing processes by using moment partitions and symbolic dynamics. We describe the expanding behavior of model and real brain stem neurons in relationship to states of resonance (the presence of complex singularities in the power spectrum with amplitudes related to the persistence of unstable fixed points in the nonexponential decay of correlations), synchronization (how closely the measure of maximal entropy comes to equaling the Sinai- Ruelle-Bowen area measure), and lexical redundancy (as repetitions of symbol subsequences).

Citation Download Citation

Arnold J. Mandell M.D. and Karen A. Selz "Resonance, synchronization, and lexical redundancy in the expanding dynamics of brain stem neurons", Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); https://doi.org/10.1117/12.162703

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available