5 November 1993 Resonance, synchronization, and lexical redundancy in the expanding dynamics of brain stem neurons
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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).
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Arnold J. Mandell, Arnold J. Mandell, Karen A. Selz, 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); doi: 10.1117/12.162703; https://doi.org/10.1117/12.162703


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