A control analysis of neuronal information processing: A study of electrophysiological experimentation and non-equilibrium information theory

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Abstract

A model of information transmission across a neuron is delineated in terms of source (stimulus)-encoder-channel-decoder-behaviour (response). From cybernetic analysis of experimental data, we perform frequency/time domain and stability analyses and obtain the Bode, Nichols and Nyquist plots, Root locus plane, transfer function and response equation, all confirmed by data. We consider a new paradigm of information theory based on nonequilibrium dynamics of fluctuation, organization and information (Nicolis-Prigogine), that is the counterpart of Shannon-Boltzmann approach to information-entropy based on equilibrial dynamics. The Prigogine theorem of minimum entropy production and Rosen’s principle of optimum design were observed to characterize neural transmission in a particular test neuron operating near optimal sensitivity regime. Using Nyquist theorem and generalized temperature concept, we compute a non-equilibrial entropy production and neurodynamic temperature equivalent during neural information processing. A trans-information/temperature plot implies an order-disorder Bose transition and zero neurodynamic entropy (near 00N) as informational analog of third law of thermodynamics (near 00K). Neural applications are explored.

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Roy, P. K., Miller, J. P., & Dutta Majumder, D. (2002). A control analysis of neuronal information processing: A study of electrophysiological experimentation and non-equilibrium information theory. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2275, pp. 191–203). Springer Verlag. https://doi.org/10.1007/3-540-45631-7_27

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