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On the Complexity of Logic-Dynamics in Brain

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Complexity and Diversity

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Abstract

The complexity theory of interactions among functional levels in brain is developed. In particular, a possible interplay between the logical process and the sensory information processings is highlighted. In this respect, we deal with the transformation between a logical statement and a dynamical system, in relation with dynamics of neurons or neural assemblies. Both internal and external views for the threshold or the switching mechanism of neuron is discussed. An external view is generally represented by dynamical systems, which is assured here by the plausibility of conventional population dynamics. The internal view in the present context is assured by the existence of logical process of macromolecules in the pre- and/or post-synaptic membranes of neuron. Thus the internal view provides logic-based dynamics. There always exist two interpretations for the logic-based dynamics, which lead internal and external dynamics, respectively. The internal dynamics brings about the threshold-related characteristics of neuron, clue to its chaotic behaviors, whereas the external one provides a periodic behavior only. With this internal theory, we develop the hermeneutic theory for interfacial dynamics of different levels of neural assemblies, and for the notion of stability of self-description.

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Author information

Authors and Affiliations

  1. Applied Mathematics and Complex Systems Research Group, Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo, 060, Japan

    Ichiro Tsuda

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  1. Ichiro Tsuda
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Editors and Affiliations

  1. Department of Bioscience, Fukui Prefectural University, 4-1-1 Kenjojima, Matsuoka-cho, Yoshida-gun, Fukui, 910-11, Japan

    Eiichi Ryoku Nakamura

  2. Department of Applied Physics, Fukui University, 3-9-1 Bunkyo, Fukui, 910, Japan

    Kiyoshi Kudo  & Yoichi Tamagawa  & 

  3. Center of Information Science, Fukui Prefectural University, 4-1-1 Kenjojima, Matsuoka-cho, Yoshida-gun, Fukui, 910-11, Japan

    Osamu Yamakawa

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© 1997 Springer-Verlag Tokyo

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Tsuda, I. (1997). On the Complexity of Logic-Dynamics in Brain. In: Nakamura, E.R., Kudo, K., Yamakawa, O., Tamagawa, Y. (eds) Complexity and Diversity. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66862-6_4

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  • DOI: https://doi.org/10.1007/978-4-431-66862-6_4

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66864-0

  • Online ISBN: 978-4-431-66862-6

  • eBook Packages: Springer Book Archive

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