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On the Complexity of Logic-Dynamics in Brain

In: Complexity and Diversity

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  • Ichiro Tsuda

    (Hokkaido University, Applied Mathematics and Complex Systems Research Group, Department of Mathematics, Graduate School of Science)

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.

Suggested Citation

  • Ichiro Tsuda, 1997. "On the Complexity of Logic-Dynamics in Brain," Springer Books, in: Eiichi Ryoku Nakamura & Kiyoshi Kudo & Osamu Yamakawa & Yoichi Tamagawa (ed.), Complexity and Diversity, pages 37-45, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-66862-6_4
    DOI: 10.1007/978-4-431-66862-6_4
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