A mathematical model of the inter neuronal transmissions of signals and causalities : A model which describes the 2-potential barriers on synapse, with synchronizing and de-synchronizing mechanisms

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  • NAGANO Michinori
    Nakagawa laboratory, Department of Electrical Engineering, Faculty of Engineering, Nagaoka University of Technology
  • NAKAGAWA Masahiro
    Nakagawa laboratory, Department of Electrical Engineering, Faculty of Engineering, Nagaoka University of Technology

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  • 刺激と因果性のニューロン間伝達の数理モデル : シナプスにおける2つのポテンシャルバリアの記述による同期化, 脱同期化機構のモデル

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Abstract

Different phenomena are found in the phase characteristics between pre-synapse neuronal activities and post-synapse activities, that is observed from human EEG, appeared in the states of its spacial mode and the instantaneous alternations of phase states. It is assumed that there would be a mutual interaction by the internal mechanism between two neurons, passing through the only one synapse. We put forward a model, in which the event is caused by making the synaptic connection temporally and spontaneous1y, that is the trigger of the mutual interaction on phase states with transmitting a signal from the post-synapse to pre-synapse. Two potential barriers are described on the synapse, with being supposed that the opening and emitting mechanism for transmitters a1so exists in the post-synapse. If the energy is 1ocally induced, the control factors related to the activities of synaptic vesiculars are released, this factor acts on the barriers and the causality over neuronal activities are spontaneously emerged.

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