Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (11): 1415-1428.doi: https://doi.org/10.1007/s10483-009-1107-y

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Neurodynamics analysis of brain information transmission

WANG Ru-Bin1, ZHANG Zhi-Kang1, Chi K. Tse2   

  1. 1. Institute for Cognitive Neurodynamics, School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, P. R. China;
    2. Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, P. R. China
  • Received:2009-03-23 Revised:2009-09-28 Online:2009-12-02 Published:2009-11-01

Abstract: This paper proposes a model of neural networks consisting of populations of perceptive neurons, inter-neurons, and motor neurons according to the theory of stochastic phase resetting dynamics. According to this model, the dynamical characteristics of neural networks are studied in three coupling cases, namely, series and parallel coupling, series coupling, and unilateral coupling. The results show that the indentified structure of neural networks enables the basic characteristics of neural information processing to be described in terms of the actions of both the optional motor and the reflected motor. The excitation of local neural networks is caused by the action of the optional motor. In particular, the excitation of the neural population caused by the action of the optional motor in the motor cortex is larger than that caused by the action of the reflected motor. This phenomenon indicates that there are more neurons participating in the neural information processing and the excited synchronization motion under the action of the optional motor.

Key words: serial and parallel model of neural networks, phase coding, synchronous motion, perception neuron, inter-neuron, motor neuron, population of neural oscillators

2010 MSC Number: 

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