非線形振動子による結合系神経細胞の電気的振動現象のモデル化 [in Japanese] Modeling for Electrical Oscillation Phenomena of the Coupled Nerve Cells by the Nonlinear Oscillators [in Japanese]
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The electrical activity of the nerve cell plays an important role in processing the information in the central nervous system. Hodzkin and Huxley proposed an excellent mathematical model describing its dynamics. This model, however, is difficult to desscribe the large variety of nerve cell properties, because of the higher order differential equations and many kinds of parameters. The KYS (Kimura-Yano-Shimizu) oscillator was proposed to describe the dynamics of the nerve cells. It was shown that this oscillator had the flexibile expressions for the nerve cell functions.<br>In this paper, the parameters of the KYS oscillator were determined to describe the frequency charecteristics of Hodzkin-Huxley equation. The dynamics of the coupled nerve cells were investigated by the KYS scillators with the settled parameters. Frequency entrainment and propagation of the trigger waves in many coupled oscillators were found in the range of large coupling constant, The frequency of the harmonic oscillations decreased with the coupling constant. The characteristic time and space patterns due to the oscillations were produced in the system.
- IEEJ Transactions on Sensors and Micromachines
IEEJ Transactions on Sensors and Micromachines 117(12), 1480-1487, 1997-12-01
The Institute of Electrical Engineers of Japan