1997 Volume 117 Issue 12 Pages 1480-1487
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.
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.