Abstract
Neuron dynamics, shown by an excitable membrane, were replicated using a two-terminal electronic circuit (Murai et al. 1977; Hoshimiya et al. 1979), which was composed of four diffierent kinds of current: corresponding to capacitance, leakage, sodium and potassium currents. The main purpose of this paper is to clarify that the electronic circuit is equivalent to the Hodgkin-Huxley equations, from a topological point of view. To this end, we introduce continuous differential equations reproducing bifurcation structures shown quantitatively by the electronic circuit. In the electronic circuit, the parameter EK, the potassium equilibrium potentail proposed by authors, is responsible for reproducing bifurcation structures of the Hodgkin-Huxley equation.
