Temporally coherent organization and instabilities in squid giant axons

Instabilities and dynamic structure of the modified Hodgkin-Huxley equations (Adelman & FitzHugh, 1975) for sensitized axons were studied as a function of the sodium concentration in the external medium surrounding the axon. At the same time electrophysiological activities in squid giant axons were experimentally observed to confirm the results of the numerical calculation. It was found that the resting state of the axon was thermodynamically equivalent to a thermodynamic structure of an asymptotically stable equilibrium point. The state of spontaneous repetitive firing of action potentials corresponds to the dissipative structure with a stable limit cycle. The temporally coherent organization is realized through instability of the equilibrium point.