[Variant of the Hodgkin-Huxley model with a reduced number of parameters]

The time constants of variations in sodium and potassium conductances of neural cell membrane have been investigated as a function of transmembrane potential. It is shown that the dependences can be described by the model of self-organization and self-regulation in open dynamic systems reported early. This approach has two advantages over the empirical formulae by Hodgkin and Huxley: 1) the number of parameters to be defined is substantially reduced, which simplifies modeling of real cells, and 2) the model involves a particular mechanisms by which the transmembrane potential regulates the time constants of variations in membrane conductance, which can promote further development of theoretical conceptions of the action potential generation process.