Stochastic description of sodium channel gating.

A stochastic model of the sodium channel is proposed. Transitions from the resting to the open state of the channel is described by the gamma distribution. The open state is temporary with an average open time T, and the channel proceeds to the inactivated state. The channel can be represented by two identical control molecules which undergo conformation transitions under changes of the electrical field. The gating of the channel is analyzed and its relation to the gating current is proposed. The movements of the control molecules are not identical with the charge movements. Charged parts of control molecules move in the electrical field of the membrane and make their conformation energetically possible. The model is represented by a set of differential equations, and explicit solutions for long depolarizing voltage steps are found. Parameters are determined to fit literary experimental data.