A spike-forming model of the neural membrane

Abstract

A model of the neural membrane is described, based on a set of "convertible gates" on its inner surface. The atomic arrangement of a gate is specified to be subject to modification by a set of chemical reactions, sometimes permitting sodium ions, sometimes potassium ions, sometimes neither, to have access to the transmembrane channel it guards. Reaction rate and current/voltage equations are developed, values assigned to the parameters, and computer solutions obtained. Under pulse or continuous stimulating current the model is found to generate action potential spikes closely similar in height and shape to those of real neurons. Other electrical properties are also relatively neuron-like.

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