Can membrane excitation be described without a membrane capacity?

A simplified model of excitation is introduced in which the membrane capacity is ignored. It is shown that: (1) Threshold, action potentials, and strength-duration relation can be reproduced by a membrane without a capacity, even for a very simplified model. (2) The delayed build up of the sodium conductance can mimic a membrane capacity. (3) A constant potential stimulus can be used to reveal the influence of the membrane capacity, eventually combined with a feed back mechanism which reduces the effect of the capacity. (4) The effect of the membrane capacity depends on the ratio between the membrane time constant and the time constant for the fast conductance changes.