A model is proposed for activation of potassium ion channel current, I
K, in squid giant axons, which consists of two closed states and one o
pen state. The rate parameter in the forward direction between the two
closed states depends upon previous history. That is, it relaxes expo
nentially to its steady-state value appropriate to the membrane potent
ial of a voltage clamp step rather than change instantaneously as in t
raditional models of channel gating. The model successfully describes
both the enhancement of the delay in activation of IK With relatively
negative prepulse potentials, i.e. the Cole-Moore effect, and the time
-dependent rising phase of ''on'' gating current, which has been repor
ted recently for several types of potassium channels. (C) 1995 Academi
c Press Limited