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The Journal of Neuroscience, March 1, 1998, 18(5):1893-1903
Interaction between Duration of Activity and Time Course of
Recovery from Slow Inactivation in Mammalian Brain Na+
Channels
Amir
Toib,
Vladimir
Lyakhov, and
Shimon
Marom
The Bernard Katz Minerva Center for Cell Biophysics, Department of
Physiology, Faculty of Medicine, Technion, and The Rappaport Institute
for Research in the Medical Sciences, Haifa 31096, Israel
NaII and NaIIA channels are the most abundant voltage-gated
channels in neonatal and adult cortex, respectively. The relationships between activity and availability for activation of these channels were
examined using the Xenopus expression system. The main
point of this work is that the time constant ( ) of recovery
from the unavailable (inactivated) pool is related to the duration
(t) of previous activation by a power law:
(t) = p · tD, with a scaling power
D congruent to 0.8 and 0.5 for NaII and NaIIA,
respectively, and p as a constant kinetic setpoint.
These relationships extend from tens of milliseconds to several minutes and are intrinsic to the channel protein. Coexpression of  1
auxiliary subunit, together with the  subunit of the NaIIA channel,
modulates the constant kinetic setpoint but not the scaling power of
the latter. The power law scaling between activity and availability is
not a universal property of ion channels; unlike that of voltage-gated sodium channels, the rate of recovery from slow inactivation of the
ShakerB channel is virtually insensitive to the duration of previous
stimuli. It is suggested that the power law scaling described here can
act as a molecular memory mechanism that preserves traces of previous
activity, over a wide range of time scales, in the form of modulated
reaction rates. This mechanism should be considered when theorizing
about the dynamics of threshold and firing patterns of neurons.
Key words:
sodium channel; ion channel; inactivation; excitability; power law; scaling
Copyright © 1998 Society for Neuroscience 0270-6474/98/1851893-11$05.00/0
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