Ja. White et al., NOISE FROM VOLTAGE-GATED ION CHANNELS MAY INFLUENCE NEURONAL DYNAMICSIN THE ENTORHINAL CORTEX, Journal of neurophysiology, 80(1), 1998, pp. 262-269
Neurons of the superficial medial entorhinal cortex (MEC), which deliv
er neocortical input to the hippocampus, exhibit intrinsic, subthresho
ld oscillations with slow dynamics. These intrinsic oscillations, driv
en by a persistent Na+ current and a slow outward current, may help to
generate the theta rhythm, a slow rhythm that plays an important role
in spatial and declarative learning. Here we show that the number of
persistent Na+ channels underlying subthreshold oscillations is relati
vely small (<10(4)) and use a physiologically based stochastic model t
o argue that the random behavior of these channels may contribute cruc
ially to cellular-level responses. In acutely isolated MEC neurons und
er voltage clamp, the mean and variance of the persistent Na+ current
were used to estimate the single channel conductance and voltage-depen
dent probability of opening. A hybrid stochastic-deterministic model w
as built by using voltage-clamp descriptions of the persistent and fas
t-inactivating Na+ conductances, along with the fast and slow K+ condu
ctances. All voltage-dependent conductances were represented with nonl
inear ordinary differential equations, with the exception of the persi
stent Na+ conductance, which was represented as a population of stocha
stic ion channels. The model predicts that the probabilistic nature of
Na+ channels increases the cell's repertoire of qualitative behaviors
; although deterministic models at a particular point in parameter spa
ce can generate either subthreshold oscillations or phase-locked spike
s (but rarely both), models with an appropriate level of channel noise
can replicate physiological behavior by generating both patterns of e
lectrical activity for a single set of parameters. Channel noise may c
ontribute to higher order interspike interval statistics seen in vitro
with DC current stimulation. Models with channel noise show evidence
of spike clustering seen in brain slice experiments, although the effe
ct is apparently not as prominent as seen in experimental results. Cha
nnel noise may contribute to cellular responses in vivo as well; the s
tochastic system has enhanced sensitivity to small periodic stimuli in
a form of stochastic resonance that is novel (in that the relevant no
ise source is intrinsic and voltage-dependent) and potentially physiol
ogically relevant. Although based on a simple model that does not incl
ude all known membrane mechanisms of MEC stellate cells, these results
nevertheless imply that the stochastic nature of small collections of
molecules may have important effects at the cellular and network leve
ls.