The anomalous mole fraction effect in Chara:: Gating at the edge of temporal resolution

The anomalous mole fraction effect (AMFE) of the K+ channel in excised patches of the tonoplast of Chara showed a minimum of apparent open-channel current at 20 mM Tl+ and 230 mM K+. Time series obtained at a sampling rate of 100 kHz (filter 25 kHz) were analyzed by three methods to find out whether the AMFE results from an effect on gating or on the conductivity of the open state. Fitting the amplitude histograms by a superposition of gaussians showed a broadening in the presence of Tl+. Dwell-time analysis based on an O-O-C-C-C model failed to evaluate rate constants above the filter frequency. Thus, the absence of any reduction of apparent open-channel current in time series simulated with the evaluated rate constants could not be taken as evidence against the hypothesis of gating. Finally, a direct fit of the measured time series using five different 5-state Hidden Markov models revealed that the presence of Tl+ changed the rate constants in such a way that the number of transitions into the short-lived open state (30 mus) increased strongly compared to those in the absence of Tl+. These models explain 25% reduction of apparent single-channel current amplitude through a rapid gating mechanism.