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Ion current fluctuations occurring within open and closed states of largeconductance locust potassium channel (BK channel) were investigated for theexistence of correlation. Both time series, extracted from the ion currentsignal, were studied by the autocorrelation function (AFA) and the detrendedfluctuation analysis (DFA) methods. The persistent character of the short- andmiddle-range correlations of time series is shown by the slow decay of theautocorrelation function. The DFA exponent $\alpha$ is significantly largerthan 0.5. The existence of strongly-persistent long-range correlations wasdetected only for closed-states fluctuations, with $\alpha=0.98\pm0.02$. Thelong-range correlation of the BK channel action is therefore determined by thecharacter of closed states. The main outcome of this study is that the memoryeffect is present not only between successive conducting states of the channelbut also independently within the open and closed states themselves. As the ioncurrent fluctuations give information about the dynamics of the channelprotein, our results point to the correlated character of the protein movementregardless whether the channel is in its open or closed state.Comment: 12 pages, 5 figures; to be published in Phys. Rev.

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Correlation studies of open and closed state fluctuations in an ion channel: Analysis of ion current through a large-conductance locust potassium channel