REVISED APPROACH TO STATISTICAL ANALYSIS OF IONIC CURRENT FLUCTUATIONS

We study properties of ion current through a high conductance locust potassium channel. Applying the p-variation test to the current signal we exclude the continuous time random walk (CTRW) as an underlying mechanism of the current fluctuations. Instead, we show that a fractional Brownian motion (FBM) should be considered as the most suitable stochastic model of the ionic channel action. Using the sample mean square displacement (sample MSD) test we bring to light the superdiffusive, persistent properties of the studied current. To illustrate the obtained results, we propose a simple hydrodynamic approximation of the effective charge transport.