Modeling of the Mechanism of the Electrical Transmembrane Potential Influence on the Hurst Exponents in the Sequence of Lifetimes of a Single Ion Channel

Abstract

It is known from experimental studies that the Hurst exponent, which characterizes the degree of correlation of events in the sequence of channel lifetimes in the open and closed states, depends on the electrical transmembrane potential. However, the mechanism of this phenomenon remains unclear. In this study, we have constructed a model that enabled us to describe this phenomenon. Using the model, the dependencies of the Hurst exponent on the electrical transmembrane potential were calculated. It has been shown that the best agreement between theoretical and experimental data was observed when the dependence of the hydrophobic factor on the electrical transmembrane potential has been taken into account.