Statistical properties of dichotomous noise generated in biomolecular processes
Dichotomous signals detected with the help of patch-clamp technique or single-molecule fluorescence spectroscopy are the most convincing manifestation of the actual occurrence of a stochastic transition dynamics between multitude conformational substates in native proteins. The nature of this dynamics is determined by particular stochastic properties if the dichotomous noise observed. These involve non-exponential and possibly oscillatory time decay of the second order autocorrelation function, its relation to the third order autocorrelation function as well as a relation to waiting time distribution densities and their correlations. Besides a general introduction to the problem, the simple model of biological processes gated by specific conformational substates is considered in detail. The study throws light on an intriguing matter of a multiple stepping possibility of the myosin motor along the actin filament per one ATP molecule hydrolysed.