Discriminating molecular diffusion signals using detrended fluctuation analysis
Abstract
Discrimination of diffusion signals generated by a Monte Carlo program is employed using a scaling analysis method known as detrended fluctuation analysis (DFA). Diffusion of a single molecule inside a microscope focal spot is characterized using a correlation parameter α which categorizes the type of motion of the molecule. When used with a noisy background, changes in α reveal the existence of crossover points – transition points dividing the series into regions where the diffusion signal dominates over the noise. This provides the information of the proper window scale to observe and discriminate diffusion from noise. Crossover behavior analysis from the DFA was extended to discriminate diffusion properties of two-molecule species. The method is successful in differentiating multi-species diffusion.