Method for the parameters estimating of microparticles motion along the trajectories under uncertainty

Abstract

Developed a method for computer analysis of the microparticles motion parameters along trajectories, based on the proposed A. A. Vavilov principle consistent disclosure of structural, parametrical and signal uncertainty. Signal uncertainty is caused by instrumental and methodological errors in the localization of microparticles position in the trajectories resulting from image processing. The difference in the types of motion of the particles leads to the need to consider several structures models: free, anomalous or confined diffusion, directed motion, etc. The identification of model parameters (diffusion coefficients, velosity, etc.) is realized by a method of weighted least squares. Structural identification is performed using information criteria BIC, AIC, R2adj. The method is implemented in a network software package and allows to perform analysis of the trajectories in the automatic mode. Application of method showed comparable or superior results compared to the known.