title: Mean square displacement analysis of single-particle trajectories with localization error: Brownian motion in an isotropic medium.
abstract: We examine the capability of mean square displacement (MSD) analysis to extract reliable values of the diffusion coefficient D of a single particle undergoing Brownian motion in an isotropic medium in the presence of localization uncertainty. The theoretical results, supported by simulations, show that a simple unweighted least-squares fit of the MSD curve can provide the best estimate of D provided an optimal number of MSD points are used for the fit. We discuss the practical implications of these results for data analysis in single-particle tracking experiments.
authors.affiliation: Department of Chemistry & Biochemistry, University of California at Los Angeles, 607 Charles E. Young Drive E., Los Angeles, California 90095, USA. michalet@chem.ucla.edu
authors.forename: Xavier
authors.initials: X
authors.lastname: Michalet
mesh_terms: D008962:Models, Theoretical; D009038:Motion; D035501:Uncertainty