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Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 1):041914. Epub 2010 Oct 20.

Mean square displacement analysis of single-particle trajectories with localization error: Brownian motion in an isotropic medium.

Author information

1
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

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.

PMID:
21230320
PMCID:
PMC3055791
DOI:
10.1103/PhysRevE.82.041914
[Indexed for MEDLINE]
Free PMC Article

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