Quantitative Characterization of Changes in Dynamical Behavior for Single-Particle Tracking Studies†

D. Montiel, H. Cang, and H. Yang*
Department of Chemistry, University of California at Berkeley, and Physical Biosciences Division, Lawrence Berkeley National Laboratories, Berkeley, California 94720
J. Phys. Chem. B, 2006, 110 (40), pp 19763–19770
DOI: 10.1021/jp062024j
Publication Date (Web): July 20, 2006
Copyright © 2006 American Chemical Society
†

 Part of the special issue “Charles B. Harris Festschrift”.

,
*

 To whom correspondence should be addressed. E-mail:  hawyang@berkeley.edu.

Abstract

Single-particle tracking experiments have been used widely to study the heterogeneity of a sample. Segments with dissimilar diffusive behaviors are associated with different intermediate states, usually by visual inspection of the tracking trace. A likelihood-based, systematic approach is presented to remove this incertitude. Maximum likelihood estimators are derived for the determination of diffusion coefficients. A likelihood ratio test is applied to the localization of the changes in them. Simulations suggest that the proposed procedure is statistically robust and is able to quantitatively recover time-dependent changes in diffusion coefficients even in the presence of large measurement noise.

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History

  • Published In Issue October 12, 2006
  • Received April 1, 2006
    Revised June 12, 2006

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