Non-Gaussianity in single-particle tracking: Use of kurtosis to learn the characteristics of a cage-type potential
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Lushnikov-2012-Non-Gaussianity in single-particle tracking.pdf
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Author(s)
Lushnikov, Pavel M.
Sulc, Petr
Turitsyn, Konstantin
Date Issued
May 2012
Journal
Physical Review E
Publisher
American Physical Society
Citation
Lushnikov, Pavel, Petr Šulc, and Konstantin Turitsyn. “Non-Gaussianity in Single-particle Tracking: Use of Kurtosis to Learn the Characteristics of a Cage-type Potential.” Physical Review E 85.5 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
Nonlinear interaction of membrane proteins with cytoskeleton and membrane leads to non-Gaussian structure of their displacement probability distribution. We propose a statistical analysis technique for learning the characteristics of the nonlinear potential from the time dependence of the cumulants of the displacement distribution. The efficiency of the approach is demonstrated on the analysis of the kurtosis of the displacement distribution of the particle traveling on a membrane in a cage-type potential. Results of numerical simulations are supported by analytical predictions. We show that the approach allows robust identification of some characteristics of the potential for the much lower temporal resolution compared with the mean-square displacement analysis and we demonstrate robustness to experimental errors in determining the particle positions.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.85.051905
