Michalet, X.
and Berglund, A.
(2012),
Optimal Diffusion Coefficient Estimation in Single-Particle Tracking, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), [online], https://doi.org/10.1103/PhysRevE.85.061916, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=909334
(Accessed October 20, 2025)
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Optimal Diffusion Coefficient Estimation in Single-Particle Tracking
Published
Author(s)
Xavier Michalet,
Abstract
Recent results provide new theoretical concepts and practical algorithms for diffusion coefficient estimation in single-particle tracking. We compare two recent approaches to estimate the diffusion coefficient from a single-particle trajectory in the presence of localization error and motion blur for the case of isotropic Brownian diffusion. We show that both methods approach the theoretical limit on diffusion coefficient uncertainty given by the Cramér-Rao lower bound. We discuss implications of the theoretical limits and the practical performance of the numerical algorithms.Citation
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Volume
85
Issue
6
Pub Type
Journals
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Created June 20, 2012, Updated October 12, 2021