Non-Gaussianity in single-particle tracking: use of kurtosis to learn the characteristics of a cage-type potential
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...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-05, Vol.85 (5 Pt 1), p.051905-051905, Article 051905 |
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| container_issue | 5 Pt 1 |
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| container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
| container_volume | 85 |
| creator | Lushnikov, Pavel M Sulc, Petr Turitsyn, Konstantin S |
| description | 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. |
| doi_str_mv | 10.1103/physreve.85.051905 |
| format | Article |
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| ispartof | Physical review. E, Statistical, nonlinear, and soft matter physics, 2012-05, Vol.85 (5 Pt 1), p.051905-051905, Article 051905 |
| issn | 1539-3755 1550-2376 |
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| source | MEDLINE; American Physical Society Journals |
| subjects | Diffusion Membrane Potentials Membrane Proteins - metabolism Normal Distribution Probability Statistical Distributions Time Factors |
| title | Non-Gaussianity in single-particle tracking: use of kurtosis to learn the characteristics of a cage-type potential |
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