Statistical analysis of particle trajectories in living cells

Physical Review. E
Vincent BrianeMyriam Vimond

Abstract

Recent advances in molecular biology and fluorescence microscopy imaging have made possible the inference of the dynamics of molecules in living cells. Such inference allows us to understand and determine the organization and function of the cell. The trajectories of particles (e.g., biomolecules) in living cells, computed with the help of object tracking methods, can be modeled with diffusion processes. Three types of diffusion are considered: (i) free diffusion, (ii) subdiffusion, and (iii) superdiffusion. The mean-square displacement (MSD) is generally used to discriminate the three types of particle dynamics. We propose here a nonparametric three-decision test as an alternative to the MSD method. The rejection of the null hypothesis, i.e., free diffusion, is accompanied by claims of the direction of the alternative (subdiffusion or superdiffusion). We study the asymptotic behavior of the test statistic under the null hypothesis and under parametric alternatives which are currently considered in the biophysics literature. In addition, we adapt the multiple-testing procedure of Benjamini and Hochberg to fit with the three-decision-test setting, in order to apply the test procedure to a collection of independent trajectories. ...Continue Reading

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Citations

Sep 1, 2018·Physical Chemistry Chemical Physics : PCCP·Andrey G CherstvyRalf Metzler
Jun 18, 2019·Briefings in Bioinformatics·Vincent BrianeCharles Kervrann
May 22, 2019·Physical Review. E·Aleksander WeronDavide Calebiro
Dec 9, 2020·Entropy·Aleksander Stanislavsky, Aleksander Weron
Jan 30, 2021·Patterns·Aleix Boquet-PujadasNancy Guillén
Dec 24, 2020·Entropy·Hanna Loch-Olszewska, Janusz Szwabiński
Jun 3, 2021·Entropy·Miłosz Gajowczyk, Janusz Szwabiński

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