ArticleBiophysical journal2012
Universal algorithm for identification of fractional Brownian motion. A case of telomere subdiffusion.
Article in Biophysical journal, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers.
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29 citing papers in PubMed, 161 citations in OpenAlex.
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- Modelling Heterogeneous Anomalous Dynamics of Radiation-Induced Double-Strand Breaks in DNA during Non-Homologous End-Joining Pathway.Entropy (Basel, Switzerland) · 2024Article
- Chromatin phase separated nanoregions explored by polymer cross-linker models and reconstructed from single particle trajectories.PLoS computational biology · 2024Article
- Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks.Nature communications · 2022Article
- Chromatin network retards nucleoli coalescence.Nature communications · 2021Article
- Single-particle diffusional fingerprinting: A machine-learning framework for quantitative analysis of heterogeneous diffusion.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Multiscale modeling of genome organization with maximum entropy optimization.The Journal of chemical physics · 2021Article
- Impact of Feature Choice on Machine Learning Classification of Fractional Anomalous Diffusion.Entropy (Basel, Switzerland) · 2020Article
- Look at Tempered Subdiffusion in a Conjugate Map: Desire for the Confinement.Entropy (Basel, Switzerland) · 2020Article
- Complex Chromatin Motions for DNA Repair.Frontiers in genetics · 2020Review
- Survival probability of stochastic processes beyond persistence exponents.Nature communications · 2019Article
- Fluid heterogeneity detection based on the asymptotic distribution of the time-averaged mean squared displacement in single particle tracking experiments.Journal of physics. A, Mathematical and theoretical · 2018Article
- Langevin equation in complex media and anomalous diffusion.Journal of the Royal Society, Interface · 2018Article
- Multi-scale tracking reveals scale-dependent chromatin dynamics after DNA damage.Molecular biology of the cell · 2017Article
- Quantifying non-ergodicity of anomalous diffusion with higher order moments.Scientific reports · 2017Article
- Visual information and expert's idea in Hurst index estimation of the fractional Brownian motion using a diffusion type approximation.Scientific reports · 2017Article
- Cytoplasmic RNA-Protein Particles Exhibit Non-Gaussian Subdiffusive Behavior.Biophysical journal · 2017Article
- Segmentation of 3D Trajectories Acquired by TSUNAMI Microscope: An Application to EGFR Trafficking.Biophysical journal · 2016Article
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Authors and funding
6 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We present a systematic statistical analysis of the recently measured individual trajectories of fluorescently labeled telomeres in the nucleus of living human cells. The experiments were performed in the U2OS cancer cell line. We propose an algorithm for identification of the telomere motion. By expanding the previously published data set, we are able to explore the dynamics in six time orders, a task not possible earlier. As a result, we establish a rigorous mathematical characterization of the stochastic process and identify the basic mathematical mechanisms behind the telomere motion. We find that the increments of the motion are stationary, Gaussian, ergodic, and even more chaotic--mixing. Moreover, the obtained memory parameter estimates, as well as the ensemble average mean square displacement reveal subdiffusive behavior at all time spans. All these findings statistically prove a fractional Brownian motion for the telomere trajectories, which is confirmed by a generalized p-variation test. Taking into account the biophysical nature of telomeres as monomers in the chromatin chain, we suggest polymer dynamics as a sufficient framework for their motion with no influence of other models. In addition, these results shed light on other studies of telomere motion and the alternative telomere lengthening mechanism. We hope that identification of these mechanisms will allow the development of a proper physical and biological model for telomere subdynamics. This array of tests can be easily implemented to other data sets to enable quick and accurate analysis of their statistical characteristics.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.