Journal
CHAOS SOLITONS & FRACTALS
Volume 154, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.111606
Keywords
Subdiffusion; Superdiffusion; Stable distribution; Random trajectory
Ask authors/readers for more resources
In this paper, a new approach based on fractional Levy stable motion (FLSM) is proposed for the analysis of experimental data and applied to the Golding-Cox mRNA dataset. The study utilizes non-Gaussian alpha-stable distributions and estimates the memory parameter to classify trajectories along the x and y coordinates. The results show that most trajectories exhibit subdiffusion, some follow Levy diffusion, but none demonstrate superdiffusion. The presence of non-Gaussian alpha-stable distribution is also justified through goodness-of-fit tests.
In this paper we propose a new approach for the analysis of experimental data based on the fractional Levy stable motion (FLSM) and apply it to the Golding-Cox mRNA dataset. The FLSM takes into account non-Gaussian alpha-stable distributions and is characterized by the memory parameter d =H 1/alpha, where H is the Hurst exponent. The sign of d indicates the type of diffusion: d = 0 for Levy diffusion, d < 0 for subdiffusion and d > 0 for superdiffusion. By estimating the memory parameter for trajectories, we obtain their classification along the x and y coordinates independently. It appears that most of the trajectories are subdiffusive, other follow the Levy-diffusion, but none of them is superdiffusive. We also justify presence of the non-Gaussian alpha-stable distribution by five different goodness-of-fit tests. We note that the classification procedure presented here can be applied to other experimental data which exhibit a non-Gaussian behavior. (C) 2021 The Author(s). Published by Elsevier Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available