In Vivo Anomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules
Abstract
Combining extensive single particle tracking microscopy data of endogenous lipid granules in living fission yeast cells with analytical results we show evidence for anomalous diffusion and weak ergodicity breaking. Namely we demonstrate that at short times the granules perform subdiffusion according to the laws of continuous time random walk theory. The associated violation of ergodicity leads to a characteristic turnover between two scaling regimes of the time averaged mean squared displacement. At longer times the granule motion is consistent with fractional Brownian motion.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 2011
- DOI:
- arXiv:
- arXiv:1010.0347
- Bibcode:
- 2011PhRvL.106d8103J
- Keywords:
-
- 87.16.dj;
- 02.50.-r;
- 05.40.-a;
- 87.10.Mn;
- Dynamics and fluctuations;
- Probability theory stochastic processes and statistics;
- Fluctuation phenomena random processes noise and Brownian motion;
- Stochastic modeling;
- Condensed Matter - Statistical Mechanics;
- Physics - Biological Physics;
- Quantitative Biology - Quantitative Methods
- E-Print:
- 4 pages, 4 figures, REVTeX. Supplementary Material. Physical Review Letters, at press