Magdziarz Marcin, Klafter Joseph
Hugo Steinhaus Center, Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wyspianskiego 27, 50-370 Wroclaw, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 1):011129. doi: 10.1103/PhysRevE.82.011129. Epub 2010 Jul 20.
In this paper, we propose a method to distinguish between mechanisms leading to single molecule subdiffusion in confinement. We show that the method of p-variation, introduced in the recent paper [M. Magdziarz, Phys. Rev. Lett. 103, 180602 (2009)], can be successfully applied also for confined systems. We propose a test which allows distinguishing between heavy-tailed continuous-time random walk and fractional Brownian motion in the presence of binding potentials and reflecting boundaries. We apply our test to the experimental data describing motion of mRNA molecules inside E. coli cells. The results of the test show that it is more likely that fractional Brownian motion is the underlying process.
在本文中，我们提出了一种方法来区分导致单分子在受限空间内亚扩散的机制。我们表明，最近的论文[M. 马吉亚尔兹，《物理评论快报》103, 180602 (2009)]中引入的p变差方法，也可以成功应用于受限系统。我们提出了一种检验方法，该方法能够在存在结合势和反射边界的情况下区分重尾连续时间随机游走和分数布朗运动。我们将我们的检验方法应用于描述大肠杆菌细胞内mRNA分子运动的实验数据。检验结果表明，分数布朗运动更有可能是潜在的过程。
