Ergodicity convergence test suggests telomere motion obeys fractional dynamics
Ergodicity convergence test suggests telomere motion obeys fractional dynamics
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DOI：
10.1103/physreve.83.041919
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发表时间：
2011-04-22
影响因子：
2.4
通讯作者：
Garini, Y.
中科院分区：
文献类型：
--
作者：
Kepten, E.;Bronshtein, I.;Garini, Y.
在许多生物过程中观察到的异常扩散是对各种过程的广义描述，所有这些过程都遵循均方位移定律。确定这些观测的基本机制对于推断所测量的生物物理系统的性质是重要的。基于数据的遍历性质，我们实现了先前提出的区分分数阶朗格万动力学、分数阶布朗运动和连续时间随机行走的方法。我们将该方法与最近提出的p变异检验和位移相关性应用于最近测量的哺乳动物细胞核端粒的动力学，发现了端粒运动服从分数动力学的有力证据。实验观察到遍历动力学符合分数布朗动力学或朗格万动力学。
Anomalous diffusion, observed in many biological processes, is a generalized description of a wide variety of processes, all obeying the same law of mean-square displacement. Identifying the basic mechanisms of these observations is important for deducing the nature of the biophysical systems measured. We implement a previously suggested method for distinguishing between fractional Langevin dynamics, fractional Brownian motion, and continuous time random walk based on the ergodic nature of the data. We apply the method together with the recently suggested P-variation test and the displacement correlation to the lately measured dynamics of telomeres in the nucleus of mammalian cells and find strong evidence that the telomeres motion obeys fractional dynamics. The ergodic dynamics are observed experimentally to fit fractional Brownian or Langevin dynamics.