论文标题
超级巨星分数布朗运动的Fokker-Planck方程，并应用于细胞质内的被动示踪剂
The Fokker-Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
论文作者
论文摘要
通过从文献数据中收集被动示踪剂在细胞质内部的异常扩散的实验证据，尤其是在活的大肠杆菌细胞内的mRNA分子的细胞，我们获得了分子位移的概率密度函数，并得出了相应的fokker-planck方程。分子的分布与krätzel函数有关，其fokker-planck方程是Erdélylyi-Kober意义上的分数扩散方程。还讨论了衍生的fokker-planck方程对其他文献模型的不可约性。
By collecting from literature data the experimental evidences of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live E. coli cells, we get the probability density function of molecules' displacement and we derive the corresponding Fokker-Planck equation. Molecules' distribution emerges to be related to the Krätzel function and its Fokker-Planck equation be a fractional diffusion equation in the Erdélyi-Kober sense. The irreducibility of the derived Fokker-Planck equation to those of other literature models is also discussed.
