论文标题
蛋白质扩散动力学的超级巨星模型
Superstatistical modelling of protein diffusion dynamics in bacteria
论文作者
论文摘要
最近的实验[Sadoon AA，Wang Y. 2018 Phys。 Rev. E 98，042411]表明，核苷相关的蛋白（即DNA结合蛋白）在细菌中表现出高度异质的扩散过程，其中不仅扩散常数，而且还表现出各种蛋白质的异常扩散指数波动。观察到这种蛋白质的位移分布采用Q-gaussian形式，该形式是一种权力定律。在这里，基于具有两个变量的超级巨星，为蛋白质在细菌中的扩散运动开发了一个统计模型。该模型在层次上考虑了异常扩散指数和扩散常数的关节波动。将分数的布朗运动作为可能的本地模型讨论。获得了与实验数据的良好一致性。
A recent experiment [Sadoon AA, Wang Y. 2018 Phys. Rev. E 98, 042411] has revealed that nucleoid associated proteins (i.e., DNA-binding proteins) exhibit highly heterogeneous diffusion processes in bacteria where not only the diffusion constant but also the anomalous diffusion exponent fluctuates for the various proteins. The distribution of displacements of such proteins is observed to take a q-Gaussian form, which decays as a power law. Here, a statistical model is developed for the diffusive motion of the proteins within the bacterium, based on a superstatistics with two variables. This model hierarchically takes into account the joint fluctuations of both the anomalous diffusion exponents and the diffusion constants. A fractional Brownian motion is discussed as a possible local model. Good agreement with the experimental data is obtained.
