Superstatistical modelling of protein diffusion dynamics in bacteria
Superstatistical modelling of protein diffusion dynamics in bacteria
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DOI：
10.1098/rsif.2020.0927
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发表时间：
2021-03-03
影响因子：
3.9
通讯作者：
Beck, Christian
中科院分区：
文献类型：
--
作者：
Itto, Yuichi;Beck, Christian
最近的实验（Sadoon AA，Wang Y. 2018物理修订版E98，042411。(doi：10.1103/PhysRevE.98.042411））已经揭示了类核苷酸相关蛋白（即DNA结合蛋白）在细菌中表现出高度不均匀的扩散过程，其中对于各种蛋白质，不仅扩散常数而且反常扩散指数都波动。这种蛋白质的位移的分布被观察到采取一个q-高斯的形式，衰减为幂律。在这里，一个统计模型的细菌内的蛋白质的扩散运动的基础上，一个超统计与两个变量。该模型分层次地考虑了反常扩散指数和扩散常数的联合涨落。分数布朗运动作为一种可能的局部模型进行了讨论。与实验数据吻合良好。
A recent experiment (Sadoon AA, Wang Y. 2018 Phys. Rev. E98, 042411. (doi:10.1103/PhysRevE.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.