建模细胞内生物分子输运的非马尔可夫涨落。

Modelling non-Markovian fluctuations in intracellular biomolecular transport.

机构信息

Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines; Physics Department, Mindanao State University, Marawi City, 9700, Philippines.

Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines; Research Center for Theoretical Physics, Central Visayan Institute Foundation, Jagna, Bohol, 6308, Philippines; Physics Department, University of San Carlos, Cebu City, 6000, Philippines.

出版信息

Math Biosci. 2018 Mar;297:27-31. doi: 10.1016/j.mbs.2018.01.004. Epub 2018 Jan 11.

DOI:10.1016/j.mbs.2018.01.004

PMID:29337131

Abstract

To model non-Markovian fluctuations arising in biomolecular transport, we introduce a stochastic process with memory where Brownian motion is modulated sinusoidally. The probability density function and moments of this non-Markovian process are evaluated analytically as Hida stochastic functional integrals. Comparison of graphs of computed variance vis-á-vis empirical data for protein diffusion coefficients closely match with both exhibiting emergent superdiffusive then subdiffusive behavior for longer proteins.

摘要

为了模拟生物分子输运中出现的非马尔可夫涨落，我们引入了一个具有记忆的随机过程，其中布朗运动被正弦调制。这个非马尔可夫过程的概率密度函数和矩可以通过希达随机泛函积分进行解析计算。计算出的方差与蛋白质扩散系数的经验数据的比较图非常吻合，两者都表现出较长蛋白质的突发扩散然后亚扩散行为。