主动环挤出Rouse模型中非平衡聚合物环的构象统计
Conformational statistics of non-equilibrium polymer loops in Rouse model with active loop extrusion
摘要：
受最近的实验观察的DNA环挤压蛋白质马达的启发，在本文中，我们调查的统计性质的增长聚合物环内的理想链模型。环构象的统计特征是由平均回转半径和成对接触概率。事实证明，一个单一的无量纲参数，这是由环路松弛时间的比例超过了从挤出开始所经过的时间，控制之间的交叉近平衡和高度非平衡的渐近挤出环路的统计。此外，我们还发现，双面和单面环挤压电机产生的环具有几乎相同的性能。我们的预测是基于两个严格的半分析方法，伴随着缓慢和快速挤出极限的渐近分析。
英文摘要：
Motivated by the recent experimental observations of the DNA loop extrusion by protein motors, in this paper we investigate the statistical properties of the growing polymer loops within the ideal chain model. The loop conformation is characterized statistically by the mean gyration radius and the pairwise contact probabilities. It turns out that a single dimensionless parameter, which is given by the ratio of the loop relaxation time over the time elapsed since the start of extrusion, controls the crossover between near-equilibrium and highly non-equilibrium asymptotics in statistics of the extruded loop. Besides, we show that two-sided and one-sided loop extruding motors produce the loops with almost identical properties. Our predictions are based on two rigorous semi-analytical methods accompanied by asymptotic analysis of slow and fast extrusion limits.
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