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Statistical Properties of a Polymer Globule Formed during Collapse with the Irreversible Coalescence of Units
Polymer Science, Series C ( IF 2.2 ) Pub Date : 2018-11-29 , DOI: 10.1134/s1811238218020017
A. M. Astakhov , S. K. Nechaev , K. E. Polovnikov

Collapse of the polymer chain upon the sharp decrease of solvent quality is studied. During collapse, any pair of polymer units appearing in a sufficiently close vicinity in space has the possibility with a certain probability to form an irreversible crosslink, thereby preventing the interpenetration of chain material between the forming clusters. Globular structures having different spatial chain packing at various scales are obtained by computer simulations. It is shown that the dependence of probability of contact between two monomers in space P(s), where s is a distance between monomers along chain, reproduces a number of characteristic features observed previously in experiments on the analysis of three-dimensional chromatin packing. The cluster analysis of intramolecular contact maps makes it possible to express the hypothesis that there are characteristic discrete hierarchical levels in polymer packing associated with the number-theoretic origin of rare-event statistics and inherent to individual maps of intra- and interchromosomal contacts.



中文翻译:

与单元不可逆合并塌陷过程中形成的聚合物小球的统计特性

研究了溶剂质量急剧下降时聚合物链的塌陷。在塌陷期间,出现在空间中足够紧密附近的任何一对聚合物单元都有一定的可能性形成不可逆的交联,从而防止链状材料在形成的簇之间相互渗透。通过计算机模拟获得具有不同尺度的不同空间链堆积的球状结构。结果表明,空间Ps)中两个单体之间接触概率的依赖性,其中s是沿着链的单体之间的距离,再现了先前在三维染色质填充分析中的实验中观察到的许多特征。分子内接触图的聚类分析可以表达以下假设:聚合物包装中存在特征性离散层次,与稀有事件统计的数论起源相关,并且是染色体内和染色体间接触的个别图所固有的。

更新日期:2018-11-29
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