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Topological interactions between ring polymers: Implicationsfor chromatin loops

机译:环状聚合物之间的拓扑相互作用:对染色质环的影响

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摘要

Chromatin looping is a major epigenetic regulatory mechanism in higher eukaryotes. Besides itsrole in transcriptional regulation, chromatin loops have been proposed to play a pivotal role in thesegregation of entire chromosomes. The detailed topological and entropic forces between loops stillremain elusive. Here, we quantitatively determine the potential of mean force between the centersof mass of two ring polymers, i.e., loops. We find that the transition from a linear to a ring polymerinduces a strong increase in the entropic repulsion between these two polymers. On top, topologicalinteractions such as the noncatenation constraint further reduce the number of accessibleconformations of close-by ring polymers by about 50%, resulting in an additional effectiverepulsion. Furthermore, the transition from linear to ring polymers displays changes in theconformational and structural properties of the system. In fact, ring polymers adopt a markedly moreordered and aligned state than linear ones. The forces and accompanying changes in shape andalignment between ring polymers suggest an important regulatory function of such a topology inbiopolymers. We conjecture that dynamic loop formation in chromatin might act as a versatilecontrol mechanism regulating and maintaining different local states of compaction and order.
机译:染色质环化是高级真核生物中的主要表观遗传调控机制。除了其在转录调控中的作用外,染色质环还被提议在整个染色体的聚集中起关键作用。回路之间的详细拓扑力和熵力仍然难以捉摸。在这里,我们定量地确定了两个环状聚合物的质心之间的平均力的潜力,即环。我们发现,从线性聚合物到环状聚合物的转变引起这两种聚合物之间的熵排斥力的强烈增加。最重要的是,拓扑相互作用(例如非串联约束)进一步将邻近环聚合物的可及构型数减少了约50%,从而导致了额外的有效排斥。此外,从线性聚合物到环状聚合物的转变显示出体系的构象和结构性质的变化。实际上,环聚合物比线性聚合物具有明显更有序和排列的状态。环状聚合物之间的力和随之而来的形状和排列的变化表明这种拓扑结构在生物聚合物中具有重要的调节功能。我们推测染色质中的动态环形成可能是一种通用的控制机制,可调节和维持压实和有序的不同局部状态。

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