Cyclic-polymer grafted colloids in spherical confinement: insights for interphase chromosome organization

Jarosław Paturej, Aykut Erbaş
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Abstract

Abstract Interphase chromosome structures are known to remain segregated in the micron-sized eukaryotic cell nucleus and occupy a certain fraction of nuclear volume, often without mixing. Using extensive coarse-grained simulations, we model such chromosome structures as colloidal particles whose surfaces are grafted by cyclic polymers. This model system is known as Rosetta. The cyclic polymers, with varying polymerization degrees, mimic the functionality of structural protein complexes, while the rigid core models the chromocenter sections of chromosomes. Our simulations show that the colloidal chromosome model provides a well-segregated particle distribution without specific attraction between the chain monomers. Notably, linear-polymer grafted particles also provide the same segregation scheme. However, unlike linear chains, cyclic chains result in less contact between the polymer layers of neighboring chromosome particles, demonstrating the effect of DNA breaks in altering genome-wide contacts. As the polymerization degree of the chains decreases while maintaining the total chromosomal length (the total polymer length per particle), particles form quasi-crystalline order, reminiscent of a glassy state. This order weakens for polymer chains with a characteristic size on the order of the confinement radius. Our simulations demonstrate that polymer systems can help decipher 3D chromosomal architectures along with fractal globular and loop-extrusion models.
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球形约束下的环状聚合物接枝胶体:对间期染色体组织的见解
间期染色体结构在微米大小的真核细胞中保持分离,并占据一定比例的核体积,通常不混合。利用广泛的粗粒度模拟,我们将这种染色体结构建模为胶体颗粒,其表面接枝环状聚合物。这个模型系统被称为罗塞塔。不同聚合度的环状聚合物模拟了结构蛋白复合物的功能,而刚性核则模拟了染色体的色心部分。我们的模拟表明,胶体染色体模型提供了一个分离良好的颗粒分布,没有特定的吸引力之间的链单体。值得注意的是,线性聚合物接枝颗粒也提供了相同的分离方案。然而,与线性链不同,环链导致相邻染色体颗粒的聚合物层之间的接触较少,这表明DNA断裂在改变全基因组接触方面的作用。当链的聚合度降低而保持总染色体长度(每个粒子的总聚合物长度)时,粒子形成准晶体秩序,使人联想到玻璃态。对于特征尺寸为约束半径数量级的聚合物链,该数量级减弱。我们的模拟表明,聚合物系统可以帮助破译三维染色体结构以及分形球形和环挤出模型。
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