Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
Supercomputing Center, Korea Institute of Science and Technology Information, Daejeon 34141, Korea.
Soft Matter. 2016 Nov 28;12(47):9436-9450. doi: 10.1039/c6sm01184e.
A chain molecule can be entropically collapsed in a crowded medium in a free or confined space. Here, we present a unified view of how molecular crowding collapses a flexible polymer in three distinct spaces: free, cylindrical, and (two-dimensional) slit-like. Despite their seeming disparities, a few general features characterize all these cases, even though the ϕ-dependence of chain compaction differs between the two cases: a > a and a < a, where ϕ is the volume fraction of crowders, a is the monomer size, and a is the crowder size. For a > a (applicable to a coarse-grained model of bacterial chromosomes), chain size depends on the ratio aϕ/a, and "full" compaction occurs universally at aϕ/a ≈ 1; for a > a (relevant for protein folding), it is controlled by ϕ alone and crowding has a modest effect on chain size in a cellular environment (ϕ ≈ 0.3). Also for a typical parameter range of biological relevance, molecular crowding can be viewed as effectively reducing the solvent quality, independent of confinement.
在拥挤的介质中,链分子在自由或受限的空间中可能会发生熵坍塌。在这里,我们提出了一个统一的观点,即分子拥挤如何在三种不同的空间中使柔性聚合物坍塌:自由、圆柱和(二维)狭缝状。尽管它们看起来存在差异,但仍有一些共同的特征可以描述所有这些情况,尽管两种情况下链紧缩的 ϕ 依赖性不同:a > a 和 a < a,其中 ϕ 是拥挤物的体积分数,a 是单体大小,a 是拥挤物大小。对于 a > a(适用于细菌染色体的粗粒化模型),链大小取决于比值 aϕ/a,并且“完全”紧缩普遍发生在 aϕ/a ≈ 1 时;对于 a > a(与蛋白质折叠相关),它仅由 ϕ 控制,并且在细胞环境中拥挤对链大小的影响不大(ϕ ≈ 0.3)。对于生物学相关的典型参数范围,分子拥挤也可以被视为有效地降低溶剂质量,与限制无关。