Nonequilibrium switching of segmental states can influence compaction of chromatin

Knowledge about the dynamic nature of chromatin organization is essential to understand the regulation of processes like DNA transcription and repair. While most models assume protein organization and chemical states along chromatin as static, experiments have shown that these are dynamic and lead to the switching of chromatin segments between different physical states. To understand the implications of this inherent nonequilibrium switching, we present a diblock copolymer model of chromatin, with switching of its segmental states between two states, mimicking active/repressed or protein unbound/bound states. We show that competition between switching timescale T t , polymer relaxation timescale τ p , and segmental relaxation timescale τ s can lead to non-trivial changes in chromatin organization, leading to changes in local compaction and contact probabilities. As a function of the switching timescale, the radius of gyration of chromatin shows a non-monotonic behavior with a prominent minimum when T t ≈ τ p and a maximum when T t ≈ τ s . We find that polymers with a small segment length exhibit a more compact structure than those with larger segment lengths. We also find that the switching can lead to higher contact probability and better mixing of far-away segments. Our study also shows that the nature of the distribution of chromatin clusters varies widely as we change the switching rate. Significance statement Different cells in multicellular organisms have the same DNA but different functions. The function of any given cell type can be time-dependent. The current understanding is that differences in gene expression arising from local compaction and the probability for far-away regulatory segments to come in contact play an important role in establishing these differences. The necessary structural variations are achieved through a combination of changes in the chemical and physical states of chromatin regions. In this paper, we present a model for chromatin accounting for the dynamic switching of chromatin regions between different chemical and physical states. We demonstrate the implications of such switching in determining the local 3D structure of chromatin.