Heterogeneity induced block co-polymer segregation in confinement

Motivated by the work on block copolymer models that provide insights into epigenetics driven chromosome organization, we investigate the segregation behavior of five distinct 2-block co-polymers (BCPs) system with varying block sizes, confined within both symmetric and lateral geometries. Using exact enumeration method and Langevin dynamics simulation, our simple self-avoiding polymer model reveals robust behaviors (across statics and dynamic studies) despite strong finite-size effects. We observe that as block length increases, polymer compaction intensifies relying on non-specific interaction, leading to longer segregation times. The dynamic study clearly demonstrates the formation of globular lamellar phases and condensed, stable complex structures in long-range block copolymer (BCP) systems, providing a simplified analogy to lamellar-mediated chromatin compaction, which involves structures that are difficult to segregate under physiological conditions. Dominance of specific interaction over non-specific interaction in long range BCP systems leads to phase separation driven self assemblies which provides a simplified analogy to heterochromatin—inactive or stable domains. In contrast, short-range block sequences remain in a coiled state, exhibiting minimal overlap or interaction due to strong short range attraction, which may corresponds to euchromatin regions where diverse epigenetic states coexist, resulting in active, non-condensed structures. We also observe that asymmetric or lateral confinement favors more segregation between the BCPs irrespective of their underlying sequence.