Emergence of compact-disordered phase in a polymer Potts model

Abstract

One of the central problems in epigenetics is how epigenetic modification patterns and chromatin structure are regulated in the cell nucleus. The polymer Potts model, a recently studied model of chromatins, is introduced with an offset in the interaction energy as a parameter, and the equilibrium properties are investigated using the mean-field analysis of the lattice model and molecular dynamics simulations of the off-lattice model. The results show that in common with both models, a phase emerges, which could be called the compact-disordered phase, in which the polymer conformation is compact and the epigenetic modification pattern is disordered, depending on the offset in the interaction energy and the fraction of the modified nucleosomes.

References in corpus (8)

• The physics of epigenetics
• Shaping Epigenetic Memory via Genomic Bookmarking
• Nonequilibrium Theory of Epigenomic Microphase Separation in the Cell Nucleus
• Magnetic Polymer Models for Epigenomic Organisation and Phase Separation
• Phase diagram of magnetic polymers
• Magnetic Polymer Models for Epigenetics-Driven Chromosome Folding
• Chromatin state switching in a polymer model with mark-conformation coupling
• Critical Behaviour of Magnetic Polymers in Two and Three Dimensions