Evaluation of loop formation dynamics in a chromatin fiber during chromosome condensation

Chromatin fibers composed of DNA and proteins fold into consecutive loops to form rod-shaped chromosome in mitosis. Although the loop growth dynamics is investigated several studies, its detailed processes are unclear. Here, we describe time evolution length for thermal-driven as an iterative map by calculating physical quantities involved processes. We quantify energy during chromatin formation free energies unlooped looped chromatins using Domb-Joyce model a lattice polymer chain incorporating bending elasticity The excluded volume interaction among integrated employing mean-field theory. compare with thermal evaluate via fluctuation. By assuming dependence parameter on length, construct dynamics. demonstrates that single reaction cycle decreases reach condensin size, where can be less stochastic regarded direct power stroke kind motor proteins.