Kinetic Monte Carlo and the One-Dimensional Chromatin Model
I came to kinetic Monte Carlo while studying how nucleosomes are arranged in budding yeast. Nucleosomes are proteins around which DNA is wrapped in eukaryotic cells (think the “spindle” in a “spool of (DNA) thread”). Experimental assays of nucleosomes show ordered arrays near boundaries: a nucleosome-free region, a transcription-factor site, or the edge of a gene can act as a landmark, and the average positions of the next few nucleosomes oscillate away from it. The pattern is striking enough to invite a tempting question: are the nucleosomes individually programmed to those positions, or can much of the order emerge from particles packing against a boundary?