Regulatory roles of three-dimensional structures of topologically associating domains
1Transcriptional enhancers usually, but not always, regulate genes within the same topologically associating domain (TAD). We hypothesize that this incomplete insulation is due to three-dimensional structures of corresponding chromatin domains in individual cells: Whereas enhancers and genes buried inside the "core" of a domain interact mostly with other regions in the same domain, those on the "surface" can more easily interact with the outside. Here we show that a simple measure, the intra-TAD ratio, can quantify the "coreness" of a region with respect to single-cell domains it belongs. We show that domain surfaces are permissive for high gene expression, and cell type-specific active cis-regulatory elements (CREs), active histone marks, and transcription factor binding sites are enriched on domain surfaces, most strongly in chromatin subcompartments typically considered inactive. These findings suggest a "domain surface CRE" model of gene regulation. We also find that disease-associated non-coding variants are enriched on domain surfaces.