A central goal of chromatin biology is to reveal how posttranslational histone marks modulate gene expression; however, relatively little is known about the spatial or temporal dynamics of these marks. We previously showed that a dynamic model of histone mark nucleation, propagation, and turnover fits the mean enrichment profiles from 99% of noncentromeric histone H3 lysine 9 trimethylation (H3K9me3) domains in mouse embryonic stem cells without the need for boundary or insulator elements. Here we report the full details of this "inherently bounded" model of histone modification dynamics and describe several dynamic features of the model using H3K9me3 as a paradigm. By analyzing the kinetic and structural constraints that drive formation of inherently bounded domains, we find that such domains are optimized when the rates of marking and turnover are comparable. Additionally, we find that to establish such domains, propagation of the histone marks must occur primarily through local contacts.C hromatin is a dynamic environment subject to spatial and temporal regulation through a number of factors. A central focus of this regulation is the posttranslational modification of histone proteins, whose modification states are associated with a variety of transcription states at a given genetic locus. Unfortunately, there are few quantitative models regarding the dynamics of histone marking and therefore little basis for describing the structure, stability, or fluctuations of histone modification domains.One particular posttranslational histone modification, histone H3 lysine 9 trimethylation (H3K9me3), has served as a paradigm to study how histone marks are propagated in live cells to induce local silencing. In mammalian cells, H3K9me3 is associated with heterochromatic and transcriptionally silent regions (1-4). H3K9me3-based repression requires Heterochromatin Protein 1 (HP1), which mediates cis-spreading of the H3K9me3 mark by binding existing H3K9me3 sites (5-7), oligomerizing to bind neighboring nucleosomes (8, 9), and recruiting H3K9-specific histone methyltransferases (HMTs) (10-13) to induce outward spreading of the mark.Unless opposed, this positive feedback would expand H3K9me3-containing domains without bounds. Several groups have described "insulator elements" in flies, yeast, and other organisms, which prevent further expansion of H3K9me3 marking (14). The presence of these insulator elements gives rise to distinct chromatin boundaries, which suggests chromatin may be packaged into modular, independent structural domains near these elements (15). Additionally, in fission yeast, the matingtype locus is silenced through expansion of H3K9me3 over an ∼20-kbp domain with relatively sharp borders (16, 17). The distinct structure of this histone modification domain, with a large plateau and definite borders, indicates that the expansion of H3K9me3 marks is blocked or subject to increased turnover at the border of the domain, consistent with a boundary element.In mammals, however, such expansive H3K9me3 plateaus in ...