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1. Model reduction and stochastic analysis of the histone modification circuit

   https://doi.org/10.23919/ECC55457.2022.9838047  

   Bruno, Simone; Williams, Ruth J.; Del Vecchio, Domitilla (July 2022, IEEE European Control Conference)

   Epigenetic cell memory (ECM), the inheritance of gene expression patterns without changes in genetic sequence, is a critical property of multi-cellular organisms. Chromatin state, as dictated by histone covalent modifications, has recently appeared as a mediator of ECM. In this paper, we conduct a stochastic analysis of the histone modification circuit that controls chromatin state to determine key biological parameters that affect ECM. Specifically, we derive a one-dimensional Markov chain model of the circuit and analytically evaluate both the stationary probability distribution of chromatin state and the mean time to switch between active and repressed chromatin states. We then validate our analytical findings using stochastic simulations of the original higher dimensional circuit reaction model. Our analysis shows that as the speed of basal decay of histone modifications decreases compared to the speed of autocatalysis, the stationary probability distribution becomes bimodal and increasingly concentrated about the active and repressed chromatin states. Accordingly, the switching time between active and repressed chromatin states becomes larger. These results indicate that time scale separation among key constituent processes of the histone modification circuit controls ECM. 

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2. Mathematical analysis of the limiting behaviors of a chromatin modification circuit

   https://doi.org/10.1007/s00498-023-00343-8  

   Bruno, Simone; Williams, Ruth J.; Del Vecchio, Domitilla (June 2023, Mathematics of Control, Signals, and Systems)

   Abstract In the last decade, the interactions among histone modifications and DNA methylation and their effect on the DNA structure, i.e., chromatin state, have been identified as key mediators for the maintenance of cell identity, defined as epigenetic cell memory. In this paper, we determine how the positive feedback loops generated by the auto- and cross-catalysis among repressive modifications affect the temporal duration of the cell identity. To this end, we conduct a stochastic analysis of a recently published chromatin modification circuit considering two limiting behaviors: fast erasure rate of repressive histone modifications or fast erasure rate of DNA methylation. In order to perform this mathematical analysis, we first show that the deterministic model of the system is a singular singularly perturbed (SSP) system and use a model reduction approach for SSP systems to obtain a reduced one-dimensional model. We thus analytically evaluate the reduced system’s stationary probability distribution and the mean switching time between active and repressed chromatin states. We then add a computational study of the original reaction model to validate and extend the analytical findings. Our results show that the absence of DNA methylation reduces the bias of the system’s stationary probability distribution toward the repressed chromatin state and the temporal duration of this state’s memory. In the absence of repressive histone modifications, we also observe that the time needed to reactivate a repressed gene with an activating input is less stochastic, suggesting that repressive histone modifications specifically contribute to the highly variable latency of state reactivation. 

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3. Epigenetic cell memory: The gene’s inner chromatin modification circuit

   https://doi.org/10.1371/journal.pcbi.1009961  

   Bruno, Simone; Williams, Ruth J.; Del Vecchio, Domitilla (April 2022, PLOS Computational Biology)

   Herrmann, Carl (Ed.)

   Epigenetic cell memory allows distinct gene expression patterns to persist in different cell types despite a common genotype. Although different patterns can be maintained by the concerted action of transcription factors (TFs), it was proposed that long-term persistence hinges on chromatin state. Here, we study how the dynamics of chromatin state affect memory, and focus on a biologically motivated circuit motif, among histones and DNA modifications, that mediates the action of TFs on gene expression. Memory arises from time-scale separation among three circuit’s constituent processes: basal erasure, auto and cross-catalysis, and recruited erasure of modifications. When the two latter processes are sufficiently faster than the former, the circuit exhibits bistability and hysteresis, allowing active and repressed gene states to coexist and persist after TF stimulus removal. The duration of memory is stochastic with a mean value that increases as time-scale separation increases, but more so for the repressed state. This asymmetry stems from the cross-catalysis between repressive histone modifications and DNA methylation and is enhanced by the relatively slower decay rate of the latter. Nevertheless, TF-mediated positive autoregulation can rebalance this asymmetry and even confers robustness of active states to repressive stimuli. More generally, by wiring positively autoregulated chromatin modification circuits under time scale separation, long-term distinct gene expression patterns arise, which are also robust to failure in the regulatory links. 

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4. Histone modification dynamics at H3K27 are associated with altered transcription of in planta induced genes in Magnaporthe oryzae

   https://doi.org/10.1371/journal.pgen.1009376  

   Zhang, Wei; Huang, Jun; Cook, David E. (February 2021, PLOS Genetics)

   Mittelsten Scheid, Ortrun (Ed.)

   Transcriptional dynamic in response to environmental and developmental cues are fundamental to biology, yet many mechanistic aspects are poorly understood. One such example is fungal plant pathogens, which use secreted proteins and small molecules, termed effectors, to suppress host immunity and promote colonization. Effectors are highly expressed in planta but remain transcriptionally repressed ex planta , but our mechanistic understanding of these transcriptional dynamics remains limited. We tested the hypothesis that repressive histone modification at H3-Lys27 underlies transcriptional silencing ex planta , and that exchange for an active chemical modification contributes to transcription of in planta induced genes. Using genetics, chromatin immunoprecipitation and sequencing and RNA-sequencing, we determined that H3K27me3 provides significant local transcriptional repression. We detail how regions that lose H3K27me3 gain H3K27ac, and these changes are associated with increased transcription. Importantly, we observed that many in planta induced genes were marked by H3K27me3 during axenic growth, and detail how altered H3K27 modification influences transcription. ChIP-qPCR during in planta growth suggests that H3K27 modifications are generally stable, but can undergo dynamics at specific genomic locations. Our results support the hypothesis that dynamic histone modifications at H3K27 contributes to fungal genome regulation and specifically contributes to regulation of genes important during host infection. 

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5. Post-translational modifications and chromatin dynamics

   https://doi.org/10.1042/ebc20180067  

   Gilbert, Nick; Allan, James; Tolsma, Thomas O.; Hansen, Jeffrey C. (March 2019, Essays in Biochemistry)

   Abstract The dynamic structure of chromatin is linked to gene regulation and many other biological functions. Consequently, it is of importance to understand the factors that regulate chromatin dynamics. While the in vivo analysis of chromatin has verified that histone post-translational modifications play a role in modulating DNA accessibility, the complex nuclear environment and multiplicity of modifications prevents clear conclusions as to how individual modifications influence chromatin dynamics in the cell. For this reason, in vitro analyses of model reconstituted nucleosomal arrays has been pivotal in understanding the dynamic nature of chromatin compaction and the affects that specific post-translational modifications can have on the higher order chromatin structure. In this mini-review, we briefly describe the dynamic chromatin structures that have been observed in vitro and the environmental conditions that give rise to these various conformational states. Our focus then turns to a discussion of the specific histone post-translational modifications that have been shown to alter formation of these higher order chromatin structures in vitro and how this may relate to the biological state and accessibility of chromatin in vivo. 

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