scholarly journals Efficient analysis of stochastic gene dynamics in the non-adiabatic regime using piecewise deterministic Markov processes

2018 ◽  
Vol 15 (138) ◽  
pp. 20170804 ◽  
Author(s):  
Yen Ting Lin ◽  
Nicolas E. Buchler

Single-cell experiments show that gene expression is stochastic and bursty, a feature that can emerge from slow switching between promoter states with different activities. In addition to slow chromatin and/or DNA looping dynamics, one source of long-lived promoter states is the slow binding and unbinding kinetics of transcription factors to promoters, i.e. the non-adiabatic binding regime. Here, we introduce a simple analytical framework, known as a piecewise deterministic Markov process (PDMP), that accurately describes the stochastic dynamics of gene expression in the non-adiabatic regime. We illustrate the utility of the PDMP on a non-trivial dynamical system by analysing the properties of a titration-based oscillator in the non-adiabatic limit. We first show how to transform the underlying chemical master equation into a PDMP where the slow transitions between promoter states are stochastic, but whose rates depend upon the faster deterministic dynamics of the transcription factors regulated by these promoters. We show that the PDMP accurately describes the observed periods of stochastic cycles in activator and repressor-based titration oscillators. We then generalize our PDMP analysis to more complicated versions of titration-based oscillators to explain how multiple binding sites lengthen the period and improve coherence. Last, we show how noise-induced oscillation previously observed in a titration-based oscillator arises from non-adiabatic and discrete binding events at the promoter site.

1996 ◽  
Vol 252 (6) ◽  
pp. 723-732 ◽  
Author(s):  
J. R. Muth ◽  
M. Müller ◽  
S. Lohmer ◽  
F. Salamini ◽  
R. D. Thompson

1996 ◽  
Vol 252 (6) ◽  
pp. 723 ◽  
Author(s):  
Jost R. Muth ◽  
Martin Müller ◽  
S. Lohmer ◽  
Francesco Salamini ◽  
R. D. Thompson

2019 ◽  
Vol 20 (10) ◽  
pp. 2538 ◽  
Author(s):  
Mazen Alazem ◽  
Kook-Hyung Kim ◽  
Na-Sheng Lin

The RNA silencing pathways modulate responses to certain stresses, and can be partially tuned by several hormones such as salicylic acid (SA) and abscisic acid (ABA). Although SA and ABA are often antagonistic and often modulate different stress responses, they have similar effects on virus resistance, which are partially achieved through the antiviral RNA silencing pathway. Whether they play similar roles in regulating the RNA silencing pathway is unclear. By employing coexpression and promoter analyses, we found that some ABA- and SA-related transcription factors (TFs) are coexpressed with several AGO, DCL, and RDR genes, and have multiple binding sites for the identified TFs in the queried promoters. ABA and SA are antagonistic with respect to the expression of AGO1 and RDRs because ABA was able to induce these genes only in the SA mutant. Nevertheless, both hormones showed similarities in the regulation of other genes, for example, the induction of AGO2 by ABA was SA-dependent, indicating that ABA acts upstream of SA in this regulation. We inferred that the similar effects of ABA and SA on some genes resulted in the redundancy of their roles in resistance to bamboo mosaic virus, but that the two hormones are antagonistic with respect to other genes unrelated to their biosynthesis pathways.


2013 ◽  
Vol 25 (7) ◽  
pp. 2560-2572 ◽  
Author(s):  
M. A. Mendes ◽  
R. F. Guerra ◽  
M. C. Berns ◽  
C. Manzo ◽  
S. Masiero ◽  
...  

Blood ◽  
2019 ◽  
Vol 134 (Supplement_1) ◽  
pp. 278-278 ◽  
Author(s):  
Haiyang Yun ◽  
Shabana Vohra ◽  
Annalisa Mupo ◽  
George Giotopoulos ◽  
Daniel Sasca ◽  
...  

Aberrant transcriptional programs are cardinal features of Acute Myeloid Leukemia (AML). Recently, it has been shown that specific distal cis-regulatory elements called enhancers communicate with promoters through 3-D DNA looping to regulate tissue-specific gene expression. Recurrent mutations in epigenetic regulators that modify enhancers, transcription factors that bind enhancers and the structural proteins that promote DNA looping, such as the Cohesin complex and its major binding partner CTCF have been demonstrated in AML. However, how these mutations regulate chromatin and alter 3D-DNA topology and communication between enhancers and promoters to generate leukemia-specific transcriptional programs remains poorly understood. In addition, many AML cases lack mutations in epigenetic regulators, transcription factors or DNA structural proteins, yet still demonstrate aberrant transcription, suggesting indirect effects of other mutations on enhancer function and the epigenetic landscape. To address these questions, we have utilized an allelic series of mice carrying the most common mutations in AML, namely Flt3-ITD and Npm1c (co-mutated in ~15% of all AMLs). These model different "transition states" (normal: wild type (WT), Pre-Malignant: single mutant (SM) with either Flt3-ITD or Npm1c mutations and Malignant: double mutant (DM)) during AML induction. Moreover, our design allows analysis of the SM mice to deconvolute the contribution of individual mutations to altered chromatin regulation. We have analyzed hematopoietic stem and progenitor cells (HSPCs) from WT and mutant mice for gene expression (RNA-seq), chromatin activation states (ChIP-seq for H3K4me1, H3K4me3, H3K27ac and H3K27me3), chromatin accessibility (ATAC-seq), and promoter-anchored 3-D chromatin interaction (promoter capture HiC, pCHiC)(Figure 1) and have integrated these analyses to determine the transcriptional, epigenetic and DNA-topological evolution of AML. Through pairwise comparisons between mutant and WT HSPCs, our data demonstrated that SM cells, with either Flt3-ITDor Npm1c mutations, alter gene expression only very modestly. However, when both mutations are present in DM cells, much larger gene programs that drive leukemia are both up- and downregulated. To examine the epigenetic regulation of these programs, we next built an enhancer compendium across all 4 allelic states using the H3K4me1 mark. Layering on H3K27ac activation, our data demonstrated that, in contrast to gene expression, significant alterations in enhancer specification and activation occur in advance of gene expression changes, to "prime" critical genes in Flt3-ITD, but not in Npm1c HSPCs. By contrast, Flt3-ITD and Npm1c mutations both altered global chromatin accessibility, with losses and gains evident at multiple critical genes. Similarly, our pCHiC data demonstrated significant alterations in DNA topology in mutant HSPCs that culminate in alterations in DNA "compartments" in DM HSPC. Moreover, they identified "hardwired" and "rewired" interactions between promoters and enhancers important for expression of critical leukemia programs. Analyses of all of these separate layers demonstrated a uniform pattern; progressive alterations in the transition from SM to DM HSPCs. Integrating these layers of analysis clearly demonstrated synergy between the mutations and a correlation between gene expression changes and chromatin dynamics in mutant cells. Furthermore, performing de novo motif analysis suggested a signal-specific transcription factor (TF) network downstream of Flt3-ITD that was amplified in the DM HSPC and that was corroborated by GSEA analysis. Our data had identified long-range regulatory control regions at the Spi1/PU.1 and Hoxa cluster loci amongst many others, and motif analysis had suggested Hox and Pu.1 to be important TFs in our malignant networks. Using these as examplars, we then perturbed the genes and regulatory elements at these loci by shRNA knockdown and CRISPR-mediated excision and could abrogate leukemic growth, validating the importance of our proposed networks. Taken together, these integrated analyses demonstrate a highly dynamic and coordinated process, where the effects of individual mutations synergize to remodel the chromatin landscape and 3D-DNA topology to generate networks that initiate and maintain AML transcriptional programs. Figure Disclosures Vassiliou: Kymab Ltd: Consultancy, Other: Minor Stockholder; Oxstem Ltd: Consultancy; Celgene: Research Funding.


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