scholarly journals An algorithmic approach to the Polydegree Conjecture for plane polynomial automorphisms

2019 ◽  
Vol 223 (12) ◽  
pp. 5346-5359
Author(s):  
Drew Lewis ◽  
Kaitlyn Perry ◽  
Armin Straub
2012 ◽  
Vol 44 (12) ◽  
pp. 43-54 ◽  
Author(s):  
Agasi Zarbali ogly Melikov ◽  
Leonid A. Ponomarenko ◽  
Che Soong Kim

Astérisque ◽  
2020 ◽  
Vol 415 ◽  
pp. 35-43
Author(s):  
Romain DUJARDIN

2021 ◽  
Vol 22 (1) ◽  
Author(s):  
Marie Zufferey ◽  
Yuanlong Liu ◽  
Daniele Tavernari ◽  
Marco Mina ◽  
Giovanni Ciriello

Abstract Background Spatial interactions and insulation of chromatin regions are associated with transcriptional regulation. Domains of frequent chromatin contacts are proposed as functional units, favoring and delimiting gene regulatory interactions. However, contrasting evidence supports the association between chromatin domains and transcription. Result Here, we assess gene co-regulation in chromatin domains across multiple human cancers, which exhibit great transcriptional heterogeneity. Across all datasets, gene co-regulation is observed only within a small yet significant number of chromatin domains. We design an algorithmic approach to identify differentially active domains (DADo) between two conditions and show that these provide complementary information to differentially expressed genes. Domains comprising co-regulated genes are enriched in the less active B sub-compartments and for genes with similar function. Notably, differential activation of chromatin domains is not associated with major changes of domain boundaries, but rather with changes of sub-compartments and intra-domain contacts. Conclusion Overall, gene co-regulation is observed only in a minority of chromatin domains, whose systematic identification will help unravel the relationship between chromatin structure and transcription.


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