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Three-Dimensional (3D) chromatin interactions, such as enhancer-promoter interactions (EPIs), loops, Topologically Associating Domains (TADs), and A/B compartments play critical roles in a wide range of cellular processes by regulating gene…

Genomics · Quantitative Biology 2024-03-07 Brydon P. G. Wall , My Nguyen , J. Chuck Harrell , Mikhail G. Dozmorov

In post-transcriptional regulation, an mRNA molecule is bound by many proteins and/or miRNAs to modulate its function. To enable combinatorial gene regulation, these binding partners of an RNA must communicate with each other, exhibiting…

Biomolecules · Quantitative Biology 2015-01-26 Yi-Hsuan Lin , Ralf Bundschuh

RNA co-transcriptional folding has long been suspected to play an active role in helping proper native folding of ribozymes and structured regulatory motifs in mRNA untranslated regions. Yet, the underlying mechanisms and coding…

Biomolecules · Quantitative Biology 2007-05-23 A. Xayaphoummine , V. Viasnoff , S. Harlepp , H. Isambert

Complex DNA topological structures, including polymer loops, are frequently observed in biological processes when protein molecules simultaneously bind to several distant sites on DNA. However, the molecular mechanisms of formation of these…

Soft Condensed Matter · Physics 2019-11-12 Jaeoh Shin , Anatoly B. Kolomeisky

The relationship between sequences and secondary structures or shapes in RNA exhibits robust statistical properties summarized by three notions: (1) the notion of a typical shape (that among all sequences of fixed length certain shapes are…

Biological Physics · Physics 2009-10-31 Peter Schuster , Walter Fontana

Accurate RNA structure modeling remains difficult because RNA backbones are highly flexible, non-canonical interactions are prevalent, and experimentally determined 3D structures are comparatively scarce. We introduce \emph{RiboSphere}, a…

Machine Learning · Computer Science 2026-03-23 Zhou Zhang , Hanqun Cao , Cheng Tan , Fang Wu , Pheng Ann Heng , Tianfan Fu

Motivation: RNA design aims to find RNA sequences that fold into a given target secondary structure, a problem also known as RNA inverse folding. However, not all target structures are designable. Recent advances in RNA designability have…

Data Structures and Algorithms · Computer Science 2026-04-28 Tianshuo Zhou , David H. Mathews , Liang Huang

Predicting the biological function of molecules, be it proteins or drug-like compounds, from their atomic structure is an important and long-standing problem. Function is dictated by structure, since it is by spatial interactions that…

Empirical scoring functions based on either molecular force fields or cheminformatics descriptors are widely used, in conjunction with molecular docking, during the early stages of drug discovery to predict potency and binding affinity of a…

Machine Learning · Computer Science 2017-03-31 Joseph Gomes , Bharath Ramsundar , Evan N. Feinberg , Vijay S. Pande

In this study, we tackle the challenging task of predicting secondary structures from protein primary sequences, a pivotal initial stride towards predicting tertiary structures, while yielding crucial insights into protein activity,…

Machine Learning · Computer Science 2025-11-18 Disha Varshney , Samarth Garg , Sarthak Tyagi , Deeksha Varshney , Nayan Deep , Asif Ekbal

Ribonucleic acid (RNA) plays fundamental roles in biological systems, from carrying genetic information to performing enzymatic function. Understanding and designing RNA can enable novel therapeutic application and biotechnological…

Biomolecules · Quantitative Biology 2025-12-01 Dana Rubin , Allan dos Santos Costa , Manvitha Ponnapati , Joseph Jacobson

Due to the hierarchical organization of RNA structures and their pivotal roles in fulfilling RNA functions, the formation of RNA secondary structure critically influences many biological processes and has thus been a crucial research topic.…

Accurate identification of interactions between protein residues and ligand functional groups is essential to understand molecular recognition and guide rational drug design. Existing deep learning approaches for protein-ligand…

Machine Learning · Computer Science 2025-09-04 Phuc Pham , Viet Thanh Duy Nguyen , Truong-Son Hy

We enumerate the number of RNA contact structures according to their genus, i.e. the topological character of their pseudoknots. By using a recently proposed matrix model formulation for the RNA folding problem, we obtain exact results for…

Biomolecules · Quantitative Biology 2009-11-10 G. Vernizzi , H. Orland , A. Zee

In this paper we show how to express RNA tertiary interactions via the concepts of tangled diagrams. Tangled diagrams allow to formulate RNA base triples and pseudoknot-interactions and to control the maximum number of mutually crossing…

Combinatorics · Mathematics 2007-12-10 Jing Qin , Christian M. Reidys

Learning from 3D protein structures has gained wide interest in protein modeling and structural bioinformatics. Unfortunately, the number of available structures is orders of magnitude lower than the training data sizes commonly used in…

Biomolecules · Quantitative Biology 2022-06-01 Pedro Hermosilla , Timo Ropinski

The nucleotide sequence representation of DNA can be inadequate for resolving protein-DNA binding sites and regulatory substrates, such as those involved in gene expression and horizontal gene transfer. Considering that sequence-like…

Genomics · Quantitative Biology 2020-07-30 Jan Zrimec

Computational prediction of RNA structures is an important problem in computational structural biology. Studies of RNA structure formation often assume that the process starts from a fully synthesized sequence. Experimental evidence,…

Biomolecules · Quantitative Biology 2021-04-28 Vo Hong Thanh , Dani Korpela , Pekka Orponen

Background: RNA exhibits a variety of structural configurations. Here we consider a structure to be tantamount to the noncrossing Watson-Crick and \pairGU-base pairings (secondary structure) and additional cross-serial base pairs. These…

Combinatorics · Mathematics 2010-03-11 James Z. M. Gao , Linda Y. M. Li , Christian M. Reidys

Proteins, essential to biological systems, perform functions intricately linked to their three-dimensional structures. Understanding the relationship between protein structures and their amino acid sequences remains a core challenge in…

Quantitative Methods · Quantitative Biology 2024-11-04 Liang He , Peiran Jin , Yaosen Min , Shufang Xie , Lijun Wu , Tao Qin , Xiaozhuan Liang , Kaiyuan Gao , Yuliang Jiang , Tie-Yan Liu
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