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An RNA molecule is structured on several layers. The primary and most obvious structure is its sequence of bases, i.e. a word over the alphabet {A,C,G,U}. The higher structure is a set of one-to-one base-pairings resulting in a…

Data Structures and Algorithms · Computer Science 2007-05-23 Michael Brinkmeier

RNA molecules are essential cellular machines performing a wide variety of functions for which a specific three-dimensional structure is required. Over the last several years, experimental determination of RNA structures through X-ray…

Biomolecules · Quantitative Biology 2015-06-11 Tristan Cragnolini , Philippe Derreumaux , Samuela Pasquali

In biology, predicting RNA secondary structures plays a vital role in determining its physical and chemical properties. Although we have powerful energy models to predict them as well as parametric analysis to understand the models…

Biomolecules · Quantitative Biology 2023-05-01 Doan Dai Nguyen

Long non-coding RNA, microRNA, and messenger RNA enable key regulations of various biological processes through a variety of diverse interaction mechanisms. Identifying the interactions and cross-talk between these heterogeneous RNA classes…

Molecular Networks · Quantitative Biology 2020-12-10 Nhat Tran , Jean Gao

We propose a new topological characterization of RNA secondary structures with pseudoknots based on two topological invariants. Starting from the classic arc-representation of RNA secondary structures, we consider a model that couples both…

Biomolecules · Quantitative Biology 2016-10-19 Graziano Vernizzi , Henri Orland , A. Zee

Motivation: Predicting the secondary structure of an RNA sequence is useful in many applications. Existing algorithms (based on dynamic programming) suffer from a major limitation: their runtimes scale cubically with the RNA length, and…

Biomolecules · Quantitative Biology 2020-01-14 Liang Huang , He Zhang , Dezhong Deng , Kai Zhao , Kaibo Liu , David A. Hendrix , David H. Mathews

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

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.…

RNA is a fundamental class of biomolecules that mediate a large variety of molecular processes within the cell. Computational algorithms can be of great help in the understanding of RNA structure-function relationship. One of the main…

Biomolecules · Quantitative Biology 2015-02-20 Sandro Bottaro , Francesco Di Palma , Giovanni Bussi

RNA secondary structure prediction is widely used to understand RNA function. Recently, there has been a shift away from the classical minimum free energy (MFE) methods to partition function-based methods that account for folding ensembles…

Biomolecules · Quantitative Biology 2024-02-08 He Zhang , Liang Zhang , David H. Mathews , Liang Huang

We view the folding of RNA-sequences as a map that assigns a pattern of base pairings to each sequence, known as secondary structure. These preimages can be constructed as random graphs (i.e. the neutral networks associated to the structure…

adap-org · Physics 2008-02-03 Christian V. Forst , Christian Reidys , Jacqueline Weber

Many ncRNAs function through RNA-RNA interactions. Fast and reliable RNA structure prediction with consideration of RNA-RNA interaction is useful. Some existing tools are less accurate due to omitting the competing of intermolecular and…

Biomolecules · Quantitative Biology 2022-10-28 He Zhang , Sizhen Li , Liang Zhang , David H. Mathews , Liang Huang

Protein secondary structure prediction is an important problem in bioinformatics. Inspired by the recent successes of deep neural networks, in this paper, we propose an end-to-end deep network that predicts protein secondary structures from…

Biomolecules · Quantitative Biology 2016-04-27 Zhen Li , Yizhou Yu

RNA pseudoknots are a kind of minimal RNA tertiary structural motifs, and their three-dimensional (3D) structures and stability play essential roles in a variety of biological functions. Therefore, to predict 3D structures and stability of…

Biological Physics · Physics 2019-05-21 Ya-Zhou Shi , Lei Jin , Chen-Jie Feng , Ya-Lan Tan , Zhi-Jie Tan

Spectral Embedding (SE) has often been used to map data points from non-linear manifolds to linear subspaces for the purpose of classification and clustering. Despite significant advantages, the subspace structure of data in the original…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Hira Yaseen , Arif Mahmood

We introduce a novel fully convolutional neural network (FCN) architecture for predicting the secondary structure of ribonucleic acid (RNA) molecules. Interpreting RNA structures as weighted graphs, we employ deep learning to estimate the…

Biomolecules · Quantitative Biology 2024-06-07 Marc Harary , Chengxin Zhang

Our work is concerned with the generation and targeted design of RNA, a type of genetic macromolecule that can adopt complex structures which influence their cellular activities and functions. The design of large scale and complex…

Biomolecules · Quantitative Biology 2021-02-02 Zichao Yan , William L. Hamilton , Mathieu Blanchette

The accurate prediction of protein-RNA binding affinity remains an unsolved problem in structural biology, limiting opportunities in understanding gene regulation and designing RNA-targeting therapeutics. A central obstacle is the…

Dual graphs have been applied to model RNA secondary structures with pseudoknots, or intertwined base pairs. In previous works, a linear-time algorithm was introduced to partition dual graphs into maximally connected components called…

Biomolecules · Quantitative Biology 2021-09-09 Louis Petingi

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