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We present TT2NE, a new algorithm to predict RNA secondary structures with pseudoknots. The method is based on a classification of RNA structures according to their topological genus. TT2NE guarantees to find the minimum free energy…

Biomolecules · Quantitative Biology 2010-10-22 Michael Bon , Henri Orland

The paper investigates the computational problem of predicting RNA secondary structures. The general belief is that allowing pseudoknots makes the problem hard. Existing polynomial-time algorithms are heuristic algorithms with no…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Samuel Ieong , Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Siu-Ming Yiu

We describe a dynamic programming algorithm for predicting optimal RNA secondary structure, including pseudoknots. The algorithm has a worst case complexity of ${\cal O}(N^6)$ in time and ${\cal O}(N^4)$ in storage. The description of the…

Biological Physics · Physics 2009-09-25 Elena Rivas , Sean R. Eddy

We present McGenus, an algorithm to predict RNA secondary structures with pseudoknots. The method is based on a classification of RNA structures according to their topological genus. McGenus can treat sequences of up to 1000 bases and…

Biomolecules · Quantitative Biology 2013-02-18 M. Bon , C. Micheletti , H. Orland

Ab initio RNA secondary structure predictions have long dismissed helices interior to loops, so-called pseudoknots, despite their structural importance. Here, we report that many pseudoknots can be predicted through long time scales RNA…

Biological Physics · Physics 2009-11-10 A. Xayaphoummine , T. Bucher , F. Thalmann , H. Isambert

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

RNA molecules are known to form complex secondary structures including pseudoknots. A systematic framework for the enumeration, classification and prediction of secondary structures is critical to determine the biological significance of…

Biomolecules · Quantitative Biology 2025-12-24 Rayan Ibrahim , Allison H. Moore

Predicting the secondary structure of RNA is a core challenge in computational biology, essential for understanding molecular function and designing novel therapeutics. The field has evolved from foundational but accuracy-limited…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Giovanni Bussi , Guido Sanguinetti

In this paper we consider the problem of RNA folding with pseudoknots. We use a graphical representation in which the secondary structures are described by planar diagrams. Pseudoknots are identified as non-planar diagrams. We analyze the…

Biomolecules · Quantitative Biology 2007-05-23 G. Vernizzi , H. Orland , A. Zee

The information-encoding molecules RNA and DNA form a combinatorially large set of secondary structures through nucleic acid base pairing. Thermodynamic prediction algorithms predict favoured, or minimum free energy (MFE), secondary…

Data Structures and Algorithms · Computer Science 2024-07-16 Ahmed Shalaby , Damien Woods

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

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

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

With the continuous development of neural networks for computer vision tasks, more and more network architectures have achieved outstanding success. As one of the most advanced neural network architectures, DenseNet shortcuts all feature…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Rui-Yang Ju , Ting-Yu Lin , Jia-Hao Jian , Jen-Shiun Chiang , Wei-Bin Yang

In this paper, we propose an end-to-end deep learning model, called E2Efold, for RNA secondary structure prediction which can effectively take into account the inherent constraints in the problem. The key idea of E2Efold is to directly…

Machine Learning · Computer Science 2020-06-11 Xinshi Chen , Yu Li , Ramzan Umarov , Xin Gao , Le Song

The Human Genome Project has led to an exponential increase in data related to the sequence, structure, and function of biomolecules. Bioinformatics is an interdisciplinary research field that primarily uses computational methods to analyze…

Biomolecules · Quantitative Biology 2024-05-14 Yanlin Zhou , Tong Zhan , Yichao Wu , Bo Song , Chenxi Shi

Motivation: MicroRNAs (miRNAs) play pivotal roles in gene expression regulation by binding to target sites of messenger RNAs (mRNAs). While identifying functional targets of miRNAs is of utmost importance, their prediction remains a great…

Genomics · Quantitative Biology 2021-10-14 Seonwoo Min , Byunghan Lee , Sungroh Yoon

The secondary structure of ribonucleic acid (RNA) is more stable and accessible in the cell than its tertiary structure, making it essential for functional prediction. Although deep learning has shown promising results in this field,…

Biomolecules · Quantitative Biology 2024-06-21 Cheng Tan , Zhangyang Gao , Hanqun Cao , Xingran Chen , Ge Wang , Lirong Wu , Jun Xia , Jiangbin Zheng , Stan Z. Li

It has been well accepted that the RNA secondary structures of most functional non-coding RNAs (ncRNAs) are closely related to their functions and are conserved during evolution. Hence, prediction of conserved secondary structures from…

Biomolecules · Quantitative Biology 2013-07-09 Michiaki Hamada

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
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