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Related papers: RNA secondary structure design

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An RNA sequence is a word over an alphabet on four elements $\{A,C,G,U\}$ called bases. RNA sequences fold into secondary structures where some bases match one another while others remain unpaired. Pseudoknot-free secondary structures can…

Data Structures and Algorithms · Computer Science 2018-03-28 Édouard Bonnet , Paweł Rzążewski , Florian Sikora

The problem of RNA secondary structure design (also called inverse folding) is the following: given a target secondary structure, one aims to create a sequence that folds into, or is compatible with, a given structure. In several practical…

Quantitative Methods · Quantitative Biology 2013-08-02 Yu Zhou , Yann Ponty , Stéphane Vialette , Jérôme Waldispühl , Yi Zhang , Alain Denise

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

RNA design is the search for a sequence or set of sequences that will fold into predefined structures, also known as the inverse problem of RNA folding. While numerous RNA design methods have been invented to find sequences capable of…

Biomolecules · Quantitative Biology 2024-08-13 Tianshuo Zhou , Wei Yu Tang , David H. Mathews , Liang Huang

In this work, we consider the Combinatorial RNA Design problem, a minimal instance of the RNA design problem which aims at finding a sequence that admits a given target as its unique base pair maximizing structure. We provide complete…

Quantitative Methods · Quantitative Biology 2015-06-22 Jozef Haleš , Ján Maňuch , Yann Ponty , Ladislav Stacho

An RNA secondary structure is designable if there is an RNA sequence which can attain its maximum number of base pairs only by adopting that structure. The combinatorial RNA design problem, introduced by Hale\v{s} et al. in 2016, is to…

Combinatorics · Mathematics 2020-05-12 Jonathan Jedwab , Tara Petrie , Samuel Simon

RNA design aims to find a sequence that folds with highest probability into a designated target structure. However, certain structures are undesignable, meaning no sequence can fold into the target structure under the default (Turner) RNA…

Data Structures and Algorithms · Computer Science 2025-05-06 Tianshuo Zhou , Wei Yu Tang , Apoorv Malik , David H. Mathews , Liang Huang

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 design aims to identify RNA sequences that fold into a target secondary structure. This task is challenging in terms of computational efficiency. Most existing methods focus on either minimum free energy (MFE)-based or ensemble-based…

Biomolecules · Quantitative Biology 2026-03-04 Tianshuo Zhou , David H. Mathews , Liang Huang

In this work, we investigate a challenging problem, which has been considered to be an important criterion in designing codewords for DNA computing purposes, namely secondary structure avoidance in single-stranded DNA molecules. In short,…

Information Theory · Computer Science 2023-02-28 Tuan Thanh Nguyen , Kui Cai , Han Mao Kiah , Duc Tu Dao , Kees A. Schouhamer Immink

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

In this paper, we consider the problem of designing DNA sequences (codewords) for DNA storage systems and DNA computing that are unlikely to fold back onto themselves to form undesirable secondary structures. The paper addresses both the…

Discrete Mathematics · Computer Science 2016-11-17 Olgica Milenkovic , Navin Kashyap

We construct a minimalist model of RNA secondary-structure formation and use it to study the mapping from sequence to structure. There are strong, qualitative differences between two-letter and four or six-letter alphabets. With only two…

Statistical Mechanics · Physics 2009-11-07 Ranjan Mukhopadhyay , Eldon Emberly , Chao Tang , Ned S. Wingreen

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

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

It is the first step for understanding how RNA structure folds from base sequences that to know how its secondary structure is formed. Traditional energy-based algorithms are short of precision, particularly for non-nested sequences, while…

Quantum Physics · Physics 2023-05-18 Ji Jiang , Qipeng Yan , Ye Li , Min Lu , Ziwei Cui , Menghan Dou , Qingchun Wang , Yu-Chun Wu , Guo-Ping Guo

In this paper we study irreducibility in RNA structures. By RNA structure we mean RNA secondary as well as RNA pseudoknot structures. In our analysis we shall contrast random and minimum free energy (mfe) configurations. We compute various…

Biomolecules · Quantitative Biology 2009-02-24 Emma Y. Jin , Christian M. Reidys

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 2010-03-12 James Z. M. Gao , Linda Y. M. Li , Christian M. Reidys

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

RNA secondary structure prediction and classification are two important problems in the field of RNA biology. Here, we propose a new permutation based approach to create logical non-disjoint clusters of different secondary structures of a…

Biomolecules · Quantitative Biology 2014-03-24 Nilay Chheda , Manish K Gupta
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