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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

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

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

Shapes of interacting RNA complexes are studied using a filtration via their topological genus. A shape of an RNA complex is obtained by (iteratively) collapsing stacks and eliminating hairpin loops. This shape-projection preserves the…

Combinatorics · Mathematics 2014-05-22 Benjamin MingMing Fu , Christian M. Reidys

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

RNA function crucially depends on its structure. Thermodynamic models currently used for secondary structure prediction rely on computing the partition function of folding ensembles, and can thus estimate minimum free-energy structures and…

Biomolecules · Quantitative Biology 2022-07-26 Nicola Calonaci , Alisha Jones , Francesca Cuturello , Michael Sattler , Giovanni Bussi

Recently, ultra high-throughput sequencing of RNA (RNA-Seq) has been developed as an approach for analysis of gene expression. By obtaining tens or even hundreds of millions of reads of transcribed sequences, an RNA-Seq experiment can offer…

Methodology · Statistics 2011-06-17 Julia Salzman , Hui Jiang , Wing Hung Wong

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

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

RNA, whose functionality is largely determined by its structure, plays an important role in many biological activities. The prediction of pairwise structural proximity between each nucleotide of an RNA sequence can characterize the…

Quantitative Methods · Quantitative Biology 2024-01-22 Yiren Jian , Chongyang Gao , Chen Zeng , Yunjie Zhao , Soroush Vosoughi

The development of novel high-throughput sequencing (HTS) methods for RNA (RNA-Seq) has provided a very powerful mean to study splicing under multiple conditions at unprecedented depth. However, the complexity of the information to be…

Genomics · Quantitative Biology 2015-08-03 Gael P. Alamancos , Eneritz Agirre , Eduardo Eyras

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

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

The kinetic folding of RNA sequences into secondary structures is modeled as a complex adaptive system, the components of which are possible RNA structural rearrangements (SRs) and their associated bases and base pairs. RNA bases and base…

Biomolecules · Quantitative Biology 2007-05-23 Wilfred Ndifon

RNA secondary structures of increasing complexity are probed combining single molecule stretching experiments and stochastic unfolding/refolding simulations. We find that force-induced unfolding pathways cannot usually be interpretated by…

Biological Physics · Physics 2015-06-26 S. Harlepp , T. Marchal , J. Robert , J-F. Leger , A. Xayaphoummine , H. Isambert , D. Chatenay

High throughput genome sequencing technologies such as RNA-Seq and Microarray have the potential to transform clinical decision making and biomedical research by enabling high-throughput measurements of the genome at a granular level.…

Understanding the base pairing of an RNA sequence provides insight into its molecular structure.By mining suboptimal sampling data, RNAprofiling 1.0 identifies the dominant helices in low-energy secondary structures as features, organizes…

Biomolecules · Quantitative Biology 2023-03-29 Forrest Hurley , Christine Heitsch

RNA-sequencing (RNA-seq) has become an exemplar technology in modern biology and clinical applications over the past decade. It has gained immense popularity in the recent years driven by continuous efforts of the bioinformatics community…

Models for RNA secondary structures (the topology of folded RNA) without pseudo knots are disordered systems with a complex state-space below a critical temperature. Hence, a complex dynamical (glassy) behavior can be expected, when…

Disordered Systems and Neural Networks · Physics 2008-02-02 S. Wolfsheimer , B. Burghardt , A. Mann , A. K. Hartmann

Secondary structure plays an important role in determining the function of non-coding RNAs. Hence, identifying RNA secondary structures is of great value to research. Computational prediction is a mainstream approach for predicting RNA…

Biomolecules · Quantitative Biology 2021-09-15 Qi Zhao , Zheng Zhao , Xiaoya Fan , Zhengwei Yuan , Qian Mao , Yudong Yao