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The alignment of biological sequences such as DNA, RNA, and proteins, is one of the basic tools that allow to detect evolutionary patterns, as well as functional/structural characterizations between homologous sequences in different…

Quantitative Methods · Quantitative Biology 2023-05-01 Louise Budzynski , Andrea Pagnani

Questions in computational molecular biology generate various discrete optimization problems, such as DNA sequence alignment and RNA secondary structure prediction. However, the optimal solutions are fundamentally dependent on the…

The high-throughput short-reads RNA-seq protocols often produce paired-end reads, with the middle portion of the fragments being unsequenced. We explore if the full-length fragments can be computationally reconstructed from the sequenced…

Genomics · Quantitative Biology 2023-10-06 Xiang Li , Mingfu Shao

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

The thesis consists of two projects. In the first project, we present a software that analyses RNA secondary structures and compares them. The goal of this software is to find the differences between two secondary structures (experimental…

Biomolecules · Quantitative Biology 2012-12-18 Asaf Farhi

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

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

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 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

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

Computational RNA secondary structure prediction is rather well established. However, such prediction algorithms always depend on a large number of experimentally measured parameters. Here, we study how sensitive structure prediction…

Quantitative Methods · Quantitative Biology 2007-05-23 D. M. Layton , R. Bundschuh

The Ribonucleic Acid (RNA) inverse folding problem, designing nucleotide sequences that fold into specific tertiary structures, is a fundamental computational biology problem with important applications in synthetic biology and…

Biomolecules · Quantitative Biology 2025-12-01 Mehyar Mlaweh , Tristan Cazenave , Ines Alaya

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

Computing equilibrium concentrations of molecular complexes is generally analytically intractable and requires numerical approaches. In this work we focus on the polymer-monomer level, where indivisible molecules (monomers) combine to form…

Data Structures and Algorithms · Computer Science 2025-08-25 Hamidreza Akef , Minki Hhan , David Soloveichik

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

We consider a ${\rm A}_m{\rm B}_n$ diblock copolymer, whose links are capable of forming local reversible bonds with each other. We assume that the resulting structure of the bonds is RNA--like, i.e. topologically isomorphic to a tree. We…

Soft Condensed Matter · Physics 2015-06-25 M. V. Tamm , S. K. Nechaev

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

Machine Learning · Computer Science 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

The evolution of the genome has led to very sophisticated and complex regulation. Because of the abundance of non-coding RNA (ncRNA) in the cell, different species will promiscuously associate with each other, suggesting collective dynamics…

Molecular Networks · Quantitative Biology 2018-05-16 J. M. Deutsch

We introduce an algorithm for the alignment of protein- coding sequences accounting for frameshifts. The main specificity of this algorithm as compared to previously published protein-coding sequence alignment methods is the introduction of…

Data Structures and Algorithms · Computer Science 2015-08-21 François Bélanger , Aïda Ouangraoua