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A series of coarse-grained models have been developed for the study of the molecular dynamics of RNA nanostructures. The models in the series have one to three beads per nucleotide and include different amounts of detailed structural…

Quantitative Methods · Quantitative Biology 2015-05-18 Maxim Paliy , Roderick Melnik , Bruce A. Shapiro

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

The relationship between charge and structure dictates the properties of electrochemical systems. For example, reversible Na-ion intercalation - a low-cost alternative to Li-ion technology - often induces detrimental structural phase…

The classical attenuation regulation of gene expression in bacteria is considered. We propose to represent the secondary RNA structure in the leader region of a gene or an operon by a term, and we give a probabilistic term rewriting system…

Quantitative Methods · Quantitative Biology 2007-06-15 Eugene Asarin , Thierry Cachat , Alexander Seliverstov , Tayssir Touili , Vassily Lyubetsky

Co-optimizing mRNA sequences for both codon optimality and secondary structure is crucial for producing stable and efficacious mRNA therapeutics. Codon optimization, which adjusts nucleotide sequences to enhance translational efficiency,…

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 is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Jianhui Li , Redmond P. Smyth , Guido Sanguinetti , Giovanni Bussi

The three-dimensional conformations of non-coding RNAs underpin their biochemical functions but have largely eluded experimental characterization. Here, we report that integrating a classic mutation/rescue strategy with high-throughput…

Biomolecules · Quantitative Biology 2015-06-09 Siqi Tian , Pablo Cordero , Wipapat Kladwang , Rhiju Das

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

Existing state-of-the-art methods that take a single RNA sequence and predict the corresponding RNA secondary-structure are thermodynamic methods. These predict the most stable RNA structure, but do not consider the process of structure…

Biomolecules · Quantitative Biology 2012-07-26 Jeff R. Proctor , Irmtraud M. Meyer

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

We propose a new approach for modelling the process of RNA folding as a graph transformation guided by the global value of free energy. Since the folding process evolves towards a configuration in which the free energy is minimal, the…

Formal Languages and Automata Theory · Computer Science 2016-12-07 Adane Letta Mamuye , Emanuela Merelli , Luca Tesei

Understanding the operation of biological molecular motors, nanoscale machines that transduce electrochemical energy into mechanical work, is enhanced by bottom-up strategies to synthesize novel motors.

Biological Physics · Physics 2017-05-15 Chapin Korosec , Nancy R. Forde

Biomolecular graph analysis has recently gained much attention in the emerging field of geometric deep learning. Here we focus on organizing biomolecular graphs in ways that expose meaningful relations and variations between them. We…

Machine Learning · Computer Science 2022-03-29 Egbert Castro , Andrew Benz , Alexander Tong , Guy Wolf , Smita Krishnaswamy

A quantitative characterization of the relationship between molecular sequence and structure is essential to improve our understanding of how function emerges. This particular genotype-phenotype map has been often studied in the context of…

Populations and Evolution · Quantitative Biology 2017-04-20 José A. Cuesta , Susanna Manrubia

The formation of secondary structures by a random RNA sequence is studied as a model system for the sequence-structure problem omnipresent in biopolymers. Several toy energy models are introduced to allow detailed analytical and numerical…

Statistical Mechanics · Physics 2009-11-07 R. Bundschuh , T. Hwa

The statistical mechanics of heteropolymer structure formation is studied in the context of RNA secondary structures. A designed RNA sequence biased energetically towards a particular native structure (a hairpin) is used to study the…

Statistical Mechanics · Physics 2009-10-31 R. Bundschuh , T. Hwa

RNA design shows growing applications in synthetic biology and therapeutics, driven by the crucial role of RNA in various biological processes. A fundamental challenge is to find functional RNA sequences that satisfy given structural…

Biomolecules · Quantitative Biology 2024-04-18 Han Huang , Ziqian Lin , Dongchen He , Liang Hong , Yu Li

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

In this paper, we use the biological domain knowledge incorporated into stochastic models for ab initio RNA secondary-structure prediction to improve the state of the art in joint compression of RNA sequence and structure data (Liu et al.,…

Biomolecules · Quantitative Biology 2023-02-24 Evarista Onokpasa , Sebastian Wild , Prudence W. H. Wong