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In this paper we study properties of topological RNA structures, i.e.~RNA contact structures with cross-serial interactions that are filtered by their topological genus. RNA secondary structures within this framework are topological…

组合数学 · 数学 2016-06-23 Thomas J. X. Li , Christian M. Reidys

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…

生物大分子 · 定量生物学 2013-07-09 Michiaki Hamada

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…

生物大分子 · 定量生物学 2022-07-26 Nicola Calonaci , Alisha Jones , Francesca Cuturello , Michael Sattler , Giovanni Bussi

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…

生物大分子 · 定量生物学 2025-12-24 Rayan Ibrahim , Allison H. Moore

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…

生物大分子 · 定量生物学 2015-06-11 Tristan Cragnolini , Philippe Derreumaux , Samuela Pasquali

Computational prediction of RNA structures is an important problem in computational structural biology. Studies of RNA structure formation often assume that the process starts from a fully synthesized sequence. Experimental evidence,…

生物大分子 · 定量生物学 2021-04-28 Vo Hong Thanh , Dani Korpela , Pekka Orponen

Non-coding RNAs are ubiquitous, but the discovery of new RNA gene sequences far outpaces research on their structure and functional interactions. We mine the evolutionary sequence record to derive precise information about function and…

生物大分子 · 定量生物学 2016-04-22 Caleb Weinreb , Adam J. Riesselman , John B. Ingraham , Torsten Gross , Chris Sander , Debora S. Marks

Given a random RNA secondary structure, $S$, we study RNA sequences having fixed ratios of nuclotides that are compatible with $S$. We perform this analysis for RNA secondary structures subject to various base pairing rules and minimum arc-…

组合数学 · 数学 2016-03-14 Christopher L. Barrett , Thomas J. X. Li , Christian M. Reidys

In higher eukaryotes, alternative splicing is usually regulated by protein factors, which bind to the pre-mRNA and affect the recognition of splicing signals. There is recent evidence that the secondary structure of the pre-mRNA may also…

定量方法 · 定量生物学 2015-10-12 Mireya Plass , Eduardo Eyras

Availability of high-resolution crystal structures of ribosomal subunits of different species opens a route to investigate about molecular interactions between its constituents and stabilization strategy. Structural analysis of the small…

生物大分子 · 定量生物学 2012-12-06 Saurav Mallik , Sudip Kundu

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…

种群与进化 · 定量生物学 2017-04-20 José A. Cuesta , Susanna Manrubia

Conformational entropy for atomic-level, three dimensional biomolecules is known experimentally to play an important role in protein-ligand discrimination, yet reliable computation of entropy remains a difficult problem. Here we describe…

生物大分子 · 定量生物学 2016-02-17 Juan Antonio Garcia-Martin , Peter Clote

Integrative biomolecular modeling of RNA relies on structural refined collections and accurate experimental data that reflect binding and folding behavior. However, the prediction of such collections remains challenging due to the rugged…

Much of the complexity observed in gene regulation originates from cooperative protein-DNA binding. While studies of the target search of proteins for their specific binding sites on the DNA have revealed design principles for the…

生物大分子 · 定量生物学 2015-05-30 Nico Geisel , Ulrich Gerland

We consider a simple model for the unfolding of RNA tertiary structure under dynamic loading. The opening of such a structure is regarded as a two step process, each corresponding to the overcoming of a single energy barrier. The resulting…

生物大分子 · 定量生物学 2009-11-10 Alberto Imparato , Luca Peliti

MicroRNAs (miRNAs) are small non-coding RNAs which regulate gene expression by binding to the 3' UTR of the corresponding messenger RNAs. We construct miRNA co-target networks for 22 different species using a target prediction database,…

分子网络 · 定量生物学 2013-07-05 Mahashweta Basu , Nitai P. Bhattacharyya , P. K. Mohanty

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…

数据结构与算法 · 计算机科学 2018-03-28 Édouard Bonnet , Paweł Rzążewski , Florian Sikora

In this paper we derive the generating function of RNA structures with pseudoknots. We enumerate all $k$-noncrossing RNA pseudoknot structures categorized by their maximal sets of mutually intersecting arcs. In addition we enumerate…

组合数学 · 数学 2009-09-29 Emma Y. Jin , Jing Qin , Christian M. Reidys

Due to the hierarchical organization of RNA structures and their pivotal roles in fulfilling RNA functions, the formation of RNA secondary structure critically influences many biological processes and has thus been a crucial research topic.…

RNA is a fundamental class of biomolecules that mediate a large variety of molecular processes within the cell. Computational algorithms can be of great help in the understanding of RNA structure-function relationship. One of the main…

生物大分子 · 定量生物学 2015-02-20 Sandro Bottaro , Francesco Di Palma , Giovanni Bussi