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RNA-RNA binding is an important phenomenon observed for many classes of non-coding RNAs and plays a crucial role in a number of regulatory processes. Recently several MFE folding algorithms for predicting the joint structure of two…

Combinatorics · Mathematics 2010-06-16 Thomas J. X. Li , Christian M. Reidys

The contact map of a protein fold is a graph that represents the patterns of contacts in the fold. It is known that the contact map can be decomposed into stacks and queues. RNA secondary structures are special stacks in which the degree of…

Combinatorics · Mathematics 2014-06-05 William Y. C. Chen , Qiang-Hui Guo , Lisa H. Sun , Jian Wang

Proteins are essential for life, and their structure determines their function. The protein secondary structure is formed by the folding of the protein primary structure, and the protein tertiary structure is formed by the bending and…

Biomolecules · Quantitative Biology 2024-03-11 Yanlin Zhou , Kai Tan , Xinyu Shen , Zheng He , Haotian Zheng

Isoforms are mRNAs produced from the same gene site in the phenomenon called Alternative Splicing. Studies have shown that more than 95% of human multi-exon genes have undergone alternative splicing. Although there are few changes in mRNA…

Genomics · Quantitative Biology 2023-04-26 Sara Ghazanfari , Ali Rasteh , Seyed Abolfazl Motahari , Mahdieh Soleymani Baghshah

There exists many complicated $k$-noncrossing pseudoknot RNA structures in nature based on some special conditions. The special characteristic of RNA structures gives us great challenges in researching the enumeration, prediction and the…

Combinatorics · Mathematics 2020-11-23 Yangyang Zhao

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

In this paper we experiment with using neural network structures to predict a protein's secondary structure ({\alpha} helix positions) from only its primary structure (amino acid sequence). We implement a fully connected neural network…

Machine Learning · Computer Science 2022-08-25 Sidharth Malhotra , Robin Walters

We present a novel topological classification of RNA secondary structures with pseudoknots. It is based on the topological genus of the circular diagram associated to the RNA base-pair structure. The genus is a positive integer number,…

Biomolecules · Quantitative Biology 2007-05-23 Michael Bon , Graziano Vernizzi , Henri Orland , A. Zee

Many single-stranded (ss) RNA viruses self assemble from capsid protein subunits and the nucleic acid to form an infectious virion. It is believed that the electrostatic interactions between the negatively charged RNA and the positively…

Biological Physics · Physics 2016-08-10 Gonca Erdemci-Tandogan , Jef Wagner , Paul van der Schoot , Rudolf Podgornik , Roya Zandi

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-…

Combinatorics · Mathematics 2016-03-14 Christopher L. Barrett , Thomas J. X. Li , Christian M. Reidys

The dynamics of gene transcription is tightly regulated in eukaryotes. Recent experiments have revealed various kinds of transcriptional dynamics, such as RNA polymerase II pausing, that involves regulation at the transcription initiation…

Cell Behavior · Quantitative Biology 2015-08-11 Yucheng Hu , John Lowengrub

Trans-splicing of leader sequences onto the 59ends of mRNAs is a widespread phenomenon in protozoa, nematodes and some chordates. Using parallel sequencing we have developed a method to simultaneously map 59splice sites and analyze the…

Non-conding RNAs play a key role in the post-transcriptional regulation of mRNA translation and turnover in eukaryotes. miRNAs, in particular, interact with their target RNAs through protein-mediated, sequence-specific binding, giving rise…

Molecular Networks · Quantitative Biology 2018-12-27 Araks Martirosyan , Marco Del Giudice , Chiara Enrico Bena , Andrea Pagnani , Carla Bosia , Andrea De Martino

Circular RNAs (circRNAs) are important components of the non-coding RNA regulatory network. Previous circRNA identification primarily relies on high-throughput RNA sequencing (RNA-seq) data combined with alignment-based algorithms that…

Machine Learning · Computer Science 2025-07-14 Tianyou Jiang

Metrics for indirectly predicting the folding rates of RNA sequences are of interest. In this letter, we introduce a simple metric of RNA structural complexity, which accounts for differences in the energetic contributions of RNA base…

Biomolecules · Quantitative Biology 2009-08-17 Asamoah Nkwanta , Wilfred Ndifon

Background: Exonic splice enhancers are sequences embedded within exons which promote and regulate the splicing of the transcript in which they are located. A class of exonic splice enhancers are the SR proteins, which are thought to…

Genomics · Quantitative Biology 2007-05-23 Thomas A. Down , Bernard Leong , Tim J. P. Hubbard

Motivation: Recent studies of genomic-scale regulatory networks suggested that a feed-forward loop (FFL) circuitry is a key component of many such networks. This led to a study of the functional properties of different FFL types, where the…

Molecular Networks · Quantitative Biology 2008-02-26 Yonatan Bilu

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

Transcription factor binding sites vary in their specificity, both within and between species. Binding specificity has a strong impact on the evolution of gene expression, because it determines how easily regulatory interactions are gained…

Populations and Evolution · Quantitative Biology 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin

Simple hidden Markov models are proposed for predicting secondary structure of a protein from its amino acid sequence. Since the length of protein conformation segments varies in a narrow range, we ignore the duration effect of length…

Biological Physics · Physics 2007-05-23 Wei-Mou Zheng