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A hierarchical model for the growth of planar arch structures for RNA secondary structures is presented, and shown to be equivalent to a tree-growth model. Both models can be solved analytically, giving access to scaling functions for large…

Biomolecules · Quantitative Biology 2008-04-11 Francois David , Christian Hagendorf , Kay Joerg Wiese

Given usefulness of protein language models (LMs) in structure and functional inference, RNA LMs have received increased attentions in the last few years. However, these RNA models are often not compared against the same standard. Here, we…

Biomolecules · Quantitative Biology 2025-05-15 He Wang , Yikun Zhang , Jie Chen , Jian Zhan , Yaoqi Zhou

Recently, microRNAs (miRNAs) have emerged as central posttranscriptional regulators of gene expression. miRNAs regulate many key biological processes, including cell growth, death, development and differentiation. This discovery is…

Molecular Networks · Quantitative Biology 2007-12-24 Edwin Wang

The precise layout of gene expression patterns is a crucial step in development. Formation of a sharp boundary between high and low expression domains requires a genetic mechanism which is both sensitive and robust to fluctuations, a demand…

Molecular Networks · Quantitative Biology 2015-06-26 Erel Levine , Peter McHale , Herbert Levine

We discuss the physics of RNA as described by its secondary structure. We examine the static properties of a homogeneous RNA-model that includes pairing and base stacking energies as well as entropic costs for internal loops. For large…

Statistical Mechanics · Physics 2009-11-07 M. Mueller

Predicting protein structure from amino acid sequence is one of the most important unsolved problems of molecular biology and biophysics.Not only would a successful prediction algorithm be a tremendous advance in the understanding of the…

Computational Engineering, Finance, and Science · Computer Science 2010-06-15 K. K Senapati , G. Sahoo , D. Bhaumik

The folding of biological macromolecules is a fundamental process of which we lack a full comprehension. Mostly studied in proteins and RNA, single-stranded DNA (ssDNA) also folds, at physiological salt conditions, by forming non-specific…

Soft Condensed Matter · Physics 2021-09-23 X. Viader Godoy , C. R. Pulido , B. Ibarra , M. Manosas , F. Ritort

We present a statistical-mechanical analysis of the positioning of nucleosomes along one of the chromosomes of yeast DNA as a function of the strength of the binding potential and of the chemical potential of the nucleosomes. We find a…

Soft Condensed Matter · Physics 2009-11-13 David J. Schwab , Robijn F. Bruinsma , Joseph Rudnick , Jonathan Widom

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…

Combinatorics · Mathematics 2009-09-29 Emma Y. Jin , Jing Qin , Christian M. Reidys

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

MicroRNAs (miRNAs) are small non-coding RNAs that regulate gene expression post-transcriptionally. They are involved in key biological processes and then may play a major role in the development of human diseases including cancer, in…

Molecular Networks · Quantitative Biology 2016-08-10 Abderrahim Chafik

The subcellular localization of RNAs, including long non-coding RNAs (lncRNAs), messenger RNAs (mRNAs), microRNAs (miRNAs) and other smaller RNAs, plays a critical role in determining their biological functions. For instance, lncRNAs are…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Cece Zhang , Xuehuan Zhu , Nick Peterson , Jieqiong Wang , Shibiao Wan

The genetic regulatory network (GRN) plays a key role in controlling the response of the cell to changes in the environment. Although the structure of GRNs has been the subject of many studies, their large scale structure in the light of…

Molecular Networks · Quantitative Biology 2018-11-21 Santhust Kumar , Saurabh Mahajan , Sanjay Jain

RNA function is intimately related to its structural dynamics. Molecular dynamics simulations are useful for exploring biomolecular flexibility but are severely limited by the accessible timescale. Enhanced sampling methods allow this…

Biomolecules · Quantitative Biology 2018-02-06 Vojtěch Mlýnský , Giovanni Bussi

Motivation: DNA data is transcribed into single-stranded RNA, which folds into specific molecular structures. In this paper we pose the question to what extent sequence- and structure-information correlate. We view this correlation as…

Combinatorics · Mathematics 2016-08-23 Christopher Barrett , Fenix W. Huang , Christian M. Reidys

A lattice model of RNA denaturation which fully accounts for the excluded volume effects among nucleotides is proposed. A numerical study shows that interactions forming pseudoknots must be included in order to get a sharp continuous…

Soft Condensed Matter · Physics 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

The opening of the Y-fork - the first step of DNA replication - is shown to be a critical phenomenon under an external force at one of its ends. From the results of an equivalent delocalization in a non-hermitian quantum-mechanics problem…

Statistical Mechanics · Physics 2009-10-31 Somendra M. Bhattacharjee

Ribonucleic acid (RNA) is involved in many regulatory and catalytic processes in the cell. The function of any RNA molecule is intimately related with its structure. In-line probing experiments provide valuable structural datasets for a…

Biomolecules · Quantitative Biology 2017-04-19 Vojtěch Mlýnský , Giovanni Bussi

Alternative cassette exons are known to originate from two processes exonization of intronic sequences and exon shuffling. Herein, we suggest an additional mechanism by which constitutively spliced exons become alternative cassette exons…

Eukaryotic cells are often exposed to fluctuations in growth conditions as well as endogenous and exogenous stress-related agents. In addition, during development global patterns of gene transcription change dramatically, and these changes…

Genomics · Quantitative Biology 2008-12-23 John Herrick