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This paper deepens into the analysis of the protein secondary structure using Frenet frame to describe the curvature and torsion of the discrete curve formed by the protein $\alpha$-carbons. We show how a simple criterion based on the…

Biological Physics · Physics 2025-12-08 M. Prados , M. D. Hernández de la Torre , F. de Soto

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

Our work is concerned with the generation and targeted design of RNA, a type of genetic macromolecule that can adopt complex structures which influence their cellular activities and functions. The design of large scale and complex…

Biomolecules · Quantitative Biology 2021-02-02 Zichao Yan , William L. Hamilton , Mathieu Blanchette

RNA velocity is an important model that combines cellular spliced and unspliced RNA counts to infer dynamical properties of various regulatory functions. Despite its wide applicability and many variants used in practice, the model has not…

Dynamical Systems · Mathematics 2026-01-06 Boya Hou , Maxim Raginsky , Abhishek Pandey , Olgica Milenkovic

MicroRNAs (miRNAs) critically modulate stem cell properties like pluripotency, but the fundamental mechanism remains largely unknown. This study systematically analyzes multiple-omics data and builds a systems physical network including…

Molecular Networks · Quantitative Biology 2014-08-14 Anyou Wang

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

RNAs play crucial and versatile roles in biological processes. Computational prediction approaches can help to understand RNA structures and their stabilizing factors, thus providing information on their functions, and facilitating the…

Biological Physics · Physics 2020-09-04 Bin Huang , Yuanyang Du , Shuai Zhang , Wenfei Li , Jun Wang , Jian Zhang

The correct prediction of protein secondary structures is one of the key issues in predicting the correct protein folded shape, which is used for determining gene function. Existing methods make use of amino acids properties as indices to…

Quantitative Methods · Quantitative Biology 2017-05-01 Jian-Jun Shu , Kian-Yan Yong

The functioning of a living cell is largely determined by the structure of its regulatory network, comprising non-linear interactions between regulatory genes. An important factor for the stability and evolvability of such regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Gunnar Boldhaus , Konstantin Klemm

We present a comparative analysis of large-scale topological and evolutionary properties of transcription networks in three species, the two distant bacteria E. coli and B. subtilis, and the yeast S. cerevisiae. The study focuses on the…

Molecular Networks · Quantitative Biology 2008-05-16 A. L. Sellerio , B. Bassetti , H. Isambert , M. Cosentino Lagomarsino

MicroRNAs (miRNAs) are endogenous small non-coding RNAs that play an important role in post-transcriptional gene regulation. However, the experimental determination of miRNA sequence and structure is both expensive and time-consuming.…

Genomics · Quantitative Biology 2021-06-30 Shyaman Jayasundara , Sandali Lokuge , Puwasuru Ihalagedara , Damayanthi Herath

We have performed a statistical analysis of the spatial distribution of operons in the transcriptional regulation network of Escherichia coli. The analysis reveals that operons that regulate each other and operons that are coregulated tend…

Molecular Networks · Quantitative Biology 2007-05-23 P. B. Warren , P. R. ten Wolde

Recently several minimum free energy (MFE) folding algorithms for predicting the joint structure of two interacting RNA molecules have been proposed. Their folding targets are interaction structures, that can be represented as diagrams with…

Combinatorics · Mathematics 2010-06-22 Thomas J. X. Li , Christian M. Reidys

We propose a new topological characterization of RNA secondary structures with pseudoknots based on two topological invariants. Starting from the classic arc-representation of RNA secondary structures, we consider a model that couples both…

Biomolecules · Quantitative Biology 2016-10-19 Graziano Vernizzi , Henri Orland , A. Zee

The ensemble of RNA secondary structures of uniform sequences is studied analytically. We calculate the partition function for very long sequences and discuss how the cross-over length, beyond which asymptotic scaling laws apply, depends on…

Biological Physics · Physics 2007-05-23 Tsunglin Liu , Ralf Bundschuh

The structure of an RNA molecule plays a significant role in its biological function. Predicting structure given a one dimensional sequence of RNA nucleotide bases is a difficult and important problem. Many computer programs (known as in…

Biomolecules · Quantitative Biology 2021-06-15 Mark W. Lewis , Amit Verma , Rick Hennig

The revelation of the supreme authority of nucleic acids in the cellular landscape has precipitated the recognition of the versatility of RNAs in cells. The subsequent discovery of non-coding RNAs was a major breakthrough that revealed…

Tissues and Organs · Quantitative Biology 2025-06-24 Marouane Benzaki

We study plane trees as a model for RNA secondary structure, assigning energy to each tree based on the Nearest Neighbor Thermodynamic Model, and defining a corresponding Gibbs distribution on the trees. Through a bijection between plane…

Combinatorics · Mathematics 2020-04-03 Anna Kirkpatrick , Kalen Patton

The ongoing effort to detect and characterize physical entanglement in biopolymers has so far established that knots are present in many globular proteins and also abound in viral DNA packaged inside bacteriophages. RNA molecules, on the…

Biomolecules · Quantitative Biology 2014-10-08 Cristian Micheletti , Marco Di Stefano , Henri Orland

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