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A growing number of proteins have been shown to adopt knotted folds. Yet the biological roles and biophysical properties of these knots remain poorly understood. We have used protein engineering and atomic force microscopy to explore…

Biological Physics · Physics 2009-11-13 T. Bornschloegl , D. M. Anstrom , E. Mey , J. Dzubiella , M. Rief , K. T. Forest

Graph neural networks (GNNs) achieve strong performance on graph learning tasks, but training on large-scale networks remains computationally challenging. Transferability results show that GNNs with fixed weights can generalize from smaller…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Haoyu Wang , Renyuan Ma , Gonzalo Mateos , Luana Ruiz

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

Lots of learning tasks require dealing with graph data which contains rich relation information among elements. Modeling physics systems, learning molecular fingerprints, predicting protein interface, and classifying diseases demand a model…

Machine Learning · Computer Science 2021-10-07 Jie Zhou , Ganqu Cui , Shengding Hu , Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun

Network topology excels at structural predictions but fails to capture functional semantics encoded in biomedical literature. We present RAG-GNN, an end-to-end trainable retrieval-augmented graph neural network framework that integrates GNN…

Molecular Networks · Quantitative Biology 2026-05-14 Hasi Hays , William J. Richardson

Machine learning (ML) is revolutionizing protein structural analysis, including an important subproblem of predicting protein residue contact maps, i.e., which amino-acid residues are in close spatial proximity given the amino-acid sequence…

Quantitative Methods · Quantitative Biology 2022-12-23 Kuang Liu , Rajiv K. Kalia , Xinlian Liu , Aiichiro Nakano , Ken-ichi Nomura , Priya Vashishta , Rafael Zamora-Resendizc

We formulate the RNA folding problem as an $N\times N$ matrix field theory. This matrix formalism allows us to give a systematic classification of the terms in the partition function according to their topological character. The theory is…

Statistical Mechanics · Physics 2009-11-07 H. Orland , A. Zee

RNA molecules follow a succession of enzyme-mediated processing steps from transcription until maturation. The participating enzymes, for example the spliceosome for mRNAs and Drosha and Dicer for microRNAs, are also produced in the cell…

Quantitative Methods · Quantitative Biology 2015-06-15 Filippos D. Klironomos , Juliette de Meaux , Johannes Berg

We present a new, nucleotide-level model for RNA, oxRNA, based on the coarse-graining methodology recently developed for the oxDNA model of DNA. The model is designed to reproduce structural, mechanical and thermodynamic properties of RNA,…

Biological Physics · Physics 2014-06-18 Petr Šulc , Flavio Romano , Thomas E. Ouldridge , Jonathan P. K. Doye , Ard A. Louis

Large RNA molecules often carry multiple functional domains whose spatial arrangement is an important determinant of their function. Pre-mRNA splicing, furthermore, relies on the spatial proximity of the splice junctions that can be…

Quantitative Methods · Quantitative Biology 2013-07-31 Rolf Backofen , Markus Fricke , Manja Marz , Jing Qin , Peter F. Stadler

Determination of sizes and flexibilities of RNA molecules is important in understanding the nature of packing in folded structures and in elucidating interactions between RNA and DNA or proteins. Using the coordinates of the structures of…

Biomolecules · Quantitative Biology 2009-11-13 Changbong Hyeon , Ruxandra I. Dima , D. Thirumalai

Motivation: The consistent amount of different types of omics data requires novel methods of analysis and data integration. In this work we describe Regression2Net, a computational approach to analyse gene expression and methylation…

Computational Engineering, Finance, and Science · Computer Science 2015-07-06 Francesco Gadaleta , Kyrylo Bessonov

The well-known issue of reconstructing regulatory networks from gene expression measurements has been somewhat disrupted by the emergence and rapid development of single-cell data. Indeed, the traditional way of seeing a gene regulatory…

Molecular Networks · Quantitative Biology 2021-10-01 Ulysse Herbach

Simulated nucleotide sequences are widely used in theoretical and empirical molecular evolution studies. Conventional simulators generally use fixed parameter time-homogeneous Markov model for sequence evolution. In this work, we use the…

Populations and Evolution · Quantitative Biology 2009-12-14 Sheng Guo , Li-San Wang , Junhyong Kim

Graph convolutional networks (GCNs) are powerful tools for graph-structured data. However, they have been recently shown to be vulnerable to topological attacks. To enhance adversarial robustness, we go beyond spectral graph theory to…

Machine Learning · Computer Science 2021-09-22 Ming Jin , Heng Chang , Wenwu Zhu , Somayeh Sojoudi

The inference of gene regulatory networks (GRNs) is a foundational stride towards deciphering the fundamentals of complex biological systems. Inferring a possible regulatory link between two genes can be formulated as a link prediction…

Machine Learning · Computer Science 2025-04-25 Binon Teji , Swarup Roy

Neural Networks (GNNs) have revolutionized the molecular discovery to understand patterns and identify unknown features that can aid in predicting biophysical properties and protein-ligand interactions. However, current models typically…

Machine Learning · Computer Science 2022-12-21 Carter Knutson , Gihan Panapitiya , Rohith Varikoti , Neeraj Kumar

Motivation: RNA design aims to find RNA sequences that fold into a given target secondary structure, a problem also known as RNA inverse folding. However, not all target structures are designable. Recent advances in RNA designability have…

Data Structures and Algorithms · Computer Science 2026-04-28 Tianshuo Zhou , David H. Mathews , Liang Huang

A theory of the unzipping of double-stranded (ds) DNA is presented, and is compared to recent micromanipulation experiments. It is shown that the interactions which stabilize the double helix and the elastic rigidity of single strands (ss)…

Statistical Mechanics · Physics 2009-11-07 S. Cocco , R. Monasson , J. Marko

The ribosomal density along the coding region of the mRNA molecule affect various fundamental intracellular phenomena including: protein production rates, organismal fitness, ribosomal drop off, and co-translational protein folding. Thus,…

Genomics · Quantitative Biology 2017-05-19 Yoram Zarai , Michael Margaliot , Eduardo D. Sontag , Tamir Tuller