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We present a model, based on symmetry and geometry, for proteins. Using elementary ideas from mathematics and physics, we derive the geometries of discrete helices and sheets. We postulate a compatible solvent-mediated emergent pairwise…

Soft Condensed Matter · Physics 2023-06-21 Jayanth R. Banavar , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Tatjana Škrbić

Protein representation learning plays a crucial role in understanding the structure and function of proteins, which are essential biomolecules involved in various biological processes. In recent years, deep learning has emerged as a…

Biomolecules · Quantitative Biology 2024-03-11 Bozhen Hu , Cheng Tan , Lirong Wu , Jiangbin Zheng , Jun Xia , Zhangyang Gao , Zicheng Liu , Fandi Wu , Guijun Zhang , Stan Z. Li

Spatial transcriptomics enables simultaneous measurement of gene expression and tissue morphology, offering unprecedented insights into cellular organization and disease mechanisms. However, the field lacks comprehensive benchmarks for…

Proteins play a central role in biology from immune recognition to brain activity. While major advances in machine learning have improved our ability to predict protein structure from sequence, determining protein function from structure…

Designing novel functional proteins crucially depends on accurately modeling their fitness landscape. Given the limited availability of functional annotations from wet-lab experiments, previous methods have primarily relied on…

Machine Learning · Computer Science 2024-12-03 Zuobai Zhang , Pascal Notin , Yining Huang , Aurélie Lozano , Vijil Chenthamarakshan , Debora Marks , Payel Das , Jian Tang

Deep Learning (DL) algorithms hold great promise for applications in the field of computational biophysics. In fact, the vast amount of available molecular structures, as well as their notable complexity, constitutes an ideal context in…

Soft Condensed Matter · Physics 2019-01-07 Marco Giulini , Raffaello Potestio

Determining the different conformational states of a protein and the transition paths between them is key to fully understanding the relationship between biomolecular structure and function. This can be accomplished by sampling protein…

Biological Physics · Physics 2021-03-24 Venkata K. Ramaswamy , Chris G. Willcocks , Matteo T. Degiacomi

We introduce a new, simplified model of proteins, which we call protein metastructure. The metastructure of a protein carries information about its secondary structure and $\beta$-strand conformations. Furthermore, protein metastructure…

Biomolecules · Quantitative Biology 2021-11-30 Jørgen Ellegaard Andersen , Hiroyuki Fuji , Yuki Koyanagi

As protein informatics advances rapidly, the demand for enhanced predictive accuracy, structural analysis, and functional understanding has intensified. Transformer models, as powerful deep learning architectures, have demonstrated…

Machine Learning · Computer Science 2025-05-28 Xiaowen Ling , Zhiqiang Li , Yanbin Wang , Zhuhong You

The protein folding problem has been fundamentally transformed by artificial intelligence, evolving from static structure prediction toward the modeling of dynamic conformational ensembles and complex biomolecular interactions. This review…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Jingzhi Chen , Lijian Xu

Inferring the structural properties of a protein from its amino acid sequence is a challenging yet important problem in biology. Structures are not known for the vast majority of protein sequences, but structure is critical for…

Machine Learning · Computer Science 2019-10-17 Tristan Bepler , Bonnie Berger

Directed evolution plays an indispensable role in protein engineering that revises existing protein sequences to attain new or enhanced functions. Accurately predicting the effects of protein variants necessitates an in-depth understanding…

Quantitative Methods · Quantitative Biology 2023-06-09 Yang Tan , Bingxin Zhou , Yuanhong Jiang , Yu Guang Wang , Liang Hong

Structural dynamics of macromolecules is critical to their structural-function relationship. Cryogenic electron microscopy (CryoEM) provides snapshots of vitrified protein at different compositional and conformational states, and the…

Quantitative Methods · Quantitative Biology 2026-01-27 Muyuan Chen , Muchen Li , Renjie Liao

Sparse Autoencoder (SAE) has emerged as a powerful tool for mechanistic interpretability of large language models. Recent works apply SAE to protein language models (PLMs), aiming to extract and analyze biologically meaningful features from…

Quantitative Methods · Quantitative Biology 2026-01-21 Xiangyu Liu , Haodi Lei , Yi Liu , Yang Liu , Wei Hu

One of the most powerful techniques to study protein structures is to look for recurrent fragments (also called substructures or spatial motifs), then use them as patterns to characterize the proteins under study. An emergent trend consists…

Computational Engineering, Finance, and Science · Computer Science 2018-03-02 Wajdi Dhifli , Rabie Saidi , Engelbert Mephu Nguifo

Deep learning has emerged as a powerful framework for analyzing biomolecular dynamics trajectories, enabling efficient representations that capture essential system dynamics and facilitate mechanistic studies. We propose a neural network…

Biomolecules · Quantitative Biology 2025-11-25 Guanghong Zuo

Protein structure tokenization converts 3D structures into discrete or vectorized representations, enabling the integration of structural and sequence data. Despite many recent works on structure tokenization, the properties of the…

Machine Learning · Computer Science 2025-11-14 Zijing Liu , Bin Feng , He Cao , Yu Li

This work examines the conformational ensemble involved in $\beta$-hairpin folding by means of advanced molecular dynamics simulations and dimensionality reduction. A fully atomistic description of the protein and the surrounding solvent…

Chemical Physics · Physics 2023-06-16 Albert Ardevol , Gareth A. Tribello , Michele Ceriotti , Michele Parrinello

Proteins, essential to biological systems, perform functions intricately linked to their three-dimensional structures. Understanding the relationship between protein structures and their amino acid sequences remains a core challenge in…

Quantitative Methods · Quantitative Biology 2024-11-04 Liang He , Peiran Jin , Yaosen Min , Shufang Xie , Lijun Wu , Tao Qin , Xiaozhuan Liang , Kaiyuan Gao , Yuliang Jiang , Tie-Yan Liu

Understanding protein dynamics is critical for elucidating their biological functions. The increasing availability of molecular dynamics (MD) data enables the training of deep generative models to efficiently explore the conformational…

Machine Learning · Computer Science 2025-12-04 Yuning Shen , Lihao Wang , Huizhuo Yuan , Yan Wang , Bangji Yang , Quanquan Gu
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