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Proteins typically exist in complexes, interacting with other proteins or biomolecules to perform their specific biological roles. Research on single-chain protein modeling has been extensively and deeply explored, with advancements seen in…

Machine Learning · Computer Science 2025-09-09 Ruizhe Chen , Dongyu Xue , Xiangxin Zhou , Zaixiang Zheng , Xiangxiang Zeng , Quanquan Gu

Using an off-lattice model, we fully enumerate folded conformations of polypeptide chains of up to N = 19 monomers. Structures are found to differ markedly in designability, defined as the number of sequences with that structure as a unique…

Soft Condensed Matter · Physics 2007-05-23 Eldon G. Emberly , Jonathan Miller , Chen Zeng , Ned S. Wingreen , Chao Tang

Bolted joints are critical in engineering for maintaining structural integrity and reliability. Accurate prediction of parameters influencing their function and behavior is essential for optimal performance. Traditional methods often fail…

Machine Learning · Computer Science 2025-08-28 Ines Boujnah , Nehal Afifi , Andreas Wettstein , Sven Matthiesen

Generative machine learning models are increasingly being used to design novel proteins for therapeutic and biotechnological applications. However, the current methods mostly focus on the design of proteins with a fixed backbone structure,…

Biomolecules · Quantitative Biology 2025-03-04 Petr Kouba , Joan Planas-Iglesias , Jiri Damborsky , Jiri Sedlar , Stanislav Mazurenko , Josef Sivic

This chapter discusses theoretical framework and methods for developing knowledge-based potential functions essential for protein structure prediction, protein-protein interaction, and protein sequence design. We discuss in some details…

Biomolecules · Quantitative Biology 2015-06-26 Xiang Li , Jie Liang

The evolutionary trajectory of a protein through sequence space is constrained by function and three-dimensional (3D) structure. Residues in spatial proximity tend to co-evolve, yet attempts to invert the evolutionary record to identify…

Biomolecules · Quantitative Biology 2015-03-13 Debora S. Marks , Lucy J. Colwell , Robert Sheridan , Thomas A. Hopf , Andrea Pagnani , Riccardo Zecchina , Chris Sander

Deep learning has made significant progress in protein structure prediction, advancing the development of computational biology. However, despite the high accuracy achieved in predicting single-chain structures, a significant number of…

Biomolecules · Quantitative Biology 2024-03-08 Zhaoqun Li , Jingcheng Yu , Qiwei Ye

The prediction of the three-dimensional structures of the native state of proteins from the sequences of their amino acids is one of the most important challenges in molecular biology. An essential ingredient to solve this problem within…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Flavio Seno , Jayanth Banavar , Amos Maritan

Engineering new molecules with desirable functions and properties has the potential to extend our ability to engineer proteins beyond what nature has so far evolved. Advances in the so-called "de novo" design problem have recently been…

Machine Learning · Computer Science 2023-10-17 Adam Winnifrith , Carlos Outeiral , Brian Hie

A new general algorithm for optimization of potential functions for protein folding is introduced. It is based upon gradient optimization of the thermodynamic stability of native folds of a training set of proteins with known structure. The…

Condensed Matter · Physics 2009-11-10 Ole Winther , Anders Krogh

Given native 2D contact map, protein 3D structure could be reconstructed with accuracy of 2A or better, and such reconstruction is a feasible computational approach for protein folding problem. The prediction accuracy from traditional…

Biomolecules · Quantitative Biology 2019-06-12 Yuhong Wang , Wei Li , Hongmao Sun , Kennie Cruz-Gutierrez

Protein fitness optimization involves finding a protein sequence that maximizes desired quantitative properties in a combinatorially large design space of possible sequences. Recent advances in steering protein generative models (e.g.,…

Biomolecules · Quantitative Biology 2025-10-22 Jason Yang , Wenda Chu , Daniel Khalil , Raul Astudillo , Bruce J. Wittmann , Frances H. Arnold , Yisong Yue

High-quality training datasets are crucial for the development of effective protein design models, but existing synthetic datasets often include unfavorable sequence-structure pairs, impairing generative model performance. We leverage…

Recent advances in geometric deep learning and generative modeling have enabled the design of novel proteins with a wide range of desired properties. However, current state-of-the-art approaches are typically restricted to generating…

Biomolecules · Quantitative Biology 2025-08-26 Vsevolod Viliuga , Leif Seute , Nicolas Wolf , Simon Wagner , Arne Elofsson , Jan Stühmer , Frauke Gräter

Protein structure prediction has been a grand challenge for over 50 years, owing to its broad scientific and application interests. There are two primary types of modeling algorithms, template-free modeling and template-based modeling. The…

Biological Physics · Physics 2021-06-01 Liangzhen Zheng , Haidong Lan , Tao Shen , Jiaxiang Wu , Sheng Wang , Wei Liu , Junzhou Huang

Designing protein-binding proteins with high affinity is critical in biomedical research and biotechnology. Despite recent advancements targeting specific proteins, the ability to create high-affinity binders for arbitrary protein targets…

Machine Learning · Computer Science 2025-11-03 Zhenqiao Song , Tiaoxiao Li , Lei Li , Martin Renqiang Min

In recent years, deep learning techniques have made significant strides in molecular generation for specific targets, driving advancements in drug discovery. However, existing molecular generation methods present significant limitations:…

Machine Learning · Computer Science 2025-03-12 Taojie Kuang , Qianli Ma , Athanasios V. Vasilakos , Yu Wang , Qiang , Cheng , Zhixiang Ren

Tokenization is a promising path to multi-modal models capable of jointly understanding protein sequences, structure, and function. Existing protein structure tokenizers create tokens by pooling information from local neighborhoods, an…

Machine Learning · Computer Science 2026-02-09 Rohit Dilip , Ayush Varshney , David Van Valen

Deep learning has transformed protein design, enabling accurate structure prediction, sequence optimization, and de novo protein generation. Advances in single-chain protein structure prediction via AlphaFold2, RoseTTAFold, ESMFold, and…

Machine Learning · Computer Science 2025-02-27 Gregory W. Kyro , Tianyin Qiu , Victor S. Batista

The design of novel protein sequences with targeted functionalities underpins a central theme in protein engineering, impacting diverse fields such as drug discovery and enzymatic engineering. However, navigating this vast combinatorial…

Biomolecules · Quantitative Biology 2024-02-19 Yiheng Zhu , Zitai Kong , Jialu Wu , Weize Liu , Yuqiang Han , Mingze Yin , Hongxia Xu , Chang-Yu Hsieh , Tingjun Hou