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Debye-Waller factor, a measure of X-ray attenuation, can be experimentally observed in protein X-ray crystallography. Previous theoretical models have made strong inroads in the analysis of B-factors by linearly fitting protein B-factors…

Biomolecules · Quantitative Biology 2018-10-17 David Bramer , Guo-Wei Wei

Protein dynamics play a crucial role in many biological processes and drug interactions. However, measuring, and simulating protein dynamics is challenging and time-consuming. While machine learning holds promise in deciphering the…

Machine Learning · Computer Science 2024-08-23 Sina Sarparast , Aldo Zaimi , Maximilian Ebert , Michael-Rock Goldsmith

The accurate prediction of protein-ligand binding affinity is important for drug discovery yet remains challenging for multi-domain proteins, where inter-domain dynamics and flexible linkers govern molecular recognition. Current geometric…

Quantitative Methods · Quantitative Biology 2026-01-27 Shuo Zhang , Jian K. Liu

Motivation: Despite its great success in various physical modeling, differential geometry (DG) has rarely been devised as a versatile tool for analyzing large, diverse and complex molecular and biomolecular datasets due to the limited…

Quantitative Methods · Quantitative Biology 2018-06-12 Duc Duy Nguyen , Guo-Wei Wei

Protein flexibility, measured by the B-factor or Debye-Waller factor, is essential for protein functions such as structural support, enzyme activity, cellular communication, and molecular transport. Theoretical analysis and prediction of…

Biomolecules · Quantitative Biology 2025-04-01 Nicole Hayes , Xiaoqi Wei , Hongsong Feng , Ekaterina Merkurjev , Guo-Wei Wei

Flexibility is an intrinsic essential feature of protein structures, directly linked to their functions. To this day, most of the prediction methods use the crystallographic data (namely B-factors) as the only indicator of protein's inner…

Existing elastic network models are typically parametrized at a given cutoff distance and often fail to properly predict the thermal fluctuation of many macromolecules that involve multiple characteristic length scales. We introduce a…

Biomolecules · Quantitative Biology 2015-05-21 Kristopher Opron , Kelin Xia , Guo-Wei Wei

Understanding the flexibility of protein-nucleic acid complexes, often characterized by atomic B-factors, is essential for elucidating their structure, dynamics, and functions, such as reactivity and allosteric pathways. Traditional models…

Biomolecules · Quantitative Biology 2025-10-24 Nicole Hayes , Ekaterina Merkurjev , Guo-Wei Wei

In the course of evolution, proteins show a remarkable conservation of their three-dimensional structure and their biological function, leading to strong evolutionary constraints on the sequence variability between homologous proteins. Our…

Quantitative Methods · Quantitative Biology 2014-04-07 Carlo Baldassi , Marco Zamparo , Christoph Feinauer , Andrea Procaccini , Riccardo Zecchina , Martin Weigt , Andrea Pagnani

Accurate prediction of protein-ligand binding affinities is an essential challenge in structure-based drug design. Despite recent advances in data-driven methods for affinity prediction, their accuracy is still limited, partially because…

Biomolecules · Quantitative Biology 2024-09-04 Yaosen Min , Ye Wei , Peizhuo Wang , Xiaoting Wang , Han Li , Nian Wu , Stefan Bauer , Shuxin Zheng , Yu Shi , Yingheng Wang , Ji Wu , Dan Zhao , Jianyang Zeng

In structure-based drug design, accurately estimating the binding affinity between a candidate ligand and its protein receptor is a central challenge. Recent advances in artificial intelligence, particularly deep learning, have demonstrated…

Biomolecules · Quantitative Biology 2025-09-18 Md Masud Rana , Farjana Tasnim Mukta , Duc D. Nguyen

Protein engineering is experiencing a paradigmatic shift through the integration of geometric deep learning into computational design workflows. While traditional strategies, such as rational design and directed evolution, have enabled…

Structure-based drug design (SBDD) leverages the three-dimensional geometry of proteins to identify potential drug candidates. Traditional approaches, rooted in physicochemical modeling and domain expertise, are often resource-intensive.…

Quantitative Methods · Quantitative Biology 2024-11-19 Zaixi Zhang , Jiaxian Yan , Yining Huang , Qi Liu , Enhong Chen , Mengdi Wang , Marinka Zitnik

Prediction of protein-ligand complexes for flexible proteins remains still a challenging problem in computational structural biology and drug design. Here we present two novel deep neural network approaches with significant improvement in…

Biomolecules · Quantitative Biology 2020-08-28 Amr H. Mahmoud , Jonas F. Lill , Markus A. Lill

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

The Gene or DNA sequence in every cell does not control genetic properties on its own; Rather, this is done through translation of DNA into protein and subsequent formation of a certain 3D structure. The biological function of a protein is…

Computational Engineering, Finance, and Science · Computer Science 2019-05-30 Leila Khalatbari , Mohammad Reza Kangavari , Saeid Hosseini , Hongzhi Yin , Ngai-Man Cheung

Flexibility-rigidity index (FRI) has been developed as a robust, accurate and efficient method for macromolecular thermal fluctuation analysis and B-factor prediction. The performance of FRI depends on its formulations of rigidity index and…

Biomolecules · Quantitative Biology 2016-09-15 Duc Duy Nguyen , Kelin Xia , Guo-Wei Wei

Proteins are commonly used by biochemical industry for numerous processes. Refining these proteins' properties via mutations causes stability effects as well. Accurate computational method to predict how mutations affect protein stability…

Machine Learning · Statistics 2018-03-26 Emmi Jokinen , Markus Heinonen , Harri Lähdesmäki

Geometric Graph Neural Networks (GNNs) and Transformers have become state-of-the-art for learning from 3D protein structures. However, their reliance on message passing prevents them from capturing the hierarchical interactions that govern…

Machine Learning · Computer Science 2025-12-09 Chang Liu , Vivian Li , Linus Leong , Vladimir Radenkovic , Pietro Liò , Chaitanya K. Joshi

Geometric deep learning has recently achieved great success in non-Euclidean domains, and learning on 3D structures of large biomolecules is emerging as a distinct research area. However, its efficacy is largely constrained due to the…

Machine Learning · Computer Science 2023-10-31 Fang Wu , Lirong Wu , Dragomir Radev , Jinbo Xu , Stan Z. Li
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