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Although deep learning approaches have had tremendous success in image, video and audio processing, computer vision, and speech recognition, their applications to three-dimensional (3D) biomolecular structural data sets have been hindered…

Quantitative Methods · Quantitative Biology 2017-11-01 Zixuan Cang , Guo-Wei Wei

Proteins are the most important biomolecules for living organisms. The understanding of protein structure, function, dynamics and transport is one of most challenging tasks in biological science. In the present work, persistent homology is,…

Biomolecules · Quantitative Biology 2014-12-10 Kelin Xia , Guo-Wei Wei

Artificial intelligence-assisted drug design is revolutionizing the pharmaceutical industry. Effective molecular features are crucial for accurate machine learning predictions, and advanced mathematics plays a key role in designing these…

Biomolecules · Quantitative Biology 2024-08-27 Hongsong Feng , Li Shen , Jian Liu , Guo-Wei Wei

Persistent homology is a powerful tool for characterizing the topology of a data set at various geometric scales. When applied to the description of molecular structures, persistent homology can capture the multiscale geometric features and…

Quantitative Methods · Quantitative Biology 2018-07-31 Zixuan Cang , Guo-Wei Wei

Protein-ligand binding is the process by which a small molecule (drug or inhibitor) attaches to a target protein. Binding affinity, which characterizes the strength of biomolecular interactions, is essential for tackling diverse challenges…

Protein-ligand binding complexes are ubiquitous and essential to life. Protein-ligand binding affinity prediction (PLA) quantifies the binding strength between ligands and proteins, providing crucial insights for discovering and designing…

Computational Engineering, Finance, and Science · Computer Science 2025-04-24 Krinos Li , Xianglu Xiao , Zijun Zhong , Guang Yang

Protein-ligand binding is essential to almost all life processes. The understanding of protein-ligand interactions is fundamentally important to rational drug design and protein design. Based on large scale data sets, we show that protein…

Biomolecules · Quantitative Biology 2017-04-21 Duc Duy Nguyen , Tian Xiao , Menglun Wang , Guo-Wei Wei

The binding between proteins and ligands plays a crucial role in the realm of drug discovery. Previous deep learning approaches have shown promising results over traditional computationally intensive methods, but resulting in poor…

Biomolecules · Quantitative Biology 2023-11-29 Shikun Feng , Minghao Li , Yinjun Jia , Weiying Ma , Yanyan Lan

Persistent Homology (PH) is a fundamental tool in computational topology, designed to uncover the intrinsic geometric and topological features of data across multiple scales. Originating within the broader framework of Topological Data…

Algebraic Topology · Mathematics 2025-05-13 Aurelie Jodelle Kemme , Collins Amburo Agyingi

Understanding how protein mutations affect protein-nucleic acid binding is critical for unraveling disease mechanisms and advancing therapies. Current experimental approaches are laborious, and computational methods remain limited in…

Quantitative Methods · Quantitative Biology 2025-05-30 Xiang Liu , Junjie Wee , Guo-Wei Wei

Accurate prediction of protein-ligand binding affinity remains a central challenge in structure-based drug discovery. The effectiveness of machine learning models critically depends on the quality of molecular descriptors, for which…

Biomolecules · Quantitative Biology 2026-03-24 Jian Liu , Hongsong Feng

The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

Biological Physics · Physics 2015-05-28 Walter Simmons , Joel L. Weiner

Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems. Methods from topological data analysis, e.g., persistent homology, enable us to obtain such information,…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Christoph Hofer , Roland Kwitt , Marc Niethammer , Andreas Uhl

This work introduces a number of algebraic topology approaches, such as multicomponent persistent homology, multi-level persistent homology and electrostatic persistence for the representation, characterization, and description of small…

Quantitative Methods · Quantitative Biology 2018-02-07 Zixuan Cang , Lin Mu , Guowei Wei

Protein function and dynamics are closely related to its sequence and structure. However prediction of protein function and dynamics from its sequence and structure is still a fundamental challenge in molecular biology. Protein…

Biomolecules · Quantitative Biology 2015-10-06 Zixuan Cang , Lin Mu , Kedi Wu , Kristopher Opron , Kelin Xia , Guo-Wei Wei

Accurate prediction of protein-ligand binding affinity is crucial for rapid and efficient drug development. Recently, the importance of predicting binding affinity has led to increased attention on research that models the three-dimensional…

Machine Learning · Computer Science 2024-07-17 Seungyeon Choi , Sangmin Seo , Sanghyun Park

Aqueous solubility and partition coefficient are important physical properties of small molecules. Accurate theoretical prediction of aqueous solubility and partition coefficient plays an important role in drug design and discovery. The…

Quantitative Methods · Quantitative Biology 2018-01-08 Kedi Wu , Zhixiong Zhao , Renxiao Wang , Guo-Wei Wei

Accurate prediction of protein-ligand binding affinity is critical for drug discovery. While recent deep learning approaches have demonstrated promising results, they often rely solely on structural features of proteins and ligands,…

Machine Learning · Computer Science 2026-01-23 Han Liu , Keyan Ding , Peilin Chen , Yinwei Wei , Liqiang Nie , Dapeng Wu , Shiqi Wang

In this study, we present a novel molecular fingerprint generation method based on multiparameter persistent homology. This approach reveals the latent structures and relationships within molecular geometry, and detects topological features…

Biomolecules · Quantitative Biology 2023-11-21 Andac Demir , Bulent Kiziltan

Predicting accurate protein-ligand binding affinity is important in drug discovery but remains a challenge even with computationally expensive biophysics-based energy scoring methods and state-of-the-art deep learning approaches. Despite…

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