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Structural relationships among proteins are important in the study of their evolution as well as in drug design and development. The protein 3D structure has been shown to be effective with respect to classifying proteins. Prior work has…

Biomolecules · Quantitative Biology 2016-02-26 James DeFelice , Vicente M. Reyes

We present a statistical approach to protein structure by introducing a representation of protein folds based on simple observables defined as frequencies of oriented cycles in contact graphs. Motivated by the idea that these cycles may…

Biomolecules · Quantitative Biology 2016-09-08 A. M. Lisewski , O. Lichtarge

In recent years, there has been a surge in the development of 3D structure-based pre-trained protein models, representing a significant advancement over pre-trained protein language models in various downstream tasks. However, most existing…

Machine Learning · Computer Science 2024-06-04 Jiale Zhao , Wanru Zhuang , Jia Song , Yaqi Li , Shuqi Lu

Proteins are biomolecules of life. They fold into a great variety of three-dimensional (3D) shapes. Underlying these folding patterns are many recurrent structural fragments or building blocks (analogous to `LEGO bricks'). This paper…

Quantitative Methods · Quantitative Biology 2013-10-08 Arun S. Konagurthu , Arthur M. Lesk , David Abramson , Peter J. Stuckey , Lloyd Allison

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Protein-ligand scoring is an important step in a structure-based drug design pipeline. Selecting a correct binding pose and predicting the binding affinity of a protein-ligand complex enables effective virtual screening. Machine learning…

Machine Learning · Statistics 2020-10-19 Joshua Hochuli , Alec Helbling , Tamar Skaist , Matthew Ragoza , David Ryan Koes

The Monte Carlo simulation of the dynamics of complex molecules produces trajectories with a large number of different configurations to sample configuration space. It is expected that these configurations can be classified into a small…

Computational Physics · Physics 2007-05-23 Christoph Best , Hans-Christian Hege

Rapidly growing data sizes of scientific simulations pose significant challenges for interactive visualization and analysis techniques. In this work, we propose a compact probabilistic representation to interactively visualize large…

Graphics · Computer Science 2020-10-16 Tobias Rapp , Christoph Peters , Carsten Dachsbacher

Spatially proximate amino acids in a protein tend to coevolve. A protein's three-dimensional (3D) structure hence leaves an echo of correlations in the evolutionary record. Reverse engineering 3D structures from such correlations is an open…

Quantitative Methods · Quantitative Biology 2013-01-15 Magnus Ekeberg , Cecilia Lövkvist , Yueheng Lan , Martin Weigt , Erik Aurell

Proteins are fundamental biological entities that play a key role in life activities. The amino acid sequences of proteins can be folded into stable 3D structures in the real physicochemical world, forming a special kind of…

Machine Learning · Computer Science 2023-01-04 Lirong Wu , Yufei Huang , Haitao Lin , Stan Z. Li

Proteins are central to biological systems, participating as building blocks across all forms of life. Despite advancements in understanding protein functions through protein sequence analysis, there remains potential for further…

Machine Learning · Computer Science 2025-08-29 Yunqing Liu , Wenqi Fan , Xiaoyong Wei , Qing Li

Context. Visualization of 2D distributions is an essential task, commonly done with a 2D histogram. The histogram is built by subdividing the sample space into regions and color-coding the number of samples in each region. Aims. We aim to…

Instrumentation and Methods for Astrophysics · Physics 2026-04-02 Igor Vaiman

Synthetic biologists and molecular programmers design novel nucleic acid reactions, with many potential applications. Good visualization tools are needed to help domain experts make sense of the complex outputs of folding pathway…

Biomolecules · Quantitative Biology 2023-11-08 Chenwei Zhang , Khanh Dao Duc , Anne Condon

Plots of quadratic residues display some features that are analyzed mathematically.

Number Theory · Mathematics 2007-05-23 I. Jimenez Calvo

Learning from 3D protein structures has gained wide interest in protein modeling and structural bioinformatics. Unfortunately, the number of available structures is orders of magnitude lower than the training data sizes commonly used in…

Biomolecules · Quantitative Biology 2022-06-01 Pedro Hermosilla , Timo Ropinski

In recent years, the use of expressive surface visualizations in the representation of vascular structures has gained significant attention. These visualizations provide a comprehensive understanding of complex anatomical structures and are…

Intricate comparison between two given tertiary structures of proteins is as important as the comparison of their functions. Several algorithms have been devised to compute the similarity and dissimilarity among protein structures. But,…

Computational Geometry · Computer Science 2013-09-26 Ranjeet Kumar Rout , Pabitra Pal Choudhury , B. S. Daya Sagar , Sk. Sarif Hassan

Protein interactions are important in a broad range of biological processes. Traditionally, computational methods have been developed to automatically predict protein interface from hand-crafted features. Recent approaches employ deep…

Machine Learning · Computer Science 2020-07-21 Yi Liu , Hao Yuan , Lei Cai , Shuiwang Ji

Visualization tools can help synthetic biologists and molecular programmers understand the complex reactive pathways of nucleic acid reactions, which can be designed for many potential applications and can be modelled using a…

Quantitative Methods · Quantitative Biology 2023-11-08 Chenwei Zhang , Jordan Lovrod , Boyan Beronov , Khanh Dao Duc , Anne Condon

Changes in the extent of local concavity along with changes in surface roughness of binding sites of proteins have long been considered as useful markers to identify functional sites of proteins. However, an algorithm that describes the…

Biomolecules · Quantitative Biology 2011-11-29 Anirban Banerji