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Three-dimensional protein structures usually contain regions of local order, called secondary structure, such as $\alpha$-helices and $\beta$-sheets. Secondary structure is characterized by the local rotational state of the protein…

Biomolecules · Quantitative Biology 2016-08-10 Ranjan V. Mannige , Joyjit Kundu , Stephen Whitelam

The mechanisms by which a protein's 3D structure can be determined based on its amino acid sequence have long been one of the key mysteries of biophysics. Often simplistic models, such as those derived from geometric constraints, capture…

Biological Physics · Physics 2023-01-02 Nora Molkenthin , J. J. Güven , Steffen Mühle , Antonia S. J. S. Mey

Rotary Position Embedding (RoPE) is the de facto positional encoding in large language models due to its ability to encode relative positions and support length extrapolation. When adapted to vision transformers, the standard axial…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Haoyu Liu , Sucheng Ren , Tingyu Zhu , Peng Wang , Cihang Xie , Alan Yuille , Zeyu Zheng , Feng Wang

By folding into particular 3D structures, proteins play a key role in living beings. To learn meaningful representation from a protein structure for downstream tasks, not only the global backbone topology but the local fine-grained…

Biomolecules · Quantitative Biology 2025-02-05 Jiahan Li , Shitong Luo , Congyue Deng , Chaoran Cheng , Jiaqi Guan , Leonidas Guibas , Jian Peng , Jianzhu Ma

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

Protein-Protein Interactions (PPIs) perform essential roles in biological functions. Although some experimental techniques have been developed to detect PPIs, they suffer from high false positive and high false negative rates. Consequently,…

Quantitative Methods · Quantitative Biology 2017-12-29 Samaneh Aghajanbaglo , Sobhan Moosavi , Maseud Rahgozar , Amir Rahimi

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Proteins are large biomolecules that regulate all living organisms and consist of one or several chains. The primary structure of a protein chain is a sequence of amino acid residues whose three main atoms (alpha-carbon, nitrogen, and…

Computational Geometry · Computer Science 2025-12-30 Olga Anosova , Alexey Gorelov , William Jeffcott , Ziqiu Jiang , Vitaliy Kurlin

Determining the structure of a protein has been a decades-long open question. A protein's three-dimensional structure often poses nontrivial computation costs, when classical simulation algorithms are utilized. Advances in the transformer…

Machine Learning · Computer Science 2023-10-09 Chen Dun , Qiutai Pan , Shikai Jin , Ria Stevens , Mitchell D. Miller , George N. Phillips, , Anastasios Kyrillidis

Learning effective protein representations is critical in a variety of tasks in biology such as predicting protein function or structure. Existing approaches usually pretrain protein language models on a large number of unlabeled amino acid…

Machine Learning · Computer Science 2023-01-31 Zuobai Zhang , Minghao Xu , Arian Jamasb , Vijil Chenthamarakshan , Aurelie Lozano , Payel Das , Jian Tang

Protein structural classification (PSC) is a supervised problem of assigning proteins into pre-defined structural (e.g., CATH or SCOPe) classes based on the proteins' sequence or 3D structural features. We recently proposed PSC approaches…

Molecular Networks · Quantitative Biology 2021-05-18 Khalique Newaz , Jacob Piland , Patricia L. Clark , Scott J. Emrich , Jun Li , Tijana Milenkovic

We report a 3D structure-based method of predicting protein-protein interaction partners. It involves screening for pairs of tetrahedra representing interacting amino acids at the interface of the protein-protein complex, with one…

Biomolecules · Quantitative Biology 2015-05-06 Vicente M. Reyes

Protein structures represent the key to deciphering biological functions. The more detailed form of similarity among these proteins is sometimes overlooked by the conventional structural comparison methods. In contrast, further advanced…

Machine Learning · Computer Science 2026-01-21 Poorya Khajouie , Titli Sarkar , Krishna Rauniyar , Li Chen , Wu Xu , Vijay Raghavan

Recent advances in generative modeling show that pretrained representations can improve generation as conditioning features or alignment targets. Motivated by this, we study protein representations for predicting structures beyond…

Biomolecules · Quantitative Biology 2026-05-27 Taewon Kim , Hyosoon Jang , Hyunjin Seo , Seonghwan Seo , Hyeongwoo Kim , Wonho Zhung , Mingyeong Shin , Wooyoun Kim , Sungsoo Ahn

The main chain dihedral angles play an important role to decide the protein conformation. The native states of a protein can be regard as an ensemble of a lot of similar conformations, in different conformations the main chain dihedral…

Biomolecules · Quantitative Biology 2016-07-14 Shiyang Long , Pu Tian

In this study, we tackle the challenging task of predicting secondary structures from protein primary sequences, a pivotal initial stride towards predicting tertiary structures, while yielding crucial insights into protein activity,…

Machine Learning · Computer Science 2025-11-18 Disha Varshney , Samarth Garg , Sarthak Tyagi , Deeksha Varshney , Nayan Deep , Asif Ekbal

A protein is traditionally visualised as a piecewise linear discrete curve, and its geometry is conventionally characterised by the extrinsically determined Ramachandran angles. However, a protein backbone has also two independent intrinsic…

Biomolecules · Quantitative Biology 2017-06-07 Yanzhen Hou , Jin Dai , Nevena Ilieva , Antti J. Niemi , Xubiao Peng , Jianfeng He

Proteins perform a large variety of functions in living organisms, thus playing a key role in biology. As of now, available learning algorithms to process protein data do not consider several particularities of such data and/or do not scale…

Proteins are miniature machines whose function depends on their three-dimensional (3D) structure. Determining this structure computationally remains an unsolved grand challenge. A major bottleneck involves selecting the most accurate…

Quantitative Methods · Quantitative Biology 2020-11-30 Stephan Eismann , Patricia Suriana , Bowen Jing , Raphael J. L. Townshend , Ron O. Dror

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…