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We propose a new backbone-torsion-energy term in the force field for protein systems. This torsion-energy term is represented by a double Fourier series in two variables, the backbone dihedral angles phi and psi. It gives a natural…

Statistical Mechanics · Physics 2009-11-11 Yoshitake Sakae , Yuko Okamoto

Recent computational advances in the accurate prediction of protein three-dimensional (3D) structures from amino acid sequences now present a unique opportunity to decipher the interrelationships between proteins. This task entails--but is…

Biomolecules · Quantitative Biology 2020-05-19 Menuka Jaiswal , Saad Saleem , Yonghyeon Kweon , Eli J Draizen , Stella Veretnik , Cameron Mura , Philip E. Bourne

Instead of conformation states of single residues, refined conformation states of quintuplets are proposed to reflect conformation correlation. Simple hidden Markov models combining with sliding window scores are used for predicting…

Biomolecules · Quantitative Biology 2007-05-23 Wei-Mou Zheng

Determining the three-dimensional structure of a protein from its amino-acid sequence remains a fundamental problem in biophysics. The discrete Frenet geometry of the C$_\alpha$ backbone can be mapped, via a Hasimoto-type transform, onto a…

Biomolecules · Quantitative Biology 2026-02-16 Yiquan Wang

The proposal of this paper is to provide a simple angular random walk model to build up polypeptide structures, which encompass properties of dihedral angles of folded proteins. From this model, structures will be built with lengths ranging…

Biological Physics · Physics 2009-11-13 P. H. Figueiredo , M. A. Moret , E. Nogueira , S. Coutinho

Statistical coupling analysis (SCA) is a method for analyzing multiple sequence alignments that was used to identify groups of coevolving residues termed "sectors". The method applies spectral analysis to a matrix obtained by combining…

Biomolecules · Quantitative Biology 2015-06-19 Tiberiu Tesileanu , Lucy J. Colwell , Stanislas Leibler

Motivation: Proteins are known to undergo conformational changes in the course of their functions. The changes in conformation are often attributable to a small fraction of residues within the protein. Therefore identification of these…

Biomolecules · Quantitative Biology 2011-10-31 Naoto Morikawa

The remarkable success of AlphaFold2 in providing accurate atomic-level prediction of protein structures from their amino acid sequence has transformed approaches to the protein folding problem. However, its core paradigm of mapping one…

Applications · Statistics 2025-12-12 Yongkai Chen , Samuel WK Wong , SC Kou

We present analysis of a novel tool for protein secondary structure prediction using the recently-investigated Neural Machine Translation framework. The tool provides a fast and accurate folding prediction based on primary structure with…

Quantitative Methods · Quantitative Biology 2021-05-11 Evan Weissburg , Ian Bulovic

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

Inverse Protein Folding (IPF) is a critical subtask in the field of protein design, aiming to engineer amino acid sequences capable of folding correctly into a specified three-dimensional (3D) conformation. Although substantial progress has…

Computation and Language · Computer Science 2025-05-20 Yanting Li , Jiyue Jiang , Zikang Wang , Ziqian Lin , Dongchen He , Yuheng Shan , Yanruisheng Shao , Jiayi Li , Xiangyu Shi , Jiuming Wang , Yanyu Chen , Yimin Fan , Han Li , Yu Li

By providing new insights into the distribution of a protein's torsion angles, recent statistical models for this data have pointed the way to more efficient methods for protein structure prediction. Most current approaches have…

Applications · Statistics 2010-11-10 Kristin P. Lennox , David B. Dahl , Marina Vannucci , Ryan Day , Jerry W. Tsai

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…

Recent developments in deep learning-based methods demonstrated its potential to predict the 3D protein structures using inputs such as protein sequences, Cryo-Electron microscopy (Cryo-EM) images of proteins, etc. However, these methods…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Jaydeep Rade , Soumik Sarkar , Anwesha Sarkar , Adarsh Krishnamurthy

Protein secondary structure is crucial to creating an information bridge between the primary and tertiary (3D) structures. Precise prediction of eight-state protein secondary structure (PSS) has significantly utilized in the structural and…

Machine Learning · Computer Science 2020-09-23 Md Aminur Rab Ratul , Maryam Tavakol Elahi , M. Hamed Mozaffari , WonSook Lee

Proteins are the basic building blocks of life. They usually perform functions by folding to a particular structure. Understanding the folding process could help the researchers to understand the functions of proteins and could also help to…

Computational Engineering, Finance, and Science · Computer Science 2015-10-21 Jianzhu Ma

Folded proteins have a modular assembly. They are constructed from regular secondary structures like alpha-helices and beta-strands that are joined together by loops. Here we develop a visualization technique that is adapted to describe…

Biological Physics · Physics 2015-06-11 Martin Lundgren , Antti J. Niemi , Fan Sha

Though the problem of sequence-reversed protein folding is largely unexplored, one might speculate that reversed native protein sequences should be significantly more foldable than purely random heteropolymer sequences. In this article, we…

Biomolecules · Quantitative Biology 2016-06-20 Yuanzhao Zhang , Jeffrey K Weber , Ruhong Zhou

Deep learning has become a crucial tool in studying proteins. While the significance of modeling protein structure has been discussed extensively in the literature, amino acid types are typically included in the input as a default operation…

Quantitative Methods · Quantitative Biology 2024-07-01 Yang Tan , Lirong Zheng , Bozitao Zhong , Liang Hong , Bingxin Zhou

The method of Probability Density Profile Analysis has been introduced previously as a tool to find the best match between a set of experimentally generated Residual Dipolar Couplings and a set of known protein structures. While it proved…

Biomolecules · Quantitative Biology 2019-11-07 Ryan Yandle , Rishi Mukhopadhyay , Homayoun Valafar
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