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The similarity in the three-dimensional structures of homologous proteins imposes strong constraints on their sequence variability. It has long been suggested that the resulting correlations among amino acid compositions at different…

Protein structure determination has long been one of the primary challenges of structural biology, to which deep machine learning (ML)-based approaches have increasingly been applied. However, these ML models generally do not incorporate…

Biological Physics · Physics 2025-11-14 Tom Pan , Evan Dramko , Mitchell D. Miller , Anastasios Kyrillidis , George N. Phillips

Determining protein structures at an atomic level remains a significant challenge in structural biology. We introduce $\texttt{RecCrysFormer}$, a hybrid model that exploits the strengths of transformers with the aim of integrating…

Quantitative Methods · Quantitative Biology 2026-01-30 Tom Pan , Evan Dramko , Mitchell D. Miller , George N. Phillips , Anastasios Kyrillidis

The intricate three-dimensional geometries of protein tertiary structures underlie protein function and emerge through a folding process from one-dimensional chains of amino acids. The exact spatial sequence and configuration of amino…

Biomolecules · Quantitative Biology 2021-02-24 Nora Molkenthin , Steffen Mühle , Antonia S J S Mey , Marc Timme

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha--helices and beta--sheets). This model is based on the following two main ideas. First, we model backbone parts of amino…

Soft Condensed Matter · Physics 2012-08-01 S. Albeverio , S. V. Kozyrev

Human body consists of lot of cells, each cell consist of DeOxaRibo Nucleic Acid (DNA). Identifying the genes from the DNA sequences is a very difficult task. But identifying the coding regions is more complex task compared to the former.…

Computational Engineering, Finance, and Science · Computer Science 2014-01-22 Pokkuluri Kiran Sree , Inampudi Ramesh Babu , SSSN Usha Devi N

In sequence-based predictions, conventionally an input sequence is represented by a multiple sequence alignment (MSA) or a representation derived from MSA, such as a position-specific scoring matrix. Recently, inspired by the development in…

Quantitative Methods · Quantitative Biology 2021-10-18 Nabil Ibtehaz , Daisuke Kihara

Designing protein sequences that fold into a target 3-D structure, termed as the inverse folding problem, is central to protein engineering. However, it remains challenging due to the vast sequence space and the importance of local…

Quantitative Methods · Quantitative Biology 2026-03-17 Sazan Mahbub , Souvik Kundu , Eric P. Xing

The protein design problem involves finding polypeptide sequences folding into a given threedimensional structure. Its rigorous algorithmic solution is computationally demanding, involving a nested search in sequence and structure spaces.…

Quantum Physics · Physics 2024-07-11 Veronica Panizza , Philipp Hauke , Cristian Micheletti , Pietro Faccioli

A method based on mapping a symbolic sequence into a set of patterns (strings resulting from the sequence parsing) is proposed as a tool for the reconstruction of ancestral sequences. The set union of patterns comprises all the patterns…

Genomics · Quantitative Biology 2015-04-16 Bohdan Kozarzewski

Sparse principal component analysis (PCA) is a well-established dimensionality reduction technique that is often used for unsupervised feature selection (UFS). However, determining the regularization parameters is rather challenging, and…

Machine Learning · Computer Science 2025-04-07 Long Chen , Xianchao Xiu

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…

Deep learning-based prediction of protein-ligand complexes has advanced significantly with the development of architectures such as AlphaFold3, Boltz-1, Chai-1, Protenix, and NeuralPlexer. Multiple sequence alignment (MSA) has been a key…

Biomolecules · Quantitative Biology 2025-06-03 Enming Xing , Junjie Zhang , Shen Wang , Xiaolin Cheng

RFdiffusion is a popular and well-established model for generation of protein structures. However, this generative process offers limited insight into its internal representations and how they contribute to the final protein structure.…

Quantitative Methods · Quantitative Biology 2025-12-01 Wojciech Zarzecki , Paulina Szymczak , Ewa Szczurek , Kamil Deja

What are proteins made from, as the working parts of the living cells protein machines? To answer this question, we need a technology to disassemble proteins onto elementary func-tional details and to prepare lumped description of such…

Biomolecules · Quantitative Biology 2007-11-05 A. N. Gorban , M. Kudryashev , T. Popova

The beautiful structures of single and multi-domain proteins are clearly ordered in some fashion but cannot be readily classified using group theory methods that are successfully used to describe periodic crystals. For this reason, protein…

Soft Condensed Matter · Physics 2021-03-02 Debayan Chakraborty , Mauro Lorenzo Mugnai , D. Thirumalai

The computational prediction of a protein structure from its sequence generally relies on a method to assess the quality of protein models. Most assessment methods rank candidate models using heavily engineered structural features, defined…

Biomolecules · Quantitative Biology 2018-11-26 Georgy Derevyanko , Sergei Grudinin , Yoshua Bengio , Guillaume Lamoureux

Diverse classes of proteins function through large-scale conformational changes; sophisticated enhanced sampling methods have been proposed to generate these macromolecular transition paths. As such paths are curves in a high-dimensional…

Quantitative Methods · Quantitative Biology 2015-10-27 Sean L. Seyler , Avishek Kumar , Michael F. Thorpe , Oliver Beckstein

How proteins fold remains a central unsolved problem in biology. While the idea of a folding code embedded in the amino acid sequence was introduced more than 6 decades ago, this code remains undefined. While we now have powerful predictive…

Biomolecules · Quantitative Biology 2025-11-04 Carlos Bustamante , Christian Kaiser , Erik Lindahl , Robert Sosa , Giovanni Volpe

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…

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