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The prediction of the three-dimensional structures of the native state of proteins from the sequences of their amino acids is one of the most important challenges in molecular biology. An essential ingredient to solve this problem within…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Flavio Seno , Jayanth Banavar , Amos Maritan

Energy evaluation using fast Fourier transforms enables sampling billions of putative complex structures and hence revolutionized rigid protein-protein docking. However, in current methods efficient acceleration is achieved only in either…

We apply a new approach to the reverse protein folding problem. Our method uses a minimization function in the design process which is different from the energy function used for folding. For a lattice model, we show that this new approach…

Condensed Matter · Physics 2009-10-28 J. M. Deutsch , Tanya Kurosky

A new general algorithm for optimization of potential functions for protein folding is introduced. It is based upon gradient optimization of the thermodynamic stability of native folds of a training set of proteins with known structure. The…

Condensed Matter · Physics 2009-11-10 Ole Winther , Anders Krogh

Motivation. Protein design aims to identify sequences compatible with a given protein fold but incompatible to any alternative folds. To select the correct sequences and to guide the search process, a design scoring function is critically…

Biomolecules · Quantitative Biology 2007-05-23 Changyu Hu , Xiang Li , Jie Liang

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

Motivation: Protein folding is a dynamic process during which a protein's amino acid sequence undergoes a series of 3-dimensional (3D) conformational changes en route to reaching a native 3D structure; the resulting 3D structural…

Biomolecules · Quantitative Biology 2026-04-09 Aydin Wells , Khalique Newaz , Jennifer Morones , Jianlin Cheng , Tijana Milenković

A protein is a linear chain containing a set of amino acids, which folds on itself to create a specific native structure, also called the minimum energy conformation. It is the native structure that determines the functionality of each…

Biomolecules · Quantitative Biology 2021-05-28 Nabil Boumedine , Sadek Bouroubi

Protein design is the inverse approach of the three-dimensional (3D) structure prediction for elucidating the relationship between the 3D structures and amino acid sequences. In general, the computation of the protein design involves a…

Biological Physics · Physics 2021-07-14 Tomoei Takahashi , George Chikenji , Kei Tokita

We propose a new way of looking at global optimization of off-lattice protein models. We present a dual optimization concept of predicting optimal sequences as well as optimal folds. We validate the utility of the recently introduced…

Computational Physics · Physics 2012-05-22 István Kolossváry , Kevin J. Bowers

Here we present an approximate analytical theory for the relationship between a protein structure's contact matrix and the shape of its energy spectrum in amino acid sequence space. We demonstrate a dependence of the number of sequences of…

Soft Condensed Matter · Physics 2009-11-07 Jeremy L. England , Eugene I. Shakhnovich

Protein function does not solely depend on structure but often relies on dynamical transitions between distinct conformations. Despite this fact, our ability to characterize or predict protein dynamics is substantially less developed…

Statistical Mechanics · Physics 2026-05-08 Michael A. Sauer , Souvik Mondal , Brandon Neff , Sthitadhi Maiti , Matthias Heyden

We propose a general method for predicting potentially good folders from a given number of amino acid sequences. Our approach is based on the calculation of the rate of convergence of each amino acid chain towards the native structure using…

Biological Physics · Physics 2013-02-07 Dmitry K. Gridnev , Pedro Ojeda-May , Martin E. Garcia

Deep learning has transformed protein design, enabling accurate structure prediction, sequence optimization, and de novo protein generation. Advances in single-chain protein structure prediction via AlphaFold2, RoseTTAFold, ESMFold, and…

Machine Learning · Computer Science 2025-02-27 Gregory W. Kyro , Tianyin Qiu , Victor S. Batista

We use a free energy functional theory to elucidate general properties of heterogeneously ordering, fast folding proteins, and we test our conclusions with lattice simulations. We find that both structural and energetic heterogeneity can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Steven S. Plotkin , Jose N. Onuchic

The evolutionary trajectory of a protein through sequence space is constrained by function and three-dimensional (3D) structure. Residues in spatial proximity tend to co-evolve, yet attempts to invert the evolutionary record to identify…

Biomolecules · Quantitative Biology 2015-03-13 Debora S. Marks , Lucy J. Colwell , Robert Sheridan , Thomas A. Hopf , Andrea Pagnani , Riccardo Zecchina , Chris Sander

Protein folding is the intricate process by which a linear sequence of amino acids self-assembles into a unique three-dimensional structure. Protein folding kinetics is the study of pathways and time-dependent mechanisms a protein undergoes…

Machine Learning · Computer Science 2023-09-19 Vijay Arvind. R , Haribharathi Sivakumar , Brindha. R

This paper presents a method of reconstruction a primary structure of a protein that folds into a given geometrical shape. This method predicts the primary structure of a protein and restores its linear sequence of amino acids in the…

Quantitative Methods · Quantitative Biology 2017-01-04 Andrii Riazanov , Mikhail Karasikov , Sergei Grudinin

This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

Protein structure prediction is a challenging and unsolved problem in computer science. Proteins are the sequence of amino acids connected together by single peptide bond. The combinations of the twenty primary amino acids are the…

Computational Engineering, Finance, and Science · Computer Science 2015-10-12 Mahmood A. Rashid , Firas Khatib , Abdul Sattar