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The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

Biological Physics · Physics 2015-05-28 Walter Simmons , Joel L. Weiner

Many researches have been working on the protein folding problem from more than half century. Protein folding is indeed one of the major unsolved problems in science. In this work, we discuss a model for the simulation of protein…

Optimization and Control · Mathematics 2008-11-20 A. Mucherino , O. Seref , P. M. Pardalos

The native structures of proteins, except for notable exceptions of intrinsically disordered proteins, in general take their most stable conformation in the physiological condition to maintain their structural framework so that their…

Biomolecules · Quantitative Biology 2021-10-26 Lyman Monroe , Daisuke Kihara

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

The grand challenge of protein engineering is the development of computational models that can characterize and generate protein sequences for any arbitrary function. However, progress today is limited by lack of 1) benchmarks with which to…

Accurately modeling and designing protein complex structures is a central problem in computational structural biology, with broad implications for understanding cellular function and developing therapeutics. This thesis investigates two…

Machine Learning · Computer Science 2026-05-13 Ziwei Xie

The design of protein sequences with desired functionalities is a fundamental task in protein engineering. Deep generative methods, such as autoregressive models and diffusion models, have greatly accelerated the discovery of novel protein…

Machine Learning · Computer Science 2025-04-16 Zitai Kong , Yiheng Zhu , Yinlong Xu , Hanjing Zhou , Mingzhe Yin , Jialu Wu , Hongxia Xu , Chang-Yu Hsieh , Tingjun Hou , Jian Wu

Structure-based protein design has attracted increasing interest, with numerous methods being introduced in recent years. However, a universally accepted method for evaluation has not been established, since the wet-lab validation can be…

Quantitative Methods · Quantitative Biology 2023-12-04 Chuanrui Wang , Bozitao Zhong , Zuobai Zhang , Narendra Chaudhary , Sanchit Misra , Jian Tang

Structural biology has long been dominated by the one sequence, one structure, one function paradigm, yet many critical biological processes - from enzyme catalysis to membrane transport - depend on proteins that adopt multiple…

While DeepMind has tentatively solved protein folding, its inverse problem -- protein design which predicts protein sequences from their 3D structures -- still faces significant challenges. Particularly, the lack of large-scale standardized…

Quantitative Methods · Quantitative Biology 2022-02-15 Zhangyang Gao , Cheng Tan , Stan Z. Li

Prediction of protein structures using computational approaches has been explored for over two decades, paving a way for more focused research and development of algorithms in comparative modelling, ab intio modelling and structure…

Quantitative Methods · Quantitative Biology 2020-05-19 Surbhi Dhingra , Ramanathan Sowdhamini , Frédéric Cadet , Bernard Offmann

We present a new method for design problems wherein the goal is to maximize or specify the value of one or more properties of interest. For example, in protein design, one may wish to find the protein sequence that maximizes fluorescence.…

Machine Learning · Computer Science 2021-05-13 David H. Brookes , Hahnbeom Park , Jennifer Listgarten

We propose a protein model based on a hierarchy of constraints that force the protein to follow certain pathways when changing conformation. The model exhibits a first order phase transition, cooperativity and is exactly solvable. It also…

Condensed Matter · Physics 2015-06-25 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

It is shown that a small subset of modes which are likely to be involved in protein functional motions of large amplitude can be determined by retaining the most robust normal modes obtained using different protein models. This result…

Biomolecules · Quantitative Biology 2007-05-23 Samuel Nicolay , Yves-Henri Sanejouand

Proteins are essential components of all living organisms and play a critical role in cellular survival. They have a broad range of applications, from clinical treatments to material engineering. This versatility has spurred the development…

Applications · Statistics 2025-03-28 Chenyu Ren , Daihai He , Jian Huang

Despite the variety of protein sizes, shapes, and backbone configurations found in nature, the design of novel protein folds remains an open problem. Within simple lattice models it has been shown that all structures are not equally…

Soft Condensed Matter · Physics 2016-08-31 J. Miller , C. Zeng , N. S. Wingreen , C. Tang

We investigate the folding behavior of protein sequences by numerically studying all sequences with maximally compact lattice model through exhaustive enumeration. We get the prion-like behavior of protein folding. Individual proteins…

Biomolecules · Quantitative Biology 2014-11-18 Yong-Yun Ji , You-Quan Li , Jun-Wen Mao , Xiao-Wei Tang

Proteins evolve through complex sequence spaces, with fitness landscapes serving as a conceptual framework that links sequence to function. Fitness landscapes can be smooth, where multiple similarly accessible evolutionary paths are…

Populations and Evolution · Quantitative Biology 2024-11-21 Mahakaran Sandhu , John Chen , Dana Matthews , Matthew A Spence , Sacha B Pulsford , Barnabas Gall , James Nichols , Nobuhiko Tokuriki , Colin J Jackson

Protein structure prediction and folding are fundamental to understanding biology, with recent deep learning advances reshaping the field. Diffusion-based generative models have revolutionized protein design, enabling the creation of novel…

Machine Learning · Computer Science 2025-10-01 Yogesh Verma , Markus Heinonen , Vikas Garg

Protein language models (PLMs) have shown promise in improving the understanding of protein sequences, contributing to advances in areas such as function prediction and protein engineering. However, training these models from scratch…

Machine Learning · Computer Science 2024-12-19 Shivasankaran Vanaja Pandi , Bharath Ramsundar