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We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

Living systems rely on coordinated molecular interactions, especially those related to gene expression and protein activity. The Unfolded Protein Response is a crucial mechanism in eukaryotic cells, activated when unfolded proteins exceed a…

Thermal unfolding of proteins is compared to folding and mechanical stretching in a simple topology-based dynamical model. We define the unfolding time and demonstrate its low-temperature divergence. Below a characteristic temperature,…

Biomolecules · Quantitative Biology 2009-11-13 Marek Cieplak , Joanna I. Sulkowska

Biophysical force spectroscopy tools - for example optical tweezers, magnetic tweezers, atomic force microscopy, - have been used to study elastic, mechanical, conformational and dynamic properties of single biological specimens from single…

Biomolecules · Quantitative Biology 2016-06-09 Zhaokun Zhou , Mark C. Leake

Protein structure generative models excel at predicting single protein static structures from sequence, but routinely fail to capture the correct conformational state of protein complexes, critical for protein design and induced proximity…

Machine Learning · Computer Science 2026-05-27 Alon Shtrikman , Nitzan Simchi , Michal Ran Shchory , Sagie Brodsky , Eran Seger , Kirill Pevzner

Protein folding is one of the age-old biological problems that refers to the mechanism of understanding and predicting how a protein's linear sequence of amino acids folds into its specific three dimensional structure.This structure is…

The prediction of protein stability changes following single-point mutations plays a pivotal role in computational biology, particularly in areas like drug discovery, enzyme reengineering, and genetic disease analysis. Although…

Quantitative Methods · Quantitative Biology 2025-05-01 Ivan Rossi , Guido Barducci , Tiziana Sanavia , Paola Turina , Emidio Capriotti , Piero Fariselli

Growing experimental evidence shows that proteins follow one or a few distinct paths when folding. We propose in this paper a procedure to parametrize these observed pathways, and from this parametrization construct effective Hamiltonians…

Condensed Matter · Physics 2007-05-23 Paul G. Dommersnes , Alex Hansen , Mogens H. Jensen , Kim Sneppen

Neither of the two prevalent theories, namely thermodynamic stability and kinetic stability, provides a comprehensive understanding of protein folding. The thermodynamic theory is misleading because it assumes that free energy is the…

Biological Physics · Physics 2013-07-22 Ji Xu , Mengzhi Han , Ying Ren , Jinghai Li

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

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

A central goal of protein-folding theory is to predict the stochastic dynamics of transition paths --- the rare trajectories that transit between the folded and unfolded ensembles --- using only thermodynamic information, such as a…

Biomolecules · Quantitative Biology 2018-08-09 William M. Jacobs , Eugene I. Shakhnovich

Protein sequences serve as a natural record of the evolutionary constraints that shape their functional structures. We show that it is possible to use only sequence information to go beyond predicting native structures and global stability…

Biomolecules · Quantitative Biology 2025-07-02 Ezequiel A. Galpern , Ernesto A. Roman , Diego U. Ferreiro

An Ising--like model of proteins is used to investigate the mechanical unfolding of the Green Fluorescent Protein along different directions. When the protein is pulled from its ends, we recover the major and minor unfolding pathways…

Soft Condensed Matter · Physics 2011-08-16 M. Caraglio , A. Imparato , A. Pelizzola

A protein's function depends critically on its conformational ensemble, a collection of energy weighted structures whose balance depends on temperature and environment. Though recent deep learning (DL) methods have substantially advanced…

Biomolecules · Quantitative Biology 2026-01-09 Myeongsang Lee , Lauren L. Porter

De novo prediction of protein folding is an open scientific challenge. Many folding models and force fields have been developed, yet all face difficulties converging to native conformations. Hydrophobicity scales (HSs) play a crucial role…

Biomolecules · Quantitative Biology 2017-12-05 Boris Haimov , Simcha Srebnik

The recent breakthrough of AlphaFold3 in modeling complex biomolecular interactions, including those between proteins and ligands, nucleotides, or metal ions, creates new opportunities for protein design. In so-called inverse protein…

Biomolecules · Quantitative Biology 2025-07-22 Kai Yi , Kiarash Jamali , Sjors H. W. Scheres

Single-molecule mechanical manipulation has enabled the quantitative understanding of the kinetics of bond ruptures as well as protein unfolding mechanism. Single-molecule experiments with theoretical models have allowed one to gain insight…

Biological Physics · Physics 2010-05-10 Gwonchan Yoon , Sungsoo Na , Kilho Eom

We present InvMSAFold, an inverse folding method for generating protein sequences that is optimized for diversity and speed. For a given structure, InvMSAFold generates the parameters of a probability distribution over the space of…

Quantitative Methods · Quantitative Biology 2025-05-30 Luca Alessandro Silva , Barthelemy Meynard-Piganeau , Carlo Lucibello , Christoph Feinauer

Using a structure-based coarse-grained model of proteins, we study the mechanism of unfolding of knotted proteins through heating. We find that the dominant mechanisms of unfolding depend on the temperature applied and are generally…

Biomolecules · Quantitative Biology 2017-01-23 Yani Zhao , Mateusz Chwastyk , Marek Cieplak
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