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When described by a low-dimensional reaction coordinate, the rates of protein folding are determined by a subtle interplay between free-energy barriers and friction. While it is commonplace to extract free-energy profiles from molecular…

Soft Condensed Matter · Physics 2022-10-24 Benjamin A. Dalton , Cihan Ayaz , Lucas Tepper , Roland R. Netz

Numerous studies have investigated the differences and similarities between protein structures determined by solution NMR spectroscopy and those determined by x-ray crystallography. A fundamental question is whether any observed differences…

Biomolecules · Quantitative Biology 2022-10-10 Alex T. Grigas , Zhuoyi Liu , Lynne Regan , Corey S. O'Hern

The protein backbone is described as a smooth curved and twisted line in three-dimensional (3D) space and characterized by its curvature $\kappa(s)$ and torsion $\tau(s)$ both expressed as a function of arc length s. It is shown that the…

Biomolecules · Quantitative Biology 2008-11-24 Sushilee Ranganathan , Dmitry Izotov , Elfi Kraka , Dieter Cremer

In this Communication we present statistical analysis of conservation profiles in families of homologous sequences for nine proteins whose folding nucleus was determined by protein engineering methods. We show that in all but one protein…

Biological Physics · Physics 2007-05-23 Leonid Mirny , Eugene Shakhnovich

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 coil to globule transition of the polypeptide chain is the physical phenomenon behind the folding of globular proteins. Globular proteins with a single domain usually consist of about 30 to 100 amino acid residues, and this finite size…

Biomolecules · Quantitative Biology 2020-10-27 Artem Badasyan , Matjaz Valant , Joze Grdadolnik , Vladimir N. Uversky

Predicting the three-dimensional (3D) structure of a protein from its primary sequence of amino acids is known as the protein folding (PF) problem. Due to the central role of proteins' 3D structures in chemistry, biology and medicine…

Quantum Physics · Physics 2021-03-18 Anton Robert , Panagiotis Kl. Barkoutsos , Stefan Woerner , Ivano Tavernelli

Apart from being the gateway for all access to the eukaryotic genome, chromatin has in recent years been identified as carrying an epigenetic code regulating transcriptional activity. The detailed knowledge of this code contrasts the…

Other Quantitative Biology · Quantitative Biology 2007-12-07 Martin Depken , Helmut Schiessel

Most amino acids are encoded by multiple synonymous codons. For an amino acid, some of its synonymous codons are used much more rarely than others. Analyses of positions of such rare codons in protein sequences revealed that rare codons can…

Molecular Networks · Quantitative Biology 2019-07-09 Khalique Newaz , Gabriel Wright , Jacob Piland , Jun Li , Patricia Clark , Scott Emrich , Tijana Milenkovic

A fast and accurate grid-based method with low memory requirement is presented to calculate volume characteristics in molecular systems. The distribution of volume and packing density is characterized in globular proteins, where void space…

Biological Physics · Physics 2018-10-23 Jenny Farmer , Sheridan B. Green , Donald J. Jacobs

Biological systems exhibit marked molecular asymmetry, with proteins based predominantly on L-amino acids and nucleic acids and carbohydrates largely composed of D-sugars. Explanations for homochirality include asymmetric photochemistry,…

Other Quantitative Biology · Quantitative Biology 2026-05-26 Arturo Tozzi

We study a large data set of protein structure ensembles of very diverse sizes determined by nuclear magnetic resonance. By examining the distance-dependent correlations in the displacement of residues pairs and conducting finite size…

Biological Physics · Physics 2017-03-01 Qian-Yuan Tang , Yang-Yang Zhang , Jun Wang , Wei Wang , Dante R. Chialvo

Proteins are the fundamental macromolecules that play diverse and crucial roles in all living matter and have tremendous implications in healthcare, manufacturing, and biotechnology. Their functions are largely determined by the sequences…

Biomolecules · Quantitative Biology 2024-09-17 Boqiao Lai

We analyzed folding routes predicted by a variational model in terms of a generalized formalism of the capillarity scaling theory for 28 two-state proteins. The scaling exponent ranged from 0.2 to 0.45 with an average of 0.33. This average…

Biomolecules · Quantitative Biology 2007-12-14 Xianghon Qi , John J. Portman

We model protein folding as a physical stochastic process as follows. The unfolded protein chain is treated as a random coil described by SAW (self-avoiding walk). Folding is induced by hydrophobic forces and other interactions, such as…

Soft Condensed Matter · Physics 2007-07-18 Kerson Huang

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

By observing trends in the folding kinetics of experimental 2-state proteins at their transition midpoints, and by observing trends in the barrier heights of numerous simulations of coarse grained, C-alpha model, Go proteins, we show that…

Quantitative Methods · Quantitative Biology 2009-11-10 B. Öztop , M. R. Ejtehadi , S. S. Plotkin

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…

With the help of lattice Monte Carlo modelling of heteropolymers, we show that the necessary condition for a protein to fold on short call is to proceed through partially folded intermediates. These elementary structures are formed at an…

Condensed Matter · Physics 2007-05-23 R. A. Broglia , G. Tiana

Cellular functions are established through biological evolution, but are constrained by the laws of physics. For instance, the physics of protein folding limits the lengths of cellular polypeptide chains. Consequently, many cellular…

Biological Physics · Physics 2019-07-09 Pablo Sartori , Stanislas Leibler