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Natively unfolded proteins lack a well defined three dimensional structure but have important biological functions, suggesting a re-assignment of the structure-function paradigm. Many proteins have amino acidic compositions compatible both…

Biomolecules · Quantitative Biology 2016-09-08 Antonio Deiana , Andrea Giansanti

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

Comments: 6 pages RevTeX, 6 Postscript figures. We review a statistical mechanics treatment of the stability of globular proteins based on a simple model Hamiltonian taking into account protein self interactions and protein-water…

Condensed Matter · Physics 2009-10-31 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

We investigate the sequence-dependent properties of proteins that determine the dual requirements of stability of the native state and its kinetic accessibility using simple cubic lattice models. Three interaction schemes are used to…

Soft Condensed Matter · Physics 2009-10-31 D. K. Klimov , D. Thirumalai

Unfolded protein aggregation in cellular system is a problem causing various types of diseases depending on which type unfolded proteins aggregate. This phenomenon of aggregation may take place during production, storage, shipment or…

Subcellular Processes · Quantitative Biology 2021-11-09 Utkarsh Upadhyay , Chandrima Barua , Shivani Devi , Jay Prakash Kumar , R. K. Brojen Singh

We study the dynamics of protein folding via statistical energy-landscape theory. In particular, we concentrate on the local-connectivity case with the folding progress described by the fraction of native conformations. We obtain…

Soft Condensed Matter · Physics 2007-05-23 Chi-Lun Lee , Chien-Ting Lin , George Stell , Jin Wang

We solve a model that takes into account entropic barriers, frustration, and the organization of a protein-like molecule. For a chain of size $M$, there is an effective folding transition to an ordered structure. Without frustration, this…

Condensed Matter · Physics 2009-10-28 Carlos J. Camacho

Protein conformational transitions, which are essential for function, may be driven either by entropy or enthalpy when molecular systems comprising solute and solvent molecules are the focus. Revealing thermodynamic origin of a given…

Biomolecules · Quantitative Biology 2015-05-04 Kai Wang , Shiyang Long , Zhiming Zhang , Lanru Liu , Qimeng Wang , Pu Tian

We introduce a model of proteins in which all of the key atoms in the protein backbone are accounted for, thus extending the Freely Rotating Chain model. We use average bond lengths and average angles from the Protein Databank as input…

Soft Condensed Matter · Physics 2009-09-29 Hamed Seyed-allaei

The dynamics of folding of proteins is studied by means of a phenomenological master equation. The energy distribution is taken as a truncated exponential for the misfolded states plus a native state sitting below the continuum. The…

Soft Condensed Matter · Physics 2007-05-23 Estelle Pitard , Henri Orland

We present an analysis of the effects of global topology on the structural stability of folded proteins in thermal equilibrium with a heat bath. For a large class of single domain proteins, we computed the harmonic spectrum within the…

Biomolecules · Quantitative Biology 2007-05-23 R. Burioni , D. Cassi , F. Cecconi , A. Vulpiani

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

The prediction of the biologically active native conformation of a protein is one of the fundamental challenges of structural biology. This problem remains yet unsolved mainly due to three factors: the partial knowledge of the effective…

Biomolecules · Quantitative Biology 2007-05-23 Jose Luis Alonso , Gregory A. Chass , Imre G. Csizmadia , Pablo Echenique , Alfonso Tarancon

A four states phase diagram for protein folding as a function of temperature and solvent quality is derived from an improved 2-d lattice model taking into account the temperature dependence of the hydrophobic effect. The phase diagram…

Statistical Mechanics · Physics 2009-11-11 Olivier Collet

Single-molecule experiments provide new insights into biological processes hitherto not accessible by measurements performed on bulk systems. We report on a study of the kinetics of a triple-branch DNA molecule with four conformational…

Biological Physics · Physics 2011-06-13 Sandra Engel , Anna Alemany , Nuria Forns , Philipp Maass , Felix Ritort

In this work we develop a theory of interaction of randomly patterned surfaces as a generic prototype model of protein-protein interactions. The theory predicts that pairs of randomly superimposed identical (homodimeric) random patterns…

Biomolecules · Quantitative Biology 2009-11-13 D. B. Lukatsky , K. B. Zeldovich , E. I. Shakhnovich

In this letter, the possible dynamic scaling properties of protein molecules in folding are investigated theoretically by assuming that the protein molecules are percolated networks. It is shown that the fractal character and the fractal…

Condensed Matter · Physics 2007-05-23 Liang-Jian Zou , X. G. Gong , Zheng-Gang Zhu

We simulate neutral evolution of proteins imposing conservation of the thermodynamic stability of the native state in the framework of an effective model of folding thermodynamics. This procedure generates evolutionary trajectories in…

Condensed Matter · Physics 2009-11-07 Ugo Bastolla , Markus Porto , H. Eduardo Roman , Michele Vendruscolo

Repeat proteins are made with tandem copies of similar amino acid stretches that fold into elongated architectures. Due to their symmetry, these proteins constitute excellent model systems to investigate how evolution relates to structure,…

Biomolecules · Quantitative Biology 2022-10-12 Ezequiel A. Galpern , Jacopo Marchi , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

The performance of single folding predictors and combination scores is critically evaluated. We test mean packing, mean pairwise energy and the new index gVSL2 on a dataset of 743 folded proteins and 81 natively unfolded proteins. These…

Biomolecules · Quantitative Biology 2010-12-30 Antonio Deiana , Andrea Giansanti
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