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We develop a theoretical approach to the protein folding problem based on out-of-equilibrium stochastic dynamics. Within this framework, the computational difficulties related to the existence of large time scale gaps in the protein folding…

Quantitative Methods · Quantitative Biology 2009-11-13 M. Sega , P. Faccioli , F. Pederiva , G. Garberoglio , H. Orland

In this work we propose a physical model of organismal evolution, where phenotype, organism life expectancy, is directly related to genotype i.e. the stability of its proteins which can be determined exactly in the model. Simulating the…

Populations and Evolution · Quantitative Biology 2007-05-23 Konstantin B. Zeldovich , Boris E. Shakhnovich , Eugene I. Shakhnovich

In order to understand the nuclei which develop during the course of protein folding and unfolding, we examine phase segregation of a single heteropolymer chain which occurs in equilibrium. These segregated conformations are characterized…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rose Du , Alexander Yu. Grosberg , Toyoichi Tanaka

We present a unified scaling theory for the dynamics of monomers for dilute solutions of semiflexible polymers under good solvent conditions in the free draining limit. Our theory encompasses the well-known regimes of mean square…

Soft Condensed Matter · Physics 2015-06-17 Aiqun Huang , Ramesh Adhikari , Aniket Bhattacharya , Kurt Binder

When dense granular systems are exposed to external forcing, they evolve on the time scale that is typically related to the externally imposed one (shear or compression rate, for example). This evolution could be characterized by observing…

Soft Condensed Matter · Physics 2017-08-02 Lou Kondic , Miroslav Kramar , Lenka Kovalcinova , Konstantin Mischaikow

Natural protein sequences contain a record of their history. A common constraint in a given protein family is the ability to fold to specific structures, and it has been shown possible to infer the main native ensemble by analyzing…

Biomolecules · Quantitative Biology 2017-03-16 Rocío Espada , R. Gonzalo Parra , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

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

The force laws governing the extension behavior of homopolypeptides are obtained from a phenomenological free energy capable of describing the helix-coil transition. Just above the melting temperature of the free chains, T*, the plot of…

Soft Condensed Matter · Physics 2009-11-07 Arnaud Buhot , Avraham Halperin

We point out that the correlation between folding times and $\sigma = (T_{\theta } - T_{f})/T_{\theta }$ in protein-like heteropolymer models where $T_{\theta }$ and $T_{f}$ are the collapse and folding transition temperatures was already…

Condensed Matter · Physics 2009-10-28 D. K. Klimov , D. Thirumalai

Exploring and understanding the protein-folding problem has been a long-standing challenge in molecular biology. Here, using molecular dynamics simulation, we reveal how parallel distributed adjacent planar peptide groups of unfolded…

Biomolecules · Quantitative Biology 2019-01-11 Xiaoliang Ma , Chengyu Hou , Liping Shi , Long Li , Jiacheng Li , Lin Ye , Lin Yang , Xiaodong He

We consider the statistical mechanics of a full set of two-dimensional protein-like heteropolymers, whose thermodynamics is characterized by the coil-to-globular ($T_\theta$) and the folding ($T_f$) transition temperatures. For our model,…

chem-ph · Physics 2009-10-28 Carlos J. Camacho , D. Thirumalai

The folding vs. adsorption behaviour of a coarse-grained off-lattice protein model near an attractive surface is presented within the frame of a Multicanonical Monte Carlo simulations. In the polymer-surface model, the Lennard-Jones…

Soft Condensed Matter · Physics 2015-12-23 Handan Arkin , Hakan Alaboz

Proteins have evolved through mutations, amino acid substitutions, since life appeared on Earth, some 109 years ago. The study of these phenomena has been of particular significance because of their impact on protein stability, function,…

Biomolecules · Quantitative Biology 2023-10-25 Jorge A. Vila

In a similar way in which the folding of single--domain proteins provide an important test in the study of self--organization, the folding of homodimers constitute a basic challenge in the quest for the mechanisms which are at the basis of…

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

We study a homopolymer model of a protein chain, where each monomer carries a dipole moment. To mimic the geometry of the peptidic bond, these dipoles are constrained to be locally perpendicular to the chain. The tensorial character of the…

Soft Condensed Matter · Physics 2009-10-30 E. Pitard , T. Garel , H. Orland

Cotranslational folding depends on the folding speed and stability of the nascent protein. It remains difficult, however, to predict which proteins cotranslationally fold. Here, we simulate evolution of model proteins to investigate how…

Biomolecules · Quantitative Biology 2020-10-28 Victor Zhao , William M. Jacobs , Eugene I. Shakhnovich

In the course of evolution, proteins undergo important changes in their amino acid sequences, while their three-dimensional folded structure and their biological function remain remarkably conserved. Thanks to modern sequencing techniques,…

Biomolecules · Quantitative Biology 2019-10-07 Simona Cocco , Christoph Feinauer , Matteo Figliuzzi , Remi Monasson , Martin Weigt

We theoretically investigate the kinetics of the folding transition of a single semiflexible polymer. In the folding transition, the growth rate decrease with an increase in the number of monomers in a collapsed domain, suggesting that the…

Soft Condensed Matter · Physics 2009-11-13 Natsuhiko Yoshinaga

We consider two versions of a simple evolutionary algorithm model for protein folding at temperature zero: the (1+1)-EA on the LeadingOnes problem. In this schematic model, the structure of the protein, which is encoded as a bit-string of…

Probability · Mathematics 2008-06-23 Veronique Ladret

A reduced model, which can fold both helix and sheet structures, is proposed to study the problem of protein folding. The goal of this model is to find an unbiased effective potential that has included the effects of water and at the same…

Soft Condensed Matter · Physics 2007-05-23 Nan-yow Chen