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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

Protein folding is a phenomenon that has been studied for about 50 years and still remains as an unsolved problem. The main feature of this process is that it occurs as an all or none process, so a protein, can jump directly between folded…

Biomolecules · Quantitative Biology 2020-09-07 German Mino-Galaz

We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

We consider two- and three-dimensional lattice models of proteins which were characterized previously. We coarse grain their folding dynamics by reducing it to transitions between effective states. We consider two methods of selection of…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Trinh Xuan Hoang

We discuss recent theoretical developments in the study of simple lattice models of proteins. Such models are designed to understand general features of protein structures and mechanism of folding. Among the topics covered are (i) the use…

Soft Condensed Matter · Physics 2007-05-23 D. Thirumalai , D. K. Klimov

The Levinthal paradox exposes many critical questions on the protein folding problem, among which we could point out why proteins can reach their native state in a biologically reasonable time. A proper answer to this question is of…

Biomolecules · Quantitative Biology 2022-08-09 Jorge A. Vila

Gate-based universal quantum computers form a rapidly evolving field of quantum computing hardware technology. In previous work, we presented a quantum algorithm for lattice protein folding on a cubic lattice, tailored for quantum…

Quantum Physics · Physics 2018-11-01 Mark Fingerhuth , Tomáš Babej , Christopher Ing

We carry out a theoretical study of the vibrational and relaxation properties of naturally-occurring proteins with the purpose of characterizing both the folding and equilibrium thermodynamics. By means of a suitable model we provide a full…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Gianluca Lattanzi , Amos Maritan

We explain the physical basis of a model for small globular proteins with water interactions. The water is supposed to access the protein interior in an "all-or-none" manner during the unfolding of the protein chain. As a consequence of…

Condensed Matter · Physics 2009-10-31 Audun Bakk , Alex Hansen , Kim Sneppen

Folding kinetics of a lattice model of protein is studied. It uses the Random Energy Model for the intrachain couplings and a temperature dependent free energy of solvation derived from a realistic hydration model of apolar solutes. The…

Statistical Mechanics · Physics 2008-11-06 Olivier Collet

The time sequences of the molecular dynamics simulation for the folding process of a protein is analyzed with the inherent structure landscape which focuses on configurational dynamics of the system. Time dependent energy and entropy for…

Statistical Mechanics · Physics 2013-02-13 Naoko Nakagawa

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

Proteins fold using a two-state or multi-state kinetic mechanisms, but up to now there isn't a first-principle model to explain this different behaviour. We exploit the network properties of protein structures by introducing novel…

Molecular Networks · Quantitative Biology 2015-12-04 Giulia Menichetti , Piero Fariselli , Daniel Remondini

A microscopic theory of the free energy barriers and folding routes for minimally frustrated proteins is presented, greatly expanding on the presentation of the variational approach outlined previously [J. J. Portman, S. Takada, P. G.…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

Protein folding cooperativity is defined by the nature of the finite-size thermodynamic transition exhibited upon folding: two-state transitions show a free energy barrier between the folded and unfolded ensembles, while downhill folding is…

Biomolecules · Quantitative Biology 2017-08-23 Tristan Bereau , Michael Bachmann , Markus Deserno

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

Many protein systems fold in a two-state manner. Random models, however, rarely display two-state kinetics and thus such behavior should not be accepted as a default. To date, many theories for the prevalence of two-state kinetics have been…

Biological Physics · Physics 2015-06-15 Thomas J. Lane , Christian R. Schwantes , Kyle A. Beauchamp , Vijay S. Pande

The folding of a protein towards its native state is a rather complicated process. However there are empirical evidences that the folding time correlates with the contact order, a simple measure of the spatial organisation of the native…

Soft Condensed Matter · Physics 2017-12-06 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

A quantum model on the chemically and physically induced pluripotency in stem cells is proposed. Based on the conformational Hamiltonian and the idea of slow variables (molecular torsions) slaving fast ones the conversion from the…

Biomolecules · Quantitative Biology 2015-06-09 Liaofu Luo

As an example of topic where biology and physics meet, we present the issue of protein folding and stability, and the development of thermodynamics-based bioinformatics tools that predict the stability and thermal resistance of proteins and…

Biomolecules · Quantitative Biology 2016-03-15 Fabrizio Pucci , Marianne Rooman