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How proteins fold remains a central unsolved problem in biology. While the idea of a folding code embedded in the amino acid sequence was introduced more than 6 decades ago, this code remains undefined. While we now have powerful predictive…

Biomolecules · Quantitative Biology 2025-11-04 Carlos Bustamante , Christian Kaiser , Erik Lindahl , Robert Sosa , Giovanni Volpe

We perform a generalized-ensemble simulation of a small peptide taking the interactions among all atoms into account. From this simulation we obtain thermodynamic quantities over a wide range of temperatures. In particular, we show that the…

Chemical Physics · Physics 2009-10-31 Ulrich H. E. Hansmann , Masato Masuya , Yuko Okamoto

In the cell, proteins fold and perform complex functions through global structural rearrangements. Function requires a protein to be at the brink of stability to be susceptible to small environmental fluctuations, yet stable enough to…

The growing interest for comparing protein internal dynamics owes much to the realization that protein function can be accompanied or assisted by structural fluctuations and conformational changes. Analogously to the case of functional…

Biomolecules · Quantitative Biology 2012-12-19 C. Micheletti

Many of the concepts which are at the basis of the development associated with a quantitative treatment of the variety of phenomena associated with the spontaneous breaking of gauge symmetry in nuclei have been instrumental in connection…

Nuclear Theory · Physics 2017-08-23 R. A. Broglia

We study folding in 16-monomer heteropolymers on the square lattice. For a given sequence, thermodynamic properties and stability of the native state are unique. However, the kinetics of folding depends on the model of dynamics adopted for…

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

The nanomechanical response of a folded single protein, the natural nanomachine responsible for myriad biological processes, provides insight into its function. The conformational flexibility of a folded state, characterized by its…

Biological Physics · Physics 2022-10-13 Surya Pratap S Deopa , Shatruhan Singh Rajput , Aadarsh Kumar , Shivprasad Patil

The high computational cost of carrying out molecular dynamics simulations of even small-size proteins is a major obstacle in the study, at atomic detail and in explicit solvent, of the physical mechanism which is at the basis of the…

Biomolecules · Quantitative Biology 2009-05-19 C. Camilloni , G. Tiana , R. A. Broglia

The principles underlying protein folding remains one of Nature's puzzles with important practical consequences for Life. An approach that has gathered momentum since the late 1990's, looks at protein hetero-polymers and their folding…

Computational Engineering, Finance, and Science · Computer Science 2011-10-05 Susan Khor

Folding and aggregation of proteins, the interaction between proteins and membranes, as well as the adsorption of organic soft matter to inorganic solid substrates belong to the most interesting challenges in understanding structure and…

Soft Condensed Matter · Physics 2007-12-06 Michael Bachmann , Wolfhard Janke

The quantitative description of model protein folding kinetics using a diffusive collective reaction coordinate is examined. Direct folding kinetics, diffusional coefficients and free energy profiles are determined from Monte Carlo…

Condensed Matter · Physics 2016-08-31 N. D. Socci , J. N. Onuchic , P. G. Wolynes

$\alpha$-helices stand out as common and relatively invariant secondary structural elements of proteins. However, $\alpha$-helices are not rigid bodies and their deformations can be significant in protein function ({\it e.g.} coiled coils).…

Statistical Mechanics · Physics 2007-05-23 Eldon G. Emberly , Ranjan Mukhopadhyay , Ned S. Wingreen , Chao Tang

We study the geometric properties of the energy landscape of coarse-grained, off-lattice models of polymers by endowing the configuration space with a suitable metric, depending on the potential energy function, such that the dynamical…

Statistical Mechanics · Physics 2007-05-23 Lorenzo N. Mazzoni , Lapo Casetti

Simple theoretical concepts and models have been helpful to understand the folding rates and routes of single-domain proteins. As reviewed in this article, a physical principle that appears to underly these models is loop closure.

Biomolecules · Quantitative Biology 2007-09-24 Thomas R. Weikl

How do protein structure prediction models fold proteins? We investigate this question by tracing how ESMFold folds a beta hairpin, a prevalent structural motif. Through counterfactual interventions on model latents, we identify two…

Machine Learning · Computer Science 2026-02-10 Kevin Lu , Jannik Brinkmann , Stefan Huber , Aaron Mueller , Yonatan Belinkov , David Bau , Chris Wendler

Processes that proceed reliably from a variety of initial conditions to a unique final form, regardless of moderately changing conditions, are of obvious importance in biophysics. Protein folding is a case in point. We show that the action…

Biological Physics · Physics 2013-12-16 Walter Simmons , Joel L. Weiner

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

We have analyzed dynamics on the complex free energy landscape of protein folding in the FOLD-X model, by calculating for each state of the system the mean first passage time to the folded state. The resulting kinetic map of the folding…

Statistical Mechanics · Physics 2009-11-10 M. A. Micheelsen , C. Rischel , J. Ferkinghoff-Borg , R. Guerois , L. Serrano

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

Proteins work only if folded in their native state, but changes in temperature T and pressure P induce their unfolding. Therefore for each protein there is a stability region (SR) in the T-P thermodynamic plane outside which the biomolecule…

Soft Condensed Matter · Physics 2017-04-12 Valentino Bianco , Neus Pagès Gelabert , Ivan Coluzza , Giancarlo Franzese
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