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Using three-dimensional Go lattice models with side chains for proteins, we investigate the dependence of folding times on protein length. In agreement with previous theoretical predictions, we find that the folding time grows as a power…

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

Most single-molecule studies derive the kinetic rates of native, intermediate, and unfolded states from equilibrium hopping experiments. Here, we apply Kramers kinetic diffusive model to derive the force-dependent kinetic rates of…

Soft Condensed Matter · Physics 2022-04-13 Marc Rico-Pasto , Anna Alemany , Felix Ritort

Molecular dynamics studies of Go models of proteins with the 10-12 contact potential and the bond and dihedral angle terms indicate statistical similarities to other Go models, e.g. with the Lennard-Jones contact potentials. The folding…

Statistical Mechanics · Physics 2015-06-24 Marek Cieplak , Trinh Xuan Hoang

Natural protein sequences somehow encode the structural forms that these molecules adopt. Recent developments in structure-prediction are agnostic to the mechanisms by which proteins fold and represent them as static objects. However, the…

Biomolecules · Quantitative Biology 2025-05-26 Ezequiel A. Galpern , Federico Caamaño , Diego U. Ferreiro

Proteins are the "work horses" in biological systems. In almost all functions specific proteins are involved. They control molecular transport processes, stabilize the cell structure, enzymatically catalyze chemical reactions; others act as…

Statistical Mechanics · Physics 2009-02-18 Michael Bachmann , Wolfhard Janke

Physical mechanisms underlying the empirical correlation between relative contact order (CO) and folding rate among naturally-occurring small single-domain proteins are investigated by evaluating postulated interaction schemes for a set of…

Statistical Mechanics · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan

The theory of biochemical processes needs simple but realistic models of phenomena underlying microscopic dynamics of proteins. Many experiments performed in the 1980s have demonstrated that within the protein native state, apart from usual…

Condensed Matter · Physics 2007-05-23 Michal Kurzynski

Protein folding is analyzed using a replica variational formalism to investigate some free energy landscape characteristics relevant for dynamics. A random contact interaction model that satisfies the minimum frustration principle is used…

Disordered Systems and Neural Networks · Physics 2009-10-30 Shoji Takada , Peter G. Wolynes

The results of minimal model calculations suggest that the stability and the kinetic accessibility of the native state of small globular proteins are controlled by few "hot" sites. By mean of molecular dynamics simulations around the native…

Soft Condensed Matter · Physics 2007-05-23 G. Tiana , F. Simona , G. M. S. De Mori , R. A. Broglia , G. Colombo

A model to describe the mechanism of conformational dynamics in protein based on matter interactions using lagrangian approach and imposing certain symmetry breaking is proposed. Both conformation changes of proteins and the injected…

Biological Physics · Physics 2015-03-13 M. Januar , A. Sulaiman , L. T. Handoko

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

Characterization of protein energy landscape and conformational ensembles is important for understanding mechanisms of protein folding and function. We studied ensembles of bound and unbound conformations of six proteins to explore their…

Biological Physics · Physics 2012-11-06 Anatoly M. Ruvinsky , Tatsiana Kirys , Alexander V. Tuzikov , Ilya A. Vakser

We investigate proteins within heterogeneous cell membranes where non-equilibrium phenomena arises from spatial variations in concentration and temperature. We develop simulation methods building on non-equilibrium statistical mechanics to…

Soft Condensed Matter · Physics 2025-08-28 D. Jasuja , P. J. Atzberger

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

We have studied the mobility of the folding catalyst, protein disulphide-isomerase (PDI), by molecular dynamics and by a rapid approach based on flexibility. We analysed our simulations using measures of backbone movement, relative…

Motor proteins are active enzymatic molecules that drive a variety of biological processes, including transfer of genetic information, cellular transport, cell motility and muscles contraction. It is known that these biological molecular…

Soft Condensed Matter · Physics 2018-01-17 Luiza V. F. Gomes , Anatoly B. Kolomeisky

Understanding protein folding has been one of the great challenges in biochemistry and molecular biophysics. Over the past 50 years, many thermodynamic and kinetic studies have been performed addressing the stability of globular proteins.…

Biomolecules · Quantitative Biology 2014-04-01 Ernesto A. Roman , F. Luis Gonzalez Flecha

A coarse-grained off-lattice model that is not biased in any way to the native state is proposed to fold proteins. To predict the native structure in a reasonable time, the model has included the essential effects of water in an effective…

Statistical Mechanics · Physics 2009-11-11 Nan-yow Chen , Zheng-Yao Su , Chung-Yu Mou

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

Protein folding, peptide aggregation and crystallization, as well as adsorption of molecules on soft or solid substrates have an essential feature in common: In all these processes, structure formation is guided by a collective, cooperative…

Statistical Mechanics · Physics 2009-02-12 Michael Bachmann , Wolfhard Janke