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Major efforts in recent years have been directed towards understanding molecular transport in polymeric membranes, in particular reverse osmosis and nanofiltration membranes. Transition-state theory is an increasingly common approach to…

Soft Condensed Matter · Physics 2024-06-11 Nathanael S. Schwindt , Mor Avidar , Razi Epsztein , Anthony P. Straub , Michael R. Shirts

Natively unfolded proteins exist as an ensemble of flexible conformations lacking a well defined tertiary structure along a large portion of their polypeptide chain. Despite the absence of a stable configuration, they are involved in…

Genomics · Quantitative Biology 2008-07-14 Antonio Deiana , Andrea Giansanti

The assumption that similar structures have similar folding probabilities ($p_{fold}$) leads naturally to a procedure to evaluate $p_{fold}$ for every snapshot saved along an equilibrium folding-unfolding trajectory of a structured peptide…

Biomolecules · Quantitative Biology 2009-11-11 Francesco Rao , Giovanni Settanni , Enrico Guarnera , Amedeo Caflisch

The dependence of the unfolding pathway of proteins on the pulling speed is investigated. This is done by introducing a simple one-dimensional chain comprising $N$ units, with different characteristic bistable free energies. These units…

Statistical Mechanics · Physics 2016-10-19 C. A. Plata , F. Cecconi , M. Chinappi , A. Prados

We apply a simulational proxy of the phi-value analysis and perform extensive mutagenesis experiments to identify the nucleating residues in the folding reactions of two small lattice Go polymers with different native geometries. These…

Biomolecules · Quantitative Biology 2008-09-06 P. F. N. Faisca , R. D. M. Travasso , R. C. Ball , E. I. Shakhnovich

In structure-based models of proteins, one often assumes that folding is accomplished when all contacts are established. This assumption may frequently lead to a conceptual problem that folding takes place in a temperature region of very…

Biomolecules · Quantitative Biology 2016-05-23 Karol Wołek , Marek Cieplak

We propose a principle of superposition to describe protein-folding nuclei and explain an evolutional conservation of a field pattern specifying native-state structure.

Biological Physics · Physics 2009-08-07 S. Nakamura , O. Narikiyo

Simple two-state folding kinetics of many small single-domain proteins are characterized by chevron plots with linear folding and unfolding arms consistent with a two-state description of equilibrium thermodynamics. This phenomenon is…

Soft Condensed Matter · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan

A geometric analysis of the global properties of the energy landscape of a minimalistic model of a polypeptide is presented, which is based on the relation between dynamical trajectories and geodesics of a suitable manifold, whose metric is…

Statistical Mechanics · Physics 2009-11-13 Lorenzo N. Mazzoni , Lapo Casetti

We develop a theory of aggregation using statistical mechanical methods. An example of a complicated aggregation system with several levels of structures is peptide/protein self-assembly. The problem of protein aggregation is important for…

Biomolecules · Quantitative Biology 2023-07-19 John S. Schreck , Jian-Min Yuan

We present a numerical Monte Carlo analysis of a continuos spin Ising chain that can describe the statistical proterties of folded proteins. We find that depending on the value of the Metropolis temperature, the model displays the three…

Statistical Mechanics · Physics 2011-02-01 M. N. Chernodub , Martin Lundgren , Antti J. Niemi

This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

We study a mechanism for reliable switching in biomolecular signal-transduction cascades. Steady bistable states are created by system-size cooperative effects in populations of proteins, in spite of the fact that the phosphorylation-state…

Subcellular Processes · Quantitative Biology 2015-05-30 Eric Smith , Supriya Krishnamurthy , Walter Fontana , David Krakauer

In spite of decades of research, much remains to be discovered about folding: the detailed structure of the initial (unfolded) state, vestigial folding instructions remaining only in the unfolded state, the interaction of the molecule with…

Biological Physics · Physics 2018-11-26 Walter A. Simmons

The time evolution of many physical, chemical, and biological systems can be modelled by stochastic transitions between the minima of the potential energy surface describing the system of interest. We show that in cases where there are two…

Statistical Mechanics · Physics 2024-09-11 S. P. Fitzgerald , A. Bailey Hass , G. Díaz Leines , A. J. Archer

The fundamental assumption of conventional transition state theory is the existence of a dividing surface having the property that trajectories originating in reactants must cross the surface only once and then proceed to products. Recently…

Chaotic Dynamics · Physics 2007-05-23 H. Waalkens , S. Wiggins

We explore the consequences of very high dimensionality in the dynamical landscape of protein folding. Consideration of both typical range of stabilising interactions, and folding rates themselves, leads to a model of the energy…

Biological Physics · Physics 2007-05-23 T. C. B. McLeish

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

Biological molecular machines are proteins that operate under isothermal conditions hence are referred to as free energy transducers. They can be formally considered as enzymes that simultaneously catalyze two chemical reactions: the free…

Biological Physics · Physics 2014-02-05 Michal Kurzynski , Mieczyslaw Torchala , Przemyslaw Chelminiak

In the diffusion-collision model, the unfolding or backward rates are given by the likelihood of secondary structural cluster dissociation. In this work, we introduce a backward rate calculation modeled from a Kramers-type thermal tunneling…

Soft Condensed Matter · Physics 2007-05-23 Chris Beck , Xavier Siemens