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The folding pathway and rate coefficients of the folding of a knotted protein are calculated for a potential energy function with minimal energetic frustration. A kinetic transition network is constructed using the discrete path sampling…

Biomolecules · Quantitative Biology 2010-07-05 Michael C. Prentiss , David J. Wales , Peter G. Wolynes

Normal mode analysis is a widely used technique for reconstructing conformational changes of proteins from the knowledge of native structures. In this Letter, we investigate to what extent normal modes capture the salient features of the…

Statistical Mechanics · Physics 2015-05-13 Francesco Piazza , Paolo De Los Rios , Fabio Cecconi

The dynamics of folding of proteins is studied by means of a phenomenological master equation. The energy distribution is taken as a truncated exponential for the misfolded states plus a native state sitting below the continuum. The…

Soft Condensed Matter · Physics 2007-05-23 Estelle Pitard , Henri Orland

The statistical fluctuations of the ground-state energy and of the binding energy of nuclei are investigated using both perturbation theory and supersymmetry. The fluctuations are induced by the experimentally observed stochastic behavior…

Nuclear Theory · Physics 2009-11-10 A. Molinari , H. A. Weidenmueller

Water plays a fundamental role in the structure and function of proteins and other biomolecules. The thermodynamic profile of water molecules surrounding a protein are critical for ligand binding and recognition. Therefore, identifying the…

Biomolecules · Quantitative Biology 2024-11-26 Florian B. Hinz , Matthew R. Masters , Julia N. Kieu , Amr H. Mahmoud , Markus A. Lill

We construct an energy function that describes the crystallographic structure of spermwhale myoglobin backbone. As a model in our construction, we use the Protein Data Bank entry 1ABS that has been measured at liquid helium temperature.…

Biological Physics · Physics 2015-06-11 Andrey Krokhotin , Antti J. Niemi , Xubiao Peng

The folding kinetics of a number of sequences for off-lattice continuum model of proteins is studied using Langevin simulations at two values of the friction coefficient. We show that there is a remarkable correlation between folding times,…

Statistical Mechanics · Physics 2008-02-03 T. Veitshans , D. K. Klimov , D. Thirumalai

A coupling of structural and thermodynamic fluctuations in the course of various-type insertion processes is investigated within a combination of Gibbsian statistics and the information theory approach. It is shown that the coupling makes…

Statistical Mechanics · Physics 2007-05-23 E. V. Vakarin , J. P. Badiali

Protein dynamics underlie many biological functions, yet remain difficult to characterize due to the high computational cost of molecular dynamics simulations and the scarcity of dynamic structural data. This survey reviews recent advances…

Biomolecules · Quantitative Biology 2026-04-29 Haocheng Tang , Liang Shi , Ya-Shi Zhang , Xixian Liu , Jian Tang , Jiarui Lu

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

The formation of protein patterns inside cells is generically described by reaction-diffusion models. The study of such systems goes back to Turing, who showed how patterns can emerge from a homogenous steady state when two reactive…

Biological Physics · Physics 2020-02-26 Manon C. Wigbers , Fridtjof Brauns , Tobias Hermann , Erwin Frey

Using analytical calculations and computer simulations we consider both the lateral diffusion of a membrane protein and the fluctuation spectrum of the membrane in which the protein is embedded. The membrane protein interacts with the…

Soft Condensed Matter · Physics 2015-05-18 Ellen Reister-Gottfried , Stefan M. Leitenberger , Udo Seifert

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

A dynamic system, which is used in the neural network theory, Ising spin glasses and factor analysis, has been investigated. The properties of the connection matrix, which guarantee the coincidence of the set of the fixed points of the…

Disordered Systems and Neural Networks · Physics 2012-03-24 Leonid B. Litinskii

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

Soft Condensed Matter · Physics 2010-10-19 Pragya Shukla

Despite the importance of a thermodynamically stable structure with a conserved fold for protein function, almost all evolutionary models neglect site-site correlations that arise from physical interactions between neighboring amino acid…

Populations and Evolution · Quantitative Biology 2013-12-04 Andrew J. Bordner , Hans D. Mittelmann

A theoretical framework is developed to study the dynamics of protein folding. The key insight is that the search for the native protein conformation is influenced by the rate r at which external parameters, such as temperature, chemical…

Biomolecules · Quantitative Biology 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

We propose an energy-based model (EBM) of protein conformations that operates at atomic scale. The model is trained solely on crystallized protein data. By contrast, existing approaches for scoring conformations use energy functions that…

Machine Learning · Computer Science 2020-04-29 Yilun Du , Joshua Meier , Jerry Ma , Rob Fergus , Alexander Rives

We analytically derive the lower bound of the total conformational energy of a protein structure by assuming that the total conformational energy is well approximated by the sum of sequence-dependent pairwise contact energies. The condition…

Biomolecules · Quantitative Biology 2008-01-03 Akira R. Kinjo , Sanzo Miyazawa

In this work we develop a theory of interaction of randomly patterned surfaces as a generic prototype model of protein-protein interactions. The theory predicts that pairs of randomly superimposed identical (homodimeric) random patterns…

Biomolecules · Quantitative Biology 2009-11-13 D. B. Lukatsky , K. B. Zeldovich , E. I. Shakhnovich