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We fit the Fourier transforms of solvent accessibility and hydrophobicity profiles of a representative set of proteins to a joint multi-variable Gaussian. This allows us to separate the intrinsic tendencies of sequence and structure…

Biomolecules · Quantitative Biology 2007-05-23 Mehdi Yahyanejad , Christopher B. Burge , Mehran Kardar

In this paper we introduce a novel method of deriving a pairwise potential for protein folding. The potential is obtained by optimization procedure, which simultaneously maximizes the energy gap for {\it all} proteins in the database. To…

Condensed Matter · Physics 2007-05-23 L. A. Mirny , E. I. Shakhnovich

A general strategy is described for finding which amino acid sequences have native states in a desired conformation (inverse design). The approach is used to design sequences of 48 hydrophobic and polar aminoacids on three-dimensional…

Statistical Mechanics · Physics 2009-10-30 C. Micheletti , F. Seno , A. Maritan , J. R. Banavar

Different aspects of protein folding are illustrated by simplified polymer models. Stressing the diversity of side chains (residues) leads one to view folding as the freezing transition of an heteropolymer. Technically, the most common…

Soft Condensed Matter · Physics 2007-05-23 T. Garel

We consider a general incompressible finite model protein of size M in its environment, which we represent by a semiflexible copolymer consisting of amino acid residues classified into only two species (H and P, see text) following Lau and…

Statistical Mechanics · Physics 2008-01-16 P. D. Gujrati , Bradley P. Lambeth , Andrea Corsi , Evan Askanazi

A protein is a linear chain containing a set of amino acids, which folds on itself to create a specific native structure, also called the minimum energy conformation. It is the native structure that determines the functionality of each…

Biomolecules · Quantitative Biology 2021-05-28 Nabil Boumedine , Sadek Bouroubi

Wang-Landau sampling has been applied to investigate the thermodynamics and structural properties of a lattice hydrophobic-polar heteropolymer (the HP protein model) interacting with an attractive substrate. For simplicity, we consider a…

Soft Condensed Matter · Physics 2013-01-16 Ying Wai Li , Thomas Wüst , David P. Landau

The potential energy surface of an off-lattice model protein is characterized in detail by constructing a disconnectivity graph and by examining the organisation of pathways on the surface. The results clearly reveal the frustration…

Condensed Matter · Physics 2009-10-31 Mark A. Miller , David J. Wales

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 new lattice protein model with a four-helix bundle ground state is analyzed by a parameter-space Monte Carlo histogram technique to evaluate the effects of an extensive variety of model potentials on folding thermodynamics. Cooperative…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , Hue Sun Chan

We define a lattice model for the interaction of a polymer with water. We solve the model in a suitable approximation. In the case of a non-polar homopolymer, for reasonable values of the parameters, the polymer is found in a non-compact…

Statistical Mechanics · Physics 2009-10-31 Pierpaolo Bruscolini , Lapo Casetti

Among an infinite number of possible folds, nature has chosen only about 1000 distinct folds to form protein structures. Theoretical studies suggest that selected folds are intrinsically more designable than others; these selected folds are…

Soft Condensed Matter · Physics 2009-11-11 Cristiano L. Dias , Martin Grant

Two proteins, one belonging to the mainly alpha class and the other belonging to the alpha/beta class, are selected to test a kinetic mechanism for protein folding. Targeted molecular dynamics is applied to generate folding pathways for…

Biological Physics · Physics 2011-01-04 Leonor Cruzeiro

A simple lattice model for proteins that allows for distinct sizes of the amino acids is presented. The model is found to lead to a significant number of conformations that are the unique ground state of one or more sequences or encodable.…

Statistical Mechanics · Physics 2009-10-30 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

Protein structure is generally conceptualized as the global arrangement or of smaller, local motifs of helices, sheets, and loops. These regular, recurring secondary structural elements have well-understood and standardized definitions in…

Biomolecules · Quantitative Biology 2009-11-11 Isaac A. Hubner , Eugene I. Shakhnovich

By exact computer enumeration and combinatorial methods, we have calculated the designability of proteins in a simple lattice H-P model for the protein folding problem. We show that if the strength of the non-additive part of the…

Soft Condensed Matter · Physics 2009-10-30 M. R. Ejtehadi , N. Hamedani , H. Seyed-Allaei , V. Shahrezaei , M. Yahyanejad

The theory of elastic rods can be used to describe certain geometric and topological properties of the DNA molecules. A similar effective field theory approach was previously suggested to describe the conformations and dynamics of proteins.…

Biomolecules · Quantitative Biology 2019-09-04 Dmitry Melnikov , Alyson B. F. Neves

Proteins fold to a specific functional conformation with a densely packed hydrophobic core that controls their stability. We develop a geometric, yet all-atom model for proteins that explains the universal core packing fraction of…

Soft Condensed Matter · Physics 2025-03-28 Alex T. Grigas , Zhuoyi Liu , Jack A. Logan , Mark D. Shattuck , Corey S. O'Hern

Protein structure prediction is considered as one of the most challenging and computationally intractable combinatorial problem. Thus, the efficient modeling of convoluted search space, the clever use of energy functions, and more…

Neural and Evolutionary Computing · Computer Science 2016-07-22 Mahmood A. Rashid , Sumaiya Iqbal , Firas Khatib , Md Tamjidul Hoque , Abdul Sattar

The folding vs. adsorption behaviour of a coarse-grained off-lattice protein model near an attractive surface is presented within the frame of a Multicanonical Monte Carlo simulations. In the polymer-surface model, the Lennard-Jones…

Soft Condensed Matter · Physics 2015-12-23 Handan Arkin , Hakan Alaboz
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