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The twisting deformation of mechanically stretched DNA molecules is studied by a coarse grained Hamiltonian model incorporating the fundamental interactions that stabilize the double helix and accounting for the radial and angular base pair…

Soft Condensed Matter · Physics 2017-12-15 Marco Zoli

The role of the rigidity of a peptide chain in its equilibrium dynamics is investigated within a realistic model with stringent microscopically derived coupling interaction potential and effective on-site potential. The coupling interaction…

Soft Condensed Matter · Physics 2007-06-25 A. E. Sitnitsky

There are several simple criteria of folding to a native state in model proteins. One of them involves crossing of a threshold value of the RMSD distance away from the native state. Another checks whether all native contacts are…

Biomolecules · Quantitative Biology 2009-11-10 Joanna I. Kwiecinska , Marek Cieplak

The folding of a peptide chain into a three dimensional structure is a thermodynamically driven process such that the chain naturally evolves to form domains of similar amino acids. The formation of this domain occurs by curling the one…

Statistical Mechanics · Physics 2018-02-01 Theja N. De Silva , Vattika Sivised

Two-state cooperativity is an important characteristic in protein folding. It is defined by a depletion of states lying energetically between folded and unfolded conformations. While there are different ways to test for two-state…

Biomolecules · Quantitative Biology 2015-05-28 Tristan Bereau , Markus Deserno , Michael Bachmann

Predicting protein structure from amino acid sequence is one of the most important unsolved problems of molecular biology and biophysics.Not only would a successful prediction algorithm be a tremendous advance in the understanding of the…

Computational Engineering, Finance, and Science · Computer Science 2010-06-15 K. K Senapati , G. Sahoo , D. Bhaumik

A generic model of a random polypeptide chain, with discrete torsional degrees of freedom and Hookean springs connecting pairs of hydrophobic residues, reproduces the energy probability distribution of real proteins over a very large range…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Ayse Erzan

The protein folding problem is stated and a list of properties that do not depend upon specific molecules is compiled and analyzed. The relationship of this analysis to future simulations is emphasized. The choice of power and time as…

Biological Physics · Physics 2017-09-26 Walter A. Simmons

Experimental studies on enzyme evolution show that only a small fraction of all possible mutation trajectories are accessible to evolution. However, these experiments deal with individual enzymes and explore a tiny part of the fitness…

Populations and Evolution · Quantitative Biology 2015-05-30 Alexander E. Lobkovsky , Yuri I. Wolf , Eugene V. Koonin

Extensive Monte Carlo folding simulations for four proteins of various structural classes are carried out, using a single atomistic potential. In all cases, collapse occurs at a very early stage, and proteins fold into their native-like…

Statistical Mechanics · Physics 2009-11-10 Seung-Yeon Kim , Julian Lee , Jooyoung Lee

We investigate the process of random sequential adsorption of polydisperse particles whose size distribution exhibits a power-law dependence in the small size limit, $P(R)\sim R^{\alpha-1}$. We reveal a relation between pattern formation…

Statistical Mechanics · Physics 2009-10-31 N. V. Brilliantov , Yu. A. Andrienko , P. L. Krapivsky , J. Kurths

The biological function of a protein stems from its 3-dimensional structure, which is thermodynamically determined by the energetics of interatomic forces between its amino acid building blocks (the order of amino acids, known as the…

Biomolecules · Quantitative Biology 2019-05-03 Sean Mullane , Ruoyan Chen , Sri Vaishnavi Vemulapalli , Eli J. Draizen , Ke Wang , Cameron Mura , Philip E. Bourne

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

Although both RNA and proteins have densely packed native structures, chain organizations of these two biopolymers are fundamentally different. Motivated by the recent discoveries in chromatin folding that interphase chromosomes have…

Soft Condensed Matter · Physics 2016-12-28 Lei Liu , Changbong Hyeon

The folding of a protein towards its native state is a rather complicated process. However there are empirical evidences that the folding time correlates with the contact order, a simple measure of the spatial organisation of the native…

Soft Condensed Matter · Physics 2017-12-06 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

It is widely accepted that (1) the natural or folded state of proteins is a global energy minimum, and (2) in most cases proteins fold to a unique state determined by their amino acid sequence. The H-P (hydrophobic-hydrophilic) model is a…

Computational Geometry · Computer Science 2007-05-23 Oswin Aichholzer , David Bremner , Erik D. Demaine , Henk Meijer , Vera Sacristán , Michael Soss

A generalized persistent random walk (GPRW) model to study anomalous particle diffusion influenced by angular heterogeneity is presented. Consider the motion of a particle is composed of many consecutive straight line segments. At the end…

Biological Physics · Physics 2021-11-30 Kejie Chen , Bogdan Epureanu

Helices are a key folding motif in protein structure. The question which factors determine helix stability for a given polypeptide or protein is an ongoing challenge. Here we use van der Waals corrected density-functional theory to address…

Chemical Physics · Physics 2015-03-13 Mariana Rossi , Volker Blum , Matthias Scheffler

We present a coarse-grained C$\alpha$-based protein model that can be used to simulate structured, intrinsically disordered and partially disordered proteins. We use a Go-like potential for the structured parts and two different variants of…

Soft Condensed Matter · Physics 2024-04-09 Łukasz Mioduszewski , Jakub Bednarz , Mateusz Chwastyk , Marek Cieplak

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
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