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A two-dimensional square-lattice model for the formation of secondary structures in proteins, the hydrogen-bonding model, is extended to include the effects of solvent quality. This is achieved by allowing configuration-dependent…

Statistical Mechanics · Physics 2009-11-13 D P Foster , C Pinettes

Folding channels and free-energy landscapes of hydrophobic-polar heteropolymers are discussed on the basis of a minimalistic off-lattice coarse-grained model. We investigate how rearrangements of hydrophobic and polar monomers in a…

Soft Condensed Matter · Physics 2009-11-13 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

DNA loop formation is one of several mechanisms used by organisms to regulate genes. The free energy of forming a loop is an important factor in determining whether the associated gene is switched on or off. In this paper we use an elastic…

Biomolecules · Quantitative Biology 2015-06-26 Prashant K. Purohit , Philip C. Nelson

We investigate the sequence-dependent behaviour of localised excitations in a toy, nonlinear model of DNA base-pair opening originally proposed by Salerno. Specifically we ask whether ``breather'' solitons could play a role in the…

Biomolecules · Quantitative Biology 2008-11-26 J. D. Bashford

We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schroedinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions that arise in principal six-lattice-site and…

Pattern Formation and Solitons · Physics 2009-11-13 K. J. H. Law , P. G. Kevrekidis , V. Koukouloyannis , I. Kourakis , D. J. Frantzeskakis , A. R. Bishop

We implement the replica exchange molecular dynamics algorithm to study the interactions of a model peptide (WALP-16) with an explicitly represented DPPC membrane bilayer. We observe the spontaneous, unbiased insertion of WALP-16 into the…

Biomolecules · Quantitative Biology 2007-05-23 Hugh Nymeyer , Thomas B. Woolf , Angel E. Garcia

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

Recent experimental results suggest that the native fold, or topology, plays a primary role in determining the structure of the transition state ensemble, at least for small fast folding proteins. To investigate the extent of the…

Statistical Mechanics · Physics 2007-05-23 Cecilia Clementi , Hugh Nymeyer , Jose' Nelson Onuchic

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

Determining the three-dimensional structure of a protein from its amino-acid sequence remains a fundamental problem in biophysics. The discrete Frenet geometry of the C$_\alpha$ backbone can be mapped, via a Hasimoto-type transform, onto a…

Biomolecules · Quantitative Biology 2026-02-16 Yiquan Wang

We study folding dynamics of protein-like sequences on square lattice using physical move set that exhausts all possible conformational changes. By analytically solving the master equation, we follow the time-dependent probabilities of…

Biomolecules · Quantitative Biology 2016-08-16 Sëma Kachalo , Hsiao-Mei Lu , Jie Liang

DNA looping plays a fundamental role in a wide variety of biological processes, providing the backbone for long range interactions on DNA. Here we develop the first model for DNA looping by an arbitrarily large number of proteins and solve…

Subcellular Processes · Quantitative Biology 2007-05-23 Jose M. G. Vilar , Leonor Saiz

Applying multicanonical simulations we investigated folding properties of off-lattice heteropolymers employing a mesoscopic hydrophobic-polar model. We study for various sequences folding channels in the free-energy landscape by comparing…

Soft Condensed Matter · Physics 2009-02-17 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

Exploring the protein-folding problem has been a long-standing challenge in molecular biology. Protein folding is highly dependent on folding of secondary structures as the way to pave a native folding pathway. Here, we demonstrate that a…

Biomolecules · Quantitative Biology 2020-09-17 Jiacheng Li , Xiaoliang Ma , Hongchi Zhang , Chengyu Hou , Liping Shi , Shuai Guo , Chenchen Liao , Bing Zheng , Lin Ye , Lin Yang , Xiaodong He

We consider the electronic properties of layered molecular crystals of the type theta-D$_2$A, where A is an anion and D is a donor molecule such as BEDT-TTF [where BEDT-TTF is bis-(ethylenedithia-tetrathiafulvalene)] which is arranged in…

Strongly Correlated Electrons · Physics 2009-11-07 Ross H. McKenzie , J. Merino , J. B. Marston , O. P. Sushkov

The essential features of the in vitro refolding of myoglobin are expressed in a solvable physical model. Alpha helices are taken as the fundamental collective coordinates of the system, while the refolding is assumed to be mainly driven by…

Condensed Matter · Physics 2007-05-23 David J. E. Callaway

I study the buckling transition under compression of a two-dimensional, hexagonal, regular elastic honeycomb. Under isotropic compression, the system buckles to a configuration consisting of a unit cell containing four of the original…

Materials Science · Physics 2009-11-10 E. A. Jagla

Storage and retrieval of the genetic information in cells is a dynamic process that requires the DNA to undergo dramatic structural rearrangements. DNA looping is a prominent example of such a structural rearrangement that is essential for…

Biological Physics · Physics 2015-01-07 Yi-Ju Chen , Stephanie Johnson , Peter Mulligan , Andrew J. Spakowitz , Rob Phillips

Protein$\alpha$-helices provide an ordered biological environment that is conducive to soliton-assisted energy transport. The nonlinear interaction between amide I excitons and phonon deformations induced in the hydrogen-bonded lattice of…

Biological Physics · Physics 2022-02-02 Danko D. Georgiev , James F. Glazebrook

Mechanical stretching of secondary structures is studied through molecular dynamics simulations of a Go-like model. Force vs. displacement curves are studied as a function of the stiffness and velocity of the pulling device. The succession…

Soft Condensed Matter · Physics 2007-05-23 Marek Cieplak , Trinh Xuan Hoang , Mark O. Robbins
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