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Using three-dimensional Go lattice models with side chains for proteins, we investigate the dependence of folding times on protein length. In agreement with previous theoretical predictions, we find that the folding time grows as a power…

Soft Condensed Matter · Physics 2007-05-23 Mai Suan Li , D. K. Klimov , D. Thirumalai

We study electronic transport in long DNA chains using the tight-binding approach for a ladder-like model of DNA. We find insulating behavior with localizaton lengths xi ~ 25 in units of average base-pair seperation. Furthermore, we observe…

Soft Condensed Matter · Physics 2007-05-23 Antonio Rodriguez , Rudolf A. Roemer , Matthew S. Turner

A simple way to get insights about the possible functional motions of a protein is to perform a normal mode analysis (NMA). Indeed, it has been shown that low-frequency modes thus obtained are often closely related to domain motions…

Biomolecules · Quantitative Biology 2013-12-20 Yves-Henri Sanejouand

A model of self avoiding walks with suitable constraint has been developed to study the effect of temperature on a single stranded DNA (ssDNA) in the constant force ensemble. Our exact calculations for small chains show that the extension…

Statistical Mechanics · Physics 2009-11-13 Sanjay Kumar , Garima Mishra

We present a new method for calculating internal forces in DNA structures using coarse-grained models and demonstrate its utility with the oxDNA model. The instantaneous forces on individual nucleotides are explored and related to model…

Soft Condensed Matter · Physics 2021-03-10 Megan C. Engel , Flavio Romano , Ard A. Louis , Jonathan P. K. Doye

When described by a low-dimensional reaction coordinate, the rates of protein folding are determined by a subtle interplay between free-energy barriers and friction. While it is commonplace to extract free-energy profiles from molecular…

Soft Condensed Matter · Physics 2022-10-24 Benjamin A. Dalton , Cihan Ayaz , Lucas Tepper , Roland R. Netz

We consider discrete sine-Gordon equation on branched domains. The latter is modeled in terms of the metric graphs with discrete bonds having the form of the branched 1D chains. Exact analytical solutions of the problem are obtained for…

Exactly Solvable and Integrable Systems · Physics 2023-01-16 M. E. Akramov , J. R. Yusupov , I. N. Askerzade , D. U. Matrasulov

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learned how to extract this information to predict the three--dimensional, biologically active, native conformation of…

Biomolecules · Quantitative Biology 2009-11-10 R. A. Broglia , G. Tiana

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

The problem of motif detection can be formulated as the construction of a discriminant function to separate sequences of a specific pattern from background. In computational biology, motif detection is used to predict DNA binding sites of a…

Genomics · Quantitative Biology 2010-12-10 Qing Zhou

Single molecule and NMR measurements of protein dynamics increasingly uncover the complexity of binding scenarios. Here we describe an extended conformational selection model which embraces a repertoire of selection and adjustment…

Biomolecules · Quantitative Biology 2010-10-05 Peter Csermely , Robin Palotai , Ruth Nussinov

Using a theoretical model for spontaneous partial DNA unwrapping from histones, we study the transient exposure of protein-binding DNA sites within nucleosomes. We focus on the functional dependence of the rates for site exposure and…

Subcellular Processes · Quantitative Biology 2007-08-21 Wolfram Mobius , Richard A. Neher , Ulrich Gerland

A functional integral formalism is used to derive the extension of a stiff chain subject to an external force. The force versus extension curves are calculated using a meanfield approach in which the hard constraint $u^2(s)=1$ is replaced…

Condensed Matter · Physics 2009-10-28 B. -Y. Ha , D. Thirumalai

We predict various detectable mechanical responses to the presence of local DNA defects which are defined as short DNA segments exhibiting mechanical properties obviously different from the 50 nm persistence length based semiflexible…

Biomolecules · Quantitative Biology 2009-05-04 Hu Chen , Jie Yan

We study the features on the unzipping process of a modified version of the Peyrard-Bishop- Dauxois model. We show that the inclusion of a barrier in the on-site potential allows for the existence of stable domain wall solutions between…

Biological Physics · Physics 2013-12-12 A. E. Bergues-Pupo , J. M. Bergues , F. Falo

Protein is linked to almost every life process. Therefore, analyzing the biological structure and property of protein sequences is critical to the exploration of life, as well as disease detection and drug discovery. Traditional protein…

Machine Learning · Computer Science 2021-12-08 Yijia Xiao , Jiezhong Qiu , Ziang Li , Chang-Yu Hsieh , Jie Tang

Conformation of a protein (CorA) is examined in a matrix with mobile solute constituents as a function of solute-residue interaction strength (f) by a coarse-grained model with a Monte Carlo simulation. Solute particles are found to reach…

Biological Physics · Physics 2020-08-26 Warin Rangubpit , Sunan Kitjaruwankul , Pornthep Sompornpisut , R. B. Pandey

We present a theoretical model of facilitated diffusion of proteins in the cell nucleus. This model, which takes into account the successive binding/unbinding events of proteins to DNA, relies on a fractal description of the chromatin which…

Statistical Mechanics · Physics 2015-05-19 O. Benichou , C. Chevalier , B. Meyer , R. Voituriez

Gene regulation is one of the most important fundamental biological processes in living cells. It involves multiple protein molecules that locate specific sites on DNA and assemble gene initiation or gene repression multi-molecular…

Biological Physics · Physics 2019-10-23 Jaeoh Shin , Anatoly B. Kolomeisky

Protein activity is a significant characteristic for recombinant proteins which can be used as biocatalysts. High activity of proteins reduces the cost of biocatalysts. A model that can predict protein activity from amino acid sequence is…

Quantitative Methods · Quantitative Biology 2018-07-23 X. Han , X. Wang , K. Zhou