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We modify and extend the recently developed statistical mechanical model for predicting the thermodynamic properties of chain molecules having noncovalent double-stranded conformations, as in RNA or ssDNA, and $\beta-$sheets in protein, by…

Soft Condensed Matter · Physics 2009-11-07 Fei Liu , Luru Dai , Zhong-can Ou-Yang

The structure and dynamics of negatively charged nucleic acids strongly correlate with the concentration and charge of the oppositely charged counter-ions. It is well known that the structural collapse of DNA is favored in the presence of…

Soft Condensed Matter · Physics 2015-08-24 Soumadwip Ghosh , Himanshu Dixit , Rajarshi Chakrabarti

We study pairs of interacting self-avoiding walks on the 3d simple cubic lattice. They have a common origin and are allowed to overlap only at the same monomer position along the chain. The latter overlaps are indeed favored by an energetic…

Soft Condensed Matter · Physics 2009-10-31 Maria Serena Causo , Barbara Coluzzi , Peter Grassberger

DNA adsorption and naturation is modeled via two interacting flexible homopolymers coupled to a solid surface. DNA denatures if the entropy gain for unbinding the two strands overcomes the loss of binding energy. When adsorbed to a surface,…

Soft Condensed Matter · Physics 2009-11-11 A. E. Allahverdyan , Zh. S. Gevorkian , Chin-Kun Hu , Th. M. Nieuwenhuizen

The dynamics of loops at the DNA denaturation transition is studied. A scaling argument is used to evaluate the asymptotic behavior of the autocorrelation function of the state of complementary bases (either open or closed). The long-time…

Statistical Mechanics · Physics 2008-07-03 Amir Bar , Yariv Kafri , David Mukamel

Using a Brownian dynamics simulation, we numerically studied the interaction of DNA with histone and proposed an octamer-rotation model to describe the process of nucleosome formation. Nucleosome disruption under stretching was also…

Biomolecules · Quantitative Biology 2007-05-23 Wei Li , Shuo-Xing Dou , Peng-Ye Wang

We introduce oxNA, a new model for the simulation of DNA-RNA hybrids which is based on two previously developed coarse-grained models$\unicode{x2014}$oxDNA and oxRNA. The model naturally reproduces the physical properties of hybrid duplexes…

Soft Condensed Matter · Physics 2024-03-19 Eryk J. Ratajczyk , Petr Šulc , Andrew J. Turberfield , Jonathan P. K. Doye , Ard A. Louis

We propose a formalism for describing two-strand systems of a DNA type by means of soliton von Neumann equations, and illustrate how it works on a simple example exactly solvably by a Darboux transformation. The main idea behind the…

Populations and Evolution · Quantitative Biology 2008-01-30 Diederik Aerts , Marek Czachor

While the behavior of double stranded DNA at mesoscopic scales is fairly well understood, less is known about its relation to the rich mechanical properties in the base-pair scale, which is crucial, for instance, to understand DNA-protein…

Soft Condensed Matter · Physics 2025-02-03 Yair Augusto Gutierrez Fosado , Fabio Landuzzi , Takahiro Sakaue

The oxidative damage of DNA is a compelling issue in molecular biophysics as it plays a vital role in the epigenetic control of gene expression and is believed to be associated with mutagenesis, carcinogenesis, and ageing. To understand the…

Biological Physics · Physics 2022-10-19 Khadka B. Chhetri , Supriyo Naskar , Prabal K. Maiti

We discuss the effects of external stress on the thermal denaturation of homogeneous DNA. Pulling double-stranded DNA at each end exerts a profound effect on the thermal denaturation, or melting, of a long segment of this molecule. We…

Soft Condensed Matter · Physics 2009-11-13 Joseph Rudnick , Tatiana Kuriabova

Existing state-of-the-art methods that take a single RNA sequence and predict the corresponding RNA secondary-structure are thermodynamic methods. These predict the most stable RNA structure, but do not consider the process of structure…

Biomolecules · Quantitative Biology 2012-07-26 Jeff R. Proctor , Irmtraud M. Meyer

The Peyrard-Bishop DNA model describes the molecular interactions with simple potentials which allow efficient calculations of melting temperatures. However, it is based on a Hamiltonian that does not consider the helical twist or any other…

Biomolecules · Quantitative Biology 2020-07-16 Mateus Rodrigues Leal , Gerald Weber

We study theoretically the mechanical failure of a simple model of double stranded DNA under an applied shear. Starting from a more microscopic Hamiltonian that describes a sheared DNA, we arrive at a nonlinear generalization of a ladder…

Soft Condensed Matter · Physics 2009-04-13 Buddhapriya Chakrabarti , David R. Nelson

We study theoretically the denaturation of single RNA molecules by mechanical stretching, focusing on signatures of the (un)folding pathway in molecular fluctuations. Our model describes the interactions between nucleotides by incorporating…

Soft Condensed Matter · Physics 2009-11-07 Ulrich Gerland , Ralf Bundschuh , Terence Hwa

The Poland-Scheraga model for DNA denaturation, besides playing a central role in applications, has been widely studied in the physical and mathematical literature over the past decades. More recently a natural generalization has been…

Probability · Mathematics 2017-03-31 Quentin Berger , Giambattista Giacomin , Maha Khatib

By exploring a recent model [Palmeri, J., M. Manghi, and N. Destainville. 2007. Phys. Rev. Lett. 99:088103] where DNA bending elasticity, described by the wormlike chain model, is coupled to base-pair denaturation, we demonstrate that small…

Statistical Mechanics · Physics 2010-06-22 Nicolas Destainville , Manoel Manghi , John Palmeri

The effective DNA-DNA interaction force is calculated by computer simulations with explicit tetravalent counterions and monovalent salt. For overcharged DNA molecules, the interaction force shows a double-minimum structure. The positions…

Biomolecules · Quantitative Biology 2009-11-10 E. Allahyarov , G. Gompper , H. Löwen

The data-driven modeling of dynamical systems has become an essential tool for the construction of accurate computational models from real-world data. In this process, the inherent differential structures underlying the considered physical…

Numerical Analysis · Mathematics 2025-06-04 Michael S. Ackermann , Ion Victor Gosea , Serkan Gugercin , Steffen W. R. Werner

A kinetic theory is developed for exonuclease-deficient DNA polymerases, based on the experimental observation that the rates depend not only on the newly incorporated nucleotide, but also on the previous one, leading to the growth of…

Subcellular Processes · Quantitative Biology 2018-01-04 Pierre Gaspard