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The thermodynamical properties of heterogeneous DNA sequences are computed by path integral techniques applied to a nonlinear model Hamiltonian. The base pairs relative displacements are interpreted as time dependent paths whose amplitudes…

Statistical Mechanics · Physics 2010-05-12 Marco Zoli

The dynamics of the DNA denaturation is studied using the Peyrard-Bishop-Dauxois model. The denaturation rate of double stranded polymers decreases exponentially as function of length below the denaturation temperature. Above Tc, the rate…

Biological Physics · Physics 2015-06-04 Titus S. van Erp , Michel Peyrard

A unified model is constructed to study the recently observed DNA entropic elasticity, cooperative extensibility, and supercoiling property. With the introduction of a new structural parameter (the folding angle $\phi$), bending…

Soft Condensed Matter · Physics 2007-05-23 Zhou Haijun , Zhang Yang , Ou-Yang Zhong-can

The denaturation of the double helix is a template for fundamental biological functions such as replication and transcription involving the formation of local fluctuational openings. The denaturation transition is studied for heterogeneous…

Biomolecules · Quantitative Biology 2014-06-03 Marco Zoli

We describe a faster and more accurate algorithm for computing the statistical mechanics of DNA denaturation according to the Poland-Scheraga type. Nearest neighbor thermodynamics is included in a complete and general way. The algorithm…

Biomolecules · Quantitative Biology 2007-05-23 E. Tostesen , F. Liu , T. -K. Jenssen , E. Hovig

The strong bending of polymers is poorly understood. We propose a general quantitative framework of polymer bending that includes both the weak and strong bending regimes on the same footing, based on a single general physical principle. As…

Biological Physics · Physics 2019-12-04 Aleksander V. Drozdetski , Abhishek Mukhopadhyay , Alexey V. Onufriev

This paper introduces the use of cable dynamics models as a means to explore the mechanics of DNA on long-length scales. It is on these length scales that DNA forms twisted and curved three-dimensional shapes known as supercoils and loops.…

Biological Physics · Physics 2007-05-23 Sachin Goyal , Todd Lillian , Noel C. Perkins , Edgar Meyhofer

In this work we propose a model for DNA double helix within the tight-binding framework that incorporates the helicity of the molecules. We have studied localization properties of three DNAsequences,the periodic poly(dG)-poly(dC) and…

Mesoscale and Nanoscale Physics · Physics 2015-07-27 Sourav Kundu , S. N. Karmakar

We use an elastic rod model with contact to study the extension versus rotation diagrams of single supercoiled DNA molecules. We reproduce quantitatively the supercoiling response of overtwisted DNA and, using experimental data, we get an…

Biomolecules · Quantitative Biology 2013-05-29 Sebastien Neukirch

When pulled along the axis, double-strand DNA undergoes a large conformational change and elongates roughly twice its initial contour length at a pulling force about 70 pN. The transition to this highly overstretched form of DNA is very…

Soft Condensed Matter · Physics 2008-09-11 Mogurampelly Santosh , Prabal K Maiti

We study voltage driven translocation of a single stranded (ss) DNA through a membrane channel. Our model, based on a master equation (ME) approach, investigates the probability density function (pdf) of the translocation times, and shows…

Statistical Mechanics · Physics 2007-05-23 O. Flomenbom , J. Klafter

In our report we consider two weakly coupled Schr\"odinger equations as a model of the interchain energy transport in the DNA double-helix. We use the reduction of the Yakushevich-type model considering the torsional dynamics of the DNA. In…

Pattern Formation and Solitons · Physics 2021-12-22 Margarita Kovaleva , Leonid Manevitch

Multistep denaturation in a short circular DNA molecule is analyzed by a mesoscopic Hamiltonian model which accounts for the helicoidal geometry. Computation of melting profiles by the path integral method suggests that stacking…

Soft Condensed Matter · Physics 2012-04-13 Marco Zoli

The two strands of a DNA molecule with a repetitive sequence can pair into many different basepairing patterns. For perfectly periodic sequences, early bulk experiments of Poerschke indicate the existence of a sliding process, permitting…

Biomolecules · Quantitative Biology 2007-05-23 Richard A. Neher , Ulrich Gerland

We use a recently developed coarse-grained model to simulate the overstretching of duplex DNA. Overstretching at 23C occurs at 74 pN in the model, about 6-7 pN higher than the experimental value at equivalent salt conditions. Furthermore,…

Biomolecules · Quantitative Biology 2013-06-25 Flavio Romano , Debayan Chakraborty , Jonathan P. K. Doye , Thomas E. Ouldridge , Ard. A. Louis

We study the dynamics of denaturation bubbles in double-stranded DNA on the basis of the Poland-Scheraga model. We show that long time distributions for the survival of DNA bubbles and the size autocorrelation function can be derived from…

Statistical Mechanics · Physics 2008-06-02 Hans C. Fogedby , Ralf Metzler

Recent theoretical predictions on DNA mechanical separation induced by pulling forces are numerically tested within a model in which self-avoidance for DNA strands is fully taken into account. DNA strands are described by interacting pairs…

Statistical Mechanics · Physics 2009-11-07 Enzo Orlandini , Somendra M. Bhattacharjee , Davide Marenduzzo , Amos Maritan , Flavio Seno

DNA supercoils are generated in genome regulation processes such as transcription and replication, and provide mechanical feedback to such processes. Under tension, DNA supercoil can present a coexistence state of plectonemic (P) and…

Soft Condensed Matter · Physics 2022-03-02 Biao Wan , Jin Yu

DNA supercoiling is central to many fundamental processes of living organisms. Its average level along the chromosome and over time reflects the dynamic equilibrium of opposite activities of topoisomerases, which are required to relax…

Biomolecules · Quantitative Biology 2023-10-09 Ivan Junier , Elham Ghobadpour , Olivier Espeli , Ralf Everaers

Circular double stranded DNA has different topological states which are defined by their linking numbers. Equilibrium distribution of linking numbers can be obtained by closing a linear DNA into a circle by ligase. Using Monte Carlo…

Biomolecules · Quantitative Biology 2009-05-04 Hu Chen , Yanhui Liu , Zhen Zhou , Lin Hu , Zhong-Can Ou-Yang , Jie Yan
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