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We present a theoretical study of single-stranded DNA under stretching. Within the proposed framework, the effects of basepairing on the mechanical response of the molecule can be studied in combination with an arbitrary underlying model of…

Soft Condensed Matter · Physics 2009-11-10 Alexei V. Tkachenko

A dynamical mean-field theory is developed to analyze stochastic single-cell dynamics of gene expression. By explicitly taking account of nonequilibrium and nonadiabatic features of the DNA state fluctuation, two-time correlation functions…

Molecular Networks · Quantitative Biology 2009-11-13 Yurie Okabe , Yuu Yagi , Masaki Sasai

Force extension curves (FECs), which quantify the response of a variety of biomolecules subject to mechanical force ($f$), are often quantitatively fit using worm-like chain (WLC) or freely-jointed chain (FJC) models. These models predict…

Soft Condensed Matter · Physics 2015-06-05 Ngo Minh Toan , D. Thirumalai

We propose that supercoiling energizes double-stranded DNA (dsDNA) so as to facilitate thermal fluctuations to an unzipped state. We support this with a model of two elastic rods coupled via forces that represent base pair interactions.…

Soft Condensed Matter · Physics 2009-11-10 Shirish M. Chitanvis , Paul M. Welch

We present an extensive theoretical investigation of the mechanical unzipping of double-stranded DNA under the influence of an applied force. In the limit of long polymers, there is a thermodynamic unzipping transition at a critical force…

Soft Condensed Matter · Physics 2009-11-07 David K. Lubensky , David R. Nelson

We study the proximity-induced superconductivity effect in a double-stranded DNA by solving the Bogoliubov-de Gennes equations and taking into account the effect of thermal fluctuations of the twist angle between neighboring base pairs. We…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Hamidreza Simchi , Mahdi Esmaeilzadeh , Hossein Mazidabadi

The flexibility and the extension along the direction of the force are shown to be related to the bubble number fluctuation and the average number of bubbles respectively, when the strands of the DNA are subjected to a force along the same…

Soft Condensed Matter · Physics 2021-05-21 Debjyoti Majumdar

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

A detailed description of the conformational plasticity of double stranded DNA (ds) is a necessary framework for understanding protein-DNA interactions. Until now, however structure and kinetics of the transition from the basic conformation…

Soft Condensed Matter · Physics 2011-03-04 Pasquale Bianco , Lorenzo Bongini , Luca Melli , Mario Dolfi , Vincenzo Lombardi

By extending the classical Peyrard-Bishop model, we are able to obtain a fully analytical description for the mechanical resistance of DNA under stretching at variable values of temperature, number of base pairs and intrachains and…

Soft Condensed Matter · Physics 2022-07-20 G. Florio , G. Puglisi

The objective of the present study was to develop an understanding of short single-stranded DNA (ssDNA) to assist the development of new DNA-based biosensors. A ssDNA model containing twelve bases was constructed from the 130-145 codon…

Biological Physics · Physics 2012-07-30 Subhasish Chatterjee , Bonnie Gersten , Siddarth Thakur , Alexander Burin

As sections of a strand duplexed DNA denature when exposed to high temperature, the excess linking number is taken up by the undenatured portions of the molecule. The mechanical energy that arises because of the overwinding of the…

Soft Condensed Matter · Physics 2009-11-07 Joseph Rudnick , Robijn Bruinsma

In the coordinate representation of thermofield dynamics, we investigate the thermalized displaced squeezed thermal state which involves two temperatures successively. We give the wavefunction and the matrix element of the density operator…

Quantum Physics · Physics 2008-11-26 Wen-Fa Lu

We consider a directed walk model of a homopolymer (in two dimensions) which is self-interacting and can undergo a collapse transition, subject to an applied tensile force. We review and interpret all the results already in the literature…

Statistical Mechanics · Physics 2009-11-13 R. Brak , P. Dyke , J. Lee , A. L. Owczarek , T. Prellberg , A. Rechnitzer , S. G. Whittington

DNA and other biopolymers differ from classical polymers due to their torsional stiffness. This property changes the statistical character of their conformations under tension from a classical random walk to a problem we call the `torsional…

Soft Condensed Matter · Physics 2009-10-30 J. David Moroz , Philip Nelson

The incredible thermo-mechanical properties of biological materials arise from the microscopic scale due to a complex hierarchical mechanism, regulated by microinstabilities at the molecular level. The description of such complex structures…

Biological Physics · Physics 2022-10-26 Luca Bellino

A theory for thermomechanical behavior of homogeneous DNA at thermal equilibrium predicts critical temperatures for denaturation under torque and stretch, phase diagrams for stable B--DNA, supercoiling, optimally stable torque, and the…

Soft Condensed Matter · Physics 2015-05-27 Cristiano Nisoli , A. R. Bishop

Loops are essential secondary structure elements in folded DNA and RNA molecules and proliferate close to the melting transition. Using a theory for nucleic acid secondary structures that accounts for the logarithmic entropy c ln m for a…

Statistical Mechanics · Physics 2011-05-02 Thomas R. Einert , Henri Orland , Roland R. Netz

Organization and maintenance of the chromosomal DNA in living cells strongly depends on the DNA interactions with a plethora of DNA-binding proteins. Single-molecule studies show that formation of nucleoprotein complexes on DNA by such…

Biomolecules · Quantitative Biology 2018-09-05 Artem K. Efremov , Jie Yan

DNA stretching experiments are usually interpreted using the worm-like chain model; the persistence length A appearing in the model is then interpreted as the elastic stiffness of the double helix. In fact the persistence length obtained by…

Soft Condensed Matter · Physics 2009-10-30 Philip Nelson