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We describe a simple meanfield variational approach to study a number of properties of intrinsically stiff chains which are appropriate models for a large class of biopolymers. We present the calculation of the distribution of end-to-end…

Soft Condensed Matter · Physics 2008-02-03 D. Thirumalai , B. -Y. Ha

Because the constant extension ensemble of single chain molecule is not always equivalent with constant force ensemble, a model of double-stranded conformations, as in RNA molecules and $\beta$-sheets in proteins, with fixed extension…

Soft Condensed Matter · Physics 2007-05-23 Fei Liu , Luru Dai , Tao Xu , Zhong-can Ou-Yang

We describe quantitatively a RNA molecule under the influence of an external force exerted at its two ends as in a typical single-molecule experiment. Our calculation incorporates the interactions between nucleotides by using the…

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

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

The transport of deformable particles through porous media underlies a wealth of applications ranging from filtration to oil recovery to the transport and spreading of biological agents. Using direct numerical simulations, we analyze the…

Soft Condensed Matter · Physics 2020-06-09 Brato Chakrabarti , Charles Gaillard , David Saintillan

We had combined the Neukirch-Marko model that describes the extension, torque and supercoiling in single, stretched and twisted DNA of infinite contour length, with a form of the free energy suggested by Sinha and Samuels to describe short…

Soft Condensed Matter · Physics 2017-11-22 Pui-Man Lam , Yi Zhen

Using molecular dynamic simulation, we study the stretching of an adsorbed homopolymer in a poor solvent with one end held at a distance $z_e$ from the substrate. We measure the vertical force $f$ on the end of the chain as a function of…

Soft Condensed Matter · Physics 2009-11-10 Franck Celestini , Thoma Frisch , Xabier Oyharcabal

In this paper, we present a theory to efficiently deal with mechanical properties of heterogeneous polymer chain in free space and the central problem is to evaluate the diffusion equation and orientation-orientation correlation function,…

Biological Physics · Physics 2019-11-05 Ming Li , Jizeng Wang

We use a coarse-grained molecular model to study the self-assembly process of complexes of cationic and neutral lipids with DNA molecules ("lipoplexes") - a promising nonviral carrier of DNA for gene therapy. We identify the resulting…

Soft Condensed Matter · Physics 2011-05-31 Oded Farago , Niels Grønbech-Jensen

We make use of the previously developed formalism for a monomer ensemble and include angular dependence of the segments of the polymer chains thus described. In particular we show how to deal with stiffness when the polymer chain is…

Soft Condensed Matter · Physics 2015-06-24 K. K. Muller-Nedebock , H. L. Frisch , J. K. Percus

We propose a formalism for deriving force-elongation and elongation-force relations for flexible chain molecules from analytical expressions for their radial distribution function, which provides insight into the factors controlling the…

Soft Condensed Matter · Physics 2021-02-03 Ralf Everaers , Nils B. Becker , Angelo Rosa

We study a class of micromanipulation experiments, exemplified by the pulling apart of the two strands of double-stranded DNA (dsDNA). When the pulling force is increased to a critical value, an ``unzipping'' transition occurs. For random…

Soft Condensed Matter · Physics 2009-10-31 David K. Lubensky , David R. Nelson

Negatively charged DNA can be compacted by positively charged dendrimers and the degree of compaction is a delicate balance between the strength of the electrostatic interaction and the elasticity of DNA. We report various elastic…

Biological Physics · Physics 2013-07-25 Santosh Mogurampelly , Bidisha Nandy , Roland R. Netz , Prabal K. Maiti

Recently Storm and Nelson [1] (Phys.Rev. E67, 51906 (2003)) introduced the discrete persistent chain model which contains both features of the freely jointed chain (FJC) and the wormlike chain (WLC) models. Equation (20) of their paper is…

Soft Condensed Matter · Physics 2009-11-10 Pui-Man Lam

We investigate the statistical mechanics of a torsionally constrained polymer. The polymer is modeled as a fluctuating rod with bend stiffness A kT and twist stiffness C kT. In such a model, thermal bend fluctuations couple geometrically to…

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

We introduce a coarse-grained model of DNA with bases modeled as rigid-body ellipsoids to capture their anisotropic stereochemistry. Interaction potentials are all physicochemical and generated from all-atom simulation/parameterization with…

Soft Condensed Matter · Physics 2015-05-14 Alex Morriss-Andrews , Joerg Rottler , Steven S. Plotkin

We explore in detail the structural, mechanical and thermodynamic properties of a coarse-grained model of DNA similar to that introduced in Thomas E. Ouldridge, Ard A. Louis, Jonathan P.K. Doye, Phys. Rev. Lett. 104 178101 (2010). Effective…

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

Experiments using nanofluidic devices have proven effective in characterizing the physical properties of polymers confined to small cavities. Two recent studies using such methods examined the organization and dynamics of two DNA molecules…

Soft Condensed Matter · Physics 2022-12-29 Desiree A. Rehel , James M. Polson

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

We scrutinize the effect of polyvalent ions on polymer-DNA interactions. We extend a recently developed test charge theory to the case of a stiff polymer interacting with a DNA molecule in an electrolyte mixture. The theory accounts for…

Soft Condensed Matter · Physics 2017-03-08 Sahin Buyukdagli