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We provide the exact solution of several variants of simple models of the zipping transition of two bound polymers, such as occurs in DNA/RNA, in two and three dimensions using pairs of directed lattice paths. In three dimensions the…

Statistical Mechanics · Physics 2021-02-03 Nicholas R. Beaton , Aleksander L. Owczarek

Enzymatic ligation is essential for the synthesis of long DNA. However, the number of ligated products exponentially decays as the DNA synthesis proceeds in a random manner. The controlling of ligation randomness is of importance to…

Biological Physics · Physics 2021-09-29 Takaharu Y. Shiraki , Ken-ichiro Kamei , Yusuke T. Maeda

For short DNA molecules in crowded environments, we evaluate macroscopic parameters such as the average end-to-end distance and the twist conformation by tuning the strength of the site specific confinement driven by the crowders. The…

Soft Condensed Matter · Physics 2019-06-14 Marco Zoli

We study the unzipping of a double stranded DNA (dsDNA) by applying an external force on a single strand while leaving the other strand free. We find that the dsDNA can be unzipped to two single strands if the external force exceeds a…

Soft Condensed Matter · Physics 2009-06-02 Rajeev Kapri

A chemical kinetic model of the elongation dynamics of RNA polymerase along a DNA sequence is introduced. The proposed model governs the discrete movement of the RNA polymerase along a DNA template, with no consideration given to elastic…

Biomolecules · Quantitative Biology 2007-05-23 Yujiro Richard Yamada , Charles S. Peskin

We propose a new method for electrophoretic separation of DNA in which adsorbed polymers are driven over a disordered two-dimensional substrate which contains attractive sites for the polymers. Using simulations of a model for long polymer…

Soft Condensed Matter · Physics 2008-03-31 C. J. Olson Reichhardt , C. Reichhardt

Replication and transcription are two important processes in living systems. To execute such processes, various proteins work far away from equilibrium in a staggered way. Motivated by this, aspects of hysteresis during unzipping of DNA…

Soft Condensed Matter · Physics 2013-03-14 Garima Mishra , Poulomi Sadhukhan , Somendra M Bhattacharjee , Sanjay Kumar

The force-extension relation for a semi-flexible polymer such as DNA confined in a nanoslit is investigated and it is found that both the effective persistence length and the form of the force-extension relation change as the chain goes…

Soft Condensed Matter · Physics 2014-12-10 Hendrick W. de Haan , Tyler N. Shendruk

The dynamics of polymer translocation through a pore has been the subject of recent theoretical and experimental works. We have considered theoretical estimates and performed computer simulations to understand the mechanism of DNA uptake…

Soft Condensed Matter · Physics 2009-11-07 Zeno Farkas , Imre Derenyi , Tamas Vicsek

We consider how beads can diffuse along a chain that wraps them, without becoming displaced from the chain; our proposed mechanism is analogous to the reptation of "stored length" in more familiar situations of polymer dynamics. The problem…

Soft Condensed Matter · Physics 2009-11-07 H. Schiessel , J. Widom , R. F. Bruinsma , W. M. Gelbart

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

Structural changes in giant DNA induced by the addition of the flexible polymer PEG were examined by the method of single-DNA observation. In dilute DNA conditions, individual DNA assumes a compact state via a discrete coil-globule…

Soft Condensed Matter · Physics 2016-08-31 M. Kojima , K. Kuobo , K. Yoshikawa

The study of the noise induced effects on the dynamics of a chain molecule crossing a potential barrier, in the presence of a metastable state, is presented. A two-dimensional stochastic version of the Rouse model for a flexible polymer has…

Statistical Mechanics · Physics 2015-05-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

We consider the rupture dynamics of a homopolymer chain pulled at one end at a constant loading rate. Our model of the breakable polymer is related to the Rouse chain, with the only difference that the interaction between the monomers is…

Soft Condensed Matter · Physics 2009-10-29 S. Fugmann , I. M. Sokolov

Ring polymers exhibit unique flow properties due to their closed chain topology. Despite recent progress, we have not yet achieved a full understanding of the nonequilibrium flow behavior of rings in nondilute solutions where intermolecular…

Various authors have invoked discretized fractional Brownian (fBm) motion as a model for chain polymers with long range interaction of monomers along the chain. We show that for these, in contrast to the Brownian case, linear forces are…

Mathematical Physics · Physics 2019-07-24 Wolfgang Bock , Jinky Bornales , Ludwig Streit

Using Langevin Dynamic simulations, we study effects of the shear force on the rupture of a double stranded DNA molecule. The model studied here contains two single diblock copolymers interacting with each other. The elastic constants of…

Soft Condensed Matter · Physics 2015-07-02 R. K. Mishra , T. Modi , D. Giri , S. Kumar

Mixtures of polymers of varying topologies and stiffnesses display complex emergent rheological properties that often cannot be predicted from their single-component counterparts. For example, entangled blends of ring and linear polymers…

Soft Condensed Matter · Physics 2022-11-23 Karthik R. Peddireddy , Ryan Clairmont , Rae M. Robertson-Anderson

The two strands of the DNA double helix can be `unzipped' by application of 15 pN force. We analyze the dynamics of unzipping and rezipping, for the case where the molecule ends are separated and re-approached at constant velocity. For…

Soft Condensed Matter · Physics 2009-11-07 S. Cocco , R. Monasson , J. F. Marko

When pulled along its axis, double-stranded DNA elongates abruptly at a force of about 65 pN. Two physical pictures have been developed to describe this overstretched state. The first proposes that strong forces induce a phase transition to…

Statistical Mechanics · Physics 2015-06-25 Stephen Whitelam , Sander Pronk , Phillip L. Geissler