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We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

The cellular cytoplasm is organized into compartments. Phase separation is a simple manner to create membrane-less compartments in order to confine and localize particles like proteins. In many cases these particles are bound to fluctuating…

Statistical Mechanics · Physics 2020-09-16 G. David , J. -C. Walter , C. P. Broedersz , J. Dorignac , F. Geniet , A. Parmeggiani , N. -O. Walliser , J. Palmeri

DNA melting and hybridization is a fundamental biological process as well as a crucial step in many modern biotechnology applications. DNA confined on surfaces exhibits different behavior from that in free solutions. The system of…

Biological Physics · Physics 2007-05-23 Y. Sun , N. C. Harris , C. -H. Kiang

A theory of the unzipping of double-stranded (ds) DNA is presented, and is compared to recent micromanipulation experiments. It is shown that the interactions which stabilize the double helix and the elastic rigidity of single strands (ss)…

Statistical Mechanics · Physics 2009-11-07 S. Cocco , R. Monasson , J. Marko

We examine the behavior of a model which describes the melting of double-stranded DNA chains. The model, with displacement-dependent stiffness constants and a Morse on-site potential, is analyzed numerically; depending on the stiffness…

Statistical Mechanics · Physics 2009-10-31 Nikos Theodorakopoulos , Thierry Dauxois , Michel Peyrard

The distance distribution between complementary base pairs of the two strands of a DNA molecule is studied near the melting transition. Scaling arguments are presented for a generalized Poland-Scheraga type model which includes…

Statistical Mechanics · Physics 2009-11-07 M. Baiesi , E. Carlon , Y. Kafri , D. Mukamel , E. Orlandini , A. L. Stella

The melting phase diagram of a double-stranded DNA in poor solvent is studied using the pruned and enriched Rosenbluth method on a simple cubic lattice. As the solvent quality is changed from good to poor, there is a non-monotonic change in…

Soft Condensed Matter · Physics 2023-06-21 Debjyoti Majumdar

The paper deals with the two-state (opening-closing of base pairs) model used to describe the fluctuation dynamics of a single bubble formation. We present an exact solution for the discrete and finite size version of the model that…

Soft Condensed Matter · Physics 2009-11-10 D. J. Bicout , E. Kats

We apply the cell merging method to a model shallow water problem with a permeable boundary. We use a cut cell approach which is more easily and systematically scalable with different shapes of boundaries. The novel cell merging method…

Numerical Analysis · Mathematics 2021-12-20 Chanyang Ryoo , Kyle Mandli

We have studied the separation of a double stranded DNA (dsDNA), which is driven either by the temperature or force. By monitoring the probability of opening of entire base pairs along the chain, we show that the opening of a dsDNA depends…

Soft Condensed Matter · Physics 2011-05-03 Shikha Srivastava , Navin Singh

This review focuses on the force-induced unzipping transition of double-stranded DNA. It begins with a brief history of DNA melting, which emerged alongside the growth of the field of molecular biology, juxtaposed with the advancements in…

Soft Condensed Matter · Physics 2025-09-16 Somendra M. Bhattacharjee

Statistical DNA models available in the literature are often effective models where the base-pair state only (unbroken or broken) is considered. Because of a decrease by a factor of 30 of the effective bending rigidity of a sequence of…

Soft Condensed Matter · Physics 2008-01-28 John Palmeri , Manoel Manghi , Nicolas Destainville

Standard DNA melting curves record the separation of the two strands versus temperature, but they do not provide any information on the location of the opening. We introduce an experimental method which adds a new dimension to the melting…

Statistical Mechanics · Physics 2009-10-25 Santiago Cuesta-Lopez , Dimitar Angelov , Michel Peyrard

The stability of DNA molecule during the encapsulation process is a topic of intense research. We study the thermal stability of the double-stranded DNA molecule of different lengths in a confined space. Using a statistical model we…

Soft Condensed Matter · Physics 2020-02-04 Arghya Maity , Navin Singh

We propose a statistical mechanics model for DNA melting in which base stacking and pairing are explicitly introduced as distinct degrees of freedom. Unlike previous approaches, this model describes thermal denaturation of DNA secondary…

Statistical Mechanics · Physics 2007-05-23 Vassili Ivanov , Yan Zeng , Giovanni Zocchi

We develop a simple model to study the effects of an applied force on the melting of a double stranded DNA (dsDNA). Using this model, we could study the stretching, unzipping, rupture and slippage like transition in a dsDNA. We show that in…

Soft Condensed Matter · Physics 2015-05-14 Amit Raj Singh , D. Giri , S. Kumar

We explore the role of an intermediate state (phase) in homogeneous nucleation phenomenon by examining the decay process through a doubly-humped potential barrier. As a generic model we use the fourth- and sixth-order Landau potentials and…

Statistical Mechanics · Physics 2015-06-25 Takaaki Monnai , Ayumu Sugita , Katsuhiro Nakamura

We studied the unzipping kinetics of single molecules of double-stranded DNA by pulling one of their two strands through a narrow protein pore. PCR analysis yielded the first direct proof of DNA unzipping in such a system. The time to unzip…

Soft Condensed Matter · Physics 2009-11-07 Alexis F. Sauer-Budge , Jacqueline A. Nyamwanda , David K. Lubensky , Daniel Branton

A potential model to describe the total cross section of nuclear fusion reactions at low energies is proposed. It is shown that within an approach with a simple, single barrier potential a satisfactory description of data is hindered, while…

Nuclear Theory · Physics 2010-12-17 V. M. Shilov

DNA-functionalized particles have great potential for the design of complex self-assembled materials. The major hurdle in realizing crystal structures from DNA-functionalized particles is expected to be kinetic barriers that trap the system…

Soft Condensed Matter · Physics 2015-03-06 Yajun Ding , Jeetain Mittal