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We present a nonlinear dynamical model for DNA thermal denaturation, which is based on the finite stacking enthalpies used in thermodynamical nearest-neighbour calculations. Within this model, the finiteness of stacking enthalpies is shown…

Biological Physics · Physics 2007-05-23 Marc Joyeux , Sahin Buyukdagli

We study the static and dynamical properties of DNA in the vicinity of its melting transition, i.e. the separation of the two strands upon heating. The investigation is based on a simple mechanical model which includes the helicoidal…

Statistical Mechanics · Physics 2007-06-19 Maria Barbi , Stefano Lepri , Michel Peyrard , Nikos Theodorakopoulos

We recently proposed a dynamical mesoscopic model for DNA, which is based, like statistical ones, on site-dependent finite stacking and pairing enthalpies. In the present article, we first describe how the parameters of this model are…

Biological Physics · Physics 2009-01-14 Marc Joyeux , Ana-Maria Florescu

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 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

Models for RNA secondary structures (the topology of folded RNA) without pseudo knots are disordered systems with a complex state-space below a critical temperature. Hence, a complex dynamical (glassy) behavior can be expected, when…

Disordered Systems and Neural Networks · Physics 2008-02-02 S. Wolfsheimer , B. Burghardt , A. Mann , A. K. Hartmann

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

We discuss the physics of RNA as described by its secondary structure. We examine the static properties of a homogeneous RNA-model that includes pairing and base stacking energies as well as entropic costs for internal loops. For large…

Statistical Mechanics · Physics 2009-11-07 M. Mueller

DNA is an astonishing material that can be used as a molecular building block to construct periodic arrays and devices with nanoscale accuracy and precision. Here, we present simple bead-spring model of DNA nanostars having three, four and…

Soft Condensed Matter · Physics 2021-10-22 Supriyo Naskar , Dhiraj Bhatia , Shiang-Tai Lin , Prabal K. Maiti

DNA has a well-defined structural transition -- the denaturation of its double-stranded form into two single strands -- that strongly affects its thermal transport properties. We show that, according to a widely implemented model for DNA…

Soft Condensed Matter · Physics 2013-02-12 Chih-Chun Chien , Kirill A. Velizhanin , Yonatan Dubi , Michael Zwolak

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 computational modelling of DNA is becoming crucial in light of new advances in DNA nanotechnology, single-molecule experiments and in vivo DNA tampering. Here we present a mesoscopic model for double stranded DNA (dsDNA) at the single…

Soft Condensed Matter · Physics 2025-02-03 Y. A. G. Fosado , D. Michieletto , J. Allan , C. Brackley , O. Henrich , D. Marenduzzo

RNA forms elaborate secondary structures through intramolecular base pairing. These structures perform critical biological functions within each cell. Due to the availability of a polynomial algorithm to calculate the partition function…

Biomolecules · Quantitative Biology 2019-03-04 William D. Baez , Kay Jörg Wiese , Ralf Bundschuh

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

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

We propose a nonlinear model derived from first principles, to describe bubble dynamics of DNA. Our model equations include a term derived from the dissipative effect of intermolecular vibrational modes. Such modes are excited by the…

Soft Condensed Matter · Physics 2007-05-23 Natalia Komarova , Avy Soffer

Complementary strands in DNA double helix show temporary fluctuational openings which are essential to biological functions such as transcription and replication of the genetic information. Such large amplitude fluctuations, known as the…

Biological Physics · Physics 2013-02-12 Marco Zoli

A mesoscopic model for heterogeneous DNA denaturation is developed in the framework of the path integral formalism. The base pair stretchings are treated as one-dimensional, time dependent paths contributing to the partition function. The…

Soft Condensed Matter · Physics 2011-07-12 Marco Zoli

The statistical physics of homogeneous DNA is investigated by the imaginary time path integral formalism. The base pair stretchings are described by an ensemble of paths selected through a macroscopic constraint, the fulfillement of the…

Statistical Mechanics · Physics 2009-04-30 Marco Zoli

The approach for the description of the DNA conformational transformations on the mesoscopic scales in the frame of the double helix is presented. Due to consideration of the joint motions of DNA structural elements along the conformational…

Biomolecules · Quantitative Biology 2009-09-29 S. N. Volkov
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