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The effect of sequence heterogeneity on polynucleotide translocation across a pore and on simple models of molecular motors such as helicases, DNA polymerase/exonuclease and RNA polymerase is studied in detail. Pore translocation of RNA or…

Statistical Mechanics · Physics 2009-11-10 Yariv Kafri , David K. Lubensky , David R. Nelson

We present Brownian dynamics simulations of the facilitated diffusion of a protein, modelled as a sphere with a binding site on its surface, along DNA, modelled as a semi-flexible polymer. We consider both the effect of DNA organisation in…

Biological Physics · Physics 2012-12-10 C. A. Brackley , M. E. Cates , D. Marenduzzo

Complementary DNA strands in solution reliably hybridize to form stable duplexes. We study the kinetics of the hybridization process and the mechanisms by which two initially isolated strands come together to form a stable double helix. We…

Biological Physics · Physics 2019-03-27 Raymond Jin , Lutz Maibaum

We introduce a coarse-grained rigid nucleotide model of DNA that reproduces the basic thermodynamics of short strands: duplex hybridization, single-stranded stacking and hairpin formation, and also captures the essential structural…

Soft Condensed Matter · Physics 2010-05-14 Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

We explore layered strongly correlated materials as a platform to identify and control unconventional heat transfer phenomena. We demonstrate that these systems can be tailored to sustain a wide spectrum of heat transport regimes, ranging…

Strongly Correlated Electrons · Physics 2021-11-29 Giacomo Mazza , Marco Gandolfi , Massimo Capone , Francesco Banfi , Claudio Giannetti

Dynamics of the polymorphic A<->B transitions in DNA is compared for two polypurine sequences, poly(dA).poly(dT) and poly(dG).poly(dC), long known to exhibit contrasting properties in experiments. In free molecular dynamics simulations…

Biomolecules · Quantitative Biology 2007-05-23 Alexey K. Mazur

Based on the direct method of molecular dynamics, the temperature dependence of energy, partition function, entropy and free energy, describing the first-order phase transition, is calculated for the classical Peyrard-Bishop-Dauxois model…

Statistical Mechanics · Physics 2024-05-16 Ilya V. Likhachev , Alexey S. Shigaev , Victor D. Lakhno

The temperature dependence of a charge mobility in a model DNA based on Holstein Hamiltonian is calculated for 4 types of homogeneous sequences It has turned out that upon rescaling all 4 types are quite similar. Two types of rescaling,…

Statistical Mechanics · Physics 2014-04-10 D. A. Tikhonov , N. S. Fialko , E. V. Sobolev , V. D. Lakhno

We propose a model for the photo-deactivation mechanism for DNA based upon accurate quantum chemical and molecular dynamical evaluations of model Watson/Crick nucleoside pairs and stacked pairs. Our results corroborate recent ultrafast…

Soft Condensed Matter · Physics 2008-11-06 Arkadiusz Czader , Eric R. Bittner

Phase separation is the thermodynamic process that explains how droplets form in multicomponent fluids. These droplets can provide controlled compartments to localize chemical reactions, and reactions can also affect the droplets' dynamics.…

Soft Condensed Matter · Physics 2022-09-02 David Zwicker

The competition between toroidal and rod-like conformations as possible ground states for DNA condensation is studied as a function of the stiffness, the length of the DNA and the form of the long-range interactions between neighboring…

A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a finer scale than the latter. The first order $\Gamma-$limit is proven to exhibit a separation of…

Analysis of PDEs · Mathematics 2023-05-11 Riccardo Cristoferi , Irene Fonseca , Likhit Ganedi

The flexibility of short DNA fragments is studied by a Hamiltonian model which treats the inter-strand and intra-strand forces at the level of the base pair. The elastic response of a set of homogeneous helices to externally applied forces…

Biomolecules · Quantitative Biology 2016-06-30 Marco Zoli

We consider the context of molecular motors modelled by a diffusion process driven by the gradient of a weakly periodic potential that depends on an internal degree of freedom. The switch of the internal state, that can freely be…

Probability · Mathematics 2024-02-02 Serena Della Corte , Richard C. Kraaij

By resorting to a model inspired to the standard Davydov and Holstein-Fr\"ohlich models, in the present paper we study the motion of an electron along a chain of heavy particles modelling a sequence of nucleotides proper to a DNA fragment.…

Biological Physics · Physics 2021-08-17 Elham Faraji , Roberto Franzosi , Stefano Mancini , Marco Pettini

We study pairs of interacting self-avoiding walks on the 3d simple cubic lattice. They have a common origin and are allowed to overlap only at the same monomer position along the chain. The latter overlaps are indeed favored by an energetic…

Soft Condensed Matter · Physics 2009-10-31 Maria Serena Causo , Barbara Coluzzi , Peter Grassberger

We apply a recently-developed coarse-grained model of DNA, designed to capture the basic physics of nanotechnological DNA systems, to the study of a `burnt-bridges' DNA motor consisting of a single-stranded cargo that steps processively…

Biological Physics · Physics 2014-11-14 Petr Šulc , Thomas E. Ouldridge , Flavio Romano , Jonathan P. K. Doye , Ard A. Louis

Recent theoretical predictions on DNA mechanical separation induced by pulling forces are numerically tested within a model in which self-avoidance for DNA strands is fully taken into account. DNA strands are described by interacting pairs…

Statistical Mechanics · Physics 2009-11-07 Enzo Orlandini , Somendra M. Bhattacharjee , Davide Marenduzzo , Amos Maritan , Flavio Seno

DNA-coated particles are promising as building blocks for functional and finite-sized assemblies because they can be programmed with orthogonal interactions owing to the sequence-specific hybridization of DNA strands. To fully exploit this…

Soft Condensed Matter · Physics 2026-04-17 T. C. M. Stevens , A. van der Sluis , I. K. Voets , P. G. Moerman

Patchy particles have received great attention due to their ability to develop directional and selective interactions and serve as building units for the self-assembly of innovative colloidal molecules and crystalline structures. Although…

Soft Condensed Matter · Physics 2023-01-16 Rawan Khalaf , Andrea Viamonte , Etienne Ducrot , Rémi Mérindol , Serge Ravaine