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We present a model, based on symmetry and geometry, for proteins. Using elementary ideas from mathematics and physics, we derive the geometries of discrete helices and sheets. We postulate a compatible solvent-mediated emergent pairwise…

Soft Condensed Matter · Physics 2023-06-21 Jayanth R. Banavar , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Tatjana Škrbić

While the thermodynamics of DNA hybridization is well understood, much less is known about the kinetics of this classic system. Filling this gap in our understanding has new urgency because DNA nanotechnology often depends critically on…

Soft Condensed Matter · Physics 2013-10-28 Thomas E. Ouldridge , Petr Šulc , Flavio Romano , Jonathan P. K. Doye , Ard A. Louis

A simple model for the force-dependent unwinding and rewinding rates of the nucleosome inner turn is constructed and quantitatively compared to the results of recent measurements [A. H. Mack et al., J. Mol. Biol. 423, 687 (2012)]. First, a…

Biomolecules · Quantitative Biology 2015-06-11 S. G. J. Mochrie , A. H. Mack , D. J. Schlingman , R. Collins , M. Kamenetska , L. Regan

Novel mathematical models of three different repressilator topologies are introduced. As designable transcription factors have been shown to bind to DNA non-cooperatively, we have chosen models containing non-cooperative elements. The…

Dynamical Systems · Mathematics 2018-09-25 Masa Dukaric , Hassan Errami , Roman Jerala , Tina Lebar , Valery G. Romanovski , Janos Toth , Andreas Weber

A closed 3-manifold $M$ may be described up to some indeterminacy by a Heegaard diagram $\mathcal{D}$. The question "Does $M$ smoothly embed in $\mathbb{R}^4$?'' is equivalent to a property of $\mathcal{D}$ which we call $\textit{doubly…

Geometric Topology · Mathematics 2024-09-17 Michael H. Freedman

In the course of various biological processes, specific DNA-binding proteins must find a particular target sequence/protein or a damaged site on the DNA efficiently. DNA-binding proteins perform this task based on diffusion. Yet,…

Biological Physics · Physics 2021-02-24 Seongyu Park , O-chul Lee , Xavier Durang , Jae-Hyung Jeon

The design of hydrogels that combine mechanical robustness with dynamic reconfigurability remains a fundamental challenge, as increasing crosslink dissociation rates compromise network integrity. This limitation is addressed through the…

Soft Condensed Matter · Physics 2025-08-28 Pierre Le Bourdonnec , Charafeddine Ferkous , Leo Communal , Luca Cipelletti , Rémi Merindol

Antiferromagnetic intermetallic compound EuRhGe3 crystalizes in a non-centrosymmetric BaNiSn3-type (I4mm) structure. We studied its pressure-dependent crystal structure by using synchrotron powder x-ray diffraction at room temperature. Our…

The sequence-dependent elasticity of double-helical DNA on a nm length scale can be captured by the rigid base-pair model, whose strains are the relative position and orientation of adjacent base-pairs. Corresponding elastic potentials have…

Biomolecules · Quantitative Biology 2013-05-29 Nils B. Becker , Ralf Everaers

How type 2 Topoisomerase (TopoII) proteins relax and simplify the topology of DNA molecules is one of the most intriguing open questions in biophysics. Most of the existing models neglect the dynamics of TopoII which is characteristics for…

Soft Condensed Matter · Physics 2022-04-01 Davide Michieletto , Yair Fosado , Elias Melas , Marco Baiesi , Luca Tubiana , Enzo Orlandini

The formation of ordered phases of dimethyl-disulfide on the Au(111) surface has been investigated by means of Low-Energy Electron Diffraction (LEED), X-ray Photoemission Spectroscopy (XPS), and state-of-the-art Density Functional Theory…

Condensed Matter · Physics 2007-05-23 V. De Renzi , D. Marchetto , R. Biagi , U. del Pennino , R. Di Felice , A. Selloni

The strength of the spin-orbit interaction relevant to transport in a low dimensional structure depends critically on the relative geometrical arrangement of current carrying orbitals. Recent tight-binding orbital models for spin transport…

Mesoscale and Nanoscale Physics · Physics 2017-10-20 Solmar Varela , Vladimiro Mujica , Ernesto Medina

Structure optimization, which yields the relaxed structure (minimum-energy state), is essential for reliable materials property calculations, yet traditional ab initio approaches such as density-functional theory (DFT) are computationally…

Materials Science · Physics 2025-11-18 Ziduo Yang , Yi-Ming Zhao , Xian Wang , Wei Zhuo , Xiaoqing Liu , Lei Shen

The flexibility of short DNA chains is investigated via computation of the average correlation function between dimers which defines the persistence length. Path integration techniques have been applied to confine the phase space available…

Soft Condensed Matter · Physics 2018-10-19 Marco Zoli

We investigate the unfolding pathway of a cytosine-rich DNA hairpin structure via Molecular Dynamics simulations. Our results indicate a hidden complexity present in the unfolding process. W e show that this complex behavior arises due to…

Soft Condensed Matter · Physics 2011-09-27 Jens Smiatek , Daniel Janssen-Mueller , Rudolf Friedrich , Andreas Heuer

Molecular docking, a key technique in structure-based drug design, plays pivotal roles in protein-ligand interaction modeling, hit identification and optimization, in which accurate prediction of protein-ligand binding mode is essential.…

Biomolecules · Quantitative Biology 2023-12-20 Jintao Zhu , Zhonghui Gu , Jianfeng Pei , Luhua Lai

The interplay between bending of the molecule axis and appearance of disruptions in circular DNA molecules, with $\sim 100$ base pairs, is addressed. Three minicircles with different radii and almost equal content of AT and GC pairs are…

Soft Condensed Matter · Physics 2014-06-03 Marco Zoli

Nanochannels provide means for detailed experiments on the effect of confinement on biomacromolecules, such as DNA. We here introduce a model for the complete unfolding of DNA from the circular to linear configuration. Two main ingredients…

DNA adsorption on solid or liquid surfaces is a topic of broad fundamental and applied interest. Here we study by x-ray reflectivity the adsorption of monodisperse double-stranded DNA molecules a positively-charged surface, obtained through…

Soft Condensed Matter · Physics 2008-09-29 Carine Douarche , Robert Cortès , Steven J. Roser , Jean-Louis Sikorav , Alan Braslau

We explore the possibility for the native state of a protein being inherently a multi-conformation state in an ab initio coarse-grained model. Based on the Wang-Landau algorithm, the complete free energy landscape for the designed sequence…

Soft Condensed Matter · Physics 2015-06-03 Chun-Yu Lin , Nan-Yow Chen , Chung-Yu Mou