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DNA looping is important in DNA condensation and regulation. One method for forming a DNA loop, thought to be used by the condensing agent protamine, is bind-and-bend. In bind-and-bend, molecules bind all along the DNA, each creating a bend…

Biological Physics · Physics 2023-11-06 Michael Liaofan Liu , Daniel W. Oo , Ryan B. McMillan , Ashley R. Carter

Collective coordinate and direct numerical integration methods are applied to the analysis of a one-dimensional DNA model. A modification of the coupling constant in an extended region is found to be less selective towards the breather it…

Condensed Matter · Physics 2009-10-28 Julian J. -L. Ting , Michel Peyrard

Computing equilibrium concentrations of molecular complexes is generally analytically intractable and requires numerical approaches. In this work we focus on the polymer-monomer level, where indivisible molecules (monomers) combine to form…

Data Structures and Algorithms · Computer Science 2025-08-25 Hamidreza Akef , Minki Hhan , David Soloveichik

Complex DNA topological structures, including polymer loops, are frequently observed in biological processes when protein molecules simultaneously bind to several distant sites on DNA. However, the molecular mechanisms of formation of these…

Soft Condensed Matter · Physics 2019-11-12 Jaeoh Shin , Anatoly B. Kolomeisky

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 thermodynamic properties of DNA circular molecules are investigated by a new path integral computational method which treats in the real space the fundamental forces stabilizing the molecule. The base pair and stacking contributions to…

Soft Condensed Matter · Physics 2014-11-11 Marco Zoli

Cells regulate gene expression in part by forming DNA-protein condensates in the nucleus. While existing theories describe the equilibrium size and stability of such condensates, their dynamics remain less understood. Here, we use…

Soft Condensed Matter · Physics 2025-12-22 Adam R. Lamson , Mohammadhossein Firouznia , Michael J. Shelley

A central goal of protein-folding theory is to predict the stochastic dynamics of transition paths --- the rare trajectories that transit between the folded and unfolded ensembles --- using only thermodynamic information, such as a…

Biomolecules · Quantitative Biology 2018-08-09 William M. Jacobs , Eugene I. Shakhnovich

Much of the complexity observed in gene regulation originates from cooperative protein-DNA binding. While studies of the target search of proteins for their specific binding sites on the DNA have revealed design principles for the…

Biomolecules · Quantitative Biology 2015-05-30 Nico Geisel , Ulrich Gerland

We have managed to correlate the stability constants of complex formation, which can be registered in equilibrium state, to the dynamic characteristic of the complex lifetime. Thus, the principal concept of molecular biophysics regarding…

Active (catalysed) and passive (intrinsic) nucleosome repositioning is known to be a crucial event during the transcriptional activation of certain eucaryotic genes. Here we consider theoretically the intrinsic mechanism and study in detail…

Biological Physics · Physics 2009-11-07 I. M. Kulic , H. Schiessel

For most of the important processes in DNA metabolism, a protein has to reach a specific binding site on the DNA. The specific binding site may consist of just a few base pairs while the DNA is usually several millions of base pairs long.…

Statistical Mechanics · Physics 2010-01-10 Debanjan Chowdhury

We study the dynamics of DNA hairpin formation using oxDNA, a nucleotide-level coarse-grained model of DNA. In particular, we explore the effects of the loop stacking interactions and non-native base pairing on the hairpin closing times. We…

Biological Physics · Physics 2014-12-12 Majid Mosayebi , Flavio Romano , Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

We discuss the thermodynamic behaviour near the force induced unzipping transition of a double stranded DNA in two different ensembles. The Y-fork is identified as the coexisting phases in the fixed distance ensemble. From finite size…

Soft Condensed Matter · Physics 2007-05-23 Rajeev Kapri , Somendra M. Bhattacharjee

From a nanoscience perspective, cellular processes and their reduced in vitro imitations provide extraordinary examples for highly robust few or single molecule reaction pathways. A prime example are biochemical reactions involving DNA…

Biological Physics · Physics 2007-05-23 Ralf Metzler , Tobias Ambjoernsson , Andreas Hanke , Yongli Zhang , Stephen Levene

The biological functions of proteins often depend on dynamic structural ensembles. In this work, we develop a flow-based generative modeling approach for learning and sampling the conformational landscapes of proteins. We repurpose highly…

Biomolecules · Quantitative Biology 2024-09-04 Bowen Jing , Bonnie Berger , Tommi Jaakkola

We report studies of the equilibrium and the dynamics of a general set of lattice models which capture the essence of the force-induced or mechanical DNA unzipping transition. Besides yielding the whole equilibrium phase diagram in the…

Soft Condensed Matter · Physics 2009-11-07 D. Marenduzzo , S. M. Bhattacharjee , A. Maritan , E. Orlandini , F. Seno

Loop formation in long molecules occurs many places in nature, from solutions of carbon nanotubes to polymers inside a cell. In this article, we review theoretical studies of the static and dynamic properties of polymer loops. For example,…

Biological Physics · Physics 2007-05-23 Suckjoon Jun , John Bechhoefer

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

Soft Condensed Matter · Physics 2010-10-19 Pragya Shukla

The dynamics of loops at the DNA denaturation transition is studied. A scaling argument is used to evaluate the asymptotic behavior of the autocorrelation function of the state of complementary bases (either open or closed). The long-time…

Statistical Mechanics · Physics 2008-07-03 Amir Bar , Yariv Kafri , David Mukamel