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One of the central problems in epigenetics is how epigenetic modification patterns and chromatin structure are regulated in the cell nucleus. The polymer Potts model, a recently studied model of chromatins, is introduced with an offset in…

Soft Condensed Matter · Physics 2025-05-13 Ryo Nakanishi , Koji Hukushima

By means of a minimal physical model, we investigate the interplay of two phase transitions at play in chromatin organization: (1) liquid-liquid phase separation (LLPS) within the fluid solvating chromatin, resulting in the formation of…

Biological Physics · Physics 2024-09-24 Reda Tiani , Marie Jardat , Vincent Dahirel

The genetic instructions stored in the genome require an additional layer of information to robustly determine cell fate. This additional regulation is provided by the interplay between chromosome-patterning biochemical ("epigenetic") marks…

Soft Condensed Matter · Physics 2019-12-04 Davide Coli , Davide Michieletto , Davide Marenduzzo , Enzo Orlandini

Chromatin and associated proteins constitute the highly folded structure of chromosomes. We consider a self-avoiding polymer model of the chromatin, segments of which may get cross-linked via protein binders that repel each other. The…

Soft Condensed Matter · Physics 2019-06-13 Amit Kumar , Debasish Chaudhuri

Magnetic polymers are examples of composite soft materials in which the competition between the large configurational entropy of the soft substrate (polymer) and the magnetic interaction may give rise to rich equilibrium phase diagrams as…

Soft Condensed Matter · Physics 2025-03-10 Alberto Raiola , Emanuele Locatelli , Davide Marenduzzo , and Enzo Orlandini

One of the most important problems in development is how epigenetic domains can be first established, and then maintained, within cells. To address this question, we propose a framework which couples 3D chromatin folding dynamics, to a…

Soft Condensed Matter · Physics 2016-10-25 Davide Michieletto , Enzo Orlandini , Davide Marenduzzo

By observing reconstituted chromatin by fluorescence microscopy (FM) and atomic force microscopy (AFM), we found that the density of nucleosomes exhibits a bimodal profile, i.e., there is a large transition between the dense and dispersed…

Subcellular Processes · Quantitative Biology 2015-06-26 Tonau Nakai , Kohji Hizume , Shige. H. Yoshimura , Kunio Takeyasu , Kenichi Yoshikawa

Epigenetics is a driving force of important and ubiquitous phenomena in nature such as cell differentiation or even metamorphosis. Oppositely to its widespread role, understanding the biophysical principles that allow epigenetics to control…

Soft Condensed Matter · Physics 2020-01-08 Davide Colì , Davide Michieletto , Davide Marenduzzo , Enzo Orlandini

Spin systems exposed to the influence of random magnetic fields are paradigmatic examples for studying the effect of quenched disorder on condensed-matter systems. In this context, previous studies have almost exclusively focused on systems…

Statistical Mechanics · Physics 2025-04-08 Manoj Kumar , Martin Weigel

Strongly correlated materials often undergo a Mott metal-insulator transition, which is tipically first-order, as a function of control parameters like pressure. Upon doping, rich phase diagrams with competing instabilities are found. Yet,…

We discover a new type of nonequilibrium phase transition in a model of chromatin dynamics, which accounts for the coherent motions that have been observed in experiment. The coherent motion is due to the long-range cooperation of molecular…

Soft Condensed Matter · Physics 2023-07-27 Iraj Eshghi , Alexanda Zidovska , Alexander Y. Grosberg

We study a model of two-dimensional interacting monomers which has two symmetric absorbing states and exhibits two kinds of phase transition; one is an order-disorder transition and the other is an absorbing phase transition. Our focus is…

Statistical Mechanics · Physics 2012-05-01 Su-Chan Park

Recent high resolution experiments have provided a quantitative description of the statistical properties of interphase chromatin at large scales. These findings have stimulated a search for generic physical interactions that give rise to…

Biological Physics · Physics 2015-10-15 N. Ramakrishnan , Kripa Gowrishankar , Lakshmi Kuttippurathu , P. B. Sunil Kumar , Madan Rao

Polymers with active segments constitute prospective future materials and are used as a model for some biological systems such as chromatin. The directions of the active forces are typically introduced with temporal or spatial correlations…

Soft Condensed Matter · Physics 2024-11-25 Adam H. T. P. Höfler , Iurii Chubak , Christos N. Likos , Jan Smrek

How long threadlike eukaryotic chromosomes fit tidily in the small volume of the nucleus without significant entanglement is just beginning to be understood, thanks to major advances in experimental techniques. Several polymer models, which…

Soft Condensed Matter · Physics 2024-10-03 D. Thirumalai , Guang Shi , Sucheol Shin , Changbong Hyeon

A Markov state model is a powerful tool that can be used to track the evolution of populations of configurations in an atomistic representation of a protein. For a coarse-grained linear chain model with discontinuous interactions, the…

Soft Condensed Matter · Physics 2024-02-06 Margarita Colberg , Jeremy Schofield

Using Brownian Dynamics, we study the dynamical behavior of a polymer grafted onto an adhesive surface close to the mechanically induced adsorption-stretching transition. Even though the transition is first order, (in the infinite chain…

We perform simulations of a system containing simple model proteins and a polymer representing chromatin. We study the interplay between protein-protein and protein-chromatin interactions, and the resulting condensates which arise due to…

Soft Condensed Matter · Physics 2022-07-20 Marco Ancona , Chris A. Brackley

Polymer models are used to describe chromatin, which can be folded at different spatial scales by binding molecules. By folding, chromatin generates loops of various sizes. We present here a randomly cross-linked (RCL) polymer model, where…

Soft Condensed Matter · Physics 2017-05-12 Ofir Shukron , David Holcman

We consider disordered models of pinning of directed polymers on a defect line, including (1+1)-dimensional interface wetting models, disordered Poland--Scheraga models of DNA denaturation and other (1+d)-dimensional polymers in interaction…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Giacomin , F. L. Toninelli
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