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We present a braided circuit topology framework for investigating topology and structural phase transitions in aggregates of semiflexible polymers. In the conventional approach to circuit topology, which specifically applies to single…

Soft Condensed Matter · Physics 2024-02-27 Jonas Berx , Alireza Mashaghi

Lattice-model simulations and experiments of some small proteins suggest that folding is essentially controlled by a few conserved contacts. Residues of these conserved contacts form the minimum set of native contacts needed to ensure…

Biomolecules · Quantitative Biology 2011-09-14 Wei-Mou Zheng , Hui Zeng , Dong-Bo Bu , Ming-Fu Shao , Ke-Song Liu , Chao Wang

During the eukaryotic cell cycle, chromatin undergoes several conformational changes, which are believed to play key roles in gene expression regulation during interphase, and in genome replication and division during mitosis. In this…

Subcellular Processes · Quantitative Biology 2007-09-03 Julien Mozziconacci , Christophe Lavelle , Maria Barbi , Annick Lesne , Jean-Marc Victor

We present Monte-Carlo (MC) simulations of the stretching of a single 30 nm chromatin fiber. The model approximates the DNA by a flexible polymer chain with Debye-H\"uckel electrostatics and uses a two-angle zig-zag model for the geometry…

Biomolecules · Quantitative Biology 2007-05-23 Frank Aumann , Filip Lankas , Maiwen Caudron , Jörg Langowski

Current models for the folding of the human genome see a hierarchy stretching down from chromosome territories, through A/B compartments and TADs (topologically-associating domains), to contact domains stabilized by cohesin and CTCF.…

Biological Physics · Physics 2020-10-02 Peter R. Cook , Davide Marenduzzo

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

Although both RNA and proteins have densely packed native structures, chain organizations of these two biopolymers are fundamentally different. Motivated by the recent discoveries in chromatin folding that interphase chromosomes have…

Soft Condensed Matter · Physics 2016-12-28 Lei Liu , Changbong Hyeon

A coarse-grained variational model is used to investigate the polymer dynamics of barrier crossing for a diverse set of two-state folding proteins. The model gives reliable folding rate predictions provided excluded volume terms that induce…

Biomolecules · Quantitative Biology 2009-11-13 Xianghong Qi , John J. Portman

A prominent organizational feature of bacterial chromosomes was revealed by Hi-C experiments, indicating anomalously high contacts between the left and right chromosomal arms. These long-range contacts have been attributed to various…

Biological Physics · Physics 2018-10-11 Christiaan A. Miermans , Chase P. Broedersz

One-dimensional arrays of nucleosomes (DNA-bound histone octamers separated by stretches of linker DNA) fold into higher-order chromatin structures which ultimately make up eukaryotic chromosomes. Chromatin structure formation leads to…

Genomics · Quantitative Biology 2012-06-21 Răzvan V. Chereji , Denis Tolkunov , George Locke , Alexandre V. Morozov

Motivated by the problem of domain formation in chromosomes, we studied a co--polymer model where only a subset of the monomers feel attractive interactions. These monomers are displaced randomly from a regularly-spaced pattern, thus…

Biomolecules · Quantitative Biology 2018-02-13 Matteo Negri , Marco Gherardi , Guido Tiana , Marco Cosentino Lagomarsino

Molecular dynamics simulation methods are used to study the folding of polymer chains into packed cubic states. The polymer model, based on a chain of linked sites moving in the continuum, includes both excluded volume and torsional…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

Experimental approaches have been applied to address questions in understanding three-dimensional chromatin organisation and function. As datasets increase in size and complexity, it becomes a challenge to reach a mechanistic interpretation…

Biological Physics · Physics 2020-10-14 Chris A. Brackley , Davide Marenduzzo , Nick Gilbert

Vitrimers are a class of crosslinked polymer that are capable of undergoing bond exchange reactions, allowing structural reorganization while maintaining overall network integrity. Two key features that are particularly relevant when this…

Soft Condensed Matter · Physics 2025-09-09 Abhishek S. Chankapure , Rahul Karmakar , Srikanth Sastry , Sanat K. Kumar , Tarak K. Patra

The three-dimensional organization of chromatin is thought to play an important role in controlling gene expression. Specificity in expression is achieved through the interaction of transcription factors and other nuclear proteins with…

Biological Physics · Physics 2025-07-22 Mason N. Rouches , Benjamin B. Machta

Essential life processes take place across multiple space and time scales in living organisms but understanding their mechanistic interactions remains an ongoing challenge. Advanced multiscale modeling techniques are providing new…

Molecular Networks · Quantitative Biology 2025-04-08 Achal Mahajan , Erik J. Navarro , William Poole , Carlos F Lopez

While most chemical bonds weaken under the action of mechanical force (called slip bond behavior), nature has developed bonds that do the opposite: their lifetime increases as force is applied. While such catch bonds have been studied quite…

Soft Condensed Matter · Physics 2023-03-29 José Ruiz-Franco , Justin Tauber , Jasper van der Gucht

The principles underlying protein folding remains one of Nature's puzzles with important practical consequences for Life. An approach that has gathered momentum since the late 1990's, looks at protein hetero-polymers and their folding…

Computational Engineering, Finance, and Science · Computer Science 2011-10-05 Susan Khor

We present a computer simulation study of the compact self-avoiding loops as regards their length and topological state. We use a Hamiltonian closed path on the cubic-shaped segment of a 3D cubic lattice as a model of a compact polymer. The…

Soft Condensed Matter · Physics 2007-05-23 R. C. Lua , N. T. Moore , A. Yu. Grosberg