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Topologically constrained genome-like polymers often double-fold into tree-like configurations, which can be modelled on the level of folded (ring) polymers or on the level of the underlying random trees. For both descriptions, we have…

Soft Condensed Matter · Physics 2026-05-19 Pieter H. W. van der Hoek , Angelo Rosa , Elham Ghobadpour , Ralf Everaers

Here, we provide an overview of theoretical approaches to semiflexible polymers and their networks. Such semiflexible polymers have large bending rigidities that can compete with the entropic tendency of a chain to crumple up into a random…

Soft Condensed Matter · Physics 2016-05-25 Chase P. Broedersz , Fred. C. MacKintosh

Cooperativity is a hallmark of proteins, many of which show a modular architecture comprising discrete structural domains. Detecting and describing dynamic couplings between structural regions is difficult in view of the many-body nature of…

Biological Physics · Physics 2015-02-03 Olga Kononova , Lee Jones , Valeri Barsegov

The phase behaviour of a single large semiflexible polymer immersed in a suspension of spherical particles is studied. All interactions are simple excluded volume interactions and the diameter of the spherical particles is an order of…

Soft Condensed Matter · Physics 2009-10-30 Richard P. Sear

We consider multi-chain protein native structures and propose a criterion that determines whether two chains in the system are entangled or not. The criterion is based on the behavior observed by pulling at both temini of each chain…

Biomolecules · Quantitative Biology 2017-07-19 Yani Zhao , Mateusz Chwastyk , Marek Cieplak

The biological function of protein assemblies was conventionally equated with a unique three-dimensional protein structure and protein-specific interactions. However, in the past 20 years it was found that some assemblies contain long…

We use a coarse-grained molecular model to study the self-assembly process of complexes of cationic and neutral lipids with DNA molecules ("lipoplexes") - a promising nonviral carrier of DNA for gene therapy. We identify the resulting…

Soft Condensed Matter · Physics 2011-05-31 Oded Farago , Niels Grønbech-Jensen

Polymer composites are ideal candidates for next generation biomimetic soft materials because of their exquisite bottom-up designability. However, the richness of behaviours comes at a price: the need for precise and extensive…

Soft Condensed Matter · Physics 2019-07-30 Davide Michieletto , Robert Fitzpatrick , Rae M Robertson-Anderson

The activities and interactions of proteins that govern the cellular response to a signal generate a multitude of protein phosphorylation states and heterogeneous protein complexes. Here, using a computational model that accounts for 307…

Molecular Networks · Quantitative Biology 2007-05-23 James R. Faeder , Michael L. Blinov , Byron Goldstein , William S. Hlavacek

This document presents a combinatorial framework for analyzing assembly systems using generating functions. We explore the theory through concrete examples, such as linear polymers, and develop recursive equations to characterize valid…

Combinatorics · Mathematics 2025-01-22 Andrés Ortiz-Muñoz

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

Molecular dynamics simulations were performed for a polymer melt. In quiescent states, the inter-chain interaction energy supported by each particle takes relatively large values persistently for long times if the particle is close to an…

Soft Condensed Matter · Physics 2007-05-23 Ryoichi Yamamoto , Akira Onuki

We present a simple yet generic model for the behavior of a system of many surface-attached flexible polymers with rigid side chains. Beyond its potential application in describing the dynamics of the extracellular matrix of mammalian…

Statistical Mechanics · Physics 2008-04-01 Marcel Hellmann , Youjin Deng , Matthias Weiss , Dieter W. Heermann

Numerous cellular functions rely on protein$\unicode{x2013}$protein interactions. Efforts to comprehensively characterize them remain challenged however by the diversity of molecular recognition mechanisms employed within the proteome. Deep…

Biomolecules · Quantitative Biology 2023-12-08 Julia R. Rogers , Gergő Nikolényi , Mohammed AlQuraishi

We investigate a two-dimensional polydisperse suspension of self-propelled semiflexible filaments and reveal a collective wrapping mechanism that is absent in monodisperse systems. At intermediate activity levels, long filaments coil around…

The dynamics of biological polymers, including proteins, RNA, and DNA, occur in very high-dimensional spaces. Many naturally-occurring polymers can navigate a vast phase space and rapidly find their lowest free energy (folded) state. Thus,…

Computational Physics · Physics 2024-06-19 Frederico Campos Freitas , Sandra Byju , Asem Hassan , Ronaldo Junio de Oliveira , Paul C. Whitford

Macromolecules can gain special properties by adopting knotted conformations, but engineering knotted macromolecules is a challenging task. Here we surprisingly observed that knotting can be very effectively produced in active polymers.…

Soft Condensed Matter · Physics 2024-12-10 Jia-Xiang Li , Song Wu , Li-Li Hao , Qun-Li Lei , Yu-Qiang Ma

We perform molecular dynamics simulations for a simple coarse-grained model of crambin placed inside of a softly repulsive sphere of radius R. The confinement makes folding at the optimal temperature slower and affects the folding…

Biomolecules · Quantitative Biology 2008-12-01 M. Wojciechowski , Marek Cieplak

We present simulations on a binary blend of bead-spring polymer chains. The introduction of monomer size disparity yields very different relaxation times for each component of the blend. Competition between two different arrest mechanisms,…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

In cells and in vitro assays the number of motor proteins involved in biological transport processes is far from being unlimited. The cytoskeletal binding sites are in contact with the same finite reservoir of motors (either the cytosol or…

Subcellular Processes · Quantitative Biology 2014-09-26 Luca Ciandrini , I. Neri , Jean-Charles Walter , O. Dauloudet , A. Parmeggiani