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Many random combinatorial objects have a component structure whose joint distribution is equal to that of a process of mutually independent random variables, conditioned on the value of a weighted sum of the variables. It is interesting to…

Probability · Mathematics 2013-08-16 Richard Arratia , Simon Tavare

Assembly theory predicts that a distinguishing signature of life is its ability to produce complex molecules in abundance, opening new possibilities for life detection. Experimental validation of this approach has so far relied on abiotic…

Biological Physics · Physics 2025-09-08 Alexandre Champagne-Ruel , Christopher P. Kempes , Cole Mathis

We propose a general framework for solving inverse self-assembly problems, i.e. designing interactions between elementary units such that they assemble spontaneously into a predetermined structure. Our approach uses patchy particles as…

Soft Condensed Matter · Physics 2022-07-13 John Russo , Flavio Romano , Lukas Kroc , Francesco Sciortino , Lorenzo Rovigatti , Petr Sulc

We consider self-assembly of proteins into a virus capsid by the methods of molecular dynamics. The capsid corresponds either to SPMV or CCMV and is studied with and without the RNA molecule inside. The proteins are flexible and described…

Biomolecules · Quantitative Biology 2018-11-05 Karol Wolek , Marek Cieplak

The self-assembly of polymer grafted nanoparticles is more and more used in the field of functional materials. However, there is still a lack of analysis on the dynamic transformation paths of different self-assembly morphologies, which…

Soft Condensed Matter · Physics 2026-02-09 Guoqing Meng , Liyuan Chen , Sihang Guo , Junxing Pan , Yingying Wang , Jinjun Zhang

We use numerical simulations to show how noninteracting hard particles binding to a deformable elastic shell may self-assemble into a variety of linear patterns. This is a result of the nontrivial elastic response to deformations of shells.…

Soft Condensed Matter · Physics 2011-02-25 Andela Šarić , Angelo Cacciuto

We study the problem of the self-assembly of nanoparticles (NPs) into finite mesoscopic structures with a programmed local morphology and complex overall shape. Our proposed building blocks are NPs directionally-functionalized with DNA. The…

Soft Condensed Matter · Physics 2013-11-04 Jonathan D. Halverson , Alexei V. Tkachenko

In self-assembling systems, geometric frustration leads to complex states characterized by internal gradients of shape misfit. Frustrated assemblies have drawn recent interest due to the unique possibility that their thermodynamics can…

Soft Condensed Matter · Physics 2023-08-08 Nicholas W. Hackney , Christopher Amey , Gregory M. Grason

The functioning of machines typically requires a concerted action of their parts. This requirement also holds for molecular motors that drive vital cellular processes and imposes constraints on their conformational changes as well as the…

Biological Physics · Physics 2022-06-14 Zena Hadjivasiliou , Karsten Kruse

An approach that combines Self-Organizing maps, hierarchical clustering and network components is presented, aimed at comparing protein conformational ensembles obtained from multiple Molecular Dynamic simulations. As a first result the…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Domenico Fraccalvieri , Laura Bonati , Fabio Stella

Hierarchically structured natural materials possess functionalities unattainable to the same components organized or mixed in simpler ways. For instance, the bones and teeth of mammals are far stronger and more durable than the mineral…

Soft Condensed Matter · Physics 2014-04-04 Thomas K. Haxton , Stephen Whitelam

We demonstrate a new algorithm for finding protein conformations that minimize a non-bonded energy function. The new algorithm, called the difference map, seeks to find an atomic configuration that is simultaneously in two constraint…

Biomolecules · Quantitative Biology 2007-06-13 Ivan C. Rankenburg , Veit Elser

Only about 1,000 qualitatively different protein folds are believed to exist in nature. Here, we review theoretical studies which suggest that some folds are intrinsically more designable than others, {\it i.e.} are lowest energy states of…

Statistical Mechanics · Physics 2007-05-23 Ned Wingreen , Hao Li , Chao Tang

Inspired by biology's most sophisticated computer, the brain, neural networks constitute a profound reformulation of computational principles. Remarkably, analogous high-dimensional, highly-interconnected computational architectures also…

Disordered Systems and Neural Networks · Physics 2024-01-23 Constantine Glen Evans , Jackson O'Brien , Erik Winfree , Arvind Murugan

The relationship between interactions, flexibility and disorder in proteins has been explored from many angles: folding upon binding, flexibility of the core relative to the periphery, entropy changes, etc. In this work, we provide…

Soft Condensed Matter · Physics 2022-11-21 Beatriz Seoane , Alessandra Carbone

Peptides and proteins exhibit a common tendency to assemble into highly ordered fibrillar aggregates, whose formation proceeds in a nucleation-dependent manner that is often preceded by the formation of disordered oligomeric assemblies.…

Biomolecules · Quantitative Biology 2009-01-14 Stefan Auer , Christopher M. Dobson , Michele Vendruscolo , Amos Maritan

Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and…

Physics and Society · Physics 2017-11-15 Milovan Suvakov , Miroslav Andjelkovic , Bosiljka Tadic

Although buckling is a prime route to achieve functionalization and synthesis of single colloids, buckling of colloidal structures---made up of multiple colloids---remains poorly studied. Here, we investigate the buckling of the simplest…

Soft Condensed Matter · Physics 2019-10-02 Simon Stuij , Jan Maarten van Doorn , Thomas Kodger , Joris Sprakel , Corentin Coulais , Peter Schall

Using lattice models we explore the factors that determine the tendencies of polypeptide chains to aggregate by exhaustively sampling the sequence and conformational space. The morphologies of the fibril-like structures and the time scales…

Soft Condensed Matter · Physics 2010-11-08 Mai Suan Li , Nguyen Truong Co , Govardhan Reddy , C-K. Hu , J. E. Straub , D. Thirumalai

Protein aggregation in cell membrane is vital for the majority of biological functions. Recent experimental results suggest that transmembrane domains of proteins such as $\alpha$-helices and $\beta$-sheets have different structural…

Biological Physics · Physics 2016-01-20 Hamidreza Jafarinia , Atefeh Khoshnood , Mir Abbas Jalali