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Extensive Monte Carlo folding simulations for four proteins of various structural classes are carried out, using a single atomistic potential. In all cases, collapse occurs at a very early stage, and proteins fold into their native-like…

Statistical Mechanics · Physics 2009-11-10 Seung-Yeon Kim , Julian Lee , Jooyoung Lee

Theories of phase change and self-assembly often invoke the idea of a `quasiequilibrium', a regime in which the nonequilibrium association of building blocks results nonetheless in a structure whose properties are determined solely by an…

Statistical Mechanics · Physics 2013-07-22 Stephen Whitelam , Rebecca Schulman , Lester Hedges

Algorithmic self-assembly, a generalization of crystal growth processes, has been proposed as a mechanism for autonomous DNA computation and for bottom-up fabrication of complex nanostructures. A `program' for growing a desired structure…

Materials Science · Physics 2010-01-08 Rebecca Schulman , Erik Winfree

The three-dimensional structure of proteins plays a crucial role in determining their function. Protein structure prediction methods, like AlphaFold, offer rapid access to a protein structure. However, large protein complexes cannot be…

Biomolecules · Quantitative Biology 2025-03-05 Gabriel Ducrocq , Lukas Grunewald , Sebastian Westenhoff , Fredrik Lindsten

We introduce a new model of algorithmic tile self-assembly called size-dependent assembly. In previous models, supertiles are stable when the total strength of the bonds between any two halves exceeds some constant temperature. In this…

Computational Geometry · Computer Science 2015-09-24 Sándor P. Fekete , Robert T. Schweller , Andrew Winslow

Heteropolymers are ubiquitous in both synthetic systems, such as block copolymers, and biological macromolecules, including proteins and nucleic acids. Beyond their chemical composition, these polymers often exhibit spatial variations in…

Soft Condensed Matter · Physics 2025-04-02 Arvind Saini , Rajiblochan Sahoo , Rajarshi Chakrabarti , Sayantan Dutta

A self-organization is an universal phenomenon in nature and, in particular, is highly important in materials systems and biology. We proposed a new theory that allowed us to model the most challenging cases of atomic self-assembling whose…

Other Condensed Matter · Physics 2014-11-25 M. Lavrskyi , H. Zapolsky , A. G. Khachaturyan

Self-assembly is a phenomenon observed in nature at all scales where autonomous entities build complex structures, without external influences nor centralised master plan. Modelling such entities and programming correct interactions among…

Computational Complexity · Computer Science 2013-09-26 German Terrazas , Hector Zenil , Natalio Krasnogor

Molecular self-assembly on surfaces constitutes a powerful method for creating tailor-made surface structures with dedicated functionalities. Varying the intermolecular interactions allows for tuning the resulting molecular structures in a…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Christoph Schiel , Maximilian Vogtland , Ralf Bechstein , Angelika Kühnle , Philipp Maass

A lattice model with soft repulsion followed by attraction is developed for a monolayer of hybrid core-shell particles self-assembling at an interface. The model is solved exactly in one dimension. One, two or three periodic structures and…

Soft Condensed Matter · Physics 2017-01-03 Alina Ciach , Jakub Pekalski

A general theoretical framework is developed using free energy functional methods to understand the effects of heterogeneity in the folding of a well-designed protein. Native energetic heterogeneity arising from non-uniformity in native…

Disordered Systems and Neural Networks · Physics 2007-05-23 Steven S. Plotkin , Jose N. Onuchic

Active self-assembly can bypass equilibrium bottlenecks through external energy injection. However, generic driving typically distorts target structures and requires sustained energy input even after assembly is complete. Here, we…

Soft Condensed Matter · Physics 2026-04-27 Dawid Dopierała , Luca Cocconi , Robert L. Jack , Anton Souslov

Building structures with hierarchical order through the self-assembly of smaller blocks is not only a prerogative of nature, but also a strategy to design artificial materials with tailored functions. We explore in simulation the…

Soft Condensed Matter · Physics 2020-02-17 Santi Prestipino , Domenico Gazzillo , Gianmarco Munaò , Dino Costa

Highly periodic structures are often said to convey the beauty of nature. However, most material properties are strongly influenced by the defects they contain. On the mesoscopic scale, molecular self-assembly exemplifies this interplay;…

Individualized manufacturing is becoming an important approach as a means to fulfill increasingly diverse and specific consumer requirements and expectations. While there are various solutions to the implementation of the manufacturing…

Robotics · Computer Science 2020-02-20 Caterina Neef , Dario Luipers , Jan Bollenbacher , Christian Gebel , Anja Richert

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé

We consider the self-assembly of composite structures from a group of nanocomponents, each consisting of particles within an $N$-atom system. Self-assembly pathways and rates for nanocomposites are derived via a multiscale analysis of the…

Biological Physics · Physics 2014-01-06 Stephen Pankavich , Peter Ortoleva

A crystal lattice, when confined to the surface of a cylinder, must have a periodic structure that is commensurate with the cylinder circumference. This constraint can frustrate the system, leading to oblique crystal lattices or to…

Soft Condensed Matter · Physics 2013-07-03 D. A. Wood , C. D. Santangelo , A. D. Dinsmore

Colloidal molecules are designed to mimic their molecular analogues through their anisotropic shape and interactions. However, current experimental realizations are missing the structural flexibility present in real molecules thereby…

We use computer simulations to study a model, first proposed by Wales [1], for the reversible and monodisperse self-assembly of simple icosahedral virus capsid structures. The success and efficiency of assembly as a function of…

Biomolecules · Quantitative Biology 2010-02-24 Iain G. Johnston , Ard A. Louis , Jonathan P. K. Doye