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A challenge of molecular self-assembly is to understand how to design particles that self-assemble into a desired structure and not any of a potentially large number of undesired structures. Here we use simulation to show that a strategy of…

Statistical Mechanics · Physics 2017-02-27 Stephen Whitelam

We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules spontaneously select irregular…

Statistical Mechanics · Physics 2015-03-25 Stephen Whitelam , Isaac Tamblyn , Juan P. Garrahan , Peter H. Beton

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

Branched molecules of deoxyribonucleic acid (DNA) can self-assemble into nanostructures through complementary cohesive strand base pairing. The production of DNA nanostructures is valuable in targeted drug delivery and biomolecular…

Combinatorics · Mathematics 2022-03-15 D. Chloe Griffin , Jessica Sorrells

We propose a mathematical model of DNA self-assembly using 2D tiles to form 3D nanostructures. This is the first work to combine studies in self-assembly and nanotechnology in 3D, just as Rothemund and Winfree did in the 2D case. Our model…

Computational Complexity · Computer Science 2007-05-23 Ming-Yang Kao , Vijay Ramachandran

DNA is an ideal candidate to organize matter on the nanoscale, primarily due to the specificity and complexity of DNA based interactions. Recent advances in this direction include the self-assembly of colloidal crystals using DNA grafted…

Soft Condensed Matter · Physics 2009-11-13 Nicholas A. Licata , Alexei V. Tkachenko

This project mathematically models the self-assembly of DNA nanostructures in the shape of select Archimedean graphs using the flexible tile model. Under three different sets of restrictions called scenarios, we employ principles of linear…

Biomolecules · Quantitative Biology 2025-04-04 Tabitha Merrithew , Jessica Sorrells

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

Concentrated solutions of short blunt-ended DNA duplexes, down to 6 base pairs, are known to order into the nematic liquid crystal phase. This self-assembly is due to the stacking interactions between the duplex terminals that promotes…

Soft Condensed Matter · Physics 2015-05-30 Cristiano De Michele , Tommaso Bellini , Francesco Sciortino

Within biology, it is of interest to construct DNA complexes of a certain shape. These complexes can be represented through graph theory, using edges to model strands of DNA joined at junctions, represented by vertices. Because guided…

Just like atoms combine into molecules, colloids can self-organize into predetermined structures according to a set of design principles. Controlling valence -- the number of inter-particle bonds -- is a prerequisite for the assembly of…

Soft Condensed Matter · Physics 2022-01-05 Angus McMullen , Sascha Hilgenfeldt , Jasna Brujic

Self-assembled monolayers of microparticles encoding Archimedean and non-regular tessellations promise unprecedented structure-property relationships for a wide spectrum of applications in fields ranging from optoelectronics to surface…

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

Nanoparticles tethered with DNA strands are promising building blocks for bottom-up nanotechnology, and a theoretical understanding is important for future development. Here we build on approaches developed in polymer physics to provide…

Soft Condensed Matter · Physics 2014-11-03 Chia Wei Hsu , Francesco Sciortino , Francis W. Starr

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

The Watson-Crick complementary properties of DNA make DNA a useful tool for the self-assembly of various target complexes. Concepts from graph theory can be used to model the self-assembling process in which the vertices of the graph…

Combinatorics · Mathematics 2023-02-28 Gabriel Lopez , Cory Johnson

Experiments have reached a monumental capacity for designing and synthesizing microscopic particles for self-assembly, making it possible to precisely control particle concentrations, shapes, and interactions. However, more physical insight…

Soft Condensed Matter · Physics 2026-02-19 Maximilian C. Hübl , Thomas E. Videbæk , Daichi Hayakawa , W. Benjamin Rogers , Carl P. Goodrich

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

The proper design of DNA sequences allows for the formation of well defined supramolecular units with controlled interactions via a consecution of self-assembling processes. Here, we benefit from the controlled DNA self-assembly to…

Soft Condensed Matter · Physics 2018-02-14 Javier Fernandez-Castanon , Francesca Bomboi , Francesco Sciortino
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