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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

If particles interact according to isotropic pair potentials that favor multiple length scales, in principle a large variety of different complex structures can be achieved by self-assembly. We present, motivate, and discuss a conjecture…

Soft Condensed Matter · Physics 2018-11-07 Erdal C. Oğuz , Aleksandar Mijailović , Michael Schmiedeberg

Self-organized complex structures in nature, e.g. viral capsids, hierarchical biopolymers, and bacterial flagella, offer efficiency, adaptability, robustness, and multi-functionality. Can we program the self-assembly of three-dimensional…

Soft Condensed Matter · Physics 2022-01-11 Francesco Serafin , Jun Lu , Nicholas Kotov , Kai Sun , Xiaoming Mao

In this paper we introduce a new method to design interparticle interactions to target arbitrary crystal structures via the process of self-assembly. We show that it is possible to exploit the curvature of the crystal nucleation free-energy…

Soft Condensed Matter · Physics 2010-12-21 William L. Miller , Angelo Cacciuto

The self-assembly of complex structures from engineered subunits is a major goal of nanotechnology, but controlling their size becomes increasingly difficult in larger assemblies. Existing strategies present significant challenges, among…

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

Within simulations of molecules deposited on a surface we show that neuroevolutionary learning can design particles and time-dependent protocols to promote self-assembly, without input from physical concepts such as thermal equilibrium or…

Statistical Mechanics · Physics 2021-07-07 Stephen Whitelam , Isaac Tamblyn

DNA nanoparticles with three-fold coordination have been observed to self-assemble in experiment into a network equivalent to the hexagonal (6.6.6) tiling, and a network equivalent to the 4.8.8 Archimedean tiling. Both networks are built…

Statistical Mechanics · Physics 2018-05-28 Zdenek Preisler , Barbara Sacca , Stephen Whitelam

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

There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process that can repeat multiple times. Yet, our understanding of…

Soft Condensed Matter · Physics 2025-09-15 Miranda Holmes-Cerfon , Matthieu Wyart

The ability to rapidly manufacture building blocks with specific binding interactions is a key aspect of programmable assembly. Recent developments in DNA nanotechnology and colloidal particle synthesis have significantly advanced our…

Soft Condensed Matter · Physics 2024-03-06 Chrisy Xiyu Du , Hanyu Alice Zhang , Tanner Pearson , Jakin Ng , Paul McEuen , Itai Cohen , Michael P. Brenner

The cytoplasm is a heterogeneous mixture containing many types of proteins that self-assemble into a wide variety of complexes. The accuracy and speed of cytoplasmic self-assembly is astonishing because it involves the correct…

Statistical Mechanics · Physics 2025-11-21 Félix Benoist , Pablo Sartori

Inverse design can be a useful strategy for discovering interactions that drive particles to spontaneously self-assemble into a desired structure. Here, we extend an inverse design methodology--relative entropy optimization--to determine…

Soft Condensed Matter · Physics 2018-03-16 William D. Piñeros , Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Self-assembly is one of the prevalent strategies used by living systems to fabricate ensembles of precision nanometer-scale structures and devices. The push for analogous approaches to create synthetic nanomaterials has led to the…

Colloidal particles grafted with single-stranded DNA (ssDNA) chains can self-assemble into a number of different crystalline structures, where hybridization of the ssDNA chains creates links between colloids stabilizing their structure.…

Soft Condensed Matter · Physics 2015-06-17 Panagiotis E. Theodorakis , Nikolaos G. Fytas , Gerhard Kahl , Christoph Dellago

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

We study theoretically a new generic scheme of programmable self-assembly of nanoparticles into clusters of desired geometry. The problem is motivated by the feasibility of highly selective DNA-mediated interactions between colloidal…

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

The interaction between light and matter can be controlled efficiently by structuring materials at a length scale shorter than the wavelength of interest. With the goal to build optical devices that operate at the nanoscale, plasmonics has…

Optics · Physics 2021-05-06 Na Liu , Tim Liedl

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

We study DNA self-assembly and DNA computation using a coarse-grained DNA model within the directional dynamic bonding framework {[}C. Svaneborg, Comp. Phys. Comm. 183, 1793 (2012){]}. In our model, a single nucleotide or domain is…

Soft Condensed Matter · Physics 2012-06-13 Carsten Svaneborg , Harold Fellermann , Steen Rasmussen