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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

The observation by Ke et al. [Science 338, 1177 (2012)] that large numbers of short, pre-designed DNA strands can assemble into three-dimensional target structures came as a great surprise, as no colloidal self-assembling system has ever…

Soft Condensed Matter · Physics 2014-06-12 Aleks Reinhardt , Daan Frenkel

We report Monte Carlo simulations of a simple off-lattice patchy-particle model for DNA `bricks'. We relate the parameters that characterise this model with the binding free energy of pairs of single-stranded DNA molecules. We verify that…

Soft Condensed Matter · Physics 2016-07-21 Aleks Reinhardt , Daan Frenkel

We report canonical and grand-canonical lattice Monte Carlo simulations of the self-assembly of addressable structures comprising hundreds of distinct component types. The nucleation behaviour, in the form of free-energy barriers to…

Soft Condensed Matter · Physics 2016-04-18 Aleks Reinhardt , Chon Pan Ho , Daan Frenkel

In order to optimize a self-assembly reaction, it is essential to understand the factors that govern its pathway. Here, we examine the influence of nucleation pathways in a model system for addressable, multicomponent self-assembly based on…

Soft Condensed Matter · Physics 2018-08-01 Martin Sajfutdinow , William M. Jacobs , Aleks Reinhardt , Christoph Schneider , David M. Smith

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

Nucleation is the rate-determining step in the kinetics of many self-assembly processes. However, the importance of nucleation in the kinetics of DNA-origami self-assembly, which involves both the binding of staple strands and the folding…

Soft Condensed Matter · Physics 2023-03-22 Alexander Cumberworth , Daan Frenkel , Aleks Reinhardt

The design space for a self-assembled multicomponent objects ranges from a solution in which every building block is unique to one with the minimum number of distinct building blocks that unambiguously define the target structure. Using a…

Soft Condensed Matter · Physics 2023-03-13 Joakim Bohlin , Andrew J. Turberfield , Ard A. Louis , Petr Šulc

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…

We use simple analytic arguments and lattice-based computer simulations to study the growth of structures made from a large number of distinct component types. Components possess 'designed' interactions, chosen to stabilize an equilibrium…

Soft Condensed Matter · Physics 2014-08-25 Lester O. Hedges , Ranjan V. Mannige , Stephen Whitelam

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

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

Bacterial genomes have been shown to be partitioned into several kilobases long chromosomal domains that are topologically independent from each other, meaning that change of DNA superhelicity in one domain does not propagate to neighbors.…

Biological Physics · Physics 2020-09-17 Marc Joyeux , Ivan Junier

We tackle the problem of sequential brick assembly with LEGO bricks to create combinatorial 3D structures. This problem is challenging since this brick assembly task encompasses the characteristics of combinatorial optimization problems. In…

Machine Learning · Computer Science 2024-11-19 Seokjun Ahn , Jungtaek Kim , Minsu Cho , Jaesik Park

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

Self-assembly processes are widespread in nature, and lie at the heart of many biological and physical phenomena. The characteristics of self-assembly building blocks determine the structures that they form. Two crucial properties are the…

Soft Condensed Matter · Physics 2018-09-11 S. Tesoro , S. E. Ahnert , A. S. Leonard

In equilibrium self-assembly, microscopic building blocks spontaneously self-organize into stable structures as dictated by their interaction potentials, which limits the accessible structural features to those that correspond to global…

Soft Condensed Matter · Physics 2026-04-17 Pepijn G. Moerman , Chenghung Chou , Thomas E. Videbæk , W. Benjamin Rogers , Rebecca Schulman

DNA nanostructures with programmable shape and interactions can be used as building blocks for the self-assembly of crystalline materials with prescribed nanoscale features, holding a vast technological potential. Structural rigidity and…

Soft Condensed Matter · Physics 2019-01-30 Ryan A. Brady , William T. Kaufhold , Nicholas J. Brooks , Vito Foderà , Lorenzo Di Michele

DNA self-assembly is an important tool that has a wide range of applications such as building nanostructures, the transport of target virotherapies, and nano-circuitry. Tools from graph theory can be used to encode the biological process of…

Combinatorics · Mathematics 2023-10-09 Cory Johnson , Andrew Lavengood-Ryan

Inspired by recent successes using single-stranded DNA tiles to produce complex structures, we develop a two-step coarse-graining approach that uses detailed thermodynamic calculations with oxDNA, a nucleotide-based model of DNA, to…

Soft Condensed Matter · Physics 2018-04-09 Pedro Fonseca , Flavio Romano , John S. Schreck , Thomas E. Ouldridge , Jonathan P. K. Doye , Ard A. Louis
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