DNA Self-Assembly For Constructing 3D Boxes
Computational Complexity
2007-05-23 v1 Computational Engineering, Finance, and Science
Abstract
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 is a more precise superset of their Tile Assembly Model that facilitates building scalable 3D molecules. Under our model, we present algorithms to build a hollow cube, which is intuitively one of the simplest 3D structures to construct. We also introduce five basic measures of complexity to analyze these algorithms. Our model and algorithmic techniques are applicable to more complex 2D and 3D nanostructures.
Keywords
Cite
@article{arxiv.cs/0112009,
title = {DNA Self-Assembly For Constructing 3D Boxes},
author = {Ming-Yang Kao and Vijay Ramachandran},
journal= {arXiv preprint arXiv:cs/0112009},
year = {2007}
}
Comments
15 pages, 3 figures. Extended abstract included in ISAAC 2001 proceedings