Hierarchical self assembly of patterns from the Robinson tilings: DNA tile design in an enhanced Tile Assembly Model |
| |
Authors: | Jennifer E Padilla Wenyan Liu Nadrian C Seeman |
| |
Affiliation: | 1. Monrovia, CA, 91016, USA 2. Department of Chemistry, New York University, New York, NY, 10003, USA
|
| |
Abstract: | We introduce a hierarchical self assembly algorithm that produces the quasiperiodic patterns found in the Robinson tilings and suggest a practical implementation of this algorithm using DNA origami tiles. We modify the abstract Tile Assembly Model (aTAM), to include active signaling and glue activation in response to signals to coordinate the hierarchical assembly of Robinson patterns of arbitrary size from a small set of tiles according to the tile substitution algorithm that generates them. Enabling coordinated hierarchical assembly in the aTAM makes possible the efficient encoding of the recursive process of tile substitution. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|