Title
Simplifying the role of signals in tile self-assembly
Abstract
Sending signals through DNA-based structures is one of the methods used to enhance the capabilities of DNA self-assembly systems. Signal Tile Assembly Models at temperature one, in supertile-to-supertile attachment mode, have been showed to have universal computational power. We introduce a simplified signal tile assembly model, in one-tile-at-a-time attachment mode, and where signals can only be used to deactivate glues. We prove that such a simplified system at temperature one can still simulate a Turing machine. We also present a simplified signal tile assembly system, in supertile-to-supertile attachment mode, that assembles a thin, \(N \times N!\), rectangle and has tile complexity \(O(\log N)\). This result is an improvement over the tile complexity of existing models for thin rectangle self-assembly.
Year
DOI
Venue
2019
10.1007/s11047-018-9676-z
Natural Computing
Keywords
Field
DocType
Self-assembly systems,Signal,Glue deactivation,Tile assembly
Binary logarithm,Discrete mathematics,Rectangle,Algorithm,Turing machine,Self-assembly,Tile,Mathematics
Journal
Volume
Issue
ISSN
18
2
1572-9796
Citations 
PageRank 
References 
0
0.34
13
Authors
2
Name
Order
Citations
PageRank
Lila Kari11123124.45
Amirhossein Simjour200.34