Approaches to DNA-based computing by self-assembly require the
use of D. T A nanostructures, called tiles, that have efficient chemistries, expressive
computational power: and convenient input and output (I/O) mechanisms.
We have designed two new classes of DNA tiles: TAO and TAE, both
of which contain three double-helices linked by strand exchange. Structural
analysis of a TAO molecule has shown that the molecule assembles efficiently
from its four component strands. Here we demonstrate a novel method for
I/O whereby multiple tiles assemble around a single-stranded (input) scaffold
strand. Computation by tiling theoretically results in the formation of structures
that contain single-stranded (output) reported strands, which can then
be isolated for subsequent steps of computation if necessary. We illustrate the
advantages of TAO and TAE designs by detailing two examples of massively
parallel arithmetic: construction of complete XOR and addition tables by linear
assemblies of DNA tiles. The three helix structures provide flexibility for
topological routing of strands in the computation: allowing the implementation
of string tile models
