The tile assembly model is intrinsically universal

Details The tile assembly model is intrinsically universal The tile assembly model is intrinsically universal

2011-11-14

arxiv.org/abs/1111.3097v2

Computer Science

Data Structures and Algorithms

Scientific paper

We prove that the abstract Tile Assembly Model (aTAM) of nanoscale self-assembly is intrinsically universal. This means that there is a single tile assembly system U that, with proper initialization, simulates any tile assembly system T. The simulation is "intrinsic" in the sense that the self-assembly process carried out by U is exactly that carried out by T, with each tile of T represented by an m x m "supertile" of U. Our construction works for the full aTAM at any temperature, and it faithfully simulates the deterministic or nondeterministic behavior of each T. Our construction succeeds by solving an analog of the cell differentiation problem in developmental biology: Each supertile of U, starting with those in the seed assembly, carries the "genome" of the simulated system T. At each location of a potential supertile in the self-assembly of U, a decision is made whether and how to express this genome, i.e., whether to generate a supertile and, if so, which tile of T it will represent. This decision must be achieved using asynchronous communication under incomplete information, but it achieves the correct global outcome(s).

Affiliated with

Also associated with

No associations

Rating

The tile assembly model is intrinsically universal does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The tile assembly model is intrinsically universal, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The tile assembly model is intrinsically universal will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216626