Error Tolerance in DNA Self-Assembly by (2k-1) x (2k-1) Snake Tile Sets

As a possible technology for bottom-up manufacturing, DNA self-assembly requires tolerance to different errors. Among the methods for reducing the error rate, snake tile sets utilize a square block of even dimension of tiles (i.e., 2ktimes2k). In this paper, an odd-sized square block (i.e., (2k-1)times(2k-1)) is proposed as basis for snake tile sets. In comparison with all other tile sets, the proposed snake tile sets achieve a considerable reduction in error rate for growth and facet roughening errors. Simulation results are provided.