DNA tiles serve as molecular components for the self-assembly of programmable 2-dimensional patterns at the nanoscale. To produce identical copies of a pre-assembled DNA tile pattern, we use a theoretical framework of non enzymatic cross-coupled self-replication system based on tile self-assembly model. This paper presents a kinetic modelling of the pattern self-replication and analyses the influence of physicochemical parameters of tile self-assembly process over the reliability and replication gain. We demonstrate that the tile assembly errors, introduced in tile patterns during their assembly, set a limit over the size of a tile pattern that can be replicated exponentially and reliably.
展开▼
