Staged Self-Assembly:用O(1)胶纳米制造任意形状的纳米材料
Staged Self-Assembly:Nanomanufacture of Arbitrary Shapes with O(1) Glues
摘要:
我们介绍了分阶段的自组装王瓷砖,瓷砖可以动态地添加顺序和中间结构可以存储为以后的混合。该模型及其各种限制和性能指标的动机是通过基于蛋白质的生物工程实现的实际纳米制造场景。分级允许我们通过在分级算法中编码形状而不是瓦片来突破瓦片自组装的传统下限。我们所有的结果都是基于一个实际的假设,即只有恒定数量的胶水,因此只有恒定数量的瓷砖,可以工程,因为每一个新的胶水类型需要大量的生化研究和实验。在这种假设下,传统的瓷砖自组装甚至不能制造一个n*n平方,相反,我们展示了如何分期组装,使制造任意正交形状的各种精确配方的模型。
英文摘要:
We introduce staged self-assembly of Wang tiles, where tiles can be added dynamically in sequence and where intermediate constructions can be stored for later mixing. This model and its various constraints and performance measures are motivated by a practical nanofabrication scenario through protein-based bioengineering. Staging allows us to break through the traditional lower bounds in tile self-assembly by encoding the shape in the staging algorithm instead of the tiles. All of our results are based on the practical assumption that only a constant number of glues, and thus only a constant number of tiles, can be engineered, as each new glue type requires significant biochemical research and experiments. Under this assumption, traditional tile self-assembly cannot even manufacture an n*n square; in contrast, we show how staged assembly enables manufacture of arbitrary orthogonal shapes in a variety of precise formulations of the model.
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