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Ternary DNA computing using 3 × 3 multiplication matrices

机译:使用3×3乘法矩阵计算三元DNA计算

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摘要

Non-Boolean computations implementing operations on multi-valued variables beyond base 2 allow enhanced computational complexity. We introduce DNA as a functional material for ternary computing, and in particular demonstrate the use of three-valued oligonucleotide inputs to construct a 3 × 3 multiplication table. The system consists of two three-valued inputs of ?1; 0; +1 and a fluorophore/quencher functional hairpin acting as computational and reporter module. The interaction of the computational hairpin module with the different values of the inputs yields a 3 × 3 multiplication matrix consisting of nine nanostructures that are read out by three distinct fluorescence intensities. By combining three different hairpin computational modules, each modified with a different fluorophore/quencher pair, and using different sets of inputs, the parallel operation of three multiplication tables is demonstrated.
机译:在基础2之外的多值变量上实现操作的非布尔计算允许增强的计算复杂度。我们将DNA引入三元计算的功能性材料,特别是证明使用三值的寡核苷酸输入来构建3×3乘法表。该系统由两个三价输入的?1; 0; +1和荧光团/猝灭剂功能发夹作为计算和记者模块。计算发夹模块与输入不同值的相互作用产生3×3乘法矩阵,其由九个纳米结构组成,其被三个不同的荧光强度读出。通过组合三种不同的发夹计算模块,每个用不同的荧光团/猝灭剂对修改,并使用不同的输入组,对三个乘法表的并行操作进行说明。

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