On the lower bounds of DNA word sets for DNA computing

Bin Wang, Qiang Zhang, Xiaopeng Wei
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Abstract

DNA computing is a new research field, which has been paid attention to by more and more experts with the DNA computing bringing the flying development of Mathematics, Computer Science and other subjects. Because the DNA coding could decrease the emergence of false negative and false positive, it affects the reliability and the accuracy of DNA computing. In the DNA coding, DNA word sets could provide the best and effective DNA sequences which are used in DNA computing to improve the reliability and accuracy of biochemical reaction. However, there are no entire and exact values which satisfy combinational constraints, which induce many problems in DNA coding. For this reason, in this paper, we use the dynamic genetic algorithm to improve lower bounds of DNA word sets which satisfy combinational constraints. By comparing our experimental results with previous researchful work, the results improve the lower bounds and further shorten the value range of DNA word sets.
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用于DNA计算的DNA词集下界
DNA计算是一个新兴的研究领域,受到越来越多专家的关注,DNA计算带来了数学、计算机科学等学科的飞速发展。由于DNA编码可以减少假阴性和假阳性的出现,因此影响了DNA计算的可靠性和准确性。在DNA编码中,DNA词集可以提供最佳有效的DNA序列,用于DNA计算,提高生化反应的可靠性和准确性。然而,没有满足组合约束的完整和精确的值,这导致了DNA编码中的许多问题。为此,本文采用动态遗传算法对满足组合约束的DNA词集下界进行改进。将实验结果与前人的研究成果进行比较,提高了DNA词集的下界,进一步缩短了词集的取值范围。
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