Enumerating DNA polyhedral links

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	Enumerating DNA polyhedral links
	Deng, Kecai ; Qian, Jianguo ; Zhang, Fuji ; Qian JG(钱建国) ; Zhang FJ(张福基)
刊名	http://dx.doi.org/10.1007/s10910-013-0148-5
	2013
关键词	POLYPHENACENES GRAPHS
英文摘要	NSFC [10831001]; With the fast-growing of DNA self-assembly techniques, a large number of DNA catenanes or more specifically, DNA polyhedral links were synthesized in the past decade. As a sequel of a recent paper (J. Math. Chem. 50, p. 1693, 2012) by the present authors on the enumeration problem of polyhedral links, this paper considers the enumeration problem of DNA polyhedral links. In contrast to a general molecular link, a DNA polyhedral link has four notable features: 1. the memory of DNA chain direction; 2. the accurate DNA complementary base pairing; 3. the twist patterns of the double-helical strands; 4. the migration in branched junction. These features put forward particular requests for treating the enumeration problem of DNA polyhedral links. In addition to using the standard Plya's counting theory, we here introduce the generating function and edge direction retentivity analysis to the enumeration problem, by which we establish explicit expressions of the numbers of DNA polyhedral links for three typical models. These models have been used as strategies or are potential strategies in the synthesis of DNA polyhedral links.
语种	英语
出版者	SPRINGER
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91287]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Deng, Kecai,Qian, Jianguo,Zhang, Fuji,et al. Enumerating DNA polyhedral links[J]. http://dx.doi.org/10.1007/s10910-013-0148-5,2013.
APA	Deng, Kecai,Qian, Jianguo,Zhang, Fuji,钱建国,&张福基.(2013).Enumerating DNA polyhedral links.http://dx.doi.org/10.1007/s10910-013-0148-5.
MLA	Deng, Kecai,et al."Enumerating DNA polyhedral links".http://dx.doi.org/10.1007/s10910-013-0148-5 (2013).