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Molecular design of DNA polyhedra based on genus

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Abstract

Topology plays an important role as a guiding principle for the design of novel molecules. It is well known that polyhedral links could be served as mathematical models for DNA polyhedra. In this study, we have proposed a serial of novel design strategies to extend DNA polyhedral links to be embedded in high-genus surfaces. Three families of polyhedral links are theoretically constructed by integrating odd edges, introducing crossed vertices, as well as templating on high-genus substrates. Formulas for calculating the genus of these polyhedral links are given, by using the operation of Seifert construction. Research on genus reveals that these aesthetics and extremely complex architectures provide novel candidates for chemical synthesis, especially for DNA cages.

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Acknowledgments

This work was supported by Grants from the National Natural Science Foundation of China (Nos. 20973085, 10831001, and 21173104) and Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20090211110006). G. H. is indebted to the NSFC (21203131) for financial support.

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Authors and Affiliations

  1. Department of Chemistry, State Key Laboratory of Applied Organic Chemistry, Lanzhou University, Lanzhou, People’s Republic of China

    Jin-Wei Duan, Wei Li, Xiao-Wei Li & Wen-Yuan Qiu

  2. Center for Systems Biology, Soochow University, Suzhou , 215006, People’s Republic of China

    Guang Hu

Authors
  1. Jin-Wei Duan
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  2. Wei Li
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  3. Xiao-Wei Li
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  4. Guang Hu
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  5. Wen-Yuan Qiu
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Correspondence to Guang Hu or Wen-Yuan Qiu.

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Duan, JW., Li, W., Li, XW. et al. Molecular design of DNA polyhedra based on genus. J Math Chem 52, 2380–2394 (2014). https://doi.org/10.1007/s10910-014-0389-y

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  • DOI: https://doi.org/10.1007/s10910-014-0389-y

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