Using dual polyhedral links models to predict characters of DNA polyhedra

2013 ◽  
Vol 1051 ◽  
pp. 233-236 ◽  
Author(s):  
Jin-Wei Duan ◽  
Wen-Yuan Qiu
Keyword(s):  
Polyhedral Links ◽  
Dna Polyhedra

Ear decomposition of 3-regular polyhedral links with applications

2014 ◽  
Vol 359 ◽  
pp. 146-154 ◽  
Author(s):  
Xiao-Sheng Cheng ◽  
Heping Zhang ◽  
Xian׳an Jin ◽  
Wen-Yuan Qiu
Keyword(s):  
Polyhedral Links ◽  
Ear Decomposition

scholarly journals The architecture of Platonic polyhedral links

2008 ◽  
Vol 46 (2) ◽  
pp. 592-603 ◽  
Author(s):  
Guang Hu ◽  
Xin-Dong Zhai ◽  
Dan Lu ◽  
Wen-Yuan Qiu
Keyword(s):  
Polyhedral Links

scholarly journals Supramolecular Wireframe DNA Polyhedra: Assembly and Applications

2017 ◽  
Vol 35 (6) ◽  
pp. 801-810 ◽  
Author(s):  
Yulin Li ◽  
Chengde Mao ◽  
Zhaoxiang Deng
Keyword(s):  
Dna Polyhedra

scholarly journals The Braid Index of Complicated DNA Polyhedral Links

PLoS ONE ◽  
2012 ◽  
Vol 7 (11) ◽  
pp. e48968 ◽  
Author(s):  
Xiao-Sheng Cheng ◽  
Xian'an Jin
Keyword(s):  
Polyhedral Links ◽  
Braid Index

scholarly journals Topological Analysis of Enzymatic Actions on DNA Polyhedral Links

2011 ◽  
Vol 73 (12) ◽  
pp. 3030-3046 ◽  
Author(s):  
Guang Hu ◽  
Ze Wang ◽  
Wen-Yuan Qiu
Keyword(s):  
Topological Analysis ◽  
Polyhedral Links

DNA Trojan Horses: Self‐Assembled Floxuridine‐Containing DNA Polyhedra for Cancer Therapy

2017 ◽  
Vol 56 (41) ◽  
pp. 12528-12532 ◽  
Author(s):  
Quanbing Mou ◽  
Yuan Ma ◽  
Gaifang Pan ◽  
Bai Xue ◽  
Deyue Yan ◽  
...  
Keyword(s):  
Cancer Therapy ◽  
Self Assembled ◽  
Dna Polyhedra

Construction of DNA Polyhedra and Knots Through Symmetry Minimization

1995 ◽  
pp. 27-32 ◽  
Author(s):  
Nadrian C. Seeman ◽  
Yuwen Zhang ◽  
Shou Ming Du ◽  
Junghuei Chen
Keyword(s):  
Dna Polyhedra

The HOMFLY polynomials of odd polyhedral links

2013 ◽  
Vol 51 (5) ◽  
pp. 1310-1328
Author(s):  
Shuya Liu ◽  
Heping Zhang
Keyword(s):  
Polyhedral Links ◽  
Homfly Polynomials

scholarly journals Construction and Analysis of Double Helix for Triangular Bipyramid and Pentangular Bipyramid

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Tao Deng
Keyword(s):  
Self Assembly ◽  
Double Helix ◽  
Computer Method ◽  
Dna Assembly ◽  
Electronic Circuits ◽  
Molecular Electronic ◽  
Design Efficiency ◽  
Topological Structures ◽  
Assembly Mechanism ◽  
Dna Polyhedra

DNA cages can be joined together to make larger 3D nanostructures on which molecular electronic circuits and tiny containers are built for drug delivery. The mathematical models for these promising nanomaterials play important roles in clarifying their assembly mechanism and understanding their structures. In this study, we propose a mathematical and computer method to construct permissible topological structures with double-helical edges for a triangular bipyramid and pentangular bipyramid. Furthermore, we remove the same topological links, without eliminating the nonrepeated ones for a triangular bipyramid and pentangular bipyramid. By analyzing characteristics of these unique links, some self-assembly and statistic rules are discussed. This study may obtain some new insights into the DNA assembly from the viewpoint of mathematics, promoting the comprehending and design efficiency of DNA polyhedra with required topological structures.

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