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

2017 ◽  
Vol 56 (41) ◽  
pp. 12528-12532 ◽  
Author(s):  
Quanbing Mou ◽  
Yuan Ma ◽  
Gaifang Pan ◽  
Bai Xue ◽  
Deyue Yan ◽  
...  

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Tao Deng

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.


2016 ◽  
Vol 56 (5) ◽  
pp. 941-949 ◽  
Author(s):  
Cassio Alves ◽  
Federico Iacovelli ◽  
Mattia Falconi ◽  
Francesca Cardamone ◽  
Blasco Morozzo della Rocca ◽  
...  

2009 ◽  
Vol 131 (4) ◽  
pp. 1413-1415 ◽  
Author(s):  
Chuan Zhang ◽  
Seung Hyeon Ko ◽  
Min Su ◽  
Yujun Leng ◽  
Alexander E. Ribbe ◽  
...  
Keyword(s):  
The Face ◽  

PLoS ONE ◽  
2011 ◽  
Vol 6 (10) ◽  
pp. e26308 ◽  
Author(s):  
Guang Hu ◽  
Wen-Yuan Qiu ◽  
Arnout Ceulemans

ACS Nano ◽  
2012 ◽  
Vol 6 (6) ◽  
pp. 5138-5142 ◽  
Author(s):  
Xiang Li ◽  
Chuan Zhang ◽  
Chenhui Hao ◽  
Cheng Tian ◽  
Guansong Wang ◽  
...  
Keyword(s):  

2017 ◽  
Vol 129 (41) ◽  
pp. 12702-12706 ◽  
Author(s):  
Quanbing Mou ◽  
Yuan Ma ◽  
Gaifang Pan ◽  
Bai Xue ◽  
Deyue Yan ◽  
...  

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