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

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.

2019 ◽  
Vol 123 (16) ◽  
pp. 10398-10405 ◽  
Author(s):  
Dustin Olson ◽  
Alejandro Boscoboinik ◽  
Sergio Manzi ◽  
Wilfred T. Tysoe

2019 ◽  
Vol 55 (92) ◽  
pp. 13872-13875 ◽  
Author(s):  
Dustin Olson ◽  
Alejandro Boscoboinik ◽  
Wilfred T. Tysoe

Design principles are demonstrated for fabricating molecular electronic circuits using the inherently self-limiting growth of molecular wires between gold nanoparticles from the oligomerization of 1,4-phenylene diisocyanide.


2016 ◽  
Vol 18 (46) ◽  
pp. 31600-31605 ◽  
Author(s):  
Elisseos Verveniotis ◽  
Yuji Okawa ◽  
Marina V. Makarova ◽  
Yasuo Koide ◽  
Jiangwei Liu ◽  
...  

The diacetylene self-assembly mechanism on atomically flat insulators is elucidated, towards using polydiacetylene wires in molecular electronic devices.


2019 ◽  
Author(s):  
Michael J. Strauss ◽  
Darya Asheghali ◽  
Austin Evans ◽  
Rebecca Li ◽  
Anton Chavez ◽  
...  

<p>Nanotubes assembled from macrocyclic precursors offer a unique combination of low dimensionality, structural rigidity, and distinct interior and exterior microenvironments. Usually the weak stacking energies of macrocycles limit the length or strength of the resultant nanotubes. Imine-linked macrocycles were recently found to assemble into high-aspect ratio (>10<sup>3</sup>), lyotropic nanotubes in the presence of excess acid. Yet these harsh conditions are incompatible with many functional groups and processing methods, and lower acid loadings instead catalyze macrocycle degradation. Here we report pyridine-2,6-diimine-linked macrocycles that assemble into high-aspect ratio nanotubes in the presence of less than 1 equiv of CF<sub>3</sub>CO<sub>2</sub>H per macrocycle. Analysis by gel permeation chromatography and fluorescence spectroscopy revealed a cooperative self-assembly mechanism. Nanofibers obtained by touch-spinning the pyridinium-based nanotubes exhibit Young’s moduli of 1.48 GPa, which exceeds that of many synthetic polymers and biological filaments. These findings will enable the design of structurally diverse nanotubes from synthetically accessible macrocycles. </p>


Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 404
Author(s):  
Alexandru Amărioarei ◽  
Frankie Spencer ◽  
Gefry Barad ◽  
Ana-Maria Gheorghe ◽  
Corina Iţcuş ◽  
...  

Current advances in computational modelling and simulation have led to the inclusion of computer scientists as partners in the process of engineering of new nanomaterials and nanodevices. This trend is now, more than ever, visible in the field of deoxyribonucleic acid (DNA)-based nanotechnology, as DNA’s intrinsic principle of self-assembly has been proven to be highly algorithmic and programmable. As a raw material, DNA is a rather unremarkable fabric. However, as a way to achieve patterns, dynamic behavior, or nano-shape reconstruction, DNA has been proven to be one of the most functional nanomaterials. It would thus be of great potential to pair up DNA’s highly functional assembly characteristics with the mechanic properties of other well-known bio-nanomaterials, such as graphene, cellulos, or fibroin. In the current study, we perform projections regarding the structural properties of a fibril mesh (or filter) for which assembly would be guided by the controlled aggregation of DNA scaffold subunits. The formation of such a 2D fibril mesh structure is ensured by the mechanistic assembly properties borrowed from the DNA assembly apparatus. For generating inexpensive pre-experimental assessments regarding the efficiency of various assembly strategies, we introduced in this study a computational model for the simulation of fibril mesh assembly dynamical systems. Our approach was based on providing solutions towards two main circumstances. First, we created a functional computational model that is restrictive enough to be able to numerically simulate the controlled aggregation of up to 1000s of elementary fibril elements yet rich enough to provide actionable insides on the structural characteristics for the generated assembly. Second, we used the provided numerical model in order to generate projections regarding effective ways of manipulating one of the the key structural properties of such generated filters, namely the average size of the openings (gaps) within these meshes, also known as the filter’s aperture. This work is a continuation of Amarioarei et al., 2018, where a preliminary version of this research was discussed.


ACS Omega ◽  
2021 ◽  
Author(s):  
Juan M. Garcia-Garfido ◽  
Javier Enríquez ◽  
Ignacio Chi-Durán ◽  
Iván Jara ◽  
Leonardo Vivas ◽  
...  

2016 ◽  
Vol 40 (1) ◽  
pp. 571-577 ◽  
Author(s):  
Lu-feng Yang ◽  
De-qing Chu ◽  
Hui-lou Sun ◽  
Ge Ge

A proposed hierarchical self-assembly mechanism of the formation of flower-like vaterite superstructures.


2004 ◽  
Vol 2004 (1) ◽  
pp. 51-62 ◽  
Author(s):  
Mourad Elhabiri ◽  
Josef Hamacek ◽  
Jean-Claude G. Bünzli ◽  
Anne-Marie Albrecht-Gary

2017 ◽  
Vol 29 (3) ◽  
pp. 703-713 ◽  
Author(s):  
Błażej Dziuk ◽  
Christopher G. Gianopoulos ◽  
Krzysztof Ejsmont ◽  
Bartosz Zarychta

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