Compactness determines the success of cube and octahedron self-assembly.

Compactness determines the success of cube and octahedron self-assembly.
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DOI:
10.1371/journal.pone.0004451
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发表时间:
2009
期刊:
影响因子:
3.7
通讯作者:
Gracias DH
Gracias DH
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Azam A;Leong TG;Zarafshar AM;Gracias DH

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大自然利用自组装来制造从原子到宏观尺度的结构。自组装已成为工程领域的一种范例,它能够从基本构建块高度并行地制造复杂且通常是三维的结构。尽管这种自组装制造工艺已经进行了多次演示,但控制先验设计、良率和缺陷容限的规则仍然未知。在本文中,我们设计了第一个模型实验系统,用于系统分析几何形状对从系留的多组件二维 (2D) 网络自组装 200 和 500 µm 立方体和八面体的影响。我们检查了所有 11 个可以折叠成立方体和八面体的 2D 网络的自组装,我们观察到网络的紧凑性与组装成功之间存在惊人的相关性。网络使用了两种紧凑性度量:顶点或拓扑连接的数量以及回转半径。自组装过程的成功与否是通过测量良率和对缺陷进行分类来确定的。我们观察到随着回转半径的减小和拓扑连接性的增加,自组装的成功率增加,这类似于描述紧凑性在蛋白质折叠中的作用的理论模型。由于我们的系统和蛋白质折叠系统之间在大小和规模上的差异,我们假设这个假设对于一般的自组装系统可能更普遍。除了在智力上有趣之外,这些发现还可以通过允许先验选择可以高产量自组装的网络来组装更复杂的多面体结构(例如十二面体)。
Nature utilizes self-assembly to fabricate structures on length scales ranging from the atomic to the macro scale. Self-assembly has emerged as a paradigm in engineering that enables the highly parallel fabrication of complex, and often three-dimensional, structures from basic building blocks. Although there have been several demonstrations of this self-assembly fabrication process, rules that govern a priori design, yield and defect tolerance remain unknown. In this paper, we have designed the first model experimental system for systematically analyzing the influence of geometry on the self-assembly of 200 and 500 µm cubes and octahedra from tethered, multi-component, two-dimensional (2D) nets. We examined the self-assembly of all eleven 2D nets that can fold into cubes and octahedra, and we observed striking correlations between the compactness of the nets and the success of the assembly. Two measures of compactness were used for the nets: the number of vertex or topological connections and the radius of gyration. The success of the self-assembly process was determined by measuring the yield and classifying the defects. Our observation of increased self-assembly success with decreased radius of gyration and increased topological connectivity resembles theoretical models that describe the role of compactness in protein folding. Because of the differences in size and scale between our system and the protein folding system, we postulate that this hypothesis may be more universal to self-assembling systems in general. Apart from being intellectually intriguing, the findings could enable the assembly of more complicated polyhedral structures (e.g. dodecahedra) by allowing a priori selection of a net that might self-assemble with high yields.
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