Limits of economy and fidelity for programmable assembly of size-controlled triply periodic polyhedra

• 成果类型: Article
• 署名作者: Duque, Carlos M.; Hall, Douglas M.; Tyukodi, Botond; Hagan, Michael F.; Santangelo, Christian D.; Grason, Gregory M.
• 署名单位: Max Planck Society; University of Massachusetts System; University of Massachusetts Amherst; University of Massachusetts System; University of Massachusetts Amherst; Babes Bolyai University from Cluj; Brandeis University; Syracuse University
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-10477
• DOI: 10.1073/pnas.2315648121
• 发表日期: 2024-04-30
• 关键词: photonic crystals; minimal-surfaces; dynamic pathways; dna; crystallography; nanostructures; polymorphism; membranes; defects; DESIGN

摘要

We propose and investigate an extension of the Caspar-Klug symmetry principles for viral capsid assembly to the programmable assembly of size -controlled triply periodic polyhedra, discrete variants of the Primitive, Diamond, and Gyroid cubic minimal surfaces. Inspired by a recent class of programmable DNA origami colloids, we demonstrate that the economy of design in these crystalline assemblies-in terms of the growth of the number of distinct particle species required with the increased size -scale (e.g., periodicity)-is comparable to viral shells. We further test the role of geometric specificity in these assemblies via dynamical assembly simulations, which show that conditions for simultaneously efficient and high-fidelity assembly require an intermediate degree of flexibility of local angles and lengths in programmed assembly. Off -target misassembly occurs via incorporation of a variant of disclination defects, generalized to the case of hyperbolic crystals. The possibility of these topological defects is a direct consequence of the very same symmetry principles that underlie the economical design, exposing a basic tradeoff between design economy and fidelity of programmable, size controlled assembly.