Topological chirality of a type of DNA and protein polyhedral links
| Autor: | Xiao-Sheng Cheng, Xian'an Jin |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Quantitative Biology::Biomolecules
High Energy Physics::Lattice Applied Mathematics Double crossover General Chemistry Topology Antiparallel (biochemistry) Planar graph Combinatorics symbols.namesake Polyhedron chemistry.chemical_compound chemistry symbols Bipartite graph Chirality (chemistry) DNA Mathematics |
| Zdroj: | Journal of Mathematical Chemistry. 53:1791-1807 |
| ISSN: | 1572-8897 0259-9791 |
| DOI: | 10.1007/s10910-015-0520-8 |
| Popis: | Polyhedral links, interlinked and interlocked architectures, have been proposed for the description and characterization of DNA and protein polyhedra. In this paper, we study the topological chirality of a type of DNA polyhedral links constructed by the strategy of “n-point stars” and a type of protein polyhedral links constructed by “three-cross curves and untwisted double-line” covering. Furthermore, we prove that links corresponding to bipartite plane graphs have antiparallel orientations, and under these orientations, their writhes are not zero. As a result, the type of double crossover DNA polyhedral links are topologically chiral. We also prove that the unoriented link corresponding to a connected, even, bipartite plane graph always has self-writhe 0. Using the Jones polynomial for unoriented links we derive two simple criteria for chirality of unoriented alternating links with self-writhe 0. By applying this criterion we show that 3-regular protein polyhedral links are also topologically chiral. Topological chirality always implies chemical chirality, hence the corresponding DNA and protein polyhedra are all chemically chiral. Our chiral criteria may be used to detect the topological chirality of more complicated DNA and protein polyhedral links that may be synthesized by chemists and biologists in the future. |
| Databáze: | OpenAIRE |
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