On the geometry of regular icosahedral capsids containing disymmetrons
On the geometry of regular icosahedral capsids containing disymmetrons
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DOI：
10.1016/j.jsb.2017.01.001
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发表时间：
2017-03-01
影响因子：
3
通讯作者：
Schaposnik, Laura P.
中科院分区：
文献类型：
--
作者：
Ang, Kai-Siang;Schaposnik, Laura P.
大的二十面体病毒衣壳是由有组织排列的衣壳体-有三种类型的对称子：双对称子、三对称子和五对称子，它们具有不同的形状，分别以二十面体的2重、3重和5重对称轴为中心。Sinkovits和Baker（2010）给出了一个分类，所有可能的方法来建立一个二十面体结构，只从三角形和五对称，这需要三角数T是奇数。在本文中，我们将双对称获得的几何分类的大型二十面体病毒形成的定期五，三，和双对称，给出所有数学上一致的和理论上可能的解决方案。对于每一类的解决方案，我们进一步提供了公式的大小和奇偶校验限制h，k和T数。我们还提出了几种方法，其中不变量可用于对给定的配置进行分类。(C)2017爱思唯尔公司All rights reserved.
Large icosahedral virus capsids are composed of symmetrons, organized arrangements of capsomers. There are three types of symmetrons: disymmetrons, trisymmetrons, and pentasymmetrons, which have different shapes and are centered on the icosahedral 2-fold, 3-fold and 5-fold axes of symmetry, respectively. Sinkovits and Baker (2010) gave a classification of all possible ways of building an icosahedral structure solely from trisymmetrons and pentasymmetrons, which requires the triangulation number T to be odd. In the present paper we incorporate disymmetrons to obtain a geometric classification of large icosahedral viruses formed by regular penta-,tri-, and disymmetrons, giving all mathematically consistent and theoretically possible solutions. For every class of solutions, we further provide formulas for symmetron sizes and parity restrictions on h, k, and T numbers. We also present several methods in which invariants may be used to classify a given configuration. (C) 2017 Elsevier Inc. All rights reserved.