“全五聚体”病毒结构的五角形包装模型。
Pentagon packing models for "all-pentamer" virus structures.
作者信息
Tarnai T, Gáspár Z, Szalai L
机构信息
Technical University of Budapest, Department of Civil Engineering Mechanics, Hungary.
出版信息
Biophys J. 1995 Aug;69(2):612-8. doi: 10.1016/S0006-3495(95)79938-6.
A connection is made between 1) the observed structures of virus capsids whose capsomers are all pentamers and 2) the mathematical problem of determination of the largest size of a given number of equal regular spherical pentagons that can be packed on the surface of the unit sphere without overlapping. It is found that papillomaviruses provide the conjectured solution to the spherical pentagon packing problem for 72 pentagons. Thus, a study of some virus structures has given additional insight into a mathematical problem. At the same time this mathematical problem enables prediction of an octahedral form of papillomavirus particles consisting of 24 pentamers. It is also found that the various tubular and spherical "all-pentamer" virus structures identified so far can be represented by closet-packing arrangements of equal morphological units composed of equal regular pentagons on a cylinder and on a sphere.
- 观察到的病毒衣壳结构（其衣壳粒均为五聚体）与确定给定数量相等的正规则球形五边形在单位球面上不重叠堆积的最大尺寸这一数学问题之间建立了联系。研究发现，乳头瘤病毒为72个五边形的球形五边形堆积问题提供了推测的解决方案。因此，对一些病毒结构的研究为一个数学问题提供了更多的见解。同时，这个数学问题能够预测由24个五聚体组成的乳头瘤病毒颗粒的八面体形式。还发现，到目前为止所鉴定出的各种管状和球形“全五聚体”病毒结构，可以用由相等的正五边形组成的相等形态单位在圆柱体和球体上的密堆积排列来表示。
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