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Models of virus capsids containing 72 pentameric capsomeres

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Abstract

A simple model for describing the non-quasi-equivalent icosahedral virus capsid composed of 72 pentameric capsomeres is developed. By means of six-step operations, a new 4-gons polyhedron P is obtained which contains 72 pentagons, 80 trigons and 210 quadrilaterals. More importantly, it bears icosahedral symmetry. The rationality of the existence of the 4-gons polyhedron P is further discussed. The results show that this model can be used to represent the capsids of papovaviruses.

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Authors and Affiliations

  1. Department of Chemistry, State Key Laboratory of Applied Organic Chemistry, Lanzhou University, Lanzhou, 730000, People’s Republic of China

    Dan Lu, Pan-Pan Zhou & Wen-Yuan Qiu

  2. Center for Systems Biology, Soochow University, Suzhou, 215006, People’s Republic of China

    Dan Lu

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  1. Dan Lu
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  2. Pan-Pan Zhou
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  3. Wen-Yuan Qiu
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Correspondence to Wen-Yuan Qiu.

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Lu, D., Zhou, PP. & Qiu, WY. Models of virus capsids containing 72 pentameric capsomeres. J Math Chem 50, 996–1002 (2012). https://doi.org/10.1007/s10910-011-9947-8

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  • DOI: https://doi.org/10.1007/s10910-011-9947-8

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