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Self-Assembly of Icosahedral Viral Capsids: the CombinatorialAnalysis Approach

Published online by Cambridge University Press:  05 October 2011

R. Kerner
R. Kerner*
Affiliation:
LPTMC, Université Pierre et Marie Curie, CNRS UMR 7600, Tour 23, 5-ème , Boite 121, 4 Place Jussieu, 75005 Paris, France
*
1 E-mail: richard.kerner@upmc.fr
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Abstract

An analysis of all possible icosahedral viral capsids is proposed. It takes into accountthe diversity of coat proteins and their positioning in elementary pentagonal andhexagonal configurations, leading to definite capsid size. We show that theself-organization of observed capsids during their production implies a definitecomposition and configuration of elementary building blocks. The exact number of differentprotein dimers is related to the size of a given capsid, labeled by itsT-number. Simple rules determining these numbers for each value ofT are deduced and certain consequences concerning the probabilities ofmutations and evolution of capsid viruses are discussed.

Keywords

viral capsid growthself-organized agglomerationsymmetry
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 6: Biomathematics Education , 2011 , pp. 136 - 158
Copyright
© EDP Sciences, 2011

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