Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-23T06:34:10.871Z Has data issue: false hasContentIssue false

Self-Assembly of Icosahedral Viral Capsids: the CombinatorialAnalysis Approach

Published online by Cambridge University Press:  05 October 2011

R. Kerner*
Affiliation:
LPTMC, Université Pierre et Marie Curie, CNRS UMR 7600, Tour 23, 5-ème , Boite 121, 4 Place Jussieu, 75005 Paris, France
*
Get access

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.

Type
Research Article
Copyright
© EDP Sciences, 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

D. D. Richman, R. J. Whitley, F. G. Hayden. Clinical Virology. (second edition); ASM Press, Washington DC, 2009.
M.C.M. Coxeter. “Regular polytopes", Methuen and Cř, London, 1948.
M. Eigen, 1971, Selforganization of matter and the evolution of biological molecules, Springer-Verlag, Die Natutwissenschaften, 58 heft 10,
Kroto, H., Heath, J. R., O’Brien, S. C., Curl, R. F., Smalley, R. E.. C60: Buckminsterfullerene. Nature, 318 (1995), 162163. CrossRefGoogle Scholar
Caspar, D. L. D., Klug, A.. Physical Principles in the Construction of Regular Viruses. Cold Spring Harbor Symp. Quant. Biology, 27 (1962), No 1, 124. CrossRefGoogle ScholarPubMed
Zlotnick, A.. To Build a Virus Capsid : An Equilibrium Model of the Self Assembly of Polyhedral Protein Complexes. J. Mol. Biology, 241 (1994), 5967. CrossRefGoogle ScholarPubMed
Larson, S. B.. Refined structure of satellite tobacco mosaic virus at 1.8 A resolution. Journal of Molecular Biology, 277 (1998), 3759. CrossRefGoogle ScholarPubMed
McGeogh, D. J., Davison, A. J.. The descent of human herpesvirus. 8.Semin. Cancer Biology, 9 (1999), 201209. CrossRefGoogle Scholar
D. J. McGeogh, A. J. Davison. The molecular evolutionary history of the herpesviruses: origins and evolution of viruses. Academic Press Ltd., London, 1999.
Stewart, P. L., Burnett, R. M., Cyrklaff, M., Fuller, S. D.. Image reconstruction reveals the complex molecular organization of adenovirus. Cell, 67 (1991), 145154. CrossRefGoogle Scholar
Trus, B. L.. Capsid structure of Kaposi’s sarcoma-associated herpesvirus, a gammaherpesvirus, compared to those of an alphaherpesvirus, herpes simplex virus type 1, and a a Betaherpesvirus, Cytomegalovirus. Journal of Virology, 75 (2001), No 6, 28792890. CrossRefGoogle Scholar
Wang, Q., Lin, T., Tang, L., Johnson, J. E., Finn, M. G.. Icosahedral Virus Particles as Addressable Nanoscale Building Blocks. Angewandte Chemie, 114 (2002), No 3, 477480. 3.0.CO;2-2>CrossRefGoogle Scholar
Hill, H. R., Stonehouse, N. J., Fonseca, S. A., Stockley, P.. Analysis of phage MS2 coat protein mutants expressed from a reconstituted phagemid reveals that proline 78 is essential for viral infectivity. Journal of Molecular Biology, 266, (1997), 17. CrossRefGoogle ScholarPubMed
Prevelige, P. E., Thomas, D., King, J.. Nucleation and growth phases in the polymerization of coat and scaffolding subunits into icosahedral procapsid shells. Biophys. Journal, 64 (1993), 824835. CrossRefGoogle ScholarPubMed
Buckley, B., Silva, S., Singh, S.. Nucleotide sequence and in vitro expression of the capsid protein gene of tobacco ringspot virus. Virus Research, 30 (1993), 335349. CrossRefGoogle ScholarPubMed
Twarock, R.. A tiling approach to virus capsid assembly explaining a structural puzzle in virology. Journal of Theoretical Biology, 226 (2004), No 4, 477482. CrossRefGoogle ScholarPubMed
R. Kerner. The principle of self-similarity, in “ Current Problems in Condensed Matter”, ed. J. Moran-Lopez, (1998), 323–341.
Kerner, R.. Model of viral capsid growth. Journal Computational and Mathematical Methods in Medicine, 6 (2007), Issue 2, 9597. Google Scholar
Kerner, R.. Classification and evolutionary trends of icosahedral viral capsids. Journal Computational and Mathematical Methods in Medicine, 9 (2008), Issue 3 & 4, 175181. CrossRefGoogle Scholar
R. Kerner. Models of Agglomeration and Glass Transition. Imperial College Press, 2007.