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Virus shapes and buckling transitions in spherical shells
KTH, Superseded Departments, Physics.ORCID iD: 0000-0002-9881-7857
2003 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 68, no 5Article in journal (Refereed) Published
Abstract [en]

We show that the icosahedral packings of protein capsomeres proposed by Caspar and Klug for spherical viruses become unstable to faceting for sufficiently large virus size, in analogy with the buckling instability of disclinations in two-dimensional crystals. Our model, based on the nonlinear physics of thin elastic shells, produces excellent one-parameter fits in real space to the full three-dimensional shape of large spherical viruses. The faceted shape depends only on the dimensionless Foppl-von Karman number gamma=YR2/kappa, where Y is the two-dimensional Young's modulus of the protein shell, kappa is its bending rigidity, and R is the mean virus radius. The shape can be parametrized more quantitatively in terms of a spherical harmonic expansion. We also investigate elastic shell theory for extremely large gamma, 10(3)

Place, publisher, year, edition, pages
2003. Vol. 68, no 5
Keyword [en]
bond-orientational order, icosahedral viruses, membranes, force, reconstruction, surfaces, vesicles, liquids, dna
Identifiers
URN: urn:nbn:se:kth:diva-23018DOI: 10.1103/PhysRevE.68.051910ISI: 000187183400047OAI: oai:DiVA.org:kth-23018DiVA: diva2:341716
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Lidmar, Jack

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