# Virus shapes and buckling transitions in spherical shells.

@article{Lidmar2003VirusSA, title={Virus shapes and buckling transitions in spherical shells.}, author={J Lidmar and Leonid A. Mirny and David R. Nelson}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2003}, volume={68 5 Pt 1}, pages={ 051910 } }

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… Expand

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A change in γ consistent with the buckling transition theory is observed and also a significant reduction in κ, which facilitates formation of the faceted state, which is observed for the T = 7 capsids; however, there is no such correlation for the smaller T = 3 viruses. Expand

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Relevance of capsid structure in the buckling and maturation of spherical viruses.

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This work studies how the capsid shape and the buckling transition depend on the triangulation number T and the icosahedral class P of the virus structure, and finds that, for small shells, capsids with P = 1 are most likely to produce polyhedral shapes that minimize their energy and accumulated stress, whereas viruses withP = 3 prefer to remain spherical. Expand

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The shapes of spherical viruses can be understood from the perspective of elasticity theory of thin two-component shells and a theory of shape transformations of an icosahedral shell upon addition of a softer, but still crystalline, material onto its surface is developed. Expand

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The Caspar-Klug construction is extended to the archaeal viruses and a buckling transition as a function of a modified Föppl-von Kármán number is described and it is shown how changes in γ^{★} may initiate the tail formation in the Acidianus two-tailed Archaeal virus. Expand

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