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
        }
}
  • J. Lidmar, L. Mirny, D. Nelson
  • Published 30 June 2003
  • Physics, Biology, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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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TLDR
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
Kirigami and the Caspar-Klug construction for viral shells with negative Gauss curvature.
TLDR
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
Buckling transition in icosahedral shells subjected to volume conservation constraint and pressure: relations to virus maturation.
  • A. Šiber
  • Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2006
TLDR
Several scenarios that may explain the experimentally observed feature of mature viruses being more aspherical (facetted) from their immature precursors are discussed, and predictions for the elastic properties of viral coatings are obtained on the basis of the presented studies. Expand
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