Virus shapes and buckling transitions in spherical shells.

  title={Virus shapes and buckling transitions in spherical shells.},
  author={Jack Lidmar and Leonid A. Mirny and David R. Nelson},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={68 5 Pt 1},
  • J. LidmarL. MirnyD. Nelson
  • Published 30 June 2003
  • Engineering
  • 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… 

Mechanical deformation of spherical viruses with icosahedral symmetry.

The mechanical properties of crystalline shells of icosahedral symmetry on a substrate under a uniaxial applied force by computer simulations are studied to predict the elastic response for small deformations, and the buckling transitions at large deformations.

Mechanical properties of icosahedral virus capsids

Virus capsids are self-assembled protein shells in the size range of 10 to 100  nanometers. The shells of DNA-viruses have to sustain large internal pressures while encapsulating and protecting the

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

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.

Elasticity theory and shape transitions of viral shells.

It is found that the transition from icosahedral to spherocylindrical symmetry is continuous or weakly first order near the onset of buckling, leading to extensive shape degeneracy.

Buckling transitions and soft-phase invasion of two-component icosahedral shells.

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.

Osmotically induced deformation of capsid-like icosahedral vesicles

Comparison of experimental results with Monte Carlo simulations provides a first estimate for the conditions of shell disruption, and suggests it is predominantly driven by curvature rather than two-dimensional stretching or compression.

Elastic properties and mechanical stability of chiral and filled viral capsids.

The elasticity and mechanical stability of empty and filled viral capsids under external force loading are studied in a combined analytical and numerical approach and it is found that generally skew shells have lower stretching energy than nonchiral ones.

Kirigami and the Caspar-Klug construction for viral shells with negative Gauss curvature.

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.

Buckling transition in icosahedral shells subjected to volume conservation constraint and pressure: relations to virus maturation.

  • A. Šiber
  • Engineering
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2006
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.

Soft modes near the buckling transition of icosahedral shells.

This work interprets the transition from smooth to faceted as a soft-mode transition inIcosahedral shells, and defines elastic susceptibilities as the response to forces applied at vertices, edges, and faces of an icosahedron.



Phase transitions in flexible polymeric surfaces.

  • KantorNelson
  • Materials Science
    Physical review. A, General physics
  • 1987
The results demonstrate the presence of a finite-temperature (second-order) crumpling transition, and provide a lower bound on a related transition in real self-avoiding membranes.

Defects in flexible membranes with crystalline order.

  • SeungNelson
  • Materials Science
    Physical review. A, General physics
  • 1988
Computer simulation of buckled defects confirms predictions of the disclination energies and gives evidence for a finite dislocation energy.

Virus Maturation Involving Large Subunit Rotations and Local Refolding

The structure of bacteriophage HK97 capsid, Head-II, was recently solved by crystallography, revealing a catenated cross-linked topology and the inner surface of Prohead-II is negatively charged, suggesting that the transition is triggered electrostatically by DNA packaging.

Grain Boundary Scars and Spherical Crystallography

Experimental investigations of the structure of two-dimensional spherical crystals find that crystals develop distinctive high-angle grain boundaries, or scars, not found in planar crystals above a critical system size.

Properties of ridges in elastic membranes

When a thin elastic sheet is confined to a region much smaller than its size the morphology of the resulting crumpled membrane is a network of straight ridges or folds that meet at sharp vertices. A

Polymorphism in the assembly of polyomavirus capsid protein VP1.

Configurations of fluid membranes and vesicles

Abstract Vesicles consisting of a bilayer membrane of amphiphilic lipid molecules are remarkably flexible surfaces that show an amazing variety of shapes of different symmetry and topology. Owing to

Viral self-assembly as a thermodynamic process.

A statistical thermodynamic model for viral self-assembly finds that icosahedral symmetry is not expected for viral capsids constructed from structurally identical protein subunits and that this symmetry requires (at least) two internal "switching" configurations of the protein.

Bond-orientational order in liquids and glasses

Bond-orientational order in molecular-dynamics simulations of supercooled liquids and in models of metallic glasses is studied. Quadratic and third-order invariants formed from bond spherical

Adding the Third Dimension to Virus Life Cycles: Three-Dimensional Reconstruction of Icosahedral Viruses from Cryo-Electron Micrographs

The success of cryo-electron microscopy in combination with three-dimensional image reconstruction for icosahedral viruses provides a firm foundation for future explorations of more-complex viral pathogens, including the vast number that are nonspherical or nonsymmetrical.