Mechanical properties of viral capsids.

Viruses are known to tolerate wide ranges of pH and salt conditions and to withstand internal pressures as high as 100 atmospheres . In this paper we investigate the mechanical properties of viral capsids, calling explicit attention to the inhomogeneity of the shells that is inherent to their discrete and polyhedral nature. We calculate the distribution of stress in these capsids and analyze their response to isotropic internal pressure (arising, for instance, from genome confinement and/or osmotic activity). We compare our results with appropriate generalizations of classical (i.e., continuum) elasticity theory. We also examine competing mechanisms for viral shell failure, e.g., in-plane crack formation vs radial bursting. The biological consequences of the special stabilities and stress distributions of viral capsids are also discussed.

[1]  William M Gelbart,et al.  Forces and pressures in DNA packaging and release from viral capsids. , 2003, Biophysical journal.

[2]  William M. Gelbart,et al.  Osmotic pressure inhibition of DNA ejection from phage , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[3]  John E. Johnson,et al.  Pseudo-atomic models of swollen CCMV from cryo-electron microscopy data. , 2003, Journal of structural biology.

[4]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[5]  H. Scheraga,et al.  Monte Carlo-minimization approach to the multiple-minima problem in protein folding. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[6]  E. M. Lifshitz,et al.  Theory of Elasticity: Vol. 7 of Course of Theoretical Physics , 1960 .

[7]  David Reguera,et al.  Viral self-assembly as a thermodynamic process. , 2002, Physical review letters.

[8]  A. Klug,et al.  Physical principles in the construction of regular viruses. , 1962, Cold Spring Harbor symposia on quantitative biology.

[9]  V S Reddy,et al.  Energetics of quasiequivalence: computational analysis of protein-protein interactions in icosahedral viruses. , 1998, Biophysical journal.

[10]  William M. Gelbart,et al.  Effect of temperature and small‐scale defects on the strength of solids , 1991 .

[11]  W. Gelbart,et al.  Origin of icosahedral symmetry in viruses. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[12]  J. Witz,et al.  The formation of empty shells upon pressure induced decapsidation of turnip yellow mosaic virus , 2001, Archives of Virology.

[13]  G. Weber,et al.  Inactivation of simian immunodeficiency virus by hydrostatic pressure. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[14]  John E. Johnson,et al.  Structures of the native and swollen forms of cowpea chlorotic mottle virus determined by X-ray crystallography and cryo-electron microscopy. , 1995, Structure.

[15]  John E. Johnson,et al.  Comparison of the native CCMV virion with in vitro assembled CCMV virions by cryoelectron microscopy and image reconstruction. , 1998, Virology.

[16]  Rob Phillips,et al.  Mechanics of DNA packaging in viruses , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[17]  Roger Taylor,et al.  Influence of Shear Stress on Screw Dislocations in a Model Sodium Lattice , 1971 .

[18]  Carlos Bustamante,et al.  Supplemental data for : The Bacteriophage ø 29 Portal Motor can Package DNA Against a Large Internal Force , 2001 .

[19]  A. Helenius,et al.  Reconstitution of Semliki forest virus membrane , 1977, The Journal of cell biology.

[20]  C. Teschke,et al.  Penton release from P22 heat-expanded capsids suggests importance of stabilizing penton-hexon interactions during capsid maturation. , 2003, Biophysical journal.

[21]  D. Wales.  The energy landscape as a unifying theme in molecular science , 2005, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[22]  S. Namilae,et al.  Local elastic properties of carbon nanotubes in the presence of Stone-Wales defects , 2004 .

[23]  M. Bowick,et al.  Crystalline order on a sphere and the generalized Thomson problem. , 2002, Physical review letters.

[24]  T. Xiao,et al.  Non-linear elastic response of fullerene balls under uniform and axial deformations , 2003 .

[25]  David R Nelson,et al.  Virus shapes and buckling transitions in spherical shells. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[27]  D. Wales.  Balanced geometrics and structural trends in covalent, ionic, and van der Waals clusters , 1990 .

[28]  S. Larson,et al.  Structural transitions of satellite tobacco mosaic virus particles. , 2001, Virology.

[29]  W. Chiu,et al.  Roles of Triplex and Scaffolding Proteins in Herpes Simplex Virus Type 1 Capsid Formation Suggested by Structures of Recombinant Particles , 1999, Journal of Virology.

[30]  Jonathan P. K. Doye,et al.  TOPICAL REVIEW: The effect of the range of the potential on the structure and stability of simple liquids: from clusters to bulk, from sodium to ? , 1996 .

[31]  James F. Lutsko,et al.  Stress and elastic constants in anisotropic solids: Molecular dynamics techniques , 1988 .

[32]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

[33]  T. Odijk,et al.  Hexagonally packed DNA within bacteriophage T7 stabilized by curvature stress. , 1998, Biophysical journal.

[34]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[35]  J. Doye,et al.  Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms , 1997, cond-mat/9803344.

[36]  Timothy J. Williams,et al.  Possible Global Minimum Lattice Configurations for Thomson`s Problem of Charges on a Sphere , 1997 .

[37]  Dong Qian,et al.  Mechanics of carbon nanotubes , 2002 .

[38]  Rodney S. Ruoff,et al.  The bulk modulus of C60 molecules and crystals: A molecular mechanics approach , 1991 .

[39]  T. Baker,et al.  Adding the Third Dimension to Virus Life Cycles: Three-Dimensional Reconstruction of Icosahedral Viruses from Cryo-Electron Micrographs , 2000, Microbiology and Molecular Biology Reviews.

[40]  William M. Gelbart,et al.  DNA packaging and ejection forces in bacteriophage , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[41]  W. Gelbart,et al.  Stress‐induced failure and melting of ideal solids , 1993 .

[42]  V. Bloomfield,et al.  Packaging of DNA in bacteriophage Heads: Some considerations on energetics , 1978, Biopolymers.

[43]  G. Wuite,et al.  Bacteriophage capsids: tough nanoshells with complex elastic properties. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[44]  V. Georgiev.  Virology , 1955, Nature.