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P. Kramer, M. Schlottmann (1989)
Dualisation of Voronoi domains and Klotz construction: a general method for the generation of proper space fillingsJournal of Physics A, 22
P. Hopper, Stephen Harrison, Robert Sauer (1984)
Structure of tomato bushy stunt virus. V. Coat protein sequence determination and its structural implications.Journal of molecular biology, 177 4
W. Scherrer (1946)
Die Einlagerung eines regulären Vielecks in ein Gitter.Elemente Der Mathematik, 1
P. Stockley, Ó. Rolfsson, G. Thompson, Gabriella Basnak, S. Francese, N. Stonehouse, S. Homans, A. Ashcroft (2007)
A simple, RNA-mediated allosteric switch controls the pathway to formation of a T=3 viral capsid.Journal of molecular biology, 369 2
J. Speir, S. Munshi, Guojiao Wang, T. Baker, John Johnson (1995)
Structures of the native and swollen forms of cowpea chlorotic mottle virus determined by X-ray crystallography and cryo-electron microscopy.Structure, 3 1
J. Hogle, Tomas Kirchhausen, Stephen Harrison (1983)
Divalent cation sites in tomato bushy stunt virus. Difference maps at 2-9 A resolution.Journal of molecular biology, 171 1
F. Tama, C. Brooks (2002)
The mechanism and pathway of pH induced swelling in cowpea chlorotic mottle virus.Journal of molecular biology, 318 3
K. Valegård, L. Liljas, K. Fridborg, T. Unge (1990)
The three-dimensional structure of the bacterial virus MS2Nature, 345
(1991)
Nature (London), 354, 278–284
Victoria Morton, E. Dykeman, N. Stonehouse, A. Ashcroft, R. Twarock, P. Stockley (2010)
The impact of viral RNA on assembly pathway selection.Journal of molecular biology, 401 2
S. Larson, J. Day, A. Greenwood, A. McPherson (1998)
Refined structure of satellite tobacco mosaic virus at 1.8 A resolution.Journal of molecular biology, 277 1
S. Wynne, R. Crowther, A. Leslie (1999)
The crystal structure of the human hepatitis B virus capsid.Molecular cell, 3 6
Caspar (1962)
1Cold Spring Harb. Symp. Quant. Biol., 27
Ó. Rolfsson, K. Toropova, N. Ranson, P. Stockley (2010)
Mutually-induced conformational switching of RNA and coat protein underpins efficient assembly of a viral capsid.Journal of molecular biology, 401 2
(2011)
Acta Cryst
(2008)
Development Core Team (2008). R: a Language and Environment
R. Liddington, R. Liddington, Youwei Yan, Youwei Yan, J. Moulai, J. Moulai, Roland Sahli, T. Benjamin, S. Harrison, S. Harrison (1991)
Structure of simian virus 40 at 3.8-Å resolutionNature, 354
Basnak (2010)
924J. Mol. Biol., 395
(2012)
Proc
Bruijn (1981)
53Nederl. Akad. Wetensch. Indag. Math., 43
G. Indelicato, T. Keef, P. Cermelli, D. Salthouse, R. Twarock, G. Zanzotto (2012)
Structural transformations in quasicrystals induced by higher dimensional lattice transitionsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468
Min Wu, William Brown, Peter Stockley (1995)
Cell-specific delivery of bacteriophage-encapsidated ricin A chain.Bioconjugate chemistry, 6 5
(2009)
Nucleic Acids Res
A. Janner (2010)
Form, symmetry and packing of biomacromolecules. I. Concepts and tutorial examples.Acta crystallographica. Section A, Foundations of crystallography, 66 Pt 3
K. Toropova, Gabriella Basnak, R. Twarock, P. Stockley, N. Ranson (2008)
The three-dimensional structure of genomic RNA in bacteriophage MS2: implications for assembly.Journal of molecular biology, 375 3
Subhashini Jagu, Kihyuck Kwak, R. Garcea, R. Roden (2010)
Vaccination with multimeric L2 fusion protein and L1 VLP or capsomeres to broaden protection against HPV infection.Vaccine, 28 28
S. Worm, R. Koning, Hans Warmenhoven, H. Koerten, J. Duin (2006)
Cryo electron microscopy reconstructions of the Leviviridae unveil the densest icosahedral RNA packing possible.Journal of molecular biology, 363 4
R. Zandi, D. Reguera, R. Bruinsma, W. Gelbart, J. Rudnick (2004)
Origin of icosahedral symmetry in viruses.Proceedings of the National Academy of Sciences of the United States of America, 101 44
Carrillo-Tripp (2009)
D436Nucleic Acids Res., 37
K. Tārs, M. Bundule, K. Fridborg, L. Liljas (1997)
The crystal structure of bacteriophage GA and a comparison of bacteriophages belonging to the major groups of Escherichia coli leviviruses.Journal of molecular biology, 271 5
A. Janner (2011)
Form, symmetry and packing of biomacromolecules. V. Shells with boundaries at anti-nodes of resonant vibrations in icosahedral RNA viruses.Acta crystallographica. Section A, Foundations of crystallography, 67 Pt 6
F. Crick, J. Watson (1956)
Structure of Small VirusesNature, 177
Bamford (2005)
655Curr. Opin. Struct. Biol., 15
A. Janner (2010)
Form, symmetry and packing of biomacromolecules. II. Serotypes of human rhinovirus.Acta crystallographica. Section A, Foundations of crystallography, 66 Pt 3
Bruijn (1981)
39Nederl. Akad. Wetensch. Indag. Math., 43
E. Dykeman, O. Sankey (2010)
Atomistic modeling of the low-frequency mechanical modes and Raman spectra of icosahedral virus capsids.Physical review. E, Statistical, nonlinear, and soft matter physics, 81 2 Pt 1
K. Valegård, James Murray, N. Stonehouse, S. Worm, P. Stockley, L. Liljas (1997)
The three-dimensional structures of two complexes between recombinant MS2 capsids and RNA operator fragments reveal sequence-specific protein-RNA interactions.Journal of molecular biology, 270 5
E. Dykeman, N. Grayson, K. Toropova, N. Ranson, P. Stockley, R. Twarock (2011)
Simple rules for efficient assembly predict the layout of a packaged viral RNA.Journal of molecular biology, 408 3
A. Janner (2011)
Form, symmetry and packing of biomacromolecules. IV. Filled capsids of cowpea, tobacco, MS2 and pariacoto RNA viruses.Acta crystallographica. Section A, Foundations of crystallography, 67 Pt 6
T. Keef, R. Twarock (2009)
Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple virusesJournal of Mathematical Biology, 59
(1946)
Elemente der Mathematik, 1, 97–98
A. Janner (2011)
Form, symmetry and packing of biomacromolecules. III. Antigenic, receptor and contact binding sites in picornaviruses.Acta crystallographica. Section A, Foundations of crystallography, 67 Pt 2
J. Lewis, G. Destito, A. Zijlstra, Maria Gonzalez, J. Quigley, M. Manchester, H. Stuhlmann (2006)
Viral nanoparticles as tools for intravital vascular imagingNature Medicine, 12
R. Team (2014)
R: A language and environment for statistical computing.MSOR connections, 1
M. Senechal (1995)
Quasicrystals and geometry
Hongjun Liu, Chun-yu Qu, John Johnson, D. Case (2003)
Pseudo-atomic models of swollen CCMV from cryo-electron microscopy data.Journal of structural biology, 142 3
R. Twarock (2004)
A tiling approach to virus capsid assembly explaining a structural puzzle in virology.Journal of theoretical biology, 226 4
K. Toropova, P. Stockley, N. Ranson (2011)
Visualising a viral RNA genome poised for release from its receptor complex.Journal of molecular biology, 408 3
A. Olson, G. Bricogne, S. Harrison (1983)
Structure of tomato bushy stunt virus IVThe virus particle at 29resolutionJournal of Molecular Biology
G. Indelicato, P. Cermelli, D. Salthouse, Simone Racca, G. Zanzotto, R. Twarock (2012)
A crystallographic approach to structural transitions in icosahedral virusesJournal of Mathematical Biology, 64
Brooks (2009)
1545J. Comput. Chem., 30
Understanding the fundamental principles of virus architecture is one of the most important challenges in biology and medicine. Crick and Watson were the first to propose that viruses exhibit symmetry in the organization of their protein containers for reasons of genetic economy. Based on this, Caspar and Klug introduced quasi‐equivalence theory to predict the relative locations of the coat proteins within these containers and classified virus structure in terms of T‐numbers. Here it is shown that quasi‐equivalence is part of a wider set of structural constraints on virus structure. These constraints can be formulated using an extension of the underlying symmetry group and this is demonstrated with a number of case studies. This new concept in virus biology provides for the first time predictive information on the structural constraints on coat protein and genome topography, and reveals a previously unrecognized structural interdependence of the shapes and sizes of different viral components. It opens up the possibility of distinguishing the structures of different viruses with the same T‐number, suggesting a refined viral structure classification scheme. It can moreover be used as a basis for models of virus function, e.g. to characterize the start and end configurations of a structural transition important for infection.
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: Jan 1, 2013
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