Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple viruses

DOI10.1007/s00285-008-0228-5zbMath1311.92071OpenAlexW1968574239WikidataQ51864800 ScholiaQ51864800MaRDI QIDQ843305

T. Keef, Reidun Twarock

Publication date: 12 October 2009

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-008-0228-5

zbMATH Keywords

icosahedral symmetryviral capsidsCaspar-Klug theory

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Biochemistry, molecular biology (92C40) Protein sequences, DNA sequences (92D20) Other geometric groups, including crystallographic groups (20H15)

Related Items (11)

Extension of Caspar-Klug theory to higher order pentagonal polyhedra ⋮ Structural transformations in quasicrystals induced by higher dimensional lattice transitions ⋮ A crystallographic approach to structural transitions in icosahedral viruses ⋮ Symmetry methods in mathematical biology ⋮ C₇₀, C₈₀, C₉₀and carbon nanotubes by breaking of the icosahedral symmetry of C₆₀ ⋮ Viruses and fullerenes – symmetry as a common thread? ⋮ Alternative approaches to onion-like icosahedral fullerenes ⋮ Approximation of virus structure by icosahedral tilings ⋮ Orbits of crystallographic embedding of non-crystallographic groups and applications to virology ⋮ A Clifford algebraic framework for Coxeter group theoretic computations. ⋮ The Role of Symmetry in Conformational Changes of Viral Capsids: A Mathematical Approach

Cites Work

• Unnamed Item
• Blueprints for viral capsids in the family of polyomaviridae
• Affine extension of noncrystallographic Coxeter groups and quasicrystals
• Towards a classification of icosahedral viruses in terms of indexed polyhedra
• The Architecture of Viral Capsids Based on Tiling Theory

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