A crystallographic approach to structural transitions in icosahedral viruses

DOI10.1007/s00285-011-0425-5zbMath1303.92065OpenAlexW2054984505WikidataQ51564972 ScholiaQ51564972MaRDI QIDQ455716

David G. Salthouse, Giuliana Indelicato, Paolo Cermelli, Simone Racca, Reidun Twarock, Giovanni Zanzotto

Publication date: 22 October 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-011-0425-5

zbMATH Keywords

bain strainphase transitions in quasicrystalsstructural transitions in viral capsidsvirus structure

Mathematics Subject Classification ID

Crystals in solids (74N05) Physiological, cellular and medical topics (92C99)

Related Items (8)

Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups ⋮ An algorithm for the arithmetic classification of multilattices ⋮ Viruses and fullerenes – symmetry as a common thread? ⋮ On the subgroup structure of the hyperoctahedral group in six dimensions ⋮ 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

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• Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple viruses
• Beyond Space Groups: the Arithmetic Symmetry of Deformable Multilattices
• An algorithm to find generators for the normalizer of an n-dimensional crystallographic point group in Gl(n,Z)

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