Dynamical implications of viral tiling theory. (English) Zbl 1398.92025
Summary: The Caspar-Klug classification of viruses whose protein shell, called viral capsid, exhibits icosahedral symmetry, has recently been extended to incorporate viruses whose capsid proteins are exclusively organised in pentamers. The approach, named ‘viral tiling theory’, is inspired by the theory of quasicrystals, where aperiodic Penrose tilings enjoy 5-fold and 10-fold local symmetries. This paper analyses the extent to which this classification approach informs dynamical properties of the viral capsids, in particular the pattern of Raman active modes of vibrations, which can be observed experimentally.
MSC:
| 92C10 | Biomechanics |
| 20C35 | Applications of group representations to physics and other areas of science |
| 52C20 | Tilings in \(2\) dimensions (aspects of discrete geometry) |
| 81V55 | Molecular physics |
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