Aperiodic crystals in biology

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Maciá Barber, Enrique Alfonso (2022) Aperiodic crystals in biology. Journal of physics-condensed matter, 34 (12). ISSN 0953-8984

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Official URL: http://dx.doi.org/10.1088/1361-648X/ac443d




Abstract

Biological systems display a broad palette of hierarchically ordered designs spanning over many orders of magnitude in size. Remarkably enough, periodic order, which profusely shows up in non-living ordered compounds, plays a quite subsidiary role in most biological structures, which can be appropriately described in terms of the more general aperiodic crystal notion instead. In this topical review I shall illustrate this issue by considering several representative examples, including botanical phyllotaxis, the geometry of cell patterns in tissues, the morphology of sea urchins, or the symmetry principles underlying virus architectures. In doing so, we will realize that albeit the currently adopted quasicrystal notion is not general enough to properly account for the rich structural features one usually finds in biological arrangements of matter, several mathematical tools and fundamental notions belonging to the aperiodic crystals science toolkit can provide a useful modeling framework to this end.


Item Type:Article
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©2022 IOP Publishing Ltd
I warmly thank M. Victoria Hernández for a critical reading of the manuscript.

Uncontrolled Keywords:Boerdijk-coxeter helix; X-ray-diffraction; Mosaic-virus; Light-scattering; Quasi-crystals; Phyllotaxis; Pattern; Protein; Phase; Cells; Aperiodic crystals; Quasicrystals; Hierarchical structures; Virus architecture; Phyllotaxis
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:71835
Deposited On:04 May 2022 14:06
Last Modified:04 May 2022 14:23

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