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Symmetry 2012, 4(1), 15-25; doi:10.3390/sym4010015
Article

Towards Symmetry-Based Explanation of (Approximate) Shapes of Alpha-Helices and Beta-Sheets (and Beta-Barrels) in Protein Structure

 and *
Received: 22 December 2011; in revised form: 6 January 2012 / Accepted: 12 January 2012 / Published: 19 January 2012
(This article belongs to the Special Issue Symmetry Group Methods for Molecular Systems)
Download PDF [196 KB, uploaded 19 January 2012]
Abstract: Protein structure is invariably connected to protein function. There are two important secondary structure elements: alpha-helices and beta-sheets (which sometimes come in a shape of beta-barrels). The actual shapes of these structures can be complicated, but in the first approximation, they are usually approximated by, correspondingly, cylindrical spirals and planes (and cylinders, for beta-barrels). In this paper, following the ideas pioneered by a renowned mathematician M. Gromov, we use natural symmetries to show that, under reasonable assumptions, these geometric shapes are indeed the best approximating families for secondary structures.
Keywords: symmetries; secondary protein structures; alpha-helices; beta-sheets; beta-barrels symmetries; secondary protein structures; alpha-helices; beta-sheets; beta-barrels
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Nava, J.; Kreinovich, V. Towards Symmetry-Based Explanation of (Approximate) Shapes of Alpha-Helices and Beta-Sheets (and Beta-Barrels) in Protein Structure. Symmetry 2012, 4, 15-25.

AMA Style

Nava J, Kreinovich V. Towards Symmetry-Based Explanation of (Approximate) Shapes of Alpha-Helices and Beta-Sheets (and Beta-Barrels) in Protein Structure. Symmetry. 2012; 4(1):15-25.

Chicago/Turabian Style

Nava, Jaime; Kreinovich, Vladik. 2012. "Towards Symmetry-Based Explanation of (Approximate) Shapes of Alpha-Helices and Beta-Sheets (and Beta-Barrels) in Protein Structure." Symmetry 4, no. 1: 15-25.


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