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The Euclidean Steiner Ratio and the measure of chirality of biomacromolecules

The study of Euclidean Steiner Trees is one of the alternative methods to unveil Nature's plans for the internal architecture of biomacromolecules. Recently, the minimum surface structure of the A-DNA and of the Tobacco Mosaic Virus was shown to be described by a "strake" surface. These results have been substantiated by an explicit calculation of the Steiner Ratio Function in a very restrictive modelling scheme. In the present work, we also introduce the measure of chirality as an essential part of a thermodynamical approach to model biomolecular structure. In a certain sense, the Steiner Ratio function is constrained by the chirality measure to assume a value dictated by Nature. This value is a measure of the free energy of the molecular configuration.

Steiner Ratio; chirality; upper bound


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