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Information 2017, 8(1), 6; doi:10.3390/info8010006

The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship

Department of Physics, Faculty of Science, University of Oran 1, 31000 Oran, Algeria
Academic Editors: Pedro C. Marijuán, Abir U. Igamberdiev and Lin Bi
Received: 8 November 2016 / Revised: 14 December 2016 / Accepted: 26 December 2016 / Published: 30 December 2016
(This article belongs to the Special Issue Symmetry and Information)
View Full-Text   |   Download PDF [1266 KB, uploaded 3 January 2017]   |  

Abstract

First, mathematical formulae faithfully describing the distributions of amino acids and codons and reproducing the degeneracies in the various known genetic codes, including the standard genetic code, are constructed, by hand. Second, we summarize another mathematical approach relying on the use of q-deformations to describe these same genetic codes, and add a new application not considered before. Third, by considering these same genetic codes, we find, qualitatively, that an inverse symmetry-information relationship exists. View Full-Text
Keywords: genetic codes; frequencies; multiplets; degeneracies; Kronecker delta functions; q-numbers; symmetry; information genetic codes; frequencies; multiplets; degeneracies; Kronecker delta functions; q-numbers; symmetry; information
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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. (CC BY 4.0).

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Négadi, T. The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship. Information 2017, 8, 6.

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