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

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

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...

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Bibliographic Details
Main Author: Tidjani Négadi
Format: Article
Language:English
Published: MDPI AG 2016-12-01
Series:Information
Subjects:
genetic codes
frequencies
multiplets
degeneracies
Kronecker delta functions
q-numbers
symmetry
information
Online Access:http://www.mdpi.com/2078-2489/8/1/6
Description
Summary: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.
ISSN:2078-2489

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