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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Main Author: Tidjani Négadi
Format: Article
Language:English
Published: MDPI AG 2016-12-01
Series:Information
Subjects:
Online Access:http://www.mdpi.com/2078-2489/8/1/6
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spelling doaj-663fefbed489462199e7a87d8edb83162020-11-25T00:29:16ZengMDPI AGInformation2078-24892016-12-0181610.3390/info8010006info8010006The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information RelationshipTidjani Négadi0Department of Physics, Faculty of Science, University of Oran 1, 31000 Oran, AlgeriaFirst, 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.http://www.mdpi.com/2078-2489/8/1/6genetic codesfrequenciesmultipletsdegeneraciesKronecker delta functionsq-numberssymmetryinformation
collection DOAJ
language English
format Article
sources DOAJ
author Tidjani Négadi
spellingShingle Tidjani Négadi
The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship
Information
genetic codes
frequencies
multiplets
degeneracies
Kronecker delta functions
q-numbers
symmetry
information
author_facet Tidjani Négadi
author_sort Tidjani Négadi
title The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship
title_short The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship
title_full The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship
title_fullStr The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship
title_full_unstemmed The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship
title_sort genetic codes: mathematical formulae and an inverse symmetry-information relationship
publisher MDPI AG
series Information
issn 2078-2489
publishDate 2016-12-01
description 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.
topic genetic codes
frequencies
multiplets
degeneracies
Kronecker delta functions
q-numbers
symmetry
information
url http://www.mdpi.com/2078-2489/8/1/6
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