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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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 |
work_keys_str_mv |
AT tidjaninegadi thegeneticcodesmathematicalformulaeandaninversesymmetryinformationrelationship AT tidjaninegadi geneticcodesmathematicalformulaeandaninversesymmetryinformationrelationship |
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1725332336032088064 |