Quaternionic representation of the genetic code

A heuristic diagram of the evolution of the standard genetic code is presented. It incorporates, in a way that resembles the energy levels of an atom, the physical notion of broken symmetry and it is consistent with original ideas by Crick on the origin and evolution of the code as well as with the...

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Detalles Bibliográficos
Autores principales:	Carlevaro, Carlos Manuel, Irastorza, Ramiro Miguel, Vericat, Fernando
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2016
Materias:	Física Genetic code evolution Broken symmetry Hamilton quaternions Protein folding
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/132112
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-132112
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Genetic code evolution Broken symmetry Hamilton quaternions Protein folding
spellingShingle	Física Genetic code evolution Broken symmetry Hamilton quaternions Protein folding Carlevaro, Carlos Manuel Irastorza, Ramiro Miguel Vericat, Fernando Quaternionic representation of the genetic code
topic_facet	Física Genetic code evolution Broken symmetry Hamilton quaternions Protein folding
description	A heuristic diagram of the evolution of the standard genetic code is presented. It incorporates, in a way that resembles the energy levels of an atom, the physical notion of broken symmetry and it is consistent with original ideas by Crick on the origin and evolution of the code as well as with the chronological order of appearance of the amino acids along the evolution as inferred from work that mixtures known experimental results with theoretical speculations. Suggested by the diagram we propose a Hamilton quaternions based mathematical representation of the code as it stands now-a-days. The central object in the description is a codon function that assigns to each amino acid an integer quaternion in such a way that the observed code degeneration is preserved. We emphasize the advantages of a quaternionic representation of amino acids taking as an example the folding of proteins. With this aim we propose an algorithm to go from the quaternions sequence to the protein three dimensional structure which can be compared with the corresponding experimental one stored at the Protein Data Bank. In our criterion the mathematical representation of the genetic code in terms of quaternions merits to be taken into account because it describes not only most of the known properties of the genetic code but also opens new perspectives that are mainly derived from the close relationship between quaternions and rotations.
format	Articulo Articulo
author	Carlevaro, Carlos Manuel Irastorza, Ramiro Miguel Vericat, Fernando
author_facet	Carlevaro, Carlos Manuel Irastorza, Ramiro Miguel Vericat, Fernando
author_sort	Carlevaro, Carlos Manuel
title	Quaternionic representation of the genetic code
title_short	Quaternionic representation of the genetic code
title_full	Quaternionic representation of the genetic code
title_fullStr	Quaternionic representation of the genetic code
title_full_unstemmed	Quaternionic representation of the genetic code
title_sort	quaternionic representation of the genetic code
publishDate	2016
url	http://sedici.unlp.edu.ar/handle/10915/132112
work_keys_str_mv	AT carlevarocarlosmanuel quaternionicrepresentationofthegeneticcode AT irastorzaramiromiguel quaternionicrepresentationofthegeneticcode AT vericatfernando quaternionicrepresentationofthegeneticcode
bdutipo_str	Repositorios
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Quaternionic representation of the genetic code

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