Quantum Groups and the Genetic Code |
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Authors: | Frappat L Sorba P Sciarrino A |
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Institution: | (1) Laboratoire d'Annecy-le-Vieux de Physique Théorique, LAPTH CNRS, UMR 5108, associée à l'Université de Savoie, BP 110, F-74941 Annecy-le-Vieux CEDEX, France;(2) Dipartimento di Scienze Fisiche, Università di Napoli Federico II. I.N.F.N., Sezione di Napoli, Italy;(3) Complesso di Monte, S. Angelo, Via Cintia, I-80126 Napoli, Italy |
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Abstract: | The quantum algebra
in the limit q 0 is proposed as a symmetry algebra for the genetic code. The nucleotide triplets (codons) in the DNA chain are classified in crystal bases. This construction can be compared to the baryon classification from quarks in particle physics, one main difference being the natural order in the state constituents provided by the crystal base. An operator ensuring the correspondence between codons and amino acids is constructed from the above algebra: two codons corresponding to the same or different amino acids acquire the same or different eigenvalues respectively. Then a set of relations between the physicochemical properties of the amino acids are derived and compared with the experimental data. Correlations of the codon usage for quartets and sextets are determined, fitting naturally in the framework of this model. |
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