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This article is cited in 3 scientific papers (total in 3 papers)
Quantum Groups and the Genetic Code
L. Frappata, P. Sorbaa, A. Sciarrinobc a Universite de Savoie
b Università degli Studi di Napoli Federico II
c Complesso Universitario di Monte S. Angelo
Abstract:
The quantum algebra ${\mathcal U}_q(sl(2)\oplus sl(2))$ in the limit $q\to0$ 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.
Citation:
L. Frappat, P. Sorba, A. Sciarrino, “Quantum Groups and the Genetic Code”, TMF, 128:1 (2001), 27–42; Theoret. and Math. Phys., 128:1 (2001), 856–869
Linking options:
https://www.mathnet.ru/eng/tmf480https://doi.org/10.4213/tmf480 https://www.mathnet.ru/eng/tmf/v128/i1/p27
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Abstract page: | 394 | Full-text PDF : | 214 | References: | 58 | First page: | 1 |
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