1,139 research outputs found
From quantum groups to genetic mutations
In the framework of the crystal basis model of the genetic code, where each
codon is assigned to an irreducible representation of , single base mutation matrices are introduced. The strength of the
mutation is assumed to depend on the "distance" between the codons. Preliminary
general predictions of the model are compared with experimental data, with a
satisfactory agreement.Comment: 11 pages, Talk at Int.Conf."Symmetries in Science XIII", Bregenz July
20-24 200
A q-Analogue of the embedding chain
A q-analogue of the embedding chains of the Arima-Iachello model is proposed.
The generators of the deformed U(6)-subalgebras are written in terms of the
generators of gl_{q}(6), using q-bosons.Comment: 14 pages, no figur
Fermion realization of exceptional Lie algebras from maximal unitary subalgebras
From the decomposition of the exceptional Lie algebras (ELA's) under a maximal unitary subalgebra a realization of the ELA's is obtained in terms of fermionic oscillators
Mutation model for nucleotide sequences based on crystal basis
A nucleotides sequence is identified, in the two (four) letters alphabet, by
the the labels of a vector state of an irreducible representation of U_q(sl(2))
(U_q(sl(2) + sl(2))), in the limit q -> 0. A master equation for the
distribution function is written, where the intensity of the one-spin flip is
assumed to depend from the variation of the labels of the state. In the two
letters approximation, the numerically computed equilibrium distribution for
short sequences is nicely fitted by a Yule distribution, which is the observed
distribution of the ranked short oligonucleotides frequency in DNA. The four
letter alphabet description, applied to the codons, is able to reproduce the
form of the fitted rank ordered usage frequencies distribution.Comment: 27 pages, 9 figure
Symmetry and Minimum Principle at the Basis of the Genetic Code
The importance of the notion of symmetry in physics is well established:
could it also be the case for the genetic code? In this spirit, a model for the
Genetic Code based on continuous symmetries and entitled the "Crystal Basis
Model" has been proposed a few years ago. The present paper is a review of the
model, of some of its first applications as well as of its recent developments.
Indeed, after a motivated presentation of our mathematical model, we illustrate
its pertinence by applying it for the elaboration and verification of sum rules
for codon usage probabilities, as well as for establishing relations and some
predictions between physical-chemical properties of amino-acids. Then, defining
in this context a "bio-spin" structure for the nucleotides and codons, the
interaction between a couple of codon-anticodon can simply be represented by a
(bio) spin-spin potential. This approach will constitute the second part of the
paper where, imposing the minimum energy principle, an analysis of the
evolution of the genetic code can be performed with good agreement with the
generally accepted scheme. A more precise study of this interaction model
provides informations on codon bias, consistent with data.Comment: To appear in BIOMAT 2016, 326 - 362, 201
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