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9 papers
On sl(N) and sl(M|N) integrable open spin chains
D. Arnaudon, J. Avan, N. Crampe' +3
We study open spin chains based on rational sl(N) and sl(M|N) R-matrices. We classify the solutions of the reflection equations, for both the soliton-preserving and soliton-non-pre…
Correlation matrix for quartet codon usage
L. Frappat, A. Sciarrino, P. Sorba
It has been argued that the sum of usage probabilities for codons, belonging to quartets, that have as third nucleotide C or A, is independent of the biological species for vertebr…
Quantum elliptic algebras and double Yangians
L. Frappat
Quantum universal enveloping algebras, quantum elliptic algebras and double (deformed) Yangians provide fundamental algebraic structures relevant for many integrable systems. They…
A minimum principle in mRNA editing ?
L. Frappat, A. Sciarrino, P. Sorba
mRNA editing of sequences of many species is analyzed. The nature of the inserted nucleotides and the position of the insertion sites, once fixed the edited peptide chain, are expl…
Theoretical prevision of physical chemical properties of amino acids from genetic code
L. Frappat, A. Sciarrino, P. Sorba
Using the crystal basis model of the genetic code, a set of relations between the physical-chemical properties of the amino acids are derived and compared with the experimental dat…
Crystalizing the genetic code
L. Frappat, A. Sciarrino, P. Sorba
New developments are presented in the framework of the model introduced by the authors in refs. [1,2] and in which nucleotides as well as codons are classified in crystal bases of…