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Imposing a minimum principle in the framework of the so called crystal basis model of the genetic code, we determine the structure of the minimum set of 22 anticodons which allows the translational-transcription for animal mitochondrial…

Quantitative Methods · Quantitative Biology 2014-06-06 A. Sciarrino , P. Sorba

In the crystal basis model of the genetic code, it is deduced that the sum of usage probabilities of the codons with C and A in the third position for the quartets and/or sextets is independent of the biological species for vertebrates. A…

Biological Physics · Physics 2009-11-07 L. Frappat , A. Sciarrino , P. Sorba

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…

Other Quantitative Biology · Quantitative Biology 2017-04-05 A. Sciarrino , P. Sorba

We study the correlation between the codon usage bias of genetic sequences and the network features of protein-protein interaction (PPI) in bacterial species. We use PCA techniques in the space of codon bias indices to show that genes with…

Genomics · Quantitative Biology 2021-02-23 Maddalena Dilucca , Giulio Cimini , Sergio Forcelloni , Andrea Giansanti

The ratios of the codon usage in the quartets and sextets for the vertebrate series exhibit a correlated behaviour which fits naturally in the framework of the crystal basis model of the genetic code. Moreover the observed universal…

Biological Physics · Physics 2009-10-31 L. Frappat , A. Sciarrino , P. Sorba

The usage frequencies for codons belonging to quartets are analized, over the whole exonic region, for 92 biological species. Correlation is put into evidence, between the usage frequencies of synonymous codons with third nucleotide A and C…

Other Quantitative Biology · Quantitative Biology 2016-09-09 Diego Cocurullo , Antonino Sciarrino

Imposing a minimum principle in the framework of the so called crystal basis model of the genetic code, we determine the structure of the minimum set of anticodons which allows the translational-transcription for animal mitochondrial code.…

Quantitative Methods · Quantitative Biology 2011-10-21 A. Sciarrino , P. Sorba

Background: There is a 3-fold redundancy in the Genetic Code; most amino acids are encoded by more than one codon. These synonymous codons are not used equally; there is a Codon Usage Bias (CUB). This article will provide novel information…

Biomolecules · Quantitative Biology 2008-07-25 Jan C Biro

We present a statistical model of bacterial evolution based on the coupling between codon usage and tRNA abundance. Such a model interprets this aspect of the evolutionary process as a balance between the codon homogenization effect due to…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Pietro Lio'

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 the quantum group U_q(sl(2)+sl(2)) in the limit q -> 0. An…

Biological Physics · Physics 2007-05-23 L. Frappat , A. Sciarrino , P. Sorba

The rank ordered distribution of the codon usage frequencies for 123 bacteriae is best fitted by a three parameters function that is the sum of a constant, an exponential and a linear term in the rank n. The parameters depend (two…

Genomics · Quantitative Biology 2009-11-11 Luc Frappat , Antonino Sciarrino

The tendencies described in this work were revealed in the course of examination of adenine and uracil distribution in the mRNA encoding sequence. The study also discusses the usage of codons occupied by the amino acid arginine in the table…

Other Quantitative Biology · Quantitative Biology 2009-08-11 Denis A. Semenov

The present work is devoted to describe a set of rules explaining the discriminating versus non-discriminating behavior of the di-basic stages and to characterize the role of each base in determining such a behavior. Bases are analyze as…

Optimization and Control · Mathematics 2007-05-23 Edmundo Rofman , Melina Rapacioli , Vladimir Flores

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 vertebrates. The comparison between the theoretical correlation…

Condensed Matter · Physics 2007-05-23 L. Frappat , A. Sciarrino , P. Sorba

Models of interacting hysteretic elements, called hysterons, capture the sequential response and complex memory effects in a wide range of complex systems and can guide the design of intelligent metamaterials. However, even simple models…

Disordered Systems and Neural Networks · Physics 2025-12-18 Margot Teunisse , Martin van Hecke

Synonymous codons, i.e., DNA nucleotide triplets coding for the same amino acid, are used differently across the variety of living organisms. The biological meaning of this phenomenon, known as codon usage bias, is still controversial. In…

Genomics · Quantitative Biology 2015-11-17 Maddalena Dilucca , Giulio Cimini , Andrea Semmoloni , Antonio Deiana , Andrea Giansanti

We employed the random graph theory approach to analyze the protein-protein interaction database DIP (Feb. 2004), for seven species (S. cerevisiae, H. pylori, E. coli, C. elegans, H. sapiens, M. musculus and D. melanogaster). Several global…

Molecular Networks · Quantitative Biology 2007-05-23 Ka-Lok Ng , Chien-Hung Huang

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk

Hadrons are composite objects made of quarks and gluons, and during a collision one can have several elementary interactions between the constituents. These elementary interactions, using an appropriate theoretical framework, can be related…

High Energy Physics - Phenomenology · Physics 2009-10-29 Paolo Lipari , Maurizio Lusignoli

We derive the statistical distribution functions for the Hubbard chain with infinite Coulomb repulsion among particles and for the statistical spin liquid with an arbitrary magnitude of the local interaction in momentum space. Haldane's…

Condensed Matter · Physics 2009-10-22 Krzysztof Byczuk , Jozef Spalek
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