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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

A molecular dynamics calculation of the amino acid polar requirement is presented and used to score the canonical genetic code. Monte Carlo simulation shows that this computational polar requirement has been optimized by the canonical…

Populations and Evolution · Quantitative Biology 2008-04-01 Thomas Butler , Nigel Goldenfeld , Damien Mathew , Zaida Luthey-Schulten

We show that our recently published Arithmetic Model of the genetic code based on Godel Encoding is robust against symmetry transformations, specially Rumer s one U > G, A > C, and constitutes a link between the degeneracy structure and the…

Other Quantitative Biology · Quantitative Biology 2009-03-25 Tidjani Negadi

The algebraic structures of the genetic code are most important to obtain additional information about the semantic code and its applications. In this paper we define two dual Boolean codon lattices of the genetic code using hydrogen bond…

Quantitative Methods · Quantitative Biology 2007-05-23 Robersy Sanchez , Eberto Morgado , Ricardo Grau

This article introduces a novel binary representation of the canonical genetic code based on both the structural similarities of the nucleotides, as well as the physicochemical properties of the encoded amino acids. Each of the four mRNA…

Biological Physics · Physics 2017-03-27 Louis R. Nemzer

The genetic code is nearly universal, and the arrangement of the codons in the standard codon table is highly non-random. The three main concepts on origin and evolution of the code are the stereochemical theory; the coevolution theory; and…

Genomics · Quantitative Biology 2008-09-10 Eugene V. Koonin , Artem S. Novozhilov

A representation of the genetic code as a six-dimensional Boolean hypercube is described. This structure is the result of the hierarchical order of the interaction energies of the bases in codon-anticodon recognition. In this paper it is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Miguel A. Jimenez-Montano , Carlos R. de la Mora-Basanez , Thorsten Poeschel

The genetic code maps the sixty-four nucleotide triplets (codons) to twenty amino-acids. While the biochemical details of this code were unraveled long ago, its origin is still obscure. We review information-theoretic approaches to the…

Genomics · Quantitative Biology 2010-07-23 Tsvi Tlusty

The relative solvent accessibility (RSA) of a residue in a protein measures the extent of burial or exposure of that residue in the 3D structure. RSA is frequently used to describe a protein's biophysical or evolutionary properties. To…

Biomolecules · Quantitative Biology 2013-11-28 Matthew Z. Tien , Austin G. Meyer , Dariya K. Sydykova , Stephanie J. Spielman , Claus O. Wilke

In a certain way, this paper presents the continuation of the previous one which discussed the harmonic structure of the genetic code (Rakocevic, 2004). Several new harmonic structures presented in this paper, through specific unity and…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Miloje M. Rakocevic

The genetic code is the set of rules by which information encoded in genetic material (DNA or RNA sequences) is translated into proteins (amino acid sequences) by living cells. The code defines a mapping between tri-nucleotide sequences,…

Other Quantitative Biology · Quantitative Biology 2015-12-03 Jayanta Kumar Das , Atrayee Majumder , Pabitra Pal Choudhury

This note represents the further progress in understanding the determination of the genetic code by Golden mean (Rakocevic, 1998). Three classes of amino acids that follow from this determination (the 7 "golden" amino acids, 7 of their…

Biomolecules · Quantitative Biology 2009-03-25 Miloje M. Rakocevic

The frequencies of A, C, G and T in mitochondrial DNA vary among species due to unequal rates of mutation between the bases. The frequencies of bases at four-fold degenerate sites respond directly to mutation pressure. At 1st and 2nd…

Populations and Evolution · Quantitative Biology 2016-09-08 Daniel Urbina , Bin Tang , Paul G. Higgs

We introduce the simple parametrization for the space of codons (triples of nucleotides) by 8\times 8 table. This table (which we call the dyadic plane) possesses the natural 2-adic ultrametric. We show that after this parametrization the…

Quantitative Methods · Quantitative Biology 2009-11-13 A. Yu. Khrennikov , S. V. Kozyrev

In genetic studies of complex diseases, the underlying mode of inheritance is often not known. Thus, the most powerful test or other optimal procedure for one model, e.g. recessive, may be quite inefficient if another model, e.g. dominant,…

Statistics Theory · Mathematics 2007-06-13 Gang Zheng , Boris Freidlin , Joseph L. Gastwirth

The sensitivity of the native states of protein-like heteropolymers to mutations modelled as perturbations in the interaction potential between amino acids is studied. The stability threshold against mutations is shown to be zero for random…

Soft Condensed Matter · Physics 2009-10-30 Michele Vendruscolo , Amos Maritan , Jayanth R. Banavar

Optimization problems frequently appear in any scientific domain. Most of the times, the corresponding decision problem turns out to be NP-hard, and in these cases genetic algorithms are often used to obtain approximated solutions. However,…

Neural and Evolutionary Computing · Computer Science 2024-02-02 Alba Muñoz , Fernando Rubio

It is presented that the positions of amino acids within Genetic Code Table follow from strict their physical and chemical properties as well as from a pure formal determination by the Golden mean.

Biomolecules · Quantitative Biology 2009-04-08 Miloje M. Rakocevic

In the present work, 16 genetic code doublets and their cognate amino acids in the genetic code are fitted into a polyhedron model. Based on the structural regularity in nucleobases, and by using a series of common-sense topological…

Biomolecules · Quantitative Biology 2007-05-23 Chi Ming Yang

The universal genetic code presents a fundamental paradox in molecular biology. Recent advances in synthetic biology have demonstrated that the code is remarkably flexible--organisms can survive with 61 codons instead of 64, natural…

Populations and Evolution · Quantitative Biology 2025-07-03 Marc Bara Iniesta