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Related papers: p-Adic Structure of the Genetic Code

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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

This article is interested in the origin of the genetic code, it puts forward a scenario of a simultaneous selection of the bases and amino acids and setting up of a correlation between them. Each amino acid is associated with a pair of its…

Biomolecules · Quantitative Biology 2020-12-18 Pierre Zofel

The origin and organizing principles of the genetic code remain fundamental puzzles in life science. The vanishingly low probability of the natural codon-to-amino acid mapping arising by chance has spurred the hypothesis that its structure…

Other Quantitative Biology · Quantitative Biology 2025-10-14 Yudam Seo , Tsvi Tlusty , Junghyo Jo

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

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

In this paper we denonstrate that the use of the system of 2-adic numbers provides a new insight to some problems of genetics, in particular, generacy of the genetic code and the structure of the PAM matrix in bioinformatics. The 2-adic…

Genomics · Quantitative Biology 2011-05-10 A. Yu. Khrennikov , S. V. Kozyrev

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

The genetic code refers to a rule that maps 64 codons to 20 amino acids. Nearly all organisms, with few exceptions, share the same genetic code, the standard genetic code (SGC). While it remains unclear why this universal code has arisen…

Populations and Evolution · Quantitative Biology 2023-05-10 Yuji Omachi , Nen Saito , Chikara Furusawa

Much information is stored in amino acid composition of protein and base composition of DNA. We simulated the evolution of amino acid frequencies and genomic GC content by a linguistic model. It is showed that the evolution of genetic code…

Genomics · Quantitative Biology 2007-05-23 Dirson Jian Li

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 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

Information is often encoded as an aperiodic chain of building blocks. Modern digital computers use bits as the building blocks, but in general the choice of building blocks depends on the nature of the information to be encoded. What are…

Quantum Physics · Physics 2007-05-23 Apoorva Patel

We perform geometrization of genetics by representing genetic information by points of the 4-adic {\it information space.} By well known theorem of number theory this space can also be represented as the 2-adic space. The process of…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Andrei Khrennikov

The rules that specify how the information contained in DNA codes amino acids, is called "the genetic code". Using a simplified version of the Penna nodel, we are using computer simulations to investigate the importance of the genetic code…

Genomics · Quantitative Biology 2009-11-10 E. Gultepe , M. L. Kurnaz

Important aspects of the process of information storage and retrieval in DNA and RNA, and its evolution, are the role of the anticodons and associated $t$RNA's, and correlations between anticodons and amino acids; the degeneracy of the…

Biological Physics · Physics 2007-05-23 P. D. Jarvis , J. D. Bashford

The standard genetic code is known to be much more efficient in minimizing adverse effects of misreading errors and one-point mutations in comparison with a random code having the same structure, i.e. the same number of codons coding for…

Quantitative Methods · Quantitative Biology 2012-10-17 V. R. Chechetkin , V. V. Lobzin

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

This work aims at showing the relevance and the applications possibilities of the Fibonacci sequence, and also its q-deformed or quantum extension, in the study of the genetic code(s). First, after the presentation of a new formula, an…

Other Quantitative Biology · Quantitative Biology 2015-10-06 Tidjani Negadi

By starting from the four DNA bases order in the Boolean lattice, a novel Lie Algebra of the genetic code is proposed. Here, the principal partitions of the genetic code table were obtained as equivalent classes of quotient subspaces of the…

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

The codons, sixtyfour in number, are distributed over the coding parts of DNA sequences. The distribution function is the plot of frequency-versus-rank of the codons. These distributions are characterised by parameters that are almost…

Biological Physics · Physics 2009-11-07 A. Som , S. Chattopadhyay , J. Chakrabarti , D. Bandyopadhyay