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Related papers: Genetic Code as a Harmonic System

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Background The theoretical requirements for a genetic code were well defined and modeled by George Gamow and Francis Crick in the 50-es. Their models failed. However the valid Genetic Code, provided by Nirenberg and Matthaei in 1961,…

Biomolecules · Quantitative Biology 2008-08-04 Jan C Biro

The genetic code is the function from the set of codons to the set of amino acids by which a DNA sequence encodes proteins. Since the codons also influence the shape of the DNA molecule itself, the same sequence that encodes a protein also…

Other Quantitative Biology · Quantitative Biology 2020-03-04 Alex Kasman , Brenton LeMesurier

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

We propose a principle of consistency between different hierarchical levels of biological systems. Given a consistency between molecule replication and cell reproduction, universal statistical laws on cellular chemical abundances are…

Cell Behavior · Quantitative Biology 2008-07-21 Kunihiko Kaneko , Chikara Furusawa

Degeneracy of the genetic code is a biological way to minimize effects of the undesirable mutation changes. Degeneration has a natural description on the 5-adic space of 64 codons $\mathcal{C}_5 (64) = \{n_0 + n_1 5 + n_2 5^2 : n_i = 1, 2,…

Genomics · Quantitative Biology 2007-07-16 Branko Dragovich , Alexandra Dragovich

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

Human chromosome 21 is the only chromosome in human genome that exhibits oscillation of (G+C)-content of cycle length of hundreds kilobases (500 kb near the right telomere). We aim at establishing the existence of similar periodicity in…

Genomics · Quantitative Biology 2007-05-23 Wentian Li , Pedro Miramontes

We investigate the large-scale geometry of the DNA-protein complex of chromatin using a generalized optimality principle, which requires that not only should all sub-parts of a natural process be optimal but also the unfolding of higher…

Biomolecules · Quantitative Biology 2024-02-16 Subhash Kak

We study the dynamics of genetic code evolution. The model of Vetsigian et al. [1] and Vetsigian [2] uses the mechanism of horizontal gene transfer to demonstrate convergence of the genetic code to a near universal solution. We reproduce…

Other Quantitative Biology · Quantitative Biology 2021-05-26 John-Antonio Argyriadis , Yang-Hui He , Vishnu Jejjala , Djordje Minic

Genetic information is encoded in a linear sequence of nucleotides, represented by letters ranging from thousands to billions. Mutations refer to changes in the DNA or RNA nucleotide sequence. Thus, mutation detection is vital in all areas…

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 data. A prevision for the not yet measured thermodynamical…

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

All known terrestrial proteins are coded as continuous strings of ~20 amino acids. The patterns formed by the repetitions of elements in groups of finite sequences describes the natural architectures of protein families. We present a method…

Biomolecules · Quantitative Biology 2018-07-30 Pablo Turjanski , Diego U. Ferreiro

With the number of fully-sequenced genomes now well over a hundred it has become possible to start investigating if there are any quantitative regularities in the genetic make-up of genomes. In (physics/0307001), I originally showed that…

Genomics · Quantitative Biology 2007-05-23 Erik van Nimwegen

The coding space of protein sequences is shaped by evolutionary constraints set by requirements of function and stability. We show that the coding space of a given protein family--the total number of sequences in that family--can be…

Biomolecules · Quantitative Biology 2020-11-20 Jacopo Marchi , Ezequiel A. Galpern , Rocio Espada , Diego U. Ferreiro , Aleksandra M. Walczak , Thierry Mora

Background/ Objectives: Resolving the origin of the genetic code is fundamental to understanding how life began its journey out of the chemical world. Since its deciphering some 60 years ago, there is still no general theory of the…

Populations and Evolution · Quantitative Biology 2026-04-14 Jacques H. Daniel

Evolution consists of distinct stages: cosmological, biological, linguistic. Since biology verges on natural sciences and linguistics, we expect that it shares structures and features from both forms of knowledge. Indeed, in DNA we…

Other Quantitative Biology · Quantitative Biology 2019-10-01 Argyris Nicolaidis , Fotis Psomopoulos

The evolution in coding DNA sequences brings new flexibility and freedom to the codon words, even as the underlying nucleotides get significantly ordered. These curious contra-rules of gene organisation are observed from the distribution of…

Biological Physics · Physics 2007-05-23 Sujay Chattopadhyay , William A. Kanner , Jayprokas Chakrabarti

Coding information is the main source of heterogeneity (non-randomness) in the sequences of bacterial genomes. This information can be naturally modeled by analysing cluster structures in the "in-phase" triplet distributions of relatively…

Genomics · Quantitative Biology 2011-11-09 A. N. Gorban , T. G. Popova , A. Yu. Zinovyev

In the near future, all the human genes will be identified. But understanding the functions coded in the genes is a much harder problem. For example, by using block entropy, one has that the DNA code is closer to a random code then written…

Numerical Analysis · Mathematics 2007-07-13 Torbjörn Lundh

Structural and dynamical fingerprints of evolutionary optimization in biological networks are still unclear. We here analyze the dynamics of genetic regulatory networks responsible for the regulation of cell cycle and cell differentiation…

Molecular Networks · Quantitative Biology 2016-06-22 N. Aral , A. Kabakcioglu