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How does the genome encode the form of the organism? What is the nature of this genomic code? Inspired by recent work in machine learning and neuroscience, we propose that the genome encodes a generative model of the organism. In this…

Other Quantitative Biology · Quantitative Biology 2025-01-17 Kevin J. Mitchell , Nick Cheney

Information theoretic analysis of genetic languages indicates that the naturally occurring 20 amino acids and the triplet genetic code arose by duplication of 10 amino acids of class-II and a doublet genetic code having codons NNY and…

Genomics · Quantitative Biology 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

We discuss the similarity of the degeneration structure of the genetic code with a pure number theoretic -- ``divisors code.'' The most interesting thing about our observation is not that there is a connection between number theory and the…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Andrei Khrennikov , Marcus Nilsson

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

Degeneracy is a salient feature of genetic codes, because there are more codons than amino acids. The conventional table for genetic codes suffers from an inability of illustrating a symmetrical nature among genetic base codes. In fact,…

Other Quantitative Biology · Quantitative Biology 2017-03-13 Jian-Jun Shu

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 matrix form of the presentation of the genetic code is described as the cognitive form to analyze structures of the genetic code. A similar matrix form is utilized in the theory of signal processing. The Kronecker family of the genetic…

Other Quantitative Biology · Quantitative Biology 2010-12-30 Sergey V. Petoukhov

Matrix forms of the representation of the multi-level system of molecular-genetic alphabets have revealed algebraic properties of this system. Families of genetic (4*4)- and (8*8)-matrices show unexpected connections of the genetic system…

Other Quantitative Biology · Quantitative Biology 2016-07-18 Sergey V. Petoukhov

A method for automatically finding a program (bytecode) realizing the given algorithm is developed. The algorithm is specified as a set of tests (input\_data) $ \rightarrow $ (output\_data). Genetic methods made it possible to find the…

Neural and Evolutionary Computing · Computer Science 2018-07-18 S. I. Khashin , S. E. Vaganov

The systematics of indices of physico-chemical properties of codons and amino acids across the genetic code are examined. Using a simple numerical labelling scheme for nucleic acid bases, data can be fitted as low-order polynomials of the 6…

Biological Physics · Physics 2009-11-05 J. D. Bashford , P. D. Jarvis

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

Using basic properties of p-adic numbers, we consider a simple new approach to describe main aspects of DNA sequence and genetic code. Central role in our investigation plays an ultrametric p-adic information space which basic elements are…

Genomics · Quantitative Biology 2010-12-01 Branko Dragovich , Alexandra Dragovich

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

Algebraic properties of the genetic code are analyzed. The investigations of the genetic code on the basis of matrix approaches ("matrix genetics") are described. The degeneracy of the vertebrate mitochondria genetic code is reflected in…

Quantitative Methods · Quantitative Biology 2008-06-06 Sergey V. Petoukhov

The genetic code maps the sixty-four nucleotide triplets (codons) to twenty amino-acids. Some argue that the specific form of the code with its twenty amino-acids might be a 'frozen accident' because of the overwhelming effects of any…

Quantitative Methods · Quantitative Biology 2010-07-26 Tsvi Tlusty

We investigate the possibility of encoding multiple solutions of a problem in a single chromosome. The best solution encoded in an individual will represent (will provide the fitness of) that individual. In order to obtain some benefits the…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Mihai Oltean

Living organisms are the most complex, interesting and significant objects regarding all substructures of the universe. Life science is regarded as a science of the 21st century and one can expect great new discoveries in the near futures.…

Other Quantitative Biology · Quantitative Biology 2009-11-23 Branko Dragovich

In nature the three-dimensional structure of a protein is encoded in the corresponding gene. In this paper we describe a new method for encoding the three-dimensional structure of a protein into a binary sequence. The feature of the method…

Combinatorics · Mathematics 2007-05-23 Naoto Morikawa

Modelising the translation errors by suitable mathematical operators in the crystal basis model of the genetic code and requiring that codons prone to be misread encode the same amino-acid, the main features of the organisation in…

Mathematical Physics · Physics 2007-05-23 A. Sciarrino