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The notion that transcription factors bind DNA only through specific, consensus binding sites has been recently questioned. In a pioneering study by Pugh and Venters no specific consensus motif for the positioning of the human…

Biomolecules · Quantitative Biology 2017-06-28 Matan Goldshtein , David B. Lukatsky

Convolutional codes were originally conceived as vector subspaces of a finite-dimensional vector space over a field of Laurent series having a polynomial basis. Piret and Roos modeled cyclic structures on them by adding a module structure…

Rings and Algebras · Mathematics 2026-01-13 José Gómez-Torrecillas , José Patricio Sánchez-Hernández

In this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are naturally matched with DNA four letters. Later, double (pair) DNA…

Combinatorics · Mathematics 2017-03-31 Fatmanur Gürsoy , Elif Segah Oztas , Irfan Siap

The article continues an analysis of the genetic 8-dimensional Yin-Yang-algebra. This algebra was revealed in a course of matrix researches of structures of the genetic code and it was described in the author's articles arXiv:0803.3330 and…

Genomics · Quantitative Biology 2008-09-17 Sergey V. Petoukhov

Possible explanation of the 64/20 redundancy of the triplet genetic code based on the assumption of quantum nature of genetic information is proposed.

Quantum Physics · Physics 2007-05-23 M. V. Altaisky , F. P. Filatov

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 biological distinction between the base positions in the codon, the chemical types of bases (purine and pyrimidine) and their hydrogen bond number have been the most relevant codon properties used in the genetic code analysis. Now,…

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

It has been hypothesized that in the era just before the last universal common ancestor emerged, life on earth was fundamentally collective. Ancient life forms shared their genetic material freely through massive horizontal gene transfer…

Populations and Evolution · Quantitative Biology 2015-11-18 Hinrich Arnoldt , Steven H. Strogatz , Marc Timme

We consider the problem of training generative models with deep neural networks as generators, i.e. to map latent codes to data points. Whereas the dominant paradigm combines simple priors over codes with complex deterministic models, we…

Machine Learning · Computer Science 2018-01-09 Yannic Kilcher , Aurelien Lucchi , Thomas Hofmann

The paper deals with learning probability distributions of observed data by artificial neural networks. We suggest a so-called gradient conjugate prior (GCP) update appropriate for neural networks, which is a modification of the classical…

Statistics Theory · Mathematics 2019-03-27 Pavel Gurevich , Hannes Stuke

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

Embryonic development leads to the reproducible and ordered appearance of complexity from egg to adult. The successive differentiation of different cell types, that elaborates this complexity, result from the activity of gene networks and…

Quantitative Methods · Quantitative Biology 2022-05-11 David A. Rand , Archishman Raju , Meritxell Saez , Francis Corson , Eric D. Siggia

Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to convolutional stabilizer codes based on direct limit…

Quantum Physics · Physics 2007-07-13 Salah A. Aly , Andreas Klappenecker , Pradeep Kiran Sarvepalli

In this paper, we construct new families of convolutional codes. Such codes are obtained by means of algebraic geometry codes. Additionally, more families of convolutional codes are constructed by means of puncturing, extending, expanding…

Information Theory · Computer Science 2021-07-27 Francisco Revson F. Pereira , Giuliano G. La Guardia , Francisco M. de Assis

A quantitative theory on the construction and the evolution of the genetic code is proposed. Through introducing the concept of mutational deterioration (MD) and developing a theoretical formalism on MD minimization we have proved: 1, the…

Other Quantitative Biology · Quantitative Biology 2009-08-24 Liaofu Luo

What could cause the emergence of non-encoding codons in the course of evolution of the genetic code? Hypothesis of evolution of the genetic code from GC to the AGUC-alphabet account for existence of stop codons.

Populations and Evolution · Quantitative Biology 2007-11-01 Denis A. Semenov

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

DNA has been proposed as a chemical platform for computing and data storage, paving the way for building DNA-based computers. Recently, DNA has been hypothesized as an ideal quantum computer with the base pairs working as Josephson…

Quantum Physics · Physics 2024-12-11 Roberto Rivelino

Molecular evidence regarding the genetic code has been examined and the findings on the nature of the early events responsible for the amino acid distribution in the code are reported.

Biological Physics · Physics 2007-05-23 Brian K. Davis

We demonstrate how a genetic algorithm solves the problem of minimizing the resources used for network coding, subject to a throughput constraint, in a multicast scenario. A genetic algorithm avoids the computational complexity that makes…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Minkyu Kim , Varun Aggarwal , Una-May O'Reilly , Muriel Medard , Wonsik Kim