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The primitive data for deducing the Miyazawa-Jernigan contact energy or BLOSUM score matrix consists of pair frequency counts. Each amino acid corresponds to a conditional probability distribution. Based on the deviation of such conditional…

Biological Physics · Physics 2009-11-07 Xin Liu , Di Liu , Ji Qi , Wei-Mou Zheng

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

The set of known dialects of the genetic code (GC) is analyzed from the viewpoint of the genetic octave Yin-Yang-algebra. This algebra was described in the previous author's publications. The algebra was discovered on the basis of…

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

We present a geometrical analysis of the protrusion statistics of side chains in more than 4,000 high-resolution protein structures. We employ a coarse-grained representation of the protein backbone viewed as a linear chain of C{\alpha}…

Soft Condensed Matter · Physics 2024-01-29 Tatjana Škrbić , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Jayanth R. Banavar

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

We showed in this paper that similarity network can be used as an powerful tools to study the relationship of tRNA genes. We constructed a network of 3719 tRNA gene sequences using simplest alignment and studied its topology, degree…

Molecular Networks · Quantitative Biology 2009-09-29 Fangping Wei , Sheng Li , Hongru Ma

We present a completely new version of our arithmetic model of the standard genetic code and compute in a straightforward manner the exact numeric degeneracies of the five multiplets without any trick for the doublets and the sextets, as we…

Other Quantitative Biology · Quantitative Biology 2009-08-10 Tidjani Negadi

The primary structure of a ribonucleic acid (RNA) molecule can be represented as a sequence of nucleotides (bases) over the alphabet {A, C, G, U}. The secondary or tertiary structure of an RNA is a set of base pairs which form bonds between…

Data Structures and Algorithms · Computer Science 2015-01-05 Shihyen Chen , Zhuozhi Wang , Kaizhong Zhang

Animal mitochondrial genomes usually have two transfer RNAs for Leucine: one, with anticodon UAG, translates the four-codon family CUN, whilst the other, with anticodon UAA, translates the two-codon family UUR. These two genes must differ…

Populations and Evolution · Quantitative Biology 2007-05-23 P. G. Higgs , D. Jameson , H. Jow , M. Rattray

In several recent papers new gene-detection algorithms were proposed for detecting protein-coding regions without requiring learning dataset of already known genes. The fact that unsupervised gene-detection is possible closely connected to…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. N. Gorban , A. Yu. Zinovyev , T. G. Popova

A new version of DNA walks, where nucleotides are regarded unequal in their contribution to a walk is introduced, which allows us to study thoroughly the "fine structure" of nucleotide sequences. The approach is based on the assumption that…

Genomics · Quantitative Biology 2007-05-23 Diana Duplij , Steven Duplij

We propose a partitioning of the set of unlabelled, connected cubic graphs into two disjoint subsets named genes and descendants, where the cardinality of the descendants is much larger than that of the genes. The key distinction between…

Combinatorics · Mathematics 2012-09-26 Pouya Baniasadi , Vladimir Ejov , Jerzy Filar , Michael Haythorpe

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

Eukaryote genomes contain excessively introns, inter-genic and other non-genic sequences that appear to have no vital functional role or phenotype manifestation. Their existence, a long-standing puzzle, is viewed from the principle of…

Populations and Evolution · Quantitative Biology 2008-07-08 Salla Jaakkola , Sedeer El-Showk , Arto Annila

Statistical analysis of distributions of occurrence frequencies of short words in 108 microbial complete genomes reveals the existence of a set of universal "root-sequence lengths" shared by all microbial genomes. These lengths and their…

Biological Physics · Physics 2007-05-23 Li-Ching Hsieh , Chang-Heng Chang , Liaofu Luo , Fengmin Ji , Hoong-Chien Lee

The GC-content is very variable in different genome regions and species but although many hypothesis we still do not know the reason why. Here we show that a relationship exists with the mutation rate, in particular we noticed a new…

Populations and Evolution · Quantitative Biology 2013-07-24 Valentina Agoni

The base sequences of DNA contain the genetic code and to decode it a double helical DNA has to open its base pairs. Recent studies have shown that one can use a third strand to identify the base sequences without opening the double helix…

Soft Condensed Matter · Physics 2014-11-21 Jaya Maji , Somendra M. Bhattacharjee , Flavio Seno , Antonio Trovato

Complex systems with tightly coadapted parts frequently appear in living systems and are difficult to account for through Darwinian evolution, that is random variation and natural selection, if the constituent parts are independently coded…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 John F. McGowan , Ph. D

In sexual population, recombination reshuffles genetic variation and produces novel combinations of existing alleles, while selection amplifies the fittest genotypes in the population. If recombination is more rapid than selection,…

Populations and Evolution · Quantitative Biology 2015-06-05 Richard A. Neher , Marija Vucelja , Marc Mézard , Boris I. Shraiman

A heuristic diagram of the evolution of the standard genetic code is presented. It incorporates, in a way that resembles the energy levels of an atom, the physical notion of broken symmetry and it is consistent with original ideas by Crick…

Other Quantitative Biology · Quantitative Biology 2015-12-31 C. Manuel Carlevaro , Ramiro M. Irastorza , Fernando Vericat