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The number of atoms in the four ribonucleotides uridine monophosphate, cytidine monophosphate, adenine monophosphate and guanine monophosphate is taken as a key parameter. A mathematical relation describing the condensation of the three…

Other Quantitative Biology · Quantitative Biology 2014-06-25 Tidjani Negadi

Background: There is a 3-fold redundancy in the Genetic Code; most amino acids are encoded by more than one codon. These synonymous codons are not used equally; there is a Codon Usage Bias (CUB). This article will provide novel information…

Biomolecules · Quantitative Biology 2008-07-25 Jan C Biro

Most amino acids are encoded by multiple synonymous codons. For an amino acid, some of its synonymous codons are used much more rarely than others. Analyses of positions of such rare codons in protein sequences revealed that rare codons can…

Molecular Networks · Quantitative Biology 2019-07-09 Khalique Newaz , Gabriel Wright , Jacob Piland , Jun Li , Patricia Clark , Scott Emrich , Tijana Milenkovic

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

We present and review Coupled Two Way Clustering, a method designed to mine gene expression data. The method identifies submatrices of the total expression matrix, whose clustering analysis reveals partitions of samples (and genes) into…

Biological Physics · Physics 2007-05-23 Gad Getz , Hilah Gal , Itai Kela , Eytan Domany , Dan A. Notterman

Present day data allow significant reconsideration of ideas on mechanisms underlying the degeneracy in the genetic code. Here a hypothesis is presented which links the degeneracy to possible conformational alterations in the codon-anticodon…

Biological Physics · Physics 2013-10-14 Denis A. Semyonov

A primordial genetic code is proposed, having only four codons assigned, GGC meaning glycine, GAC meaning aspartate/glutamate, GCC meaning alanine-like and GUC meaning valine-like. Pathways of ambiguity reduction enlarged the codon…

Populations and Evolution · Quantitative Biology 2007-11-06 Peter van der Gulik

The genetic code has a high level of error robustness. Using values of hydrophobicity scales as a proxy for amino acid character, and the Mean Square measure as a function quantifying error robustness, a value can be obtained for a genetic…

Populations and Evolution · Quantitative Biology 2013-09-19 Harry Buhrman , Peter T. S. van der Gulik , Gunnar W. Klau , Christian Schaffner , Dave Speijer , Leen Stougie

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

There is an intrinsic relationship between the molecular evolution in primordial period and the properties of genomes and proteomes of contemporary species. The genomic data may help us understand the driving force of evolution of life at…

Genomics · Quantitative Biology 2009-11-25 Dirson Jian Li , Shengli Zhang

The conception of multi-alphabetical genetics is represented. Matrix forms of the representation of the multi-level system of molecular-genetic alphabets have revealed algebraic properties of this system. These properties are connected with…

Other Quantitative Biology · Quantitative Biology 2013-01-18 Sergey V. Petoukhov

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

The combinatorics of RNA plays a central role in biology. Mathematical biologists have several commonly-used models for RNA: words in a fixed alphabet (representing the primary sequence of nucleotides) and plane trees (representing the…

Combinatorics · Mathematics 2017-06-23 Frances Black , Elizabeth Drellich , Julianna Tymoczko

The combination of multiple classifiers using ensemble methods is increasingly important for making progress in a variety of difficult prediction problems. We present a comparative analysis of several ensemble methods through two case…

Machine Learning · Computer Science 2013-09-20 Sean Whalen , Gaurav Pandey

In this paper, we study achievable rates of concatenated coding schemes over a deoxyribonucleic acid (DNA) storage channel. Our channel model incorporates the main features of DNA-based data storage. First, information is stored on many,…

Information Theory · Computer Science 2020-05-04 Andreas Lenz , Lorenz Welter , Sven Puchinger

The paper represents three supplements to the source paper, q-bio/0610044 [q-bio.OT], with three new series of harmonic structures of the genetic code, determined by Gauss arithmetical algorithm; by Table of Minimal Adding, as in…

Other Quantitative Biology · Quantitative Biology 2018-02-16 Miloje M. Rakocevic

The post-genomic era has brought opportunities to bridge traditionally separate fields of early history of life and brought new insight into origin and evolution of biodiversity. According to distributions of codons in genome sequences, I…

Other Quantitative Biology · Quantitative Biology 2018-07-13 Dirson Jian Li

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2020-10-30 Andreas Lenz , Issam Maarouf , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

A plausible architecture of an ancient genetic code is derived from an extended base triplet vector space over the Galois field of the extended base alphabet {D, G, A, U, C}, where the letter D represents one or more hypothetical bases with…

Genomics · Quantitative Biology 2008-09-23 Robersy Sanchez , Ricardo Grau

Two genomes over the same set of gene families form a canonical pair when each of them has exactly one gene from each family. Different distances of canonical genomes can be derived from a structure called breakpoint graph, which represents…

Data Structures and Algorithms · Computer Science 2023-04-04 Marilia D. V. Braga , Leonie R. Brockmann , Katharina Klerx , Jens Stoye