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The mean length and the variability of coding sequences for 48 genomes of bacteria and archaea were analyzed. It was found that the plotted data can be described by an angular area. This suggests the followings: a) The variability of a…

Genomics · Quantitative Biology 2008-05-12 Vasile V. Morariu

Some properties of diagonal binomial coefficients were studied in respect to frequency of their units digits. An approach was formulated that led to use of difference tables to predict if certain units digits can appear in the values of…

Number Theory · Mathematics 2017-05-02 Vladimir L. Gavrikov

Shannon Entropy is the preeminent tool for measuring the level of uncertainty (and conversely, information content) in a random variable. In the field of communications, entropy can be used to express the information content of given…

Information Theory · Computer Science 2024-11-06 Bill Kay , Audun Myers , Thad Boydston , Emily Ellwein , Cameron Mackenzie , Iliana Alvarez , Erik Lentz

Biased-coin designs are used in clinical trials to allocate treatments with some randomness while maintaining approximately equal allocation. More recent rules are compared with Efron's [Biometrika 58 (1971) 403-417] biased-coin rule and…

Methodology · Statistics 2014-05-21 Anthony C. Atkinson

The problem of differentiating the informational content of coding (exons) and non-coding (introns) regions of a DNA sequence is one of the central problems of genomics. The introns are estimated to be nearly 95% of the DNA and since they…

Computational Engineering, Finance, and Science · Computer Science 2010-10-21 Riyazuddin Mohammed

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

In the electronic measurement of the Boltzmann constant based on Johnson noise thermometry, the ratio of the power spectral densities of thermal noise across a resistor at the triple point of water, and pseudo-random noise synthetically…

Applications · Statistics 2017-04-05 Kevin J Coakley , Jifeng Qu

Herein it is shown that in order to study the statistical properties of DNA sequences in bacterial chromosomes it suffices to consider only one half of the chromosome because they are similar to its corresponding complementary sequence in…

Genomics · Quantitative Biology 2009-11-10 Marco V. Jose , Tzipe Govezensky , Juan R. Bobadilla

Rich information on the prebiotic evolution is still stored in contemporary genomic data. The statistical mechanism at the sequence level may play a significant role in the prebiotic evolution. Based on statistical analysis of genome…

Other Quantitative Biology · Quantitative Biology 2018-07-12 Dirson Jian Li

Many cases of non-standard genetic codes are known in mitochondrial genomes. We carry out analysis of phylogeny and codon usage of organisms for which the complete mitochondrial genome is available, and we determine the most likely…

Populations and Evolution · Quantitative Biology 2007-07-17 Supratim Sengupta , Xiaoguang Yang , Paul G. Higgs

A common concern with Bayesian methodology in scientific contexts is that inferences can be heavily influenced by subjective biases. As presented here, there are two types of bias for some quantity of interest: bias against and bias in…

Statistics Theory · Mathematics 2019-03-06 Michael Evans , Yang Guo

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 analogy with its classical counterpart, a noisy quantum channel is characterized by a loss, a quantity that depends on the channel input and the quantum operation performed by the channel. The loss reflects the transmission quality: if…

Quantum Physics · Physics 2011-07-19 Nicolas J. Cerf

How robust is the natural genetic code with respect to mistranslation errors? It has long been known that the genetic code is very efficient in limiting the effect of point mutation. A misread codon will commonly code either for the same…

Biological Physics · Physics 2009-11-03 Dimitri Gilis , Serge Massar , Nicolas Cerf , Marianne Rooman

Although several synonymous codons can encode the same aminoacid, this symmetry is generally broken in natural genetic systems. In this article, we show that the symmetry breaking can result from selective pressures due to the violation of…

adap-org · Physics 2008-02-03 S. Vera , H. Waelbroeck

Bacterial genomes and large-scale computer software projects both consist of a large number of components (genes or software packages) connected via a network of mutual dependencies. Components can be easily added or removed from individual…

Molecular Networks · Quantitative Biology 2013-08-12 Tin Yau Pang , Sergei Maslov

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

The tendencies described in this work were revealed in the course of examination of adenine and uracil distribution in the mRNA encoding sequence. The study also discusses the usage of codons occupied by the amino acid arginine in the table…

Other Quantitative Biology · Quantitative Biology 2009-08-11 Denis A. Semenov

A survey of the patterns of synonymous codon preferences in the HIV env gene reveals a relation between the codon bias and the mutability requirements in different regions in the protein. At hypervariable regions in $gp120$, one finds a…

adap-org · Physics 2008-02-03 H. Waelbroeck

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