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Matematicheskaya Biologiya i Bioinformatika, 2016, Volume 11, Issue 2, Pages 278–287
DOI: https://doi.org/10.17537/2016.11.278
(Mi mbb273)
 

This article is cited in 3 scientific papers (total in 3 papers)

Bioinformatics

Fractional-stable statistics of the genes expression in the next generation sequence results

V. V. Saenko

Technological Research Institute of Ulyanovsk State University
Full-text PDF (263 kB) Citations (3)
References:
Abstract: As has been shown in the previous article [1] an application of class of the fractional-stable laws to the genes expression results obtained by DNA-microarrays leads to poor agreement between experimental and theoretical distributions. This difference can be explained by the imperfection of the technology of the gene expression determination. In this article the distributions of the gene expression obtained by Next Generation Sequence technology are investigated. In this technology the determination technique of the gene expression differs from the DNA-microarrays technology. This results to more qualitative results of an approximation. In particular, it is established that the probability density function of the gene expression has a form of shift-scale mixture of probability laws, where one of the components of the mixture is the fractional-stable distribution.
Key words: gene expression, DNA-microarrays, Next Generation Sequence Technology, fractional-stable law, Levy's-stable law, shift-scale mixture.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 6.1617.2014/K
Russian Foundation for Basic Research 16-04-00504_а
This work was supported by the Ministry of Education and Science of the Russian Federation (No. 6.1617.2014/K) and Russian Foundation for Basic Research (No. 16-04-00504).
Received 20.06.2016, Published 25.11.2016
Document Type: Article
UDC: 573.2:519.2
Language: English
Citation: V. V. Saenko, “Fractional-stable statistics of the genes expression in the next generation sequence results”, Mat. Biolog. Bioinform., 11:2 (2016), 278–287
Citation in format AMSBIB
\Bibitem{Sae16}
\by V.~V.~Saenko
\paper Fractional-stable statistics of the genes expression in the next generation sequence results
\jour Mat. Biolog. Bioinform.
\yr 2016
\vol 11
\issue 2
\pages 278--287
\mathnet{http://mi.mathnet.ru/mbb273}
\crossref{https://doi.org/10.17537/2016.11.278}
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  • https://www.mathnet.ru/eng/mbb/v11/i2/p278
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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