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.
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