© Illustration RIA Novosti . A. Bosniaerzegovina genotypes of blood© Illustration RIA Novosti . A. Polyanina

Russian University of Economics named after G. V. Plekhanov developed a software product, allowing to compute the distribution of frequencies of occurrence of genotypes of blood in the population of different regions and countries at a given point in time. Created by the program can be used to study the dynamics in the occurrence of other genetic traits, as well as in Virology. The study is published in a reputable scientific Journal Journal of Symbolic Computation, part of the publishing group Elsevier.From the point of view of transfusion significant is the classification of the genotypes of human blood groups and the RH factor. At first glance it may seem that there are only eight possible combinations of the four blood groups and two RH factors, however, combinations are not exhausted. The genetic information contained in DNA is on two alleles, so there are homozygous and heterozygous genotypes. For example, the second and third group of blood can be homozygous and heterozygous. These two types of the second and third blood groups are genetically different, respectively there are six genetic combinations of blood groups. RH factor can also be homozygous and heterozygous. From the point of view of the genotypes for RH factors, there are three possibilities: negative/negative, positive/negative and positive/positive. Thus, the possible eighteen genotypes of human blood.Currently accumulated a considerable array of statistics around the world. It is known that in different countries the proportions of groups of people with desired genotypes of different blood. For example, in States that were under the powerful influence of migration processes and, as a consequence, have a large and diverse population (Russia, USA), the distribution of blood groups within the country is very diverse and differs from region to region. For island Nations, such as Japan or Iceland, on the contrary, there is a very similar distribution of genotypes within regions.

Professor, Department of computer science REU named after G. V. Plekhanov Timur Sadykov has constructed a mathematical model of the dynamics of the frequencies of occurrence of genotypes of blood (combinations of blood groups and rhesus factor) and have figured out how to evolve the distribution of frequencies of occurrence of genotypes of blood in a given population in a certain period of time. The model formed the basis of a software package procedures and functions in the computer algebra system Mathematica.

© REU of G. V. Plekhanovites to the article of T. Sadykov «Polynomial dynamics of human blood genotypes frequencies»© REU of G. V. Plekhanovites to the article of T. Sadykov «Polynomial dynamics of human blood genotypes frequencies»

«Due to the calculations failed to establish that the marginal diversity (diversity attractor) for the dynamical system describing the evolution of genotypes of blood, you specify the binomial ideal of the set of solutions of the algebraic system of equations, each of which contains two terms, – says Timur Sadykov. In the course of research I came to the conclusion that the binomial structure of diversity of the attractor can be characterized by other genetic traits (eye color, hair, etc.), and it’s not only about humans but also about animals. In addition, the obtained mathematical model can also be used in Virology. Viruses mutate much faster than humans binomial properties of the attractor are of great practical interest.»

The computer program provides the precise description of the evolutionary trajectory of a given distribution of genotypes. It allows to make conclusions about how was formed the current distribution of genotypes of blood and accurately calculate the frequency of occurrence of genotypes of blood from the population of a certain region through any given period of time, including indefinitely large. In order to obtain information of interest, the user only needs to specify the initial distribution of frequencies and specify a time frame. If the calculations the program does not take into account the presence of variables, such as: migration, immigration, emigration, genetically determined mutation.