Doklady of the National Academy of Sciences of Belarus, 2009, Vol.53, No.4
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Doklady of the National Academy of Sciences of Belarus, 2009, Vol.53, No.4

DOKLADY OF THE NATIONAL ACADEMY OF SCIENCES OF BELARUS
(Doklady Natsionalnoi Akademii Nauk Belarusi)Published by The Belaruskaya Navuka Publishing House, Minsk, Republic of Belarus 
CONTENTS
MATHEMATICS
Demidenko V. M.
Conditions of effective solvability of the quadratic problem of selection. pp. 59
Email: demidenko(at)im.basnet.by
Summary: The cone, for which strong resolvability of the quadratic problem of selection is guaranteed, is described in the fourindex matrixes space.
Matalytski M. A., Koluzaeva E. V.
Markovian queuing networks of arbitrary topology with incomes. pp. 1017
Email: koluzaeva(at)gmail.com
Summary: Methods of finding expected incomes for Markov queuing networks of arbitrary architecture with incomes are considered. Examples of application of such networks as mathematical models of various objects are obtained.
Erovenko V. A., Marton M. V.
Generalization of Kato stability theorem to essentially semiregular operators. pp. 1822
Email: erovenko(at)bsu.by
Summary: The stability properties of bounded essentially semiregular operators in Banach space as generalizations of semiFredholm operators are discussed. This article is devoted to the proof of generalization of Kato theorem for essentially semiregular operators at commuting perturbations.
Shamukova N. V.
Diophantine approximations by monic polynomials and nonmonotonic righthand side. pp. 2326
Email: shamukova_n(at)mail.ru
Summary: In the article it was proved that integral monic polynomials of arbitrary degree and with the convergence limitation of some series can approximate zero with a given order on a set of zero measure and nonmonotonic righthand side.
Usnich A. V.
Noncommutative cluster mutations. pp. 2729
Email: ausnich(at)mail.ru
Summary: In the work noncommutative cluster mutations are defined and studied. For a particular mutation matrix it is proved that the iteration of cluster mutation is assigned by noncommutative Laurent polynomials, and this gives an independent proof of the Laurent phenomenon in the commutative case.
Kilbas A. A., Zhukovskaya N. V.
Closed solution of linear inhomogeneous differential equations of Euler type with fractional derivatives. pp. 3036
Email: anatolykilbas(at)gmail.com
Summary: Linear inhomogeneous differential equations with a finite number of the RiemannLiouville fractional derivatives, being analogues of Eulertype ordinary differential equations, are investigated. Using the direct and inverse Mellin transforms and the residue theory, partial solutions of the considered equations are established in terms of the generalized hypergeometric function and of the Euler psifunction.
Demenchuk A. K.
Control problem of a spectrum of strongly irregular periodic oscillations. pp. 3742
Email: demenchuk(at)im.basnet.by
Summary: The linear control periodic system with reverse communication is considered. The control problem of a spectrum of irregular oscillations is solved.
PHYSICS
Gusak N. A.
Nonreciptocity effect in kinetic phenomena in photorefractive crystals. pp. 4346
Email: rectorat(at)ipk.by
Summary: It is shown that in a photorefractive crystal with a low concentration of acceptors a time of transition to the excited stated (and inversely) decreases with increasing the light intensity. In this case, the decrease of time of the direct process appears to be larger.
Malik A. A., Satsunkevich I. S.
Production of the (t^{}t^{+})atom at VEPP4M. pp. 4751
Email: aliasimmalik(at)gcu.edu.pk; satsun(at)dragon.basnet.by
Summary: Basic properties of a possible bound state of t^{+} and t^{} are given in this article. A total cross section of (t^{}t^{+}) production in electron positron annihilation taking into account radiative corrections and experimental widths of initial beams is calculated. It is shown that modern experiment is able to observe (t^{}t^{+}).
Zhestkov S. V., Romanenko A. A.
Constructing and analysis of solitonlike solutions of (1 + 1), (2 + 1), (3 + l)dimensional Schrodinger equations with the third power nonlinearity law. pp. 5257
Email: zhestkov_s(at)rambler.ru
Summary: The problem of existence of solitonlike solutions of (1 + 1), (2 + 1), (3 + 1 )dimensional Schrodinger equations with the third power nonlinearity law is investigated. The numericalanalytical method of constructing solitons is developed.
CHEMISTRY
Anishchenko I. V., Andrianov A. M.
Study of the conformational mobility of the HIV1 subtype A V3 loop for the rational structurebased drug design. pp. 5863
Email: anishchenko.ivan(at)gmail.com; andrianov(at)iboch.basnet.by
Summary: Molecular dynamics simulations were implemented for the HIV1 subtype AV3 loop on the basis of its static 3D structure followed by determining the rigid V3 segments and evaluating by molecular docking methodology the masking effect that can occur due to interaction of the V3 loop with the two virtual molecules constructed previously by tools of computational modeling and named CycA and FKBP peptides. As a result, the V3 segments preserving their structural parameters during the molecular dynamics computations were defined to present the universal targets for antiAIDS drug researches. From the data on molecular docking, synthetic analogs of the CycA and FKBP peptides were suggested being suitable frameworks for making a reality of the V3based antiHIV1 drug projects.
Babenko A. S., Sinelyov V. A., Britikov V. V., Tutubalina E. A., Gilep A. A., Usanov S. A.
Expression of CYP19A1, CYP1B1 and ERBB2 genes in human breast cancer tissues. pp. 6467
Email: usanov(at)iboch.basnet.by
Summary: This article is devoted to the study of a relative expression level of CYP19A1, CYP1B1, and ERBB2 genes in samples of human breast tumors. The aim was to detect a possible relationship between relative expression levels of these genes using correlation analysis. A relative gene expression level of ERBB2, CYP19A1, CYP1B1 was determined in 50 tumor samples of human breast tissue in realtime PCR. These quantitative data were normalized to GAPDH. We found a statistically significant correlation between the relative expression level of CYP19A/CYP1B1 (r_{s} =  0.508, P < 0.001). Between ERBB2/CYP19A1 (P = 0.638) and ERBB2/CYP1B1 (P = 0.438) a statistically significant correlation of the relative expression level was unable to identify what can be explained to different mechanisms of initiation and development of tumors caused by either the distortion of biosynthesis and metabolism of steroid hormones (CYP1B1, CYP19) or ERBB2proxy tumors.
Matrunchik Ju. V., Vorobieva E. V., Krutko N. P., Basalyga I. I.
Influence of differentnature surfactants on the properties of polyacryl acidbased polymer hydrogel. pp. 6872
Email: secretar(at)igic.basnet.by
Summary: The article presents the results of investigation of the colloidchemical properties of dispersion of polyacryl acidbased polymer hydrogel (PHG) in aqueous solutions of surfactants depending on the surfactant type and concentration. It is shown that a cationtype surfactant evolves absorbed water and a nonionic surfactant practically does not exert any influence on the rheological properties of hydrogel dispersion. Results of comparison of aniontype (soldium dodecylsulfate and sodium oleate) surfactants have revealed essentially higher values of rheological characteristics for the structure of PHG with soldium oleate. The crosslinking, when hydrogel interacts with sodium oleate, yields a product with new properties differing from those of the initial components.
Gerlovskij D. O., Litvinko N. M., Kuchuro S. V., Gros N. N.
Anticonpetitive inhibition of the activity of pancreatic phospholipase under the action of 2propanoil5(2,4,6trimethylphenyl)cyclohexane1,3dione. pp. 7376
Email: al_h(at)mail.ru
Summary: The kinetics of the inhibiting action of 2propanoil5(2,4,6trimethylphenyl)cyclohexane13dione (compound I) on the activity of pancreatic ФЛA_{2} is investigated. The LinuiverBerk graphical method in double reverse coordinates has defined the inhibiting mechanism of phospholipase with the participation of ФЛA_{2} in type of conjugating or anticompetitive deceleration by this 5mesitylsubstituted cyclohexane btriketone (K_{mi} = 1.6 • 10^{4} M, K_{Si} = 1.3 • 10^{2} M, K_{i} = 5.3 • 10^{3} M) and without it (K_{m} = 3 • 10^{4} M, K_{S}= 1.0 • 10^{4} M), V_{max} &#gt V_{maxi}, 1.7 • 10 and 0.74 • 10 µmole • min^{1} • mg^{1} respectively. In experiment the action of compound I upon phospholipolysis can be made in succession due to the interaction of mesithyl or ketone fragments with hydrophobic sites and agrinyl residues of enzyme necessary for participation in catalysis.
BIOLOGY
Moroz I. V., Eryomin A. N., Mikhayilova R. V., Lobanok A. G.
Comparative characterization of catalases synthesized by Penicillium piceum F648 A3 under different cultural conditions. pp. 7781
Email: enzyme(at)mbio.basnet.by
Summary: In the studies of the influence of mono and polyalcohols on biosynthesis of extracellular catalase by P. piceum F648 A3 it was found that ethanol serves as an activator of catalase synthesis. Introducing 4% (v/v) ethanol into the nutrient medium ensures an increase in the enzyme production and fungal mycelium productivity 4.5 and 7.6 times, respectively. Under the abovementioned conditions the fungus synthesizes catalase with an elevated initial rate and H_{2}O_{2} decomposition efficiency  4.14.9 times and 2.63.4 times respectively. The enzyme is characterized by high operational stability and specific activity exceeding 1.519.2 times this parameter in other catalases.
Kulesh V. F.
Growth and survival of larvae of the freshwater shrimp Exopalaemon modestus (Heller) in liquid wastes of a thermoelectric power station. pp. 8287
Email: victor_kulesh(at)tut.by
Summary: The growth and survival of larvae of the freshwater shrimp Exopalaemon modestus (Heller) were analyzed under the temperatures 1619°C, 2022°C, 2526°C in liquid wastes of the Berezovskaya electric power station (Belarus). It is shown that the larval period consists of two stages of zoea and continues 510 days depending on the temperature. The survival comes to 54100%. An average length of zoea I, II and postlarval is 4.08 ± 0.12 mm, 4.47 ± 0.23 mm and 4.70 ± 0.26 mm respectively, and an average mass is 0.54 ± 0.11 mg, 0.80± 0.15 mg and 1.02 ± 0.24 mg respectively.
Galinousky D. V., Evtushenkov A. N.
Expression of bcarotene synthesis genes in different strains of gram negative bacteria. pp. 8891
Email: dimgal200(at)rambler.ru
Summary: A plasmid based on a broad host range vector is harboring genes of synthesis of bcarotene. The plasmid was transferred to different strains of gram negative bacteria by conjugation. The obtained strains collected bcarotene and had yellow pigmentation of bacterial colonies. Strain Psedomonas stutzeri B975 harboring the plasmid produced the maximum yield of pigment. This strain collected bcarotene 3.2 as much as wildtype bacteria Pantoea agglomerans 206. We revealed the optimal growth temperature and the maximum pigment collecting temperature of Ps. stutzeri B975 caring the bcarotene synthesis genes.
MEDICINE
Chakova N. N., Mikhalenka A. P., Shloma E. N., Chebotareva N. V., Kruglenko S. S., Shelkovich S. E., Krupnova E. V., Demidchik Yu. E.
Gene polymorphism of biotransformation enzymes in ovarian cancer patients. pp. 9296
Email: XTRO_8127(at)rambler.ru
Summary: The aim of this research was to study the polymorphism of GSTT1, GSTM1 and NAT2 in ovarian cancer patients. The highest odd ratio for an ovarian cancer risk reached 3.60 (95% CI 0.8515.29) in the GSTT1()/GSTM1(+) genotypes.
EARTH SCIENCES
Astapenko V. N.
Crustul anomalies of the electrical conductivity and paleotrougs of the East European platform. pp. 97101
Email: astapenko(at)igig.org.by
Summary: A map of crustal anomalies of electrical conductivity of the East European Platform is presented. It is shown that a great many anomalies are situated in troughs of the Platform. Most of the good conductors (S > 1000 S) occur in the upper crust (015 km) of aulacogen and troughs.
TECHNICAL SCIENCES
Vityaz P. A., Sosnovskiy L. A., Sherbakov S. S.
New approaches in mechanics of deformable systems. pp. 102110
Email: sersher(at)tut.by
Summary: New approaches to mechanical and mathematical modeling of tribofatigue systems simultaneously subject to complex loading are considered. A new method of comprehensive study of the mechanical state of a deformable system and its elements including the statement and solution of stressstrain state, damage and limiting state problems is presented. Results of a roller/shaft type system research by such a method are given.
Pinchuk L. S., Bannyi V. A., Goldade V. A.
Effect of radio absorption intensification by nanosize components of polymer composites. pp. 111114
Email: mpri(at)mail.ru; bannyi(at)tut.by
Summary: Radiophysical characteristics of polymer composite materials filled with metals and ferrites have been studied as dependent on the intensity of physicalchemical processes at the interfaces between the polymer binder and filler particles during thermal molding of a composite. The kinetics of these processes controlled by varying time and temperature regimes of the composite formation and dispersivity of the filler is shown to be a determining factor in the structure formation of new phases at the polymerfiller interface and the probability of appearing colloidal particles in the polymer matrix affecting much scattering and absorption parameters of the energy of SHF radiation.
Sychevskij V. A.
Mathematical simulation of the technological process of wood drying. pp. 115119
Email: vas(at)hmti.ac.by
Summary: A mathematical model for heat and mass transfer and stressdeformed state of material is presented for description of the technological process of wood drying. The performed calculations have shown that maximum stresses appear near the sample surface. A detailed study of the development of stresses with time has made it possible to determine maximum mechanical load zones. In view of this information, the technological process of drying is calculated using GOST 1977384 "Carving Materials of Soft and Hardwoods. Drying Regimes in Chambers of Batch Operation". The analysis of the results obtained has shown that in principle, the developed mathematical models and the numerical calculation methods can describe drying processes.
AGRARIAN SCIENCES
Tsyganov A. R., Sheliuto B. V., Sheliuto A. A.
Agroeconomic efficiency of forage crops cultivation for green mass and raw in crop rotation. pp. 120124
Email: kancel(at)baa.by
Summary: The article shows the results of research on estimation of the agroeconomic efficiency of forage crops cultivation in crop rotation for green mass and raw in the conditions of Belarus. The efficiency of crop rotation for green mass and raw was estimated according to the structure of gross produce and economic usage. We have established an advantage of pasture and hay types of crop rotation on the basis of perennial grasses. Among the crops examined, the most productive and economically efficient are alfalfa for sowing as single crop and in combination with Festuca orientalis.
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