Doklady of the National Academy of Sciences of Belarus, 2007, Vol.51, No.4
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Doklady of the National Academy of Sciences of Belarus, 2007, Vol.51, 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
50 years of Doklady of the National Academy of Sciences of Belarus. pp. 56.
MATHEMATICS
Savchuk V. F., Matysik O. V.
Convergence of an implicit iteration method for solution of operator equations in the Hilbert space. pp. 712
Email: matysik(at)brsu.brest.by
Summary: An implicit iteration method for solution of operator equations in the Hilbert space is proposed. Convergence of the method is proved in the case of an apriori choice of a number of iterations, error estimations are obtained. The case of nonunique solution and convergence of the method in energy norm is investigated. For the proposed method the opportunity of application of the residual stop rule and the rule of neighboring approximations is proved.
Minyuk S. A., Panasik O. A.
Theory of controllability of linear stationary differentialalgebraic systems. pp. 1318
Summary: Criteria of damping and controllability in the space R^{n} of linear stationary regular differentialalgebraic systems are proved. The results are illustrated by two examples.
Likhoded N. A.
Functions for data distribution among processors and iterations of a parallel algorithm. pp. 1924
Email: likhoded(at)im.basnet.by
Summary: Functions for data distribution are introduced. The functions are coordinated with scheduling functions. The processors and iterations, which use the fixed data entry into statement, are determined. This allows one to obtain the initial data distribution, the information about the data volume for every processor, the structure of communications.
Vorob'ev N. N.
Separated lattices of totally local Fitting classes. pp. 2528
Email: nicholas(at)vsu.by
Summary: It is proved that the lattice of all soluble totally wlocal Lockett classes is Sseparated.
BeniashKryvets V. V.
Free subgroups of generalized triangle groups of type (2,4,2). pp. 2932
Email: benyash(at)bsu.by
Summary: The Tits alternative holds for generalized triangle groups Г = < a,b; a^{2} = b^{4} = R^{2}(a,b) = l > , where R(a,b) = аb^{u1} .. ab^{us}, 0 < u_{i} < 4 and s > 4 and s > 4 is odd.
Gaishun I. V.
Asymptotic estimation of the states of twodimensional discrete systems. pp. 3335
Email: gaishun(at)im.basnet.by
Summary: A method of estimation of twodimensional discrete systems is proposed.
PHYSICS
Sukhodola A. A.
Delayed luminescence of vapors of indole and Nmethylindole. pp. 3639
Email: sukhodola(at)imaph.basnet.by
Summary: Spectral and kinetic characteristics of delayed luminescence of Nmethylindole and indole in the gas phase have been studied. Nmethylindole delayed luminescence represents ptype delayed fluorescence. Its spectrum approximately coincides with a fluorescence spectrum. Indole ptype delayed fluorescence has not been recorded, however, delayed luminescence in the spectral region with a maximum at l_{max} = 535 nm is observed and has been interpreted as luminescence of free radicals to be formed due to the NH bond dissociation. It is supposed that the excited states of free radicals are populated due to nonradiative energy transfer from the triplet states of indole to the doublet states of free radicals. Calculated from the kinetics of the delayed luminescence lifetimes of the triplet states of Nmethylindole and indole at T = 373 K are 2.5 and 1 ms, respectively.
CHEMISTRY
Kudina E. F., Pleskachevsky Yu. M.
Isolation of dispersed silica in the acidic medium at microwave heating. pp. 4044
Email: kudina_mpri(at)tut.by
Summary: Dispersed silica has been obtained from alkalisilicate solutions in the acidic medium in the conditions of microwave heating. The effect of microwave heating on physicalchemical properties and the structure of the formed products has been studied as dependent on the activity of the dispersion medium used. It is shown that the use of thus obtained silica as additives to lubricating compositions ensures their durability in heavyloading conditions.
Adrianov A M.
Determination of the conservative elements of the HIV1 V3 loop structure in the HIVMN and HIVHaiti isolates. pp. 4551
Email: andrianov(at)iboch.basnet.by
Summary: The computer approaches, which combined the methods of 3D protein structure modeling with the mathematical statistics methods, were used to compute 3D structures of the principal neutralizing determinant of the human immunodeficiency virus of type 1 (V3 loop of the gp120 protein) in the HIVMN and HIVHaiti isolates as well as to compare their conformational characteristics with the purpose of determining the structure elements common for two virus modifications. As a result, the variability of the amino acid sequence was found to stimulate considerable structural rearrangements of the V3 loop. However, a greater part of its amino acid residues was shown to preserve the conformations in the virus strains of interest. The invariant structure elements of V3 appearing in the functionally significant regions of gp120 are considered as the promising targets for potential antiHIV1 drugs. The search for them may be realized by the molecular docking methods with posterior selection of chemical compounds suitable as a basis for design of safe and effective antiviral agents.
BIOLOGY
Shylakhotko E. A., Sapunova L. I., Lobanok A. G., Korzhik A. M., Evtushenkov A. N.
Lactose induced synthesis of xylose isomerase in Escherichia coli BL21(DE3)/pET24bxylA recombinant strain. pp. 5256
Email: leonida(at)mbio.basnet.by
Summary: The influence of lactose on the xylose isomerase synthesis in Escherichia coli BL21(DE3)/pET24bxylA recombinant strain with xylA gene incorporated from Arthrobacter sp. under the control of a phage T7 promoter is investigated. It is established that lactose addition at the early exponential phase of the bacterial culture growth provides 1.3 times higher enzyme productivity of recombinant strain in comparison with the isopropyl1thiobDgalactopyranoside supply. The induction effect on the enzyme biosynthesis does not depend on the concentration of a specific substrate (0.0012%) and reaches maximum values in 4 hours after its addition into the cultural medium.
Yaronskaya E. B., Gritskevitch E. R., Averina N. G.
Kinetin and light effects on the Mgchelatase activity in barley leaves treated with streptomycin. pp. 5760
Email: yaronskaya(at)biobel.basnet.by
Summary: Exposure of barley seeds to streptomycin, an inhibitor of plastid translation, induces the development of albino seedlings with undifferentiated ribosomedeficient plastids. In these plants, the activity of Mgchelatase is reduced by 7787% as compared to control seedlings. The decreased enzyme activity has been already detected in etiolated plants with undifferentiated plastids, indicating that the plastid signal activity does not depeund on the light. Whereas the activity of Mgchelatase in control seedlings was stimulated upon light and kinetin exposure, these stimuli did not affect the enzyme activity in the white tissue of streptomycintreated plants. Application of antibiotic did not cause a modification of endogenous levels of cytokinins in etiolated and greening barley seedlings. Almost twofold higher cytokinin content was demonstrated in streptomycintreated light/dark grown plants as compared to control. Based on the results obtained, we propose a close interaction of a plastidderived signal, light and cytokinins when regulating the Mgchelatase activity.
Sarnatsky V. V.
Zone and typological forecast of periodic mass drying of spruce forests. pp. 6164
Email: sarnatsky(at)biobel.basnet.by
Summary: On the basis of the revealed zone and typological regularities of mass damage of spruce stands, the algorithm is developed and parameters of continuous drying of spruce forests in the conditions of the periodic extreme manifestation of ecological factors are determined.
Shapturenko M. N., Shostak L. M., Tarutina L. A, Mishin L. A, Khotyleva L. V.
Estimation of the productive potential of sweet pepper through kinetic parameters of seed thermodestruction. pp. 6570
Email: shapturenko(at)igc.basnet.by
Summary: Thermogravimeric analysis and differential scanning calorimetry of thermochemical decomposition of pepper seeds is carried out. The characteristic of kinetic parameters (Ea, Dm) of seed destruction of a line collection is given. Character expression of quantitative traits of lines is investigated, the effect of hybrids F_{1} heterosis is estimated. A potential use of the kinetic parameters of seed destruction is studied to predict the sweet pepper yield potential. Results indicate that despite the lack of a high correlation between the value Ea and a degree of heterosis, the thermogravimetric analysis can be used for estimation of parental diversity and for creation of heterotic groups.
MEDICINE
Belugin S. N., Mifflin S. W.
Changes of potentialdependent inactivating potassium currents at intraneuronal cAMP dialysis of NTS neurons of hypertensive rats. pp. 7176
Email: beluginsn(at)hotmail.com
Summary: The data were obtained using the wholecell patch clamp of NTS neurons of normotesive (NT) and renalwrap hypertensive rats (HT). Transient potassium currents (TOC) and their steadystate (SS) component were less expressed in NTS neurons of HT rats than in neurons of NT rats. Both NT and HT neurons with cAMP dialysis (0.1 mM) showed delaying kinetic of TOC inactivation (slower decay) and increasing SS currents. Absolute and normalized values of SS currents were higher in cAMP dialysed neurons of HT rats than in cAMP dialysed neurons of NT rats. Changes of TOC in NTS neurons of HT and the more prominent effect of cAMP on TOC inactivating kinetics in neurons of HT suggest a particular role of the cAMPdependent phosphorylation in modulating effects on TOC and neuronal excitability in NTS after long steady hypertension in comparison to the normotensive state.
TECHNICAL SCIENCES
Sergienko V. P., Kupreev A. V., Bukharov S. N.
Triboengineering processes on contact surfaces of oilcooled friction pairs. pp. 7780
Email: sergienko_vp(at)mail.ru
Summary: Tribological processes occurring on the oilcooled frictional contact in transient friction regimes have been studied. Wear mechanisms and structural changes in the rubbing materials along with the phenomena of heat and mass transfer in the friction zone have been analyzed.
Artioyukhina N. K.
Theoretical bases of aberration correction in fourmirror objectives. pp. 8185
Email: art49(at)mail.ru, art4913(at)rambler.ru
Summary: The theory of Seidel aberration calculation of fourmirror objectives is described. The aplanatic and anastigmatic correction methods of mirror objectives with catoptric lens are given. Different variants of designs possessing the increased field angles and high aperture are found. Results of calculation can be used for development of new optical devices using mirror optics.
Kiselevsky O. S., Kazachenko V. P.
Fourier analysis of untrasmooth fractal surface profiles. pp. 8688
Email: kvp(at)belsut.gomel.by
Summary: Numerical simulation of surface profiles with stated fractal dimension was carried out. The dependence of the Fourierspectrum profile behavior on fractal dimension D and codimension H of the surface was investigated. An empirical exponential formula of the dependence of Hurstparameters on the powerspectrum steepness of the profiles was proposed.
Azharonok V. V., Bazylev N. B., Gorzhanova T. N., Lavinskaya E. I., Filatova I. I., Fomin N. A.
Digital laser monitoring of changes in the structure of printing paper after its treatment by RF discharge. pp. 8993
Email: fomin(at)hmti.ac.by
Summary: The article presents a novel technique for diagnostics of microstructure changes in diffusing media based on still digital camera recordings and statistic analysis of speckle fields generated by laser probing of these media. Histograms and autocorrelation functions of intensity distributions in the investigated areas of the specklefield prove to be one of the appropriate forms for result presentation. Parameters of these functions can be accepted as simple criteria which characterize quantitatively changes in the microstructure of paper samples after their treatment by plasma of RF discharge.
Yausei A. U., Prokopchuk N. R.
Structure and properties of composite materials on the basis of recycled poly(ethylene terephthalate)thermoplastic mixtures. pp. 9499
Email: evsandj(at)rambler.ru
Summary: The dependence of the basic physical and mechanical characteristics of a polymeric mixture of recycled poly(ethylene terephthalate)thermoplastic on its structure is considered. The interaction of mixture components and the influence of a polymeric modifier on the glassfilled poly(ethylene terephthalate) properties are described.
Dyakonov O. M.
Methods of calculation of heat and mass transfer at metal chip heating. pp. 100108
Summary: The main calculation methods of heat and mass transfer in porous heterogeneous media have been considered and the evaluation of the possibility of their application for calculation of metal chip heating and drying has been given. It is shown that the description of transfer processes has its specific character stipulated by a difference between thermal and physical properties of chip material and lubricantcoolant components at chip surfaces. It is determined that the known expressions for effective transfer coefficients can be used as a basis in the approach of mutually penetrating continua. The mathematical description of heat and mass transfer in the chip medium could be a basis of the mathematical model, numerical solution and parameter optimization of these processes.
EARTH SCIENCES
Karabanov A. K, Motuzko A. N., Pisanenko A. D., Rylova T. B., Sanko A. F., Khursevich G. K, Yakubovskaya T. V.
First find of the remnants of the fossil elephant of the genus Palaeoloxodon matsumoto in the territory of Belarus. pp. 109114
Email: kar(at)igig.org.by, motuzko(at)land.ru
Summary: The information on the first finding of the remnants of the forest elephant Paleoloxodon antiquus (Falconer et Cautley) in Belarus when constructing the Underground line in Minsk is given in the article. Bedding conditions and environmental surroundings of the existence of animals during the Muravian (Eemian) Interglacial are described.
SOCIAL SCIENCES AND HUMANITIES
Kulak M. I., Nichiporovich S. A., Trusevich N. A., Mironchik E. S.
Methodological approaches of the formation of the structure of the organizational life cycle as a polydynamic system. pp. 115120
Email: kulak_m(at)yahoo.com
Summary: The article is devoted to the development of methodology of research of the life cycle for the organization by its quantitative modeling. The direct purpose of the work is the determination of the system of economic factors that are significant for the description of the life cycle for the organization as a polydynamic system. The developed technique allows one to calculate resources of all factors that describe the life cycle of the organization. The article gives an example of modeling of the life cycle of the organization for a particular printing enterprise.
AGRICULTURE
Tanana L. A., Daskevich M. A., Doroshko A. A.
Meat efficiency of bulls of blackmotley breed of different origin. pp. 121124
Summary: When studying the parameters of the meat efficiency of bulls of the Belarusian blackmotley breed of different origin the authentic distinction on daily average gains between animals of Holland and Golshtin origins is not revealed. During the age periods of 69, 912 and 1215 months the animals of Holland origin have higher relative gains, whose dynamics testifies to their ability to keep a high growth rate for longer time. Studying the morphological structure of halfcarcasses of experimental animals shows that authentic distinctions on an output of pulp in the halfcarcass have been observed in shoulderblade and hip parts (P < 0.05).
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