Doklady of the National Academy of Sciences of Belarus, 2009, Vol.53, No.1
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Doklady of the National Academy of Sciences of Belarus, 2009, Vol.53, No.1

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
Gabasov R., Kirillova F. M., Kuzmenkov D. S.
Optimal control of a thermal process. pp. 59
Email: kirill(at)nsys.by, d_kuzm(at)tut.by
Summary: A problem of optimal control of a thermal process in the rod by changing a temperature of a medium on one of its ends is considered. The parabolictype differential equation describing the process is approximated by largescale differential equations. This problem is solved by a method of quasidecomposition, the algorithm of operation of the optimal regulator forming in real time current values of an optimal feedback is described.
Demenchuk A. K.
Irregular periodic problem with commutation of coefficients of a reduced system. pp. 1014
Email: demenchuk(at)im.basnet.by
Summary: The existence and stability sufficient conditions for periodic irregular solutions are given for ordinary differential systems with small periodic perturbations in the case of commutative coefficients of a reduced system.
Vorob'ev N. N., Skiba A. N., Shemetkov L. A.
Laws of lattices of partially saturated formations. pp. 1518
Email: vornic2001(at)yahoo.com, skiba(at)gsu.by, shemetkov(at)gsu.by
Summary: It is proved in the universe of finite groups that for any nonnegative integer n and a set of primes w every law of the lattice of all tclosed formations is fulfilled in the lattice of all tclosed wsaturated formations.
Tanyhina A. N.
Analogs of the Hicks theorem for the open Leontiev  Ford model. pp. 1926
Email: anastminsk(at)yandex.ru
Summary: The analogs of the Hicks theorem for the open Leontiev  Ford model are proved. In particular, the criterion of diminishing residual damages in the environment is obtained.
Suprunenko I. D.
Unipotent elements from subsystem subgroups in the representations of the classical groups with large highest weights. pp. 2732
Email: suprunenko(at)im.basnet.by
Summary: The behaviour of unipotent elements from proper subsystem subgroups in the irreducible modular representations of the classical algebraic groups in a positive characteristic is investigated. Lower estimates for the number of the Jordan blocks of the maximal dimension in the images of such elements in the irreducible representations of these groups with highest weights large enough with respect to the characteristic and a fixed element are obtained. The class of large weights is defined in terms of the values of a certain function determined by a relevant element.
Bakhtin V. I., Gorokhovik V. V.
Secondorder optimality conditions in vector optimization problems with geometric constraints. pp. 3338
Email: gorokh(at)im.basnet.by
Summary: We present new second order optimality conditions for vector optimization problems with nonsmooth objective mapping and geometric constraints.
Orlovich Yu. L., Gordon V. S., Blazewicz J., Zverovich I. E., Finke G.
Independent dominating and neighborhood sets in triangle graphs. pp. 3944
Email: orlovich(at)bsu.by, gordon(at)newman.basnet.by
Summary:
Korzyuk V. I., Cheb E. S., Shirma M. S.
Classical solution of the first mixed problem for the equation of the string vibration. pp. 4549
Email: korzyuk(at)bsu.by
Summary: Using the method of characteristics, the analytical solution of the first mixed problem for the wave equation is under construction. Conditions for coordination of initial and boundary condition are derived.
PHYSICS
Tolkachev E. A.
Stability groups and dual transformations of spacetime noncommutativity matrices. pp. 5054
Email: tea(at)dragon.basnet.by
Summary: Using the biquaternionic formulation of the commutative analog of the noncommutative Maxwell theory provided by the SeibergWitten map it is shown that there are two subgroups of SO(1.3) that remain the spacetime coordinates commutation relations invariant: SO(2) Ä SO(1. 1) or T_{2} depending on the distinct values of the noncommutativity matrix invariants. It is demonstrated that corresponding nonlinear equations are also invariant under discrete but not continuous dual transformations.
Gaponenko S. V., Guzatov D. V.
Rationale for single molecule detection by means of Raman spectroscopy. pp. 5558
Email: s.gaponenko(at)ifanbel.basnet.by
Summary: A consistent quantum electrodynamical description is proposed of Raman scattering of light by a molecule in a medium with a modified photon density of states. Enhanced local density of states near a metal nanobody is shown to increase a scattering rate by several orders of magnitude, thus providing a rationale for experimental detection of single molecules by means of Raman spectroscopy. For an ellipsoidal particle 10^{14}fold enhancement of the Raman scattering crosssection is obtained.
CHEMISTRY
Yurkova I. L., Shadyro O. I., Kisel M. A., Arnhold J., Huster D.
Formation of phosphatidic acid in mitochondria under the conditions of modeling oxidative stress. pp. 5963
Email: shadyro(at)open.by, kisel(at)iboch.basnet.by, Juergen.Arnhold(at)medizin.unileipzig.de
Summary: It is established that phosphatidic acid is formed in mouse liver mitochondria under the conditions of Fe^{2+} mediated hydroxyl radical generation. The MALDITOF mass spectrometry analysis of phospholipid molecular species has revealed that this newly formed phosphatidic acid was derived from cardiolipin. The findings are evidence of the formation of phosphatidic acid via an HO^{•}radical induced fragmentation taking place in the polar moiety of cardiolipin.
Kozlov N. G., Agabekov V. E., Bondarev S. L., Basalayeva L. I., Kadutskiy A. P.
Synthesis of carbonylcontaining heterocyclic compounds and their fluorescent and nonlinear optical properties. pp. 6467
Email: loc(at)ifoch.basnet.by
Summary: Quinolines and quinolinediones were synthesized by the reaction of 2naphtylamine with arylmethylenediones or arylmethylenetriones obtained by condensation of aromatic aldehydes with tetronic and barbituric acids. Compounds with nonlinear optical properties were found.
Krul L. P., Belov D. A., Butovskaya G. V., Shishonok M. V., Polikarpov A. P., Selevich K. A.
Crystal structure peculiarities of amosphous and semicrystalline polylactide mixtures. pp. 6873
Email: hmc(at)bsu.by
Summary: A phenomenon of overadditive increasing of the crystallinity degree of stereoregular polyLlactide during film casting from solutions of its mixtures with atactic noncrystallized polyD,Llactide has been revealed for the first time. The phenomenon observed seems to be dealt with the formation of the polyLlactide metastable crystal phase due to intermolecular interaction of polyLlactide and polyD,Llactide chains which are identical in chemical composition and close in molecularmass characteristics. The development of biodegradable polymeric materials with the given mechanical and thermal properties and a controllable biodegradation rate based on mixtures of amorphous and semicrystalline polylactides has been shown to be very promising.
Lakhvich F. A., Antonevich I. P., Katok Ya. M., Nesterova S. V.
Synthesis of oxiranylcyclopentanisoxazolines. pp. 7478
Email: ipantonevich(at)rambler.ru
Summary: The oxiranylcyclopentanisoxazolines have been synthesized via epoxidation of cyclopentenisoxazolines by 3chloroperbenzoic acid. The reaction proceedes with high chemo and stereoselectivity.
Shutova I. V., Gribovskaja O. V., Tsyganova V. P., Golubovich V. P.
Designing of lowmolecular peptide compounds  synthetic analogs of antigenic determinants of human thyroid peroxidase. pp. 7984
Email: shutova(at)iboch.basnet.by
Summary: Computeraided designing, synthesis and in vitro investigations of the novel peptides  synthetic analogs of antigenic determinants of human thyroid peroxidase were carried out. The high activity of some of these peptides allows their use as a new reagent for constructing immunodiagnostic systems, a ligand for immunosorbent and a potential therapeutic agent modulating immune responses.
BIOLOGY
Starodubtseva M. N., Kavalenka A. I., Cherenkevich S. N.
Structural dynamics of peroxynitriteactivated neutrophils. pp. 8589
Email: marysta(at)mail.ru
Summary: The analysis of peroxynitriteactivated neutrophils after their interaction with glass surface and chemical fixation was carried out using atomic force microscopy. The classification of peroxynitriteactivated neutrophils was put forward and the classification parameters characterizing the shape and the structure of neutrophils interacted with a substrate were determined. The neutrophil types differ in the geometrical parameters (diameter and height) as well as in the sizes of the granules on their surface and fractal dimension of lateral force maps (scanning area sizes of 4 x 4 µ m and 1 x 1 µ m). A new path of neutrophil activation with peroxynitrite was revealed. It appears morphologically through degranulation and formation of neutrophil extracellular traps (NET path).
Reuzkij V. G., Rodionov P. A.
Specific features of the water motion in the apoplast  cell system. pp. 9093
Email: waterreg(at)biobel.basnet.by
Summary: It is experimentally established that aquaporins of a plasma membrane of higher plants mesophyll cells make, at least two functions: work as a pump which injects water from the apoplast to the cell, and a water channel via which water moves from the cell to the internal evaporating surface of the leaf. The motive force of the last stream is a hydrostatic pressure of cytoplasm and capillary forces of apoplast, including those of cellular walls. In the aggregate, these data suggest that plant cells are not ideal osmotic structures. A new model of water exchange of a cell is accordingly offered.
MEDICINE
Zorina T. E., Dalidovich A. A., Marchenko L. N., Kravchenko I. E., Savitsky V. P., Petrov P. T., Zorin V. P.
Mechanisms of laser therapy with photosensitizer Photolon in ophthalmology. pp. 9498
Email: zorinate(at)mail.ru
Summary: The reaction of vasculature on sensitized by chlorine e6 and Photolon photoirradiation was studied. The dynamics of microvascular collapse and blood cells damages were compared. It was suggested that the principal cause of irradiationdependent blood stasis was the photosensitized damage of blood vessel endothelium. Studies were also carried out to evaluate the therapeutic effect of photodynamic treatment with photosensitizer Photolon of patients with neovascular macular diseases. The data obtained showed the proven benefit of photosensitized laser irradiation for the treatmentagerelated macular degeneration and myopic maculopathy.
EARTH SCIENCES
Garetsky R. G., Karatayev G. I.
Tectonicgeodynamic cluster in the center of the East European Platform. pp. 99103
Email: german(at)igig.org.by
Summary: The Sloboda tectonicgeodynamic cluster was discovered in the center of the East European Platform as a peculiar tectonic element. The magnetic and gravity anomalies converge there forming a fanshaped cluster. There are evidences that the cluster was formed by deepseated mantle plumes. The cluster was generated as a result of articulation of the basic segments (Fennoscandia, Sarmatia and VolgaUral) and convergence of early aulacogens shaped as a camomile  flower.
TECHNICAL SCIENCES
Shapovalov V. M., Bochkaryov D. I., Juravel N. G., Tychonuk V. V., Pleskachevsky Yu. M.
Investigation of the kinetics of the processes of the technological superposition of fuses of the composites "bitumen  polymer modifying additives". pp. 104108
Email: mpri(at)mail.ru
Summary: Using the analytical and empirical methods the time of the technological superposition of fuses of composites "bitumen polymer modifying additives" was determined. The hypotheses about the changes in the rheological characteristics of bitumen are stated in the context of the kinetics of the processes of its technological superposition with polystirol.
Lynkov L. M., Krishtopova E. A., Borbotko T. V.
Synthesis and structure of copperbearing powdery shungitebased materials. pp. 109111
Email: katy_a(at)tut.by, kafzi(at)bsuir.by
Summary: Results on the chemical composition and radio absorbing properties of copperbearing powdery shungitebased materials synthesized by chemical reduction of copper from water solutions on the surface of powdery shungite are presented. The technique of synthesis of copperbearing powdery shungitebased materials by chemical copper reduction over the temperature range 6065 ° C is proposed It is shown that the obtained materials contain metal copper of cubic modification, chemical compound silicon with copper (Cu_{5}Si) and sulphide of copper (Cu_{2}S). It is shown that the value of the transfer coefficient decreases by 7 dB with increasing the value of the reflection loss by 0.51.5 dB by synthesized copperbearing powdery shungitebased materials in the frequency range of 812 GHz in comparison with powdery shungite, which indicates the growth of the absorption of electromagnetic energy incident on the sample owing to the creation of the distributed structure obtained from carbon and copper in the volume of synthesized copperbearing powdery shungitebased materials. It is obvious that by changing the conditions of chemical reduction of copper on the surface of powdery shungite it is possible to obtain materials for electronic techniques with required radio absorbing properties.
SOCIAL SCIENCES AND HUMANITIES
Nikitenko P. G., Platonova L. A.
Semantic approach to the competitiveness of the economic system. pp. 112118
Email: platonova.larisa(at)mail.ru
Summary: The existing scientific approaches to the concept of the competitiveness of some scientific and international organizations are presented. Their critical analysis is offered. The new competitiveness theory based the systematic approach and synergetrics is proposed.
AGRARIAN SCIENCES
Sheiko I. P., Timoshenko T. N., Shiman T. L.
Estimation of duroc sows beed by selection indices. pp. 119123
Email: belniig(at)tut.by
Summary: Creating pig breeds of intensive type is one of the factors for labor productivity increase. Only genetically highly productive animals will let us to decrease a prime cost of products and to increase profitability of the branch. The aim was to calculate selectiongenetic parameters, weight indices and construct selection indices for different sexage groups of duroc breed pigs on their basis depending on the linear affiliation. Selection indices constructed depending on linear affiliation are the most objective model for animals' genotype estimation and usage for selection of animals for creation of highly productive lines and herds.
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Created with assistance of Dr. Ignatii I. Korsak
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