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Doklady of the National Academy of Sciences of Belarus, 2006, Vol.50, No.5

Homepage / Publications / Scientific Journals

Doklady of the National Academy of Sciences of Belarus, 2006, Vol.50, No.5

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

Volume 50, Number 5; September-October, 2006

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CONTENTS


MATHEMATICS

Alehno A. G.
Solvability conditions of the Riemann uniform boundary-value problem with an infinite index for multilateral vorticity. pp. 5--10

Summary: The solvability conditions are given for the Riemann boundary-value problem in the space of bounded analytic functions.

Karaliova E.V., Lebedev A. V.
Spectrum of the C*-algebra generated by singular integral operators with discontinuous oscillating coefficients (postliminality). pp. 11--15

Summary: The spectrum of the C*-algebra generated by singular integral operators with discontinous oscillating coefficients is described. It is proved that this algebra is postliminal.

Grinko A. P.
Composition properties of operators of local fractional integro-differentiation. pp. 16--21

Summary: Operators of local fractional differentiation and integration in the neighbourhood of a finite point of the real axis are considered. Composition formulas for operators of such local differentiation and integration with equal and different exponents are proved in the space of summable functions

Tsegel’nik V. V.
Hamiltonians associated with some nonlinear diferential equations of the fourth order with Painleve’s property. pp. 22--24

Summary: Some nonlinear ordinary differential equations (ODEs) of the fourth order satisfying Painleve’s test are considered. Among them are the fourth -- order analogue of Painleve’s first equation and the generalized fourth – order analogue of Painleve’s second equation. Two equations including the second and first members of hierarchies of the ODEs obtained by a similar reduction from the Gaudrey-Dodd-Gibbon and Kaup-Kupershmidt equations, respectively, are also considered. The formulas (generalizing the earlier ones known) of polynomial Hamiltonians associated with the specified equations are obtained.

Knyazhishche L. B.
Lyapunov’s nonmonotone functionsls (stability conditions for neutral type equations). pp. 25--27

Summary: Lyapunov’s nonmonotone functionals based stability tests are presented for the neutral type delay equations.

Zakrevsky A. D.
Vector analysis of a Boolean function for decomposability on a given division. pp. 28--29

Summary: A new algorithm is suggested for checking a Boolean function for decomposability on a given division of variables. It is based on the vector representation of the well-known condition of decomposability and on using efficient parallel componentwise operations over Boolean vectors which represent regarded functions.

Gaishun I. V.
Stability for linear total differential equations invariance of inverse of time with periodic coefficients. pp. 30--32

Summary: Some conditions of stability for linear total differential equations invariance of inverse of time with periodic coefficients are obtained.

Leonov N. N.
k-mean in compact ultrametric spaces. pp. 33--36

Summary: Earlier the author has proved that the mean of a measure on a compact ultrametric space belongs to the support of the measure. Here we extend this result to the k-mean in a space of the same kind.

Savchuk V. F., Matysik O. V.
Implicit iteration procedure for solution of the operator equations in the Hilbert space. pp. 37--42

Summary: An implicit iteration procedure 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 estimates are obtained. The cases of nonuniqueness, the approximately given operator and convergence of the procedure in power norm are investigated. For the procedure under consideration, the opportunity of application of the rule neighboring approximations is studied.

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PHYSICS

Sivtsov I. A., Tomilchik L. M.
Modeling of the cold dark matter by a scalar field in the framework of GR. pp. 43--48

Summary: By algebraic analysis of the Einstein tensor structure we find an general form of a static conformally-flat nonsingular metric that can result from the presence of a scalar field with arbitrary Lagrangian in the framework of GR. It is shown that the previously suggested metric with quadratic r dependence reproducing the behaviour of the common part of typical galaxy flat rotation curves cannot be attributed to a scalar field with an ordinary matter neglect.

Goncharenko A. M.
Propagation of optical solitons in a nonlinear defocused medium. pp. 49--52

Summary: The propagation of light solitons in a nonlinear defocused medium is considered. It is shown that stable solitons can exist in such a medium.

Ryzhkovsky V. M., Mitsiuk V. I.
Magnetic phase lamination in the Mn2-xZnxSb alloys (0.5 < х £ 1.0). pp. 53--55

Summary: The conclusion about the two-phase magnetic state existence (ferromagnetic + ferrimagnetic) in the Mn2-xZnxSb alloys (0.5 < х £ 1.0) with the structural uniformity of alloys is made from the analysis of powder X-ray and magnetometrical data.

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CHEMISTRY

Adrianov A. M.
Modeling of local and secondary structures of the HIV-RF gp 120 V3 loop in HIV-RV and HIV-Thailand viral strains. pp. 56--62

Summary: The conformation of the HIV-RF gp120 V3 loop giving rise to the virus principal neutralizing determinant as well as determinants of cell tropism and syncytium formation was built by computer modeling methods in terms of NMR spectroscopy data. The elements of the HIV-RF V3 loop secondary structure and conformational states of its irregular stretches were determined. The structural elements, which are preserved in two viral strains, were identified using the comparative analysis of the simulated structure with that of the homologous site for the HIV-Thailand gp120 V3 loop. Conservative structure elements of the HIV-1 V3 loop are considered to be promising targets for deriving its chemically modified forms characterized by the enhanced immunogenicity and cross-reactivity of neutralizing antibodies, as well as for the antiviral drug design resulting from these researches.

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BIOLOGY

Bulyha I. M., Titok M. A.
Organization of systems for replication initiation of plasmids of the group IncP-9. pp. 63--68

Summary: Plasmids of the IncP-9 group are characterized by a considerable diversity and include R-plasmids which determine bacterial resistance to a wide range of antibiotics, ultraviolet irradiation and heavy metals ions, and also D-plasmids assuring the utilization of different organic compounds. Among naphthalene-utilizing bacteria Pseudomonas, which were isolated from different environments in Belarus (61 strains were analysed), most frequent are D-plasmids of the IncP-9 group and those with an indefinite group of incompatibility. One of the analyzed strains contains a plasmid with two replicons (IncP-7 and IncP-7). Restriction and sequence analyses of amplification products obtained for rep-regions of isolated plasmids allowed us to refer most of them to the 8-subgroup and, in addition, to identify 3 new subgroups of the IncP-9 group (designated as x, h and IncP-9-like replicons). Thus, the performed research confirmed the fact that the P-9 incompatibility group is presented by extrachromosomal genetic elements characterized not only by a phenes diversity, but also by a high degree of polymorphism among nucleotid sequences of their regions of replication initiation.

Mikhailova R. V., Zhukovskaya L. A., Lobanok A. G., Bildiukevich A. V., Kasperchik V. P.
Use of the method ultrafiltration membranes for concentrating glucose oxidase of Penicillium adametzii ЛФ F-2044.1. pp. 69--72

Summary: The process of ultrafiltration concentration and desaliration of a cultural filtrate from P. adametzii ЛФ F-2044.1 containing glucose oxidase was investigated. It was found that the glucose oxidase production technology may use hollow fibre membrane elements MPVE PS 10M-0.2 and MPVE PS 10M-1.0 ("Mifil", Belarus), ultrafiltration membranes PAN-10M and PAN-10MS ("Mifil", Belarus) and membranes UPM 10 and UPM 20 ("Vladipore", Russia). Application of hollow fibre membrane units and ultrafiltration membranes ensures the optimal specific productivity of the process with minor losses of enzyme activity.

Buseva J. F.
Community structure of planktonic crustaceans in the variable environment in the littoral zones of the eutrophic lake. pp. 73--75

Summary: The community structure of planktonic crustaceans was analyzed in pelagic and littoral zones in the eutrophic Lake Obsterno (Belarus) in three types biotops (with macrophytes, without macrophytes and the "windows among of macrophytes). For cladocerans and copepods the diel amplitude of fluctuation of abundance with a minimum at daytime and maximum at night were recorded. The Simpson index was higher in the macrophyte bed than in the "window", and the community structure in the macrophyte bed differed from the one in the "window". It is suggested that the "window" is a specific biotope which characterizes the own community structure and the diel dynamics of abundance.

Konoplya E. F., Sushko S. N., Malenchenko A. F., Ferapontova N. A.
Rose of a dose rate in inducing genetic damages under equivalent irradiation doses. pp. 76--79

Summary: Under a combined influence of g-irradiation in a dose of 0.35 Gy (dose rate of 1 Gy/h and 0.01 Gy/h) and urethane, the frequency of exchange-type chromosome aberrations in bone marrow cells and micronuclei in peripheral blood polychromatic erythrocytes were studied in the case of irradiation in low-dose rate and early term.

Semenchenko V. P., Suschenya L. M.
Seasonal variability of the cladorean abundance in the eutropic lake. pp. 80--81

Summary: The dynamics of abundance of different species of cladocera in the pelagic zone of the Lake Obsterno during June-September has been analyzed. The positive linear relationship (r = 0.77, P < 0.01) between the abundance variability, estimated as variance, and the Simpson Index has been obtained. Consequently, the temporal variability of community increases with decreasing species diversity. The regression analysis has shown that the population variability is related with the total abundance of phytoplankton (r = 0.46, P < 0.05), transparency (r = – 0.36, P < 0.05), and temperature (r = 0.90, P < 0.001).

Zgurskaya N. A., Shakhbazau A. V., Goranov V. A.
Gene therapy perspectives in treatment of insulin-dependent diabetes mellitus. pp. 82--87

Summary: Some new approaches in treatment of insulin-dependent diabetes mellitus suggest a combination of cell therapy methods with genetic modification of transplanted cells. The use of cells with integrated insulin genes or b-cells with genes of resistance to different damaging agents, such as soluble blood factors (cytokines, complement molecules, antibodies a etc.) ensures protection, stabilizes metabolism of transplanted cells and increases its antiapoptogenic properties. Special importance is related to the possibility of tranfection of progenitor cells enclosed within immobilized implants.

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MEDICINE

Soltanov V. V., Sergeyev V. A., Sysoyeva I. V.
Modulation of the functional state of skeletal muscles by repeated stimulation with pulsed magnetic fields. pp. 88--92

Summary: In experiments on conscious rabbits, potentials of m. sartorius before and after its stimulation by repeated high-intensity pulsed magnetic fields were recorded. A substantial increase in the rate and amplitude of the muscle potentials in the post-stimulus period with stimulus intensity of 1.1 Tl and the stimulus inhibition with the stimulus intensity of 1.4 and 1.6 Tl were observed.

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TECHNICAL SCIENCES

Dudar N. L., Leonov N. I., Getjman S. N., Nelayev V. V., Krasikov M. G.
Simulation of the silicon powerful vertical n-channel DMOS transistor. pp. 93--97

Summary: Results of the powerful vertical n-channel DMOS transistor physical technology simulation confirmed by experimental data are presented. Recommendations about the technology flow content and process parameters are formulated for the manufacturing of the investigated transistor with specified electric features.

Vitiaz P. A., Gordienko A. I., Mrochek G. A., Kheifetz M. L., Golubev O. P.
Multifractional analysis of multicomponent plasma-vacuum coatings. pp. 98--100

Summary: The analysis of the multifractal information on shaping multicomponent coatings at the ionic settling-down in vacuum is presented.

Chorny A. D., Zhdanov V. L.
Comparison of two mixing regimes of passive admixture in a coaxial jet mixer. pp. 101--105

Summary: Experimental results on turbulent mixing of passive admixture in an axis-symmetrical jet mixer operating in two mixing regimes with and without a recirculation zone near the mixer walls are compared. The distributions of averaged and rms fluctuations as well as of skewness and flatness of the probability density function (PDF) of mixture fraction at different distances from the mixer nozzle are analyzed. It is shown that there is an essential difference in a mixing rate because backflow exists near the mixer walls: uniform distribution of passive admixture concentration over the mixer cross section is attained just behind the decay boundary of the recirculation zone -- at a distance much smaller than that in the mixing regime without such a zone. It is indicative of the fact that for the both mixing regimes, the analytical representation of the PDF in the form of the b-distribution is valid for the experimental PDF varying along the mixer axis. The proposed approximation describes with fair accuracy the skewness distribution over the mixer cross section and can be used for constructing mathematical models of turbulent mixing.

Vysotski M. S., Doubovik D. A.
Active safety of ground vehicles through regulating tractive forces of wheels. pp. 106--112

Summary: A method for regulation of tractive forces of driving wheels for providing the best steerability of ground vehicles is developed. Investigation results on realization of the offered method by the example of regulation of tractive forces of vehicle wheels with the wheel formula 8Ч8 with two forward steering axles and mass-geometrical parameters close to the parameters of the off-road vehicle MZKT-79091 while modeling the maneuver "lane change" are given in the article.

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EARTH SCIENCES

Astapenko V. N.
Astenosphere of Belarus by magnetotelluric data. pp. 113--116

Summary: The article presents the data on the analysis of the nature of electrical conductivity of the upper mantle of Belarus. The astenosphere is associated with the three-segment junction zone of East European Craton. Anomalies of physical properties of amphibole may be a reason for high conductivity of the upper mantle.

Komarovsky M. E., Komarovskaya O. A.
Morphogenetic classification of glacial incisions of the Belarusian Poozerie area. pp. 117--122

Summary: A morphogenetic classification of northern Belarus glacial incisions is suggested. It includes ten main genetic groups and twenty morphogenetic types and forms with respect to their major process of formation and morphology.

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AGRICULTURE

Borisevich M. N.
Selection of cows into a breeding group of herd through the selection index. pp. 123--124

Summary: The calculation algorithm of a selection index size, being a parameter of breeding and a productive value of animal, based on a simultaneous account of several parameters, is presented.

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