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Doklady of the National Academy of Sciences of Belarus, 2006, Vol.50, No.4

Homepage / Publications / Scientific Journals

Doklady of the National Academy of Sciences of Belarus, 2006, Vol.50, 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

Volume 50, Number 4; July-August, 2006

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CONTENTS


MATHEMATICS

Kilbas A. A., Titioura A. A.
Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. pp. 5--10

Summary: Hadamard-type fractional integrals and derivatives on the half-axis are investigated in weighted spaces of p-summable functions. Integral representations for the Marchaud-Hadamard-type fractional derivatives are established. Conditions for inversion of the Hadamard-type fractional integrals are given. Relationships between the ordinary and truncated Marchaud-Hadamard-type fractional derivatives are proved.

Prokopchuk A. V., Yanchevskii V. I.
Relative Brauer groups of the rational function fields of certain genus one curves over the 2-dyadic field. pp. 11--15

Summary: Relative Brauer groups of series of genus one curves over the 2-dyadic field are described.

Demenchuk A. K.
Strongly irregular solutions of linear differential systems with small periodic perturbations. pp. 16--19

Summary: The sufficient existence and stability conditions for periodic irregular solutions are given for ordinary differential systems with a nontrivial mean value of small periodic perturbations.

Ballester-Bolinches A., Calvo C., Shemetkov L. A.
Partially saturated formations of finite groups. pp. 20--22

Summary: It is obtained in this article that each X-local formation, where X is a class of simple groups, contains the largest P-saturated formation for P = Char X. A theorem on a decomposition of FG-modules is established. Proofs are not given.

Monakhov V. S., Hodanovich D. A.
Influence of indices of maximal subgroups on the nilpotent length of soluble groups. pp. 23--28

Summary: Estimation is made of a nilpotent length of a finite soluble group with bounded primary indices of non-metanilpotent maximal subgroups, not containing the Fitting subgroup.

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PHYSICS

Sotsky A. B., Khomchenko A. V.
Calculation of autooscillations in the scheme of prism excitation of a nonlinear optical waveguide. pp. 29--33

Summary: A theoretical model of the autooscillation effect in the case of prism coupling of continuous laser radiation into a thin-film optical waveguide is proposed. This effect is shown to be a result of a combination of the Kerr--like and thermal nonlinearities.

Kuzmitsky V. A.
Solution algorithm of the inverse problem for a vibronic interaction matrix at resonance conditions. pp. 34--39

Summary: A non-iterative solution of the problem of determination of nonperturbed energy levels ai and matrix elements of the non-adiabatic interaction bi, which describe the complex vibronic analogue of the Fermi resonance, is presented. The algorithm utilizes the methods of the algebraic eigenvalue problem for real matrices of given structure; its elements are constructed from the energy ek and the intensity Ik of the observable transitions.

Chernyshev A. V.
Modeling of reversible processes of magnetization of ferromagnets. pp. 40--45

Summary: Modeling of reversible processes of magnetization of ferromagnets and formation of an effective magnetic field are considered using the Jiles-Atherton model of the hysteresis loop. The conditions, under which the dependence of a reversible component of magnetization on the effective magnetic field is thermodynamically reversible, are determined. The correspondence of the reversible component of magnetization defined in the Jiles-Atherton model to the thermodynamic reversibility concept is considered. The experimental results are compared with those following from the Jiles-Atherton model.

Zhestkov S. V., Romanenko A. A.
Propagation of two-dimensional solitons in optical branches with the Kerr nonlinearity. pp. 46--49

Summary: The process of propagation of two-dimensional solitons in optical branches is investigated. The results of numerical modeling are represented in the form of graphs. The asymptotics of solitons at infinity is obtained in explicit form.

Svirina L. P.
Spontaneous phase symmetry breaking for periodical oscillations in a four-frequency ring gas laser. pp. 50--55

Summary: It is shown that in a four-frequency anisotropic-cavity ring gas laser, spontaneous phase symmetry breaking for periodical oscillations depending on the value of the backscattering coefficient can be accompanied by both deterministic and noise-induced chaos. The appropriate conditions for experimental observation of this effect have been determined.

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CHEMISTRY

Adrianov А. М., Veresov V.G.
3D structure of the HIV- 1gP 120 V3 loop (analysis of the HIV-MN and HIV-HAITI viral strains). pp. 56--61

Summary: 3D structures of the HIV-1 gp120 V3 loop from the HIV-Haiti and HIV-MN viral strains were built by computer modeling methods in terms of NMR spectroscopy data published in literature. In either case, the secondary structure elements and conformations of irregular stretches were determined for a fragment giving rise to the virus principal neutralizing deterrninant as well as determinants of cell tropism and syncytium formation. Despite the high variability of gpl20 amino acid sequence, over 50% of residues were demonstrated to preserve their conformations in diverse HIV-1 isolates. The V3 loop structurally conservative amino acids, presenting the promising targets for antiviral drug design by protein engineering methods, were identified using the joint analysis of the obtained results and the literature data on the biological activity of its individual residues.

Lando D. Y., Fridman A. S., Haroutiunian S. G., Vardanyan V. I.
Study of distributions of adsorbed ligands along the DNA double helix. pp. 62--67

Summary: The distribution of reversibly bound ligands along the DNA chain is studied for non-cooperative binding and contact co-operativity. It is shown that, for non-cooperative binding (there is no ligand-ligand interaction), a distance of zero binding centers (i = 0) between bound ligands is the most probable and the probability monotonously decreases with i. The decrease with i is very rapid for high ligand concentration. For low concentration, the decrease is very slow and the fractions of distances between neighboring bound ligands of i binding centers [fd(i)] are almost the same for 0 £ i < 0.3c-1, and fd(i) » c in this interval, where c is the number of bound ligands per polymer unit (base pair). For higher i, function fd(i) rapidly decreases with i. For contact ligand-ligand interaction, the same slow decrease occurs for 1 £ i < 0.3c-1, and fd(0) » cao where ao is the factor of contact ligand-ligand interaction. Asymmetry in influence of contact cooperativity (ao> 1) and anti-cooperativity (ao< 1) on ligand distribution along the DNA chain is demonstrated and explained.

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BIOLOGY

Birichevskaya L. L., Eroshevskaya L. A., Kisel M. A., Zinchenko A. I.
Use of phospholipase D of a new microbial strain-producer for synthesis of phospholipid derivatives of modified nucleosides. pp. 68--71

Summary: In the present study, the substrate specificity of phospholipase D (PLD) produced by a new strain of Streptomyces netropsis has been investigated for the first time. It is shown that all examined nucleosides, which possess a free 5'-hydroxyl group, serve as substrates of the PLD in the reaction of synthesis of phospholipid derivatives of natural and modified nucleosides. Phospholipids with a fatty acid residue length like that of natural lecithin are the best donors of phosphatidyl residue. The obtained data on the influence of the substrate structure upon the enzyme activity testify that the PLD studied can be used for biotechnological production of a wide range of natural and modified nucleosides, including those of pharmaceutical importance.

Bazhanov D. P., Yatsevich K. K.
Inheritance of simazine degradation genes by plasmid pSa. pp. 72--75

Summary: Plasmid pSa was found to transfer coherently the genes for simazine degradation (smzA, -B, -C) of the rhizosphere bacterium Herbas-pirillum sp. B601 by forming hybrid pSa-Smz plasmids. Independent migration of smz genes into various locations in genome took place during the growth of transconjugants in the medium selective for the plasmid pSa and simazine utilization, indicating the genes were the parts of a "catabolic island" which could be unstable under certain conditions.

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MEDICINE

Soltanov V. V., Sergeyev V. A., Sysoyeva I. V.
Modulation of skeletal muscule excitability by high-intensity magnetic fields. pp. 76--80

Summary: It was found that percutaneous high-intensity magnetic stimulation of m. sartorius in rabbits was accompanied by modification of the spontaneous electrical activity of this muscle towards its increase, when stimulated with 1.1 and 1.4 Tl, and, on the contrary, by inhibition with a subsequent enhancement of the activity, when stimulated with 1.6 Tl.

Belugin S. N., Mifflin S. V.
GABA-A receptor dependent response at cAMP dialysis in NTS neurons of hypertensive rats. pp. 81--84

Summary: We studied the effects of cAMP on GABA-A receptor dependent response in neurons dissociated from NTS of normoten-sive (NT) and hypertensive (HT) rats. GABA induced currents, obtained using the whole-cell patch clamp of NTS neurons from both NT and HT rats, displayed an increased rate of current deactivation after GABA removal at cAMP dialysis. Increasing extension of desensitization and amplitude of GABA-induced currents were observed only in cAMP dialysed neurons of NTS from NT rats. These data demonstrate that differently modulated GABAA receptor currents in NT and HT NTS neurons could suggest a different basal level of cAMP-dependent phosphorylation in GABA-A receptors.

Kratenok B. V.
Influence of lysil-glutamate on the humoral immune response. pp. 85--89

Summary: The influence of multiple introductions of lysil-glutamate on the humoral immune response was studied by determination of the production of antibody-forming cells in spleens of linear mice CBA after the immunization with sheep erythrocytes. The substance represents as dipeptide of residues of amino acids lysine and glutamate, simulating the main properties of thymus hormones. The well-expressed immunostimulating effect of lysil-glutamate was revealed in doses of 10--1000 mcg/kg.

Sidorovich R. R., Smeyanovich A. F.
Results of surgery for traumatic Brachial Plexus injuries by extraplexal nerve transfer. pp. 90--95

Summary: The article reviews the results of extraplexal nerve transfer surgery in 32 patients with traumatic Brachial Plexus injuries. The results show that this method of surgery is efficient enough for injuries with spinal cord root avulsions, as well as when the extensive damage to Brachial plexus trunks and nerves is present. Functionally positive results have been obtained in 21 patients (65.6%), of whon 8 (25.0%) had good, and 13 (40.6) - satisfactory functionally significant results. A satisfactory functionally insignificant result has been obtained in 5 patients (15.6%) and negative one -- in 6 (18.8%) patients. The choice of BP structures to perform nerve transfer and donor nerves was determined by the specific nature and extent of the injury. Extraplexal nerve transfer surgery was more effective when performed up to 9 months after injury.

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TECHNICAL SCIENCES

Klubovich V. V., Machiho D. V., Sakevich B. N.
Research of the attraction regions of steady-state regimes in the vibration impact ultrasonic system. pp. 96--99

Summary: In the article, the attraction regions of possible steady-state regimes are constructed by the point mapping method. The topology of these regions with changes of the parameters is investigated.

Serenkov P. S., Romanchack V. M., Solomakho V. L.
System of acquisition of quality data as a technical basis of effective quality management system functioning. pp. 100--104

Summary: Methodology for modeling a system of quality data acquisition and analysis was developed on the basis of the functional model of processes network of a quality management system, including principles, classification of objectives, data sources structure, acquisition and analysis methods using the module approach,. The possibility of information modeling of quantitative effectiveness indices for processes and products using universal analytical models of data approximation by superposition of wavelets in the form of delta-shaped functions was proved.

Baravikous S. M., Emelyanov A. V., Khmyl A. A., Berasnevich A. I.
Method of forecasting the reliability of electronic devices. pp. 105--109

Summary: The method of forecasting the reliability of electronic devices by informative parameters is suggested. A specific feature of the method lies in the fact that the informative parameter values obtained in measuring at the initial time moment are transformed into binary signals (0 or 1) and the decision on the device class -from the point of view of its reliability for given moment of interest -- is taken on the basis of a set of binary signals.

Djejora A. A., Rubanik V. V.
Mirror-balanced instrument capacitors. pp. 110--114

Summary: The article covers the functional possibilities of mirror-balanced structures of superposed instrument capacitors. The calculation errors of capacitance caused by the electrode size deviation are examined. The possibility of utilizing mirror-balanced structures of superposed instrument capacitors for determining the working and stray capacitance and the monitoring zone depth is shown.

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EARTH SCIENCES

Aksamentova N. V.
Age and formation belonging of the Okolovo series of the crystalline basement of Belarus. pp. 115--118

Summary: The material composition of the Okolovo series and its comparison with iron-siliceous formations of the Early Precambrian from the East European Craton were used to make a conclusion about its similarity with iron-ore formations of the Upper Archean (Lopian, Meso--Neoarchean) and complete dissimilarity from Lower Proterozoic (Paleoproterozoic) strata, which is in favour of the Archean age of the Okolovo series.

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SOCIAL SCIENCES AND HUMANITIES

Rahimau A. N.
Reasons of migration and peculiarities of adoption of ethnic groups of the peoples of Caucasus into the republic of belarus. pp. 119--124

Summary: The material composition of the Okolovo series and its comparison with iron-siliceous formations of the Early Precambrian from the East European Craton were used to make a conclusion about its similarity with iron-ore formations of the Upper Archean (Lopian, Meso--Neoarchean) and complete dissimilarity from Lower Proterozoic (Paleoproterozoic) strata, which is in favour of the Archean age of the Okolovo series.

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Copyright © 2006 The National Academy of Sciences of Belarus
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