Mathematics

Member of the Academy L.Zhizhiashvili

On Integral Properties of Multidimensional Hilbert Operators (Dedicated to D.E.Menshov's 110-th birthday)

Presented April 30, 2002

Key words: multidimensional Hilbert operator.

Mathematics

J. Sanikidze, L. Zivzivadze

 

On Numerical Solution of some Conformal Mapping Problems by Boundary Integral Equations Method

Presented by Member of the Academy N. Vakhania, October 5, 2002

Abstract. The question of numerical conformal mapping by approximation of the singular integral is considered. On this basis one of the concrete schemes is presented. The convergence of the given scheme is established.

Key words: conformal mapping, quadrature formula, singular integral, Cauchy type integral, numerical solution.

Mathematics

V. Baladze

Alexander-Spanier Uniform Cohomology Theory

Presented by Corr. Member of the Academy N. Berikashvili, November 13, 2001

Abstract. In this article we construct an Alexander-Spanier uniform cohomology functor from the category of pairs of uniform spaces to the category of Abelian groups. This functor satisfies the Steenrod-Eilenberg's type axioms, is uniform shape invariant and describes the Alexander-Spanier cohomology groups of compactifications of given space.

Key words: uniform space, Alexander-Spanier cohomology theory, uniform shape.

Mathematics

G. Oniani

On A₁-Weights for Maximal Operators Corresponding to
Translation Invariant Bases Formed of Intervals

Presented by Member of the Academy L.Zhizhiashvili, April 1,2002.

Abstract. In the present paper there are characterized translation invariant bases formed of n-dimentional intervals for which there is true an analog of one theorem of Coifman and Rochberg about A₁-weights.

Key words: maximal operators, weights.

Mathematics I. Skhirtladze, N. Skhirtladze Some Properties of Kotelnikov's Series Presented by Member of the Academy L. Zhizhiashvili, April 17, 2002 Abstract. In this article Kotelnikov's series of convergency types and some analytical properties have been studied. In the case of monotonous coefficients the presence of the functions by means of Kotelnokov's series has been received. Key words: monotonous convergence, local even convergence.   Mathematics L. Turmanidze On Uniform Shape Invariant and Continuous Functors Presented by Corr. Member of the Academy D. Baladze, March 19, 2002 Abstract. In this paper Čech's type covariant (contravariant) functors which are uniform shape invariant and continuous extensions of covariant (contravariant) functors, defined on the category of pairs of ANRU-spaces, are constructed. Key words: Uniform spaces, ANRU-spaces, semiuniform homotopy, uniform shape, uniform shape invariant functors. Mathematics A. Beridze On Alexander-Spanier's type cohomology groups Presented by Corr. Member of the Academy D. Baladze, February 26, 2002 Abstract. In this paper Alexander-Spanier's type cohomology groups, based on all finitely locally zero functions from q+1-fold product of topological space to abelian group, are defined. These groups satisfy Steenrod-Eilenberg's type axioms and are isomorphic to the Čech's cohomology groups based on all finite open coverings. Besides, they intrinsically describe the classical Alexander-Spanier cohomology groups of Stone-Čech compactifications of pairs consisting of normal spaces and their closed subspaces. Key words: Alexander-Spanier cohomology, Čech cohomology, Steenrod-Eilenberg`s axioms, Stone-Čech compactification.   Mathematics N. Topuridze On the Roots of Octonionic Equations Presented by Member of the Academy N.Berikashvili, September 5, 2002 Abstract. Polynomials with coefficients from the algebra of octonions are considered. For such polynomials a version of the fundamental theorem of algebra is proved. If all the coefficients are real then a precise description of the zero-set is given. Key words: octonions, alternative algebra, proper mapping, centralizer.

Mathematics E. Kapanadze, G.E.Tkebuchava Wavelet Bases Properties in some Rearrangement Invariant Function Spaces Presented by Member of the Academy L. Zhizhiashvili, April 16, 2002 Abstract. We show that the well-known characterization of X(R) separable rearrangement invariant Banach function space with nontrivial Boyd's indices in terms of regular orthogonal wavelet bases extends to any wavelet under some integral condition. We also prove that for the wavelets and f Î X(R) functions the wavelet projection, hard sampling and soft sampling operators converge pointwise almost everywhere to f. Key words: unconditional basis, rearrangement spaces, wavelets, hard sampling, soft sampling operators.   Mathematics O. Glonti, L. Jamburia, Z. Khechinashvili The Minimal j-divergence Distance Martingale Measure for the Trinomial Scheme Presented by Corr. Member of the Academy E.Nadaraya, April 30, 2002 Abstract. In this paper we construct the martingale measure which minimizes j-divergence distance defined by convex function j. Relative entropy and reverse relative entropy cases are considered as particular examples. Key words: trinomial scheme, martingale measure, j-divergence distance, relative entropy.   Theory of Elasticity Sh. Mzhavanadze The Inverse Problem of the Plane Theory of Elasticity for an Infinite Plane Weakened by Symmetrical Holes Presented by Corr. Member of the Academy R. Bantsuri, April 2, 2002 Abstract. On an elastic, isotropic, homogeneous plane we consider the problem of finding holes with uniformly distributed rigidity on the boundaries, when at infinity acts a homogeneous field of constant stress and the boundary of the hole has normal stress. Using the methods of the theory of functions of a complex variable, the problem is reduced to the boundary value problem of the theory of analytic functions, when the plane is cut along straight line segments. In conditions of symmetry the exact solution of the problem is obtained. Key words: Uniformly distributed rigidity, conformal mapping.   Theory of Elasticity G. Zhorzholiani On One Inverse Problem for an Orthotropic Plane Presented by the Corr. Member of the Academy R. Bantsuri, May 21, 2002 Abstract. The problem of tension of an infinite orthotropic body having a hole with an unknown boundary is considered. It is required to find strained state of the body and the hole such that the tangential constituent stress takes on its boundary the constant value. The problem is reduced to the singular integral equation. It is proved that the elliptic hole satisfies the sonditions of the problem posed. Key words: stress, elasticity, orthotropic, contour, hole, equation, ellipse.

Theory of Elasticity D. Gordeziani, M. Avalishvili, G. Avalishvili On One Method of Construction of Mathematical Models of Multistructures Presented by Corr. Member of the Academy R. Bantsuri, March 5, 2002 Abstract. In the present paper the method of constructing a mathematical model of multistructure on the basis of the hierarchic models of its parts is proposed. The theorem of existence and uniqueness of the solution of the boundary value problem corresponding to the constructed model is formulated. The difference between exact solution of the original three-dimensional problem and solution of the problem corresponding to the model is estimated. Key words: elastic multistructures, Fourier series. Physics F. Akopov The Influence of Laser Irradiation on some Properties of Amorphous Alloy Fe-B Presented by Member of the Academy G. Kharadze, March 19, 2002 Abstract. The subject of the investigation is the influence of pulse laser irradiation on the physical properties of amorphous alloy Fe-B. Changes in the electrical resistance, microhardness and magnetic induction are connected with the free volume relaxation accompanied by the packing of the amorphous matrix. Key words: laser irradiation, amorphous alloy, electrical resistance, hysteresis loops. Physics I. Metskhvarishvili, R. Metskhvarishvili, Z. Miminoshvili, Z. Mikava, L. Bodokia, V. Gachechiladze, M. Elizbarashvili, N. Marchilashvili, L. Nekrasova, N. Khazaradze, L. Khorbaladze Investigation of the Multipolarity of 169Tm 93.61 keV g-transition Presented by Member of the Academy T. Sanadze, June 21, 2002 Abstract. The conversion spectrum of 169Tm 93.61 keV g-transition was measured by magnetic beta spectrometer with 0.04% high resolution. Forms of L1, L2, L3 lines are studied and relative amounts of their broadenings are measured. Mean quantity of d2 from the established internal conversion coefficients are calculated d2=0.034±0.003. Average significance of the share of electric quadruple admixture a=(3.3±0.3)% are found, which corresponds to M1+3.3%E2 mixed g-transition. Key words: Magnetic beta-spectrometer, internal conversion coefficients, g-transition, multipole. Physics D. Garibashvili, G. Kakhidze, M. Shengelia Modelling of Protons' Share in the Primary Cosmic Ray Flux Presented by Member of the Academy N. Amaglobeli, September 2, 2002 Abstract. The distribution of inelastic interaction points of protons and a-particles in the Ionization Calorimeter absorber is determined by the Monte-Carlo modelling method. The interaction mean free path is defined by the Maximum Likelihood Method. The dependence of the interaction mean free path on a percentage of protons in a flux of particles with a charge Z £ 2 is received.

Key words: ionization calorimeter, cosmic rays, mean free path, maximum likelihood method. Physics J. Mebonia, K. Sulakadze Investigation of p-He3 Elastic Scattering Presented by Corr. Member of the Academy Khelashvili, July 9, 2002 Abstract. Elastic scattering of proton on the nucleus He3 in wide energetic interval (100-500 MeV) is investigated on the basis of three-particle impulse approximation with cut off (TIAC). Comparison of theoretical results with experimental data shows that TIAC on the whole reflects the properties of behavior of the corresponding differential cross-sections. Key words: scattering, cut off, unitarity. Physics M.Maziashvili On the Gauge Fixing Condition in False Vacuum Decay with Gravity Presented by Corr.Member of the Academy A.Khelashvili, June 10, 2002 Abstract. There are different schemes of reduction of the perturbations' quadratic Lagrangian of scalar field minimally coupled with gravity, giving the different results to the negative mode problem for cosmological instantons. We consider Lagrangian reduction for O(4) symmetric perturbations about the instanton from a rather general point of view. Key words: perturbations' quadratic action, Lagrangian reduction, gauge fixing. Astronomy R. Natsvlishvili On the Evolutionary Phases of the Universe Presented by Member of the Academy J. Lominadze, December 30, 2001 Abstract. Some observational aspects of the evolutionary phases of the Universe are considered. The analysis of the observational data on large-scale objects led us to speculate that the formation of more dense features resulting from rare medium occurred at none of the evolutionary stages of the Universe. It is analyzed that for a definite moment of the Universe evolution the estimation of the Hubble constant value, due to the variation of it in the course of time, is problematic. Physical effects which can be revealed in future during observation of the most remote quasars are discussed. Key words: big bang, universe, Hubble constant, metagalaxy, quasars, galaxies. Geophysics T. Toroshelidze, S. Chilingarashvili Study of the Wave Processes in the Mesopause by Observation of the 558 nm Emission Presented by Corr. Member of the Academy R.Kiladze, March 7, 2002

Abstract. Variations of the intensity of the night airglow oxygen emission at 558 nm have been studied by the method of maximum entropy. The observational material was obtained during 70 nights in 1987-1991 at the Abastumani astrophysical observatory. The main directions propagating internal gravitation waves, the power of wave oscillations for different periods and their seasonal variation have been determined. The dependence of the amplitude of wave oscillations on geomagnetic activity, separately for long and short periods, has also been investigated. Key words: 558 nm emission of night airglow, internal gravitation waves, statistics of oscillations. Geophysics Corr. Member of the Academy G. Shengelaia, K. Danelia, K. Zardiashvili, A. Khunjua, T. Khunjua On Possible Precursor of the Tbilisi Earthquake on April 25, 2002 Presented July 23, 2002 Abstract. Radon content in soil at the existing and assumed faults is given in relative units in the forms of graphs for Tbilisi and its vicinities. Four of five points showed considerable increase in underground radon concentration in relation with the April earthquake. Key words: radon. nuclear photo-emulsion, a-radiation. Analytical Chemistry N. Labartkava, N. Loria, G. Supatashvili Simultaneous Determination of Arsenic and Antimony in Natural and Sewage Waters Presented by Member of the Academy G. Tsintsadze, July 30, 2002. Abstract. Photometric method which implies the use of silver diethyldithiocarbamate (AgDDTC) in the presence of different amount of stannic (II) chloride has been elaborated for the simultaneous determination of arsenic and antimony. Tests made on the model solutions have shown that the mean relative standard deviation makes 0.025-0.037. Using the elaborated method arsenic and antimony have been determined in natural and sewage waters of the zone of mining and processing of arsenic sulphide ores. Key words: arsenic, antimony, photometric method, diethyldithocarbamate.   Physical Chemistry N. Niniashvili, M. Kekenadze Z. Dzotsenidze, R. Gigauri, G. Bezarashvili Kinetics of Triheptylarsenite Formation Presented by Member of the Academy K. Japaridze, July 17, 2002 Abstract. The present work is devoted to the investigation of arsenic (III) oxide and heptanol-l interaction by means of kinetic experiment realization. Numerical values of the kinetic order and activation energy of the reaction have been established. Differential equation describing the variation of fractional conversion of arsenic oxide with time when the chemical reaction occurs has been put down. Key words: kinetic experiment, kinetic equation, arsenic oxide, triheptylarsenite.   Physical Chemistry Member of the Academy T. Andronikashvili, T. Butkhuzi, M. Sharvashidze,

L. Aptsiauri, L. Trapaidze Optical Investigation of Implanted ZnO Samples with Ar+ and S+ Ions Presented April 23, 2002 Abstract. We have used the method of implantation with Ar+ and S+ ions for stimulation of low temperature diffusion in ZnO binary compound. In photoluminescence spectra of high-resistance (r»1010 to 1011 Wcm) samples obtained by implantation of S+ and by heat treatment at 300 - 350°C in O2, l=369 nm; l=390 nm l=440 nm; l=460 nm and l=505 nm peaks were observed. In photoconductivity spectrum of ZnO five maximums E=3.21 eV; E=2.72 eV; E=2.45 eV, E=0.97 eV and E=0.7 eV were registered. In our opinion, these peaks correspond to the existence of So- So defect bound exciton; (VZn'-Vo·· ); Vo··; AX+ center; VZn' and Vo·, respectively. Key words: implantation, photoluminescence, photoconductivity.   Electrochemistry R. Kvaratskhelia, E. Kvaratskhelia Electrochemical Behavior of Trichloroacetic Acid at the Solid Electrodes Presented by Member of the Academy J.Japaridze, March 22, 2002 Abstract. Voltammetry of trichloroacetic acid at the electrodes from Cu, Cd, Ta, Cu-Hg and alloys of Cd with Cu, Sn, Ni, In, Hg and Ag in aqueous solutions has been studied. The appreciable role of electrode nature and composition of solution in the process of electrochemical dechlorination of CCl3COOH has been shown and discussed. Key words: trichloroacetic acid, voltammetry, electrode, alloy, wave, potential, dechlorination.   Physical Geography Corr. Member of the Academy Z. Tatashidze, J. Jishkariani, K. Tsikarishvili, A. Jamrishvili, V. Kapanadze, T. Kobulashvili, G. Geladze Tskaltubo Cave System - the Largest Karst Cavity in the Imereti Region Presented April 16, 2002 Abstract. The total investigated length of Tskaltubo cave system was 15.5 km by January, 2002. The cave took shape in the Lower Cretaceous limestones in completely saturated hydrodynamic zone and is a near surface type karst cave. Now it is under breakdown condition. Key words: cave system, completely saturated zone, siphon fault.   Physical Geography N. Elizbarashvili, Z. Davitashvili, M. Ratiani Main Issues of Geoecological Planning of Landscapes Presented by Member of the Academy L. Tatashidze, March 7, 2002 Abstract. The goal of our article was to show the privilege of the landscape-ecological approach in the planning of landscapes. It was found that the determination and forecasting of socio-economic functions of landscapes are necessary for planning, monitoring, land-use, forest-use and projecting, rational determination of the regional politics of the state and architecture of the landscapes. The importance of the landscapes planning in case of development of forest and agricultural economy and creation of a single net of protected territories is discussed. Key words: geoecological planning, landscape geographical synthesis.

Hydrology Member of the Academy Ts. Mirtskhoulava Prediction of the Development (Progression) of Gullies Presented September 19, 2002 Abstract. A methodology is presented for the quantitative estimation and prediction of the development (progression) of gullies. Use is made of the author's earlier results and the theory of Markov process, viz the Ito and Fokker-Planck-Kolmogorov stochastic kinetic equations. Keywords: gully, prediction, erosion, reliability. Hydrology L. Kitiashvili On Calculation of Average Annual Expenditures of Solid Suspended Load (on the example of Ajara Region) Presented by Corr. Member of the Academy Z.Tatashidze, April 20, 2002 Abstract. The analysis of liquid and solid suspended load rates has been performed. Concrete calculation formula has been derived on the basis of which the expenditure of annual suspended load for the whole territory of Ajara is established that makes 630000 tons per year. Key words: solid suspended load. Technology of Materials T. Abzianidze, V. Gverdtsiteli, G. Karumidze, L. Kekelidze, Ya. Tabatadze To the Problem of Creation of High Temperature Thermoelectric Generator Presented by Corr. Member of the Academy I.Baratashvili, October 29, 2002 Abstract. Possibility of creation of high temperature thermoelectric effective generator based on 11B4C "p" and Si0.70Ge0.30 "n" types is considered in the article. Operating temperature of generator is ³ 1000K; mechanical, chemical and radiation resistance is much higher than that of the known thermoelectric materials. Key words: thermoelectric material, Boron carbide, isotope B-11, high temperature.   Petrology A. Okrostsvaridze, B. D. Clarke, P. N. Reinolds, D. Bluashvili New Data about the Genesis and Izotopic Age of the Dzirula Salient Ricotites (Orthoclase Gabbro) of the Inner Caucasian Massif Presented by Corr. Member of the Academy D.Shengelia, April 23, 2002 Abstract. Sm-Nd, Rb-Sr and K-Ar isotopic systems and age of the Dzirula Salient orthoclase gabbro (Ricotite) of the Inner Caucasian Massif have been studied. It is ascertained, that magma source of the intrusive was non-deplete mantle reservoir [SNd =+0,05870; ISr=0,70520], which during the Late Triassic [Rb-Sr=211±11Ma; K-Ar(Hrb)=219±4 Ma; K-Ar(Bi)=217±3Ma.] intruded into pre-Cambrian gneiss quartz-diorites, which ought to be related to cimmerian tectonic-magmatic activity. Key words: ricotite, gabbro, mantle, izotopic age.

Botany G. Gvaladze, N. Nadirashvili, M. Akhalkatsi Chromatin Diminution during Endosperm Development in Allium atroviolaceum Boiss. (Alliaceae) Presented by Corr. Member of the Academy G. Nakhutsrishvili, April 23, 2002 Abstract. The chromatin diminution phenomenon during endosperm formation in Allium atroviolaceum was confirmed by cytophotometric method. Triploid endosperm nuclei, originated by the triple fusion, lose heavily condensed chromosome set beginning with the 8-nucleate stage. This chromosome set is arisen by pycnotic chalazal polar nucleus participating in the triple fusion. As a result, endosperm nuclei at a cellular stage possess only diploid genome. In spite of this fact, the functioning of endosperm of the investigated plant species proceeds normally. Key words: endosperm, DNA, diminition, Allium.   Plant Physiology Sh. Chanishvili, G. Badridze Influence of Additional Ultraviolet Radiation on Photosynthetic Activity of Grapevine, Soybean and Maize Presented by Member of the Academy N. Nutsubidze, April 16, 2002 Abstract. The effect of high doses (13×103-117×103Jm -2) of additional ultraviolet radiation (UV) on photosynthetic activity and stomatal conductance of grapevine (Vitis vinifera L.), soybean (Glycine hyspida Max.) and maize (Zea mays L.) discs has been studied. Discs were illuminated with the full spectrum of UV by means of the balb DPT for 10, 20, 30, or 45min. Photofilm and glass were used as filters for delaying UV-C and UV-B. It was revealed that photosynthetic apparatus is high sensitive to UV-C, while the inhibitory effect of UV-B wasn't evident, that may be the result of photoreactivation caused by UV-A and PhAR. This effect was more expressed in herbaceous plants and especially in C4 plant (maize). The stomatal conductance of studied plants wasn't directly connected with photosynthetic activity of discs. Key words: photosynthesis, stomatal conductance, ultraviolet radiation, grapevine, soybean, maize.   Plant Physiology K.Chkartishvili, O.Kalina, M.Zarkua, G.Aleksidze Influence of Some Stress Factors on Growth, Development and Lectin Activity of Kalanchoe daigremontiana Plantlets Presented by Corr.Member of the Academy N.Aleksidse, April 17, 2002 Abstract. Influence of some stress factors on growth, development and lectin activity of Kalanchoe daigremontiana plantlets have been studied. All kinds of investigated stress (salinity, water deficit, darkness, low and high temperature) inhibit plantlets growth and change their normal development, but increase the lectin activity. We suggest that lectins of kalanchoe take part in the perception of the stress environmental signals. Key words: kalanchoe, plantlets, stress, lectin activity.   Human and Animal Physiology G. Todua Responses of Basal Amygdaloid Nucleus Neurons to Stimulation of the Ventral

Amygdalofugal Tract Presented by Member of the Academy T.Oniani, September 25, 2001 Abstract. Extracellular recordings from the basal nucleus (BN) of the amygdaloid complex were performed in experiments on anesthetized cats during electrical stimulation of the ventral amygdalofugal tract. Three main types of responses were observed: antidromic activation, synaptic activation and inhibition. The characteristics of antidromic spikes are: stable latency, the ability to follow high frequency stimulation, fractination of the evoked potential and the collision with a spontaneous spike. 50 units (39.3%) responded transsynaptically, as judged from fluctuation in latency and failure in response to high frequency stimulation. Most of these units responded with di- and polysynaptic reaction. The results are discussed in connection with neuromorphological data. Key words: antidromic response, latency, orthodromic response, monosynaptic connection.   Human and Animal Physiology K. Chichinadze, L. Gachechiladze Motor Correlates of Dominant and Submissive Behavior and their Neuromediatory Foundations Presented by Member of the Academy N. Javakhishvili, May 28, 2002 Abstract. Our investigations show that high level of noradrenaline in hypothalamus of mice causes aggressive behavior with high motor activity, and high level of serotonin _ submissive behavior and low motor activity. Key words: dominants, aggressive behavior, motor activity.   Human and Animal Physiology E. Aghdgomelashvili, M. Chkhikvishvili, G. Iashvili, V. Maloletnev Dynamics of Cardiorespiratory System Capacity Changes Depending on Age and Types of Cycling Presented by Member of the Academy T.Oniani, June 12, 2002 Abstract. The comparison of age dynamics of aerobic and anaerobic capacity parameters of cardiorespiratory system (CRS) functioning has been evaluated in youth involved in cycling (sprinters, stayers) sports. It has been established that the capacity of the CRS aerobic productivity greatly depends on genetic predisposition and may be formed at early stage as compared to that of anaerobic mechanisms. The results obtained do not confirm commonly used opinions about the range of increasing oxygen consumption under training effects. Key words: cardiorespiratory system, aerobic and anaerobic capacity, sprinters, stayers. Biochemistry Sh. Abashidze, T. Jariashvili, Z. Kometiani Influence of the Social Isolation on the Action Mechanism of Neurotransmitters on Na, K-ATPase system Presented by Member of the Academy T. Oniani, January 21, 2002 Abstract. By studying and comparing the action of noradrenaline (NA) and Dopamine (DA) on Na, K-ATPase activity taken apart and together with SFa of the brain synaptic membranes obtained from the rats living in socially normal habitat and in conditions of social isolation. It was found that, there is a difference in NT-dependent inhibition and NT-dependent SFa-induced activation mechanisms in two different conditions. An alteration of Na, K-ATPase regulatory mechanisms points at functional importance of this regulation, which in its turn should be concerned with the synaptic transmission processes.

Key words: neurotransmitters (NT), noradrenaline (NA), dopamine (DA), synaptosomal factor (SFa), social isolation (SI). Biochemistry Z. Kometiani, G. Chkadua Determining a Number of Sites of Partial Effect Modifiers by the Analysis of Geometrical Shape of a Curve Presented by Member of Academy G.Kvesitadze, March 19, 2002 Abstract. The principle of Minimal Model implies coinciding of geometrical shapes of experimental and theoretical kinetic curves. In a case of multi-site enzyme systems the shape is mainly determined by power parameter p, which represents a number of sites for the partial effect modifiers. Analysis of experimental curve allows to determine particular value of parameter p, which conforms with the Minimal Model principle. Key words: multisite enzymes, partial effect modifiers Biochemistry N. Moseshvili, M. Chachua, T. Shiukashvili, R. Goguadze, Z. Lomtatidze, G. Alexidze, Corr. Member of the Academy N. Aleksidze Trehalose-Binding Soluble Lectin from Mentha pulegium: Purification and some Properties Presented March 12, 2002 Abstract. Trehalose-binding soluble lectin from Mentha pulegium was purified by affinity chromatography on trypsin-treated glutaraldehyde-fixed rabbit erythrocyte column. Hemagglutination activity of the lectin occurs in a relatively broad range of pH (pH 6.5-9.0) and is characterized by a strongly marked optimum (pH 7.5). The lectin is a thermally stable protein and maintains its activity after incubation at 70oC for 10 min. Soluble lectins selectively suppress growth and development of Actinomyces griseus and Streptomyces albogriseolus subsp. aragviensis. In their presence the viability of spores of Streptomyces albogriseolus subsp. aragviensis depending on concentration decreases notably. Key words: trehalose-binding lectin, hemagglutination activity. Biochemistry G. Papunidze, A. Kalandiya, M. Vanidze, M. Papunidze Gas-Liquid Chromatography of Volatile Components of Stevia (Stevia rebaudiana Bertoni) Grown in Georgia Presented by Member of the Academy Nutsubidze, July 2, 2002 Abstract. Volatile complex of stevia leaf (Stevia rebaudiana Bertoni) and products obtained from stevia have been studied. The investigated samples were collected from the stevia crop grown in Georgia. The presence of more than 200 components has been established by capillary gas-liquid chromatography. Key words: volatile complex, gas-liquid chromatography. Biochemistry N. Khurtsilava Z. Lomtatidze I. Gorozia

The Study of Lipids Metabolism in Spontaneous Morphological Variants of some Species of Streptomyces Presented by Corr. Member of the Academy D.Ugrekhelidze, March 12, 2002 Abstract. The intensity of lipids synthesis and qualitative composition of neutral, phospho- and glycolipids in spontaneous morphological variants of some actinomyces from the genus Streptomyces have been studied. Key words: Streptomyces, morphological variants, lipids synthesis. Radiobiology M.Gogebashvili, N.Ivanishvili, L.Pkhaladze The Influence of Gamma-radiation on the Intensity of Adventitious Rhizogenesis in vitro Conditions Presented by Member of the Academy K.Nadareishvili, June 10, 2002 Abstract. In the work the activity of adventitious rhizogenesis in plant cultural tissues exposed to gamma-radiation is studied. Precise dose dependence towards realization of its organogenetic potential at gamma-radiation is shown. Basic parameters of radioresistance of adventitious rhizogenesis are ascertained, namely: at exposure in the interval of 20 Gy doses rhizogenesis has a quite stable character; at exposure to 15 Gy dose unimportant stimulation of created roots mass is remarked; in case of doses above 20 Gy sharp decrease of rhizogenesis intensity is remarked which is between 80-100 Gy practical levels. Key words: gamma-radiation, callus tissue, adventitious rhizogenesis. Microbiology and Virology N. Gelovani, M. Darsavelidze, Member of the Academy T. Chanishvili, T. Suladze, M. Elizbarashvili, E. Burduli Distribution of Staphylococcus Strains and Study of their Biological Properties Presented April 16, 2002 Abstract. From the clinical material of adults and children of Georgian cities (Tbilisi, Rustavi, Kutaisi) 357 strains of Staphylococcus were isolated. As a result of study of morphological-cultural and biochemical properties they were divided into 2 groups: 248 strains of S. aureus and 105 strains of S. epidermidis. Antibioticosensitivity of Staphylococcus strains to 30 antibiotics was studied. The above noted strains were characterized by multiple resistance to antibiotics. Key words: Infection, Staphylococcus, Antibiotics. Microbiology and Virology Z. Lomtatidze, T. Shiukashvili, K. Mamulashvili, N. Ramishvili The Microflora of Khevi (Kazbegi) Mountain, Forest and Valley Soils Presented by Member of the Academy T.Chanishvili, April 16, 2002 Abstract. The microflora of Khevi (Kazbegi) mountain, forest and valley soils has been investigated. Relations between the quantitative and qualitative indices on the one hand, and the altitude the type of soil and humidity on the other hand have been determined. Key words: microorganisms, saprophytes, oligonitrophiles, cellulose destroying bacteria, fungi, actinomyces, nitrification, denitrification, nitrogen fixators.

Zoology B. Japoshvili Results of Visual Observations on Gonadogenesis of Vendace (Coregonus albula L.) in Conditions of Paravani Lake Presented by Corr. Member of the Academy B. Kurashvili, May 7, 2002 Abstract. The paper presents some pecularities of sexual cycle of vendace (Coregonus albula L.) females according to age groups. On the basis of visual observations the specifics of Paravani vendace oogenesis has been established. The relation between the gametogenesis, gamets development and gonads functioning with development of the whole organism is analyzed. Variation of maturity index in the process of sexual cycle is investigated and maturity stages of gonads are established. It has been stated that the terms of ice sheet forming on the lake and correspondingly those of the period of intensive spawning underwent changes due to global warming. Gonadosomatic index reaches its maximum at spawning in all age groups, but at the end of spawning it falls down. Ecological factors and anthropogenic intervention have significantly decreased the growth rate of vendace and productivity of the lake. Key words: gonadogenesis, sexual cycle, gonadosomatic index, maturity stages. Parasitology and Helminthology N. Mikaia Nematodofauna of Cetonia aurata (Scarabaeidae) in Georgia Presented by Corr. Member of the Academy I. Eliava, July 30, 2002 Abstract. Nematodofauna of one of the species of Scarabaeidae, namely, Cetonia aurata found in the East and West Georgia have been studied. Two species Pelodera teres and Thelastoma depresum have been identified. The latter has been first registered in Georgia. Key Words: Cetonia aurata, Rhabditida, Thelastoma, Pelodera teres. Histology N. Svani, V. Chachibaia, L. Gogiashvili Morphologic Characteristics of Thyroid Gland in Nodular Euthyroid Goiter Presented by Member of the Academy N. Javakhishvili, July 23, 2002 Abstract. The samples of thyroid parenchyma were studied by histological, electron-microscopic and morphometric methods after operation causing nodular euthyroid (NEG) goiter. The data show different morpho-functional variants of NEG with significant proliferation of follicular cells and increasing of Hürthle cells' number. It can be assumed that Hürthle cells may become the main source in malignization of thyroid parenchyma. Key words: euthyroid goiter, morphometry, ultrastructure, Hürthle cells. Histology G. Gokieli, G. Tomadze, A. Megreladze, M. Goletiani, A. Gvazava The Effect of Vagotomy on the Intramural Nervous Apparatus of Stomach Presented by Member of the Academy T.Chanishvili, July 23, 2002 Abstract. The state of intramural apparatus at various sites of the stomach was studied (using biopsy) in experiment (dogs) and clinically (patients with various types of vagotomy). The preparations were made and stained using standard methods. The activity of acetylcholinesterase, phosphomonoesterase and the nucleic acids spectrum were also examined. General responses of the intramural nervous apparatus in early postoperative periods were assessed using the methods of silvering.

Key words: intramural nervous apparatus, vagotomy, stomach. Hydrobiology N. Modebadze, G. Mukhigulashvili Mathematical Modelling of Plant Growth-Development Process Presented by Member of the Academy O. Natishvili, March 12. 2002 Abstract. We present mathematical model of plant growth-development with account of such significant factors as soil moisture, average air temperature for vegetation period, nutrient elements in soil, hurricanes, soil erosion, hail and the output of the culture itself growing as a result of interaction of these factors. For practical utilization of the present model we propose the method of calculation of the coefficients given in the model. Key words: growth-development, mathematical model. Experimental Medicine D. Bagaturia, R. Abashidze Doppler Echocardiographic Diagnosis of Ductus Arteriosus Presented by Corr. Member of the Academy T.Dekanosidze, April 30, 2002 Abstract. As many as 85 patients with Ductus Arteriosus have been studied. By means of Doppler echocardiography (DECG) and cardiovascular cathetherization the degree of arterial vein (AV) shunt and volume flows in small and great circles of blood circulation were calculated. Comparison of the results obtained by invasive and noninvasive methods showed high correlation; r = 0.87, n = 85, p < 0.05. A conclusion is drawn that DECG method is reliable to define the degree of AV shunt in the patients with Ductus Arteriosus. Key words: Ductus-arteriosus, Doppler echocardiography, arterial-vein shunt. Experimental Medicine G. Chichua The Micromorphological Investigation of the Post-Traumatic Proliferative Vitreoretinopathy Presented by Member of the Academy N.Javakhishvili, September 2, 2002 Abstract. The aseptic injury-model by means of lidaze-preparate and thrombic mass was created in the rabbit's eye. After injury the micromorphology of the post-traumatic proliferative vitreoretinopathy (PVR) was investigated. For the treatment of the above-mentioned pathology we also explored the application of such medications as Dexazone and the Plaferon-LB. After the PVR modelling single injection of Dexazone in amount of 3 mg and Plaferon-LB in amount of 4 mkg into the vitreous body was done. After investigation we established that the eye traumatic injury is an urgent pathology and the treatment should start immediately before the beginning of the inflammation. Key words: post-traumatic proliferative vitreoretinopathy, micromorphology, Plaferon-LB. Experimental Medicine N. Mamamtavrishvili, E. Narsia

Changes in Oxidative Metabolism at Heart Failure of Different Genesis Presented by Member of the Academy V. Bakhutashvili, September 17, 2002 Abstract. Redox potential of patients with heart failure of different genesis has been studied according to paramagntic changes of blood using an electron-paramagenetic resonance (EPR). A total of 106 patients with different forms of heart ishaemic disease and hypertension were examined. It has been established that in all cases the lowering of antioxidative enzymatic defence and occurrence of ions characteristic of cell's membrane destruction take place indicating an activation of lipids peroxidation, accumulation of its products and, as a result, changing of NO synthesis. The noteworty changes have been revealed mainly in groups of patients with deteriorated heart rate and hypertension. An activation of free-radical oxidation on the background of weakened antioxidant system seems to be a non-specific marker of different pathologies of cardiovascular system. According to our data it seems to be advisable the inclusion of membranoprotective antioxidant preparations into medicative curative complex as one of the means of pathogenetic therapy of this syndrome. Key words: chronic heart failure, endothelial dysfunction, EPR. Experimental Medicine M. Sulakvelidze Predictors of Morbidity and Mortality in Patients Undergoing Maintenance Hemodialysis Presented by Corr. Member of the Academy N. Tatishvili, July 7, 2002 Abstract. Among the predictors of morbidity and mortality in patients undergoing maintenance hemodialysis the urea reduction ratio (URR) and the serum albumin concentration are considered as the main factors associated with prognosis and outcome of the treatment. In accordance with above-mentioned the goal of our study was to define the risk of morbidity and mortality in connection with the URR and serum albumin in patients treated with hemodialysis. We investigated 260 patients on maintenance hemodialysis. Our results suggest that both factors are considerably associated with morbidity and mortality in patients undergoing hemodialysis and presented the most powerful predictors of mortality in these patients. Key Words: hypoalbuminemia, urea reduction ratio, maintenance hemodialysis. Palaeobiology I. Shatilova, L. Rukhadze, N. Mchedlishvili, N. Makharadze The Main Stages of the Development of Vegetation and Climate of Western Georgia During the Gurian (Euopleistocene) Time by the Pollen Records Presented by Corr. Member of the Academy G. Mchedlidze, April 2, 2002 Abstract. Twenty-seven outcrops of Lower and Upper Gurian deposits of Western Georgia were studied. The results of analysis of palynological complexes by the use of landscape - phytocoenotical method are presented in this contribution. Key words: Western Georgia, palynology, Gurian, vegetation, climate, development. Economics G. Meladze, E. Gachechiladze Current Trends of Vital Statistics and Reproductive Behaviour of Tbilisi Residents Presented by Corr. Member of the Academy L.Chikava, April 1, 2002 Abstract. According to the official statistic data the indices of vital statistics in the 1990s have worsened. This situation was considerably determined by current socio-economic crisis that conditioned negative changes in reproductive behaviour. Investigations show that in case of further development demographic situation in Tbilisi (Georgia) is going to be worse.

Key words: fertility, mortality, vital statistics, reproductive behaviour, set, children demand. Economics T. Gamsakhurdia The Role of Interbudgetary Relations in Perfection of Tax and Budgetary System in Georgia Presented by Corr. Member of the Academy L.Chikava, May 28, 2002 Abstract. Market Economy demands new tax and budgetary system and new interbudgetary relations, first of all, between the centre and regions, where there are many contradictions in realization of financial operations. These obstacles are caused by emerging misunderstanding between the rights and the tasks, which must be provided according to responsibility for them. New aspects of the reform of interbudgetary relations have been considered in the article. Key words: tax and budgetary system, interbudgetary relations, programmed budget, financial equality. Economics B. Mghebrishvili The Main Factors Defining Marketing Peculiarities in Curatives Trading Presented by Corr. Member of the Academy L. Chikava, April 2, 2002 Abstract. On the basis of scientific literature and study of the curative trade in Georgia main peculiarities of the marketing of medicinal group have been observed. Curing preparations belong to specific group of goods and therefore need special care on both sides manufacturers and consumers. Some of the main factors of curative marketing are being described in the article. Key words: curatives, marketing, trade, goods, consumer. Linguistics R. Pareulidze On the History of Two Verbal Stems in Chechen Presented by Corr. Member of the Academy G. Kvaratskhelia, April 23, 2002 Abstract. In Chechen da_n- verb with a class-marker has two meanings: "to come" and "to bring". The forms dagan (which is also attested in Tsova-Tushian) for the first meaning and *dahgan for the second one are restored as a result of reconstruction. The stem wol (wal // val), which is identical with the root val (mo-val...) in Georgian, is distinguished in an imperative form (d-wol-a "Come!"). It seems that even the Georgian ved/vid (mo-ved, mo-vid) stems are common with the Chechen corresponding stems: cf. d-ax-an ("to go") Present verbal form. The stems under research in Georgian and Chechen seems to be of common origin. Key words: reconstruction, a stem, grammatical class-marker, transitive, intransitive. Philology George P. Tumanishvili On the Problem of Motif, Theme and Idea of Literary Work on the Example of

I.Chavchavadze's story 'On the Gallows' Presented by Corr.Member of the Academy A.Gvakharia, February 26, 2002 Abstract. The construction of a single model of interpretation of a theme, idea, main motif of a literary work is possible in semiotic plain using the scheme of construction of literary work a+b+c, where a is the name of the work, b is literary work itself, c is a final fragment. Key words: motif, Chavchavadze, "On the Gallows". History of Sciences N. Kruashvili Ivane Gvaramadze - the Enlightener and Statesman Presented by Corr. Member of the Academy L. Chilashvili, March 5, 2002 Abstract. Ivane Gvaramadze lived and worked on the boundary of the XIX-XX c.c. He carried out his many-sided activities according to the request of the epoch. He took care of the education and the cultural promotion of his nation in order not to lose its national self-consciousness. Key words: I. Gvaramadze.