Vol 485, No 2 (2019)

Mathematics
Classification of one-dimensional attractors of diffeomorphisms of surfaces by means of pseudo-anosov homeomorphisms
Grines V.Z., Kurenkov E.D.
Abstract

In the present paper axiom diffeomorphisms of closed 2-manifolds of genus whose nonwandering set contains perfect spaciously situated one-dimensional attractor are considered. It is shown that such diffeomorphisms are topologically semiconjugate to pseudo-Anosov homeomorphism with the same induced automorphism of fundamental group. The main result of the paper is the following. Two diffeomorphisms from the given class are topologically conjugate on attractors if and only if corresponding pseudo-Anosov homeomorphisms are topologically conjugate by means of homeomorphism that maps a certain subset of one pseudo-Anosov map onto the certain subset of the other pseudo-Anosov map.

Доклады Академии наук. 2019;485(2):135-138
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Optimal feedback control problem for Bingham media motion with periodic boundary conditions
Zvyagin V.G., Turbin M.V.
Abstract

We study the optimal feedback control problem for the motion of Bingham media with periodic boundary conditions in two- and three-dimensional cases. First, the considered problem is interpreted as an operator inclusion with a multivalued right-hand side. Then, the approximation-topological approach to hydrodynamic problems and the degree theory for a class of multivalued maps are used to prove the existence of solutions of this inclusion. Finally, we prove that, among the solutions of the considered problem, there exists one minimizing the given cost functional.

Доклады Академии наук. 2019;485(2):139-141
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The least distance between extremums and minimal period of solutions to autonomous vector differential equations
Zevin A.A.
Abstract

Solutions x(t) of the Lipschitz equation x = f(x) with an arbitrary vector norm are considered. It is proved that the sharp lower bound for the distances between successive extremums of xk(t) equals π/L where L is the Lipschitz constant. For non-constant periodic solutions, the lower bound for the periods is 2π/L. These estimates are achieved for norms that are invariant with respect to permutation of the indices.

Доклады Академии наук. 2019;485(2):142-144
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Area of graph surfaces on Carnot groups with sub-lorentzian structure
Karmanova M.B.
Abstract

For graph mappings constructed from sufficiently smooth mappings of nilpotent graded groups, we prove area formula on sub-Lorentzian structures of arbitrary depth with multi-dimensional time.

Доклады Академии наук. 2019;485(2):145-148
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Interpolation by sums of series of exponentials and global Cauchy problem for convolution operators
Merzlyakov S.G., Popenov S.V.
Abstract

The study is made of the problem of multiple interpolation on an infinite nodes set by the sums of absolutely convergent series of exponentials whose exponents are from a given set. For entire function conditions on nodes and exponents are obtained that give solubility of the problem. A new approach is demonstrated that enable us, for the case of holomorphic function in a domain, to obtain criteria of solubility of the problem for some class of exponents set and for a special class of nodes set. Moreover the necessity of the conditions is proved in great generality namely for arbitrary nodes sets and in the setting of interpolation by functions that are represented as the Laplace transforms of the Radon measures over the exponents set. Solubility is obtained of the global Cauchy problem for convolution operator with data on the nodes set in domain, in the form of the series of exponentials whose exponents belong to a sparse subset of zero set of characteristic function of the operator. The results substantially strengthen the known results on the theme.

Доклады Академии наук. 2019;485(2):149-152
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Controllability and optimal controllability for operator equations of the first kind in (B)-spaces. examples for ODE in Rn
Prilepko A.I.
Abstract

For control and observation problems considered for operator equations of the first kind in Banach spaces, an controllability criterion is stated. In the case of reflexive strictly convex (B)-spaces, the BUME method and the method of monotone mappings are used to find optimal controls and an abstract maximum principle is formulated. The indicated problems for ODE systems in Rn are investigated as an example.

Доклады Академии наук. 2019;485(2):153-157
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Physics
Laboratory modeling of the giant gravitational shift of gamma-radiation frequency
Fortov V.E., Shvartsburg A.B.
Abstract

The control spectral shifts of resonant radiation frequency due to spatially non-uniform and non-stationary centrifugal acceleration, stipulated by the travel of radiation source along the centrifugal radius or modulation of the rotation frequency, are examined. These spectral variations pave the way to modeling of effects of non-uniform and non-stationary gravity field. The perspectives of flexible control of spectral lines shifts for the analysis of fine structure of radiation and absorption spectra are considered.

Доклады Академии наук. 2019;485(2):158-161
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Mechanics
A new type of cracks adding to Griffith–Irwin cracks
Babeshko V.A., Babeshko O.M., Evdokimova O.V.
Abstract

The distinctions in the description of the conditions of cracking of materials are revealed. For Griffith–Irwin cracks, fracture is determined by the magnitude of the stress-intensity factor at the crack tip; in the case of the new type of cracks, fracture occurs due to an increase in the stress concentrations up to singular concentrations.

Доклады Академии наук. 2019;485(2):162-165
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Parallel and sequential structures of manipulators in robotic surgery
Veliev E.I., Ganiev R.F., Glazunov V.A., Filippov G.S.
Abstract

The problems of modern robotics associated with the requirements for devices designed for various purposes are considered. The daVinci robotic surgical manipulation system is analyzed. The developed robotic system with a parallel structure designed for various kinds of surgical operations is proposed.

Доклады Академии наук. 2019;485(2):166-170
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The conservative version of a method of the characteristics with a floating grid in problems of gas dynamics
Grishin Y.A., Bakulin V.N.
Abstract

Test calculations of the motion and reflection of individual waves in a long tube have been performed applying newly developed and known schemes with a floating grid. Waves in the corresponding experiment were formed using a specially designed single-cycle generator. The version presented is shown to have a significant advantage in calculation time over the discontinuity decay method, in which the computational grid density must be increased significantly to obtain the desired correspondence with the real wave pattern.

Доклады Академии наук. 2019;485(2):171-175
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Estimates of the average angular velocity of the precession of Lagrange's top
Rozenblat G.M.
Abstract

Guaranteed upper and lower estimates of the increment in the precession angle per nutation angle period under nondegenerate motions of a Lagrange top have been obtained in the article.

Доклады Академии наук. 2019;485(2):176-181
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Chemistry
Synthesis of isotopically modified derivatives of dopamine, serotonin and doxorubicine with Boc-Pro and Boc-[2H]Pro
Shevchenko V.P., Andreeva L.A., Nagaev I.Y., Myasoedov N.F.
Abstract

The synthesis of Boc-Pro-Dox, Boc-Pro-DOPA, Boc-Pro-Srt, Pro-Dox, Pro-DOPA, and Pro-Srt, as well as Boc-[2H]Pro-Dox, Boc-[2H]Pro-DOPA, Boc-[2H]Pro-Srt and [2H]Pro-Dox, [2H]Pro-DOPA, and [2H]Pro-Srt were performed for the first time. It was established that Boc-[2H]Pro is the most promising for obtaining deuterated compounds. It was shown that hydrogenation of Boc-APro in ethyl acetate on a palladium catalyst allows 1.6-1.65 times more deuterium to be introduced than for hydrogenation of an unsaturated proline bound to serotonin and three times more than hydrogenating an unsaturated proline bound to dopamine. Due to the instability of doxorubicin under the conditions of the reduction of unsaturated proline, its condensation with Boc- [2H]Pro is the only possibility for obtaining Boc-[2H]Pro-Dox. Mass spectrometric methods determined the content of isotopomers in deuterated products.

Доклады Академии наук. 2019;485(2):182-185
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Physical chemistry
Computer simulation of the structure of multicomponent oxide-fluoride melts
Gelchinski B.R., Dyul'dina E.V., Selivanov V.N., Leontiev L.I.
Abstract

Based on the experimental data on the density, the molecular dynamics simulation of multicomponent oxidefluoride melts was first carried out in the ionic bond model approximation: SiO2-CaO-Al2O3-MgO-CaF2- Na2O-K2O-FeO. The results are discussed and compared with the experimental and calculated data. An increased diffusion mobility of fluorine ions as well as ions of alkali metals in comparison with other elements has been revealed. It is shown that the computer model allows obtaining adequate information about the structure of the melt of a certain chemical composition, as well as a fairly realistic picture of the atomic structure of the slag melt, which, according to the main parameters, agrees well with the data of the diffraction experiment.

Доклады Академии наук. 2019;485(2):186-189
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Self-propagating high-temperature synthesis of ZrB2-B4C composites with the dispersed phase as hollow shells
Shcherbakov V.A., Gryadunov A.N., Alymov M.I.
Abstract

The formation of the microstructure of ZrB2-B4C ceramic composites produced by SHS pressing has been studied. It has been shown that the exothermic interaction in a mixture of Zr, B, and C powders gives an equilibrium SHS product containing ZrB2 as a dispersed phase and B4C – as a ceramic binder. The effect of the ceramic binder (B4C) content on the formation of the microstructure of SHS composites has been studied. It is shown, at content of B4C 10-20 wt% homogeneous SHS composites were formed consisting monolithic the ZrB2 particles with a size of 10-12 pm, and at content of B4C 20-40 wt% – hollow shells consisting of the ZrB2 particles.

Доклады Академии наук. 2019;485(2):190-193
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Geology
Early permian age of nepheline syenites of the Korgere-Daba massif (Sangilen highlands, Tuva)
Nikiforov A.V., Salnikova E.B., Yarmolyuk V.V., Kotov A.B., Sugorakova A.M., Anisimova I.V.
Abstract

This paper reports on geochronological U–Pb studies of baddeleyite from nepheline syenite of the Korgere–Daba alkaline massif, which is the largest massif within the Sangilen Highlands (Tyva). The established age of rocks, 295 ± 1 Ma, indicates that, in the Early Permian, undersaturation by silica magmatism occurred in the region in addition to the alkaline-granite magmatism (Ulug–Tanzek, etc.). This age furthermore points to the need to make corrections in the conceptions of a petrophysical type for the Devonian Sangilen complex, which is traditionally distinguished in this region. Until now, the Korgere–Daba massif has been considered in this regard.

Доклады Академии наук. 2019;485(2):194-197
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Composition and origin of lavas from the Minami-Hiyoshi submarine volcano (Mariana arc)
Petrova V.V., Rashidov V.A.
Abstract

This work is a link in a series of studies of Late Cenozoic submarine volcanoes of the island arcs in the western part of the Pacific Ocean, representing the first detailed Russian-language description of the material composition of the Minami-Hiyoshi submarine volcano, which is involved in the Hiyoshi volcanic complex (the northern part of the Mariana arc). This study was based on rock material dragged from the volcano during the 5th cruise of the R/V Vulkanolog. New original data on the structure, chemical and mineral compositions, and origin of volcanic lava were obtained. It was shown that all the lava flows studied are genetically linked and originated from the same magma chamber. Structural-petrographic differences in the lava flows are explained by different dynamics in the melt transportation to the surface of the bottom of the ocean.

Доклады Академии наук. 2019;485(2):198-201
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Ordovician gabbro-tonalite-trondhjemite complex and associated volcanic rocks in the paleozoic suture between Urals and Kazakhstan
Ryazantsev А.V.
Abstract

This paper reports new data on the Early Ordovician age established for granitoids of the gabbro-tonalite-trond- hjemite complex in the Denisovka ophiolite zone (suture) on the boundary between the Paleozoic structures (Paleozoides) of the Urals and Kazakhstan. The ages of 482.6 ± 3.6 Ma and 486.2 ± 6.7 Ma were established by the U/Pb method (SHRIMP II) on the age data for zircon extracted from granitoids. The plutonic complex associates with the Early-Middle Ordovician effusive complex, composed of a series of rocks differentiated from basalts to rhyolites. The volcano-plutonic association was formed in the supra-subduction settings, as is evidenced by the composition of the rocks.

Доклады Академии наук. 2019;485(2):202-206
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Geochemistry
Co, Hf, Ce, Cr, Th, and REE systematics of modern bottom sediments of the Barents sea
Maslov A.V., Politova N.V., Shevchenko V.P., Kozina N.V., Novigatsk A.N., Kravchishina M.D.
Abstract

The Co, Hf, Ce, Cr, Th, and REE systematics are analyzed for modern sediments collected by a bottom grab during the 67th and 68th cruises of R/V “Akademik Mstislav Keldysh” and samples taken in the Barents Sea bays and inlets. Our results indicate that most modern bottom sediments are composed of fine silicoclastic material enhanced with a suspended matter of the North Cape current, which erodes the western coast of Scandinavia, and due to bottom erosion of some marine areas, as well as erosion of rock complexes of the Kola Peninsula, Novaya Zemlya, and Franz Josef Land (local provenances). Material from Spitsbergen also probably played a certain role. In the southern part of the Barents Sea, clastic material is supplied by the Pechora River.

Доклады Академии наук. 2019;485(2):207-211
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Interaction of actinide matrices with brine
Yudintsev S.V., Malkovsky V.I., Nikolsky M.S., Nikonov B.S.
Abstract

Radioactive wastes with long-lived actinides derived in the nuclear fuel cycle can be disposed in very deep boreholes (depth up to 5 km) in titanate and zirconate matrices. During their interaction with a hot chloride brine very low release rate of the waste imitator (Nd) is shown. The elements in solution occur in soluble form, role of colloids is insignificant. The data allow selection of matrices for actinide waste immobilization.

Доклады Академии наук. 2019;485(2):212-216
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Geophysics
On the use of natural electromagnetic fields to search for deep polarized objects
Ermokhin K.M., Kopytenko Y.A., Petrishchev M.S., Sobisevich A.L., Sergushin P.A.
Abstract

In article the possibility of detection of the deep polarized objects in natural electromagnetic fields is experimentally proved on the basis of synchronous measurements of a vertical component of long-period variations of magnetic field of Earth. Interpretation of data of the induced polarization is executed by method of analytical continuation of geophysical fields down (towards sources). Experimental works are completed near Lekhta (Karelia) in 2017.

Доклады Академии наук. 2019;485(2):217-220
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Geography
Lithology, biostratigraphy, and geochronology of the late pleistocene-holocene sediments on the coast of Onega bay of the White sea
Kolka V.V., Korsakova O.P., Lavrova N.B., Shelekhova T.S., Zaretskaya N.E.
Abstract

This paper reports on the lithological, micropaleontological, and chronometric data (radiocarbon dating) for one of the areas of the White Sea coast. The sedimentary sequences were studied in the current lake basins, which were separated from the large basin at different times. The basin was situated in the head of the current Onega Bay. On the basis of these data, the bottom sediments were stratified and the Late Pleistocene-Holocene paleogeographic settings were reconstructed for the southeastern part of Onega Bay.

Доклады Академии наук. 2019;485(2):221-225
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Biochemistry, biophysics, molecular biology
The expression level of S100A4 protein affects the migration activity of breast cancer cells
Dukhanina E.A., Portseva T.N., Kotnova A.P., Pankratova E.V., Georgieva S.G.
Abstract

Reduced expression of S100A4 protein metastasis marker in tripletnegative breast cancer cells (BC) MDA MB 231 leads to a decrease in the migratory ability of cells and increases the sensitivity of modified cells to docetaxel therapy. Cells capable of migration differ from immobile cells in the S100A4 protein content inside the cell, and this difference is preserved after the cells are treated with agents that lower the intracellular level of S100A4. The presence of exogenous protein S100A4 in the culture medium reduces the protein content in breast cancer cells. The results of the research indicate that the ability of BC cells to migrate depends on the concentration of S100A4 protein inside the cell.

Доклады Академии наук. 2019;485(2):226-228
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Principles for construction of bioluminescent enzyme biotests for analysis of complex media
Kalyabina V.P., Esimbekova E.N., Torgashina I.G., Kopylova K.V., Kratasyuk V.A.
Abstract

We formulated the principles of designing bioluminescent enzyme tests for assessing the quality of complex media which consist in providing the maximum sensitivity to potentially toxic chemicals at a minimal impact of uncontaminated complex media. The developed principles served as a basis for designing a new bioluminescent method for an integrated rapid assessment of chemical safety of fruits and vegetables which is based on using the luminescent bacterium enzymes (NAD(P)H:FMN oxidoreductase and luciferase) as a test system.

Доклады Академии наук. 2019;485(2):229-233
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Ligand docking to the acidic pocket of the proton-gated ion channel ASIC1a
Korkosh V.S., Tikhonov D.B.
Abstract

Proton-gated ion channels of ASIC family play important role in many physiological and pathological processes and represent a perspective target for pharmacological modulation. Recently, atomic-scale structures of ASICs in closed, open and desensitized states have become available. This opened a possibility to model binding of ligands, which modulate ASIC activation and desensitization and to predict structures of new specifically acting pharmacological agents. In the present work we performed in docking of a series of ligands, which stabilize open or closed state of ASIC1a. For the first time we revealed a correlation between the spatial ligand structure and its mode of action. We revealed specific interactions of these inhibitors and potentiators with amino-acid residues in the acidic pocket of ASIC1a. The results allow predictive design of new drugs.

Доклады Академии наук. 2019;485(2):234-237
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Loading rate of exogenous and autoantigenic determinants on major histocompatibility complex class ii mediates resistance to multiple sclerosis
Mamedov A.E., Zakharova M.Y., Favorova O.O., Kulakova O.G., Boyko A.N., Knorre V.D., Vorobieva N.A., Khurs E.N., Kiselev I.C., Baulina N.M., Gabibov A.G., Belogurov, Jr. A.A.
Abstract

Genetic analysis of thousands of patients with multiple sclerosis (MS) and healthy Russian donors showed that the carriage of groups of HLA-DRB1*15 and HLA-DRB1*03 alleles is associated with the risk of MS, whereas the carriage of groups of HLA-DRB1*01 and HLA-DRB1*11 alleles is protective. Recombinant HLA-DRB1*01:01 with a high affinity can recognize the fragments of myelin basic protein (MBP), one of the autoantigens in MS. However, the comparison of the kinetic parameters of the load of MBP and viral HA peptides on HLA-DRB1*01:01, which is catalyzed by HLA-DM, showed a significantly lower rate of exchange of CLIP for MBP peptides. We assume that the observed protective properties of the group of HLA-DRB1*01 alleles may be directly associated with the ability of HLA-DRB1*01:01 to kinetically distinguish peptides of exogenous and endogenous nature.

Доклады Академии наук. 2019;485(2):238-241
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Resident and anadromous forms of arctic charr (Salvelinus alpinus) from North-East Europe: an example of high ecological variability without speciation
Makhrov A.A., Bolotov I.N., Spitsyn V.M., Gofarov M.Y., Artamonova V.S.
Abstract

Samples from 11 populations of the Arctic char of the North-European part of Russia belonging to the anadromous and resident forms and two samples from Lake Sobach'e (Taimyr) were studied. The nucleotide sequence of the mitochondrial COI gene was determined in 60 individuals. In the majority of populations, the same COI haplotype was found. In some populations of the resident chars, haplotypes differing from the widespread haplotype in a single nucleotide substitution were found. The obtained genetic data give no reason to distinguish the resident form of the Arctic char from lakes of Karelia and the Kola Peninsula as an independent species, Salvelinus lep- echini. The adaptation of the Arctic char to the unstable environmental conditions is ensured primarily by its phenotypic plasticity.

Доклады Академии наук. 2019;485(2):242-246
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Physiology
Physical fatigue and the morfofunctional state of myocardium in experimental chronic stress
Kondashevskaya M.V., Tseylikman V.E., Komelkova M.V., Lapshin M.S., Sarapultsev A.P., Lazuko S.S., Kuzhel O.P., Manukhina E.B., Downey H.F., Chereshneva M.V., Chereshnev V.A.
Abstract

The relationship between skeletal muscle fatigue and morpho-functional alterations in the myocardium was analyzed for the first time in Wistar male rats exposed to chronic stress. Post traumatic stress disorder (PTSD) was associated with signs of increased oxidative stress, which apparently induced the changes in cardiomyocyte structural components and the acceleration of skeletal and muscular fatigue.

Доклады Академии наук. 2019;485(2):247-250
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