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Chinese Physics B 2012年第9期21卷 176-178页

作者： i. i. Guseinov Department of Physics Faculty of Arts and Sciences Onsekiz Mart University

Simpler formulas are derived for one-range addition theorems for the integer and noninteger n generalized ex- ponential type orbitals, momentum space orbitals, and hyperspherical harmonics with hyperbolic cosine （GETO HC, GMSO HC, and GHSH HC） in position, momentum and four-dimensional spaces, respectively. The final results are expressed in terms of one-range addition theorems of complete orthonormal sets of Ca-exponential type orbitals, Ca- momentum space orbitals and za-hyperspherical harmonics. We notice that the one-range addition theorems for integer and noninteger n-Slater type orbitals and Gaussian type orbitals in position, momentum and four dimensional spaces are special cases of GETO HC, GMSO HC, and GHSH HC. The theorems presented can be useful in the accurate study of the electronic structure of atomic and molecular systems.

关键词： electronic structure generalized exponential type orbitals one-range addition theorems,Hartree-Fock-Roothaan equations

One-Range Addition Theorems in Terms of ψ^α -ETOs for STOs and Coulomb-Yukawa Like Correlated interaction Potentials of integer and Noninteger indices

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Chinese Physics Letters 2008年第12期25卷 4240-4243页

作者： i. i. Guseinov Department of Physics Faculty of Arts and Sciences Onsekiz Mart University Canakkale Turkey

The expansion formulas in terms of complete orthonormal sets of ψ^α -exponential type orbitals are established for the Slater type orbitals and Coulomb-Yukawa-like correlated interaction potentials of integer and noninteger indices. These relations are used in obtaining their unsymmetrical and symmetrical one-range addition theorems. The final results are especially useful in the calculations of multicentre multielectron integrals occurring when Hartree-Fock-Roothaan and explicitly correlated methods are employed.

关键词： orthonormal set expansion formula

The effect of forced oscillations on the kinetics of wave drift in an inhomogeneous plasma

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Plasma Science and Technology 2020年第12期22卷 8-19页

作者： V i EROFEEV institute of Automation&Electrometry of the Siberian Branch of the Russian Academy of Sciences 1 Koptyug Prosp.630090NovosibirskRussia Novosibirsk State University 2 Pirogova Str.NovosibirskRussia

The kinetics is analyzed of the drift of non-potential plasma waves in spatial positions and wavevectors due to plasma's spatial inhomogeneity. The analysis is based on highly informative kinetic scenarios of the drift of electromagnetic waves in a cold ionized plasma in the absence of a magnetic field(Erofeev 2015 Phys. Plasmas 22 092302) and the drift of long Langmuir waves in a cold magnetized plasma(Erofeev 2019 J. Plasma Phys. 85 905850104). it is shown that the traditional concept of the wave kinetic equation does not account for the effects of the forced plasma oscillations that are excited when the waves propagate in an inhomogeneous *** are highlighted that account for these oscillations in the kinetic equations of the abovementioned highly informative wave drift scenarios.

关键词： informativeness of plasma kinetic scenario the ensemble method asymptotic convergence of perturbation theories correlation analysis of plasma kinetics kinetic equation of wave drift in phase space

Unified treatment for accurate and fast evaluation of the Fermi-Dirac functions

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Chinese Physics B 2010年第5期19卷 72-77页

作者： i.i.Guseinov B.A.Mamedov Department of Physics Faculty of Arts and SciencesOnsekiz Mart UniversityCanakkaleTurkey Department of Physics Faculty of Arts and SciencesGaziosmanpa sa UniversityTokatTurkey

A new analytical approach to the computation of the Fermi-Dirac （FD） functions is presented, which was suggested by previous experience with various algorithms. Using the binomial expansion theorem these functions are expressed through the binomial coefficients and familiar incomplete Gamma functions. This simplification and the use of the memory of the computer for the calculation of binomial coefficients may extend the limits to large arguments for users and result in speedier calculation, should such limits be required in practice. Some numerical results are presented for significant mapping examples and they are briefly discussed.

关键词： statistical semiconductors plasma physics nuclear physics

The Use of Fourier Descriptors for the Classification and Analysis of Peripheral Blood Smears image

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Applied Mathematics 2017年第11期8卷 1563-1571页

作者： Rimma Tomakova vitaliy Komkov Evgeniy Emelianov Maksim Tomakov South West State University Kursk Russia

The article discusses the use of Fourier descriptors for the analysis and classification of blood cells. A model describing the contour boundaries in the form of two-dimensional numerical sequence Fourier descriptors. The influence of the shape and orientation of the figures on the parameters of the Fourier descriptors. Explore ways to ensure the invariance of the Fourier descriptors with respect to geometric transformations. A model of the graphical representation of the Fourier descriptors of computer graphics tools. A method of forming a space of informative features based on Fourier descriptors for the neural network, classifying the contours of borders image segments.

关键词： Fourier Descriptors image Processing Analysis of the Spectrum Boundaries Space of informative Signs Recognition Classification of Objects

The sexually dimorphic expression of glutamate transporters and their implication in pain after spinal cord injury

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Neural Regeneration Research 2025年第11期20卷 3317-3329页

作者： Jennifer M.Colón-Mercado Aranza i.Torrado-Tapias iris K.Salgado Jose M.Santiago Samuel E.Ocasio Rivera Dina P.Bracho-Rincon Luis H.Pagan Rivera Jorge D.Miranda Department of Physiology University of Puerto RicoMedical Sciences CampusSan JuanPRUSA National institutes of Health National Human Genome Research InstituteBethesdaMDUSA Universidad Central del Caribe School of MedicineBayamónPRUSA University of Puerto Rico Carolina CampusCarolinaPRUSA institute of Neurobiology San JuanPRUSA

in addition to the loss of motor function,~60% of patients develop pain after spinal cord *** cellular-molecular mechanisms are not well understood,but the data suggests that plasticity within the rostral,epicenter,and caudal penumbra of the injury site initiates a cellularmolecular interplay that acts as a rewiring mechanism leading to central neuropathic *** can lead to the formation of new connections triggering abnormal sensory *** excitatory glutamate transporters are responsible for the reuptake of extracellular glutamate which makes them a critical target to prevent neuronal hyperexcitability and *** previous studies showed a sexually dimorphic therapeutic window for spinal cord injury after treatment with the selective estrogen receptor modulator *** this study,we investigated the anti-allodynic effects of tamoxifen in male and female rats with spinal cord *** hypothesized that tamoxifen exerts anti-allodynic effects by increasing the expression of glutamate transporters,leading to reduced hyperexcitability of the secondary neuron or by decreasing aberrant *** and female rats received a moderate contusion to the thoracic spinal cord followed by subcutaneous slow-release treatment of tamoxifen or matrix pellets as a control(placebo).We used von Frey monofilaments and the“up-down method”to evaluate mechanical *** treatment decreased allodynia only in female rats with spinal cord injury revealing a sexdependent *** expression profile of glutamatergic transporters(excitatory amino acid transporter 1/glutamate aspartate transporter and excitatory amino acid transporter 2/glutamate transporter-1)revealed a sexual dimorphism in the rostral,epicenter,and caudal areas of the spinal cord with a pattern of expression primarily on *** rodents showed a significantly higher level of excitatory amino acid transporter-1 expression while male rodents showed increased

关键词： allodynia central neuropathic pain EAAT-1/GLAST EAAT-2/GLT-1 glutamate transporters selective estrogen receptor modulator sexual dimorphism spinal cord injury trauma

Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation

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Applied Mathematics and Mechanics(English Edition) 2022年第1期43卷 127-140页

作者： i.WAiNi A.iSHAK i.POP Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaDurian Tunggal76100Malaysia Department of Mathematical Sciences Universiti Kebangsaan MalaysiaBangi43600Malaysia Department of Mathematics Babeş-Bolyai UniversityCluj-Napoca400084Romania

The magnetohydrodynamic(MHD)mixed convection flow past a shrinking vertical sheet with thermal radiation is ***,the effects of Cu-Al_(2)O_(3) nanoparticles and dust particles are *** similarity variables reduce the governing equations to the similarity equations,which are then solved *** outcome shows that,for the shrinking case,the solutions are not *** rate of heat transfer and the friction factor enlarge with increasing the values of the copper nanoparticle volume fraction as well as the magnetic ***,the assisting flow and the rise of the thermal radiation reduce these *** solutions are found,and the boundary layer separation is dependent on the mixed convection parameter.

关键词： dusty fluid hybrid nanofluid magnetohydrodynamic(MHD) mixed convection shrinking sheet thermal radiation dual solution

Estimation of Artificial Plantings of Pinus sylvestris in Kazakhstan according to Their Geographical Origin

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Journal of Life Sciences 2013年第7期7卷 773-780页

作者： Nadezhda Konstantinovna Chebotko vitaliy Yurevich Kirillov Bolat Mazhitovich Mukanov Department of Breeding Kazakh Research Institute of Forestry 58 Kirov str. Shchuchinsk Akmola Region 021704 Kazakhstan

35-40-year experience of the study of geographical cultures in Kazakhstan has allowed accumulating of significant scientific information on test of seed progeny of different origins of Pinus sylvestris. Results on growing of climatic types of the pine in provenance trial plantations of Pavlodarskaya, East-Kazakhstan, Kostanayskaya and Akmolinskaya oblasts of the Republic of Kazakhstan are given. Long-term studies have shown that at growing of different origins in determined conditions with the use of identical agricultural techniques, different silvicultural, selection and economic effects are reached. Analysis of all the available material has been conducted on the basis of which new forest seed zoning is designed and the most productive and stable ecotypes are selected as candidates for sort-populations. Arakaragayskiy ecotype is universal for different zones and site conditions of the pine in Kazakhstan. Chebarkulskiy ecotype has good indices on productivity, stability, quality of plantings and on selection effect. Given geographical ecotypes are recommended as candidates for sort-populations.

关键词： Geographical cultures ecotype hereditary variability selection effect.

MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge

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Applied Mathematics and Mechanics(English Edition) 2020年第3期41卷 507-520页

作者： i.WAiNi A.iSHAK i.POP Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaHang Tuah JayaDurian Tunggal 76100MelakaMalaysia Department of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi 43600SelangorMalaysia Department of Mathematics Babe¸s-Bolyai UniversityCluj-Napoca 400084Romania

The steady flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge with magnetic field and radiation effects are studied. The governing equations of the hybrid nanofluid are converted to the similarity equations by techniques of the similarity transformation. The bvp4c function that is available in MATLAB software is utilized for solving the similarity equations numerically. The numerical results are obtained for selected different values of parameters. The results discover that two solutions exist, up to a certain value of the stretching/shrinking and suction strengths. The critical value in which the solution is in existence decreases as nanoparticle volume fractions for copper and wedge angle parameter increase. it is also found that the hybrid nanofluid enhances the heat transfer rate compared with the regular nanofluid. The reduction of the heat transfer rate is observed with the increase in radiation parameter. The temporal stability analysis is performed to analyze the stability of the dual solutions, and it is revealed that only one of them is stable and physically reliable.

关键词： dual solution hybrid nanofluid stretching/shrinking wedge magnetic field radiation stability analysis

Usage of Cox-Regression Model for Forecasting of Survival Rate in Patients with the Early Stage of Non-Small Cell Lung Cancer

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Advances in Lung Cancer 2014年第1期3卷 26-33页

作者： Oleksey P. Kolesnik Anatoliy i. Shevchenko Yuriy E. Lyakh vitaliy G. Gurianov Pavel A. Alyoshechkin Department of Medical Biophysics Medical Informatics and Biostatistics M. Gorky Donetsk National Medical University Donetsk Ukraine Department of Oncology Zaporizhzhya State Medical University Zaporizhzhya Ukraine

in the past decades a lot of investigations were focused on searching for more accurate markers of lung cancer progression. Researchers indicate that molecular markers may be useful in forecasting of treatment outcome and overall survival rate in patients with non-small cell lung cancer. The aim of our research was to create a forecasting model in order to identify patients with stage i-ii of non-small cell lung cancer and dismal prognosis. Our research covered 254 patients with the early stage of non-small cell lung cancer who underwent a cure from June 2008 till December2012 inthe Department of Thoracic Surgery of Zaporizhzhia Regional Clinical Oncologic Dispensary. Surgery was performed for all patients. Adjuvant chemotherapy was performed for 101 patients. in order to carry out multivariate Cox-regression analysis, STATiSTiCA 6.0 (StatSoft inc.) program was used. The most significant from 39 variables were selected (tumor size, histological form of tumor, volume of surgical intervention, volume of conducted lymph node dissection, Ki-67 expression, EGFR expression, E-cadherin expression). We propose the computer system which can forecast survival rate in patients with the early stage of non-small cell lung cancer.

关键词： Forecasting Model Survival Rate Non-Small Cell Lung Cancer