General solution of equations of motion for a classical particle in 9-dimensional Finslerian space

A Lagrangian description of a classical particle in a 9-dimensional flat Finslerian space with a cubic metric function is constructed. The general solution of equations of motion for such a particle is obtained. The Galilean law of inertia for the Finslerian space is confirmed.Comment: 10 pages, LaTeX-2e, no figures; added 2 reference

Theoretical and numerical studies of wave-packet propagation in tokamak plasmas

Theoretical and numerical studies of wave-packet propagation are presented to analyze the time varying 2D mode structures of electrostatic fluctuations in tokamak plasmas, using general flux coordinates. Instead of solving the 2D wave equations directly, the solution of the initial value problem is used to obtain the 2D mode structure, following the propagation of wave-packets generated by a source and reconstructing the time varying field. As application, the 2D WKB method is applied to investigate the shaping effects (elongation and triangularity) of tokamak geometry on the lower hybrid wave propagation and absorbtion. Meanwhile, the Mode Structure Decomposition (MSD) method is used to handle the boundary conditions and simplify the 2D problem to two nested 1D problems. The MSD method is related to that discussed earlier by Zonca and Chen [Phys. Fluids B 5, 3668 (1993)], and reduces to the well-known "ballooning formalism" [J. W. Connor, R. J. Hastie, and J. B. Taylor, Phys. Rev. Lett. 40, 396 (1978)], when spatial scale separation applies. This method is used to investigate the time varying 2D electrostatic ITG mode structure with a mixed WKB-full-wave technique. The time varying field pattern is reconstructed and the time asymptotic structure of the wave-packet propagation gives the 2D eigenmode and the corresponding eigenvalue. As a general approach to investigate 2D mode structures in tokamak plasmas, our method also applies for electromagnetic waves with general source/sink terms, either by an internal/external antenna or nonlinear wave interaction with zonal structures.Comment: 24 pages, 14 figure

Non-sequential double ionization below laser-intensity threshold: Anticorrelation of electrons without excitation of parent ion

Two-electron correlated spectra of non-sequential double ionization below laser-intensity threshold are known to exhibit back-to-back scattering of the electrons, viz., the anticorrelation of the electrons. Currently, the widely accepted interpretation of the anticorrelation is recollision-induced excitation of the ion plus subsequent field ionization of the second electron. We argue that another mechanism, namely simultaneous electron emission, when the time of return of the rescattered electron is equal to the time of liberation of the bounded electron (the ion has no time for excitation), can also explain the anticorrelation of the electrons in the deep below laser-intensity threshold regime. Our conclusion is based on the results of the numerical solution of the time-dependent Schr\"{o}dinger equation for a model system of two one-dimensional electrons as well as an adiabatic analytic model that allows for a closed-form solution.Comment: 6 pages and 3 figure

Free Boundary Poisson Bracket Algebra in Ashtekar's Formalism

We consider the algebra of spatial diffeomorphisms and gauge transformations in the canonical formalism of General Relativity in the Ashtekar and ADM variables. Modifying the Poisson bracket by including surface terms in accordance with our previous proposal allows us to consider all local functionals as differentiable. We show that closure of the algebra under consideration can be achieved by choosing surface terms in the expressions for the generators prior to imposing any boundary conditions. An essential point is that the Poisson structure in the Ashtekar formalism differs from the canonical one by boundary terms.Comment: 19 pages, Latex, amsfonts.sty, amssymb.st

Studies of Immunobiological Properties in <i>Francisella tularensis</i> Vaccine Strain 15 NIIEG under Extended Storage Conditions

Investigated have been 8 cultures of Francisella tularensis strain 15 NIIEG (lyophilized in 1953, 1966, 1969, 1987, 1990, 2003, 2012, and 2013, respectively) stored at the State Collection of Microorganisms of the Scientific Center on Expertise of Medical Application Products. It is established that the majority of cultures has maintained their immunobiological properties. However, it is of note that liophilization does not prevent F. tularensis strain 15 NIIEG from changes in its residual virulence under extended storage. Revealed is the fact that LD50 for 7 cultures of tularemia microbe strain is within the limits of 100-250 microbial cells (m.c.). At the same time, residual virulence for the strain which dates back 1966 is 7.3·105 m.c. Immunogenic activity rates in F. tularensis 15 NIIEG strain cultures range within specified limits. Apart from this, F. tularensis 1987 strain does not comply with the established requirements to the “specific safety”, as subcutaneous inoculation with 5·109 m.c./ml caused death of Guinea pigs within the scheduled observation time. Demonstrated is the necessity in maintaining constant stability of the original immunobiological properties in Francisella tularensis strain 15 NIIEG under extended storage conditions

Dynamics of quantum systems

A relation between the eigenvalues of an effective Hamilton operator and the poles of the $S$ matrix is derived which holds for isolated as well as for overlapping resonance states. The system may be a many-particle quantum system with two-body forces between the constituents or it may be a quantum billiard without any two-body forces. Avoided crossings of discrete states as well as of resonance states are traced back to the existence of branch points in the complex plane. Under certain conditions, these branch points appear as double poles of the $S$ matrix. They influence the dynamics of open as well as of closed quantum systems. The dynamics of the two-level system is studied in detail analytically as well as numerically.Comment: 21 pages 7 figure

Hadronic Regge Trajectories: Problems and Approaches

We scrutinized hadronic Regge trajectories in a framework of two different models --- string and potential. Our results are compared with broad spectrum of existing theoretical quark models and all experimental data from PDG98. It was recognized that Regge trajectories for mesons and baryons are not straight and parallel lines in general in the current resonance region both experimentally and theoretically, but very often have appreciable curvature, which is flavor-dependent. For a set of baryon Regge trajectories this fact is well described in the considered potential model. The standard string models predict linear trajectories at high angular momenta J with some form of nonlinearity at low J.Comment: 15 pages, 9 figures, LaTe

Characteristics of Phenotypic and Genetic Properties of <i>Francisella tularensis</i> 15 NIIEG Vaccine Strain with an Extended Storage Period

Investigated have been cultural-morphological, biochemical and genetic properties of lyophilized cultures of F. tularensis 15 NIIEG vaccine strain, accumulated within 60-years term and deposited at the State Collection of Pathogenic Microorganisms of Scientific Center on Expertise of Medical Application Products. The studies undertaken have demonstrated that storing of the strains in such a form at low temperatures, does not prevent changes of their genetic and phenotypic properties to the full extent. It is established that F. tularensis 15 NIIEG strain lyophilized in 1953, 1966, 1969, 2003 and 2012 maintains its immunogenic properties when cultivated on nutrient media Ft-agar with or without addition of blood, based on dissociation rates (87-99 %) of SR-colonies. While F. tularensis 15 NIIEG strain 1990 contains specified amounts (not less than 80 %) of immunogenic colonies if cultivated on nutrient media with the addition of blood, and fails to meet the requirements - if cultivated without. Identified in F. tularensis 15 NIIEG strain 1987 SR-colony decrement of 70-75 % in case of cultivation with or without addition of blood testifies to the deterioration of its immunogenic properties. RAPD and ERIC typing has showed high stability of the genome of F. tularensis 15 NIIEG cultures lyophilized at different times. Tularemia microbe vaccine strain has unique RAPD and ERIC profiles, insignificant alteration of which is observed upon storage of pathogen subculture in the dried from

STUDY OF MINIMAL RESIDUAL DISEASE BY MULTICOLOR FLOW CYTOMETRY IN MULTIPLE MYELOMA AFTER AUTOLOGOUS HEMATOPOIETIC STEM CELL TRANSPLANTATION

The frequency of achieving complete remission, as well as overall and disease-free survival, in multiple myeloma (MM) had increased due to introduction in MM treatment regimens of high-dose chemotherapy with following autologous hematopoietic stem cell transplantation (ASCT). However the number of relapses remains high, caused by persistence of residual tumor cells, i.e., the presence of minimal residual disease (MRD). One of the methods for MRD study is multicolor flow cytometry (MFC) where abnormal expression of surface antigens on myeloma plasma cells (PC) is determined. The aim of our study was to investigate the MRD by MFC before and after ASCT, the frequency of MRD-negative status achievement in complete remission (CR) patients at +100 days after ASCT and the frequency of abnormal expressed antigens on myeloma plasma cells. The study included40 MMpatients in CR at +100 days after ASCT and showed that the most common aberrations of PC were: abnormal absence of CD19 and/or CD27, decreased expression of CD38 and abnormal presence of CD56. The proportion of myeloma PCs from all bone marrow cells decreased significantly after ASCT: 20 % of patients acquired MRD-negative status, 10 % had a decrease in the number of abnormal PCs by one fold. Analysis of probability of immunochemical relapse showed that the worst prognosis was in patients with MRD-positive status before and after ASCT. During the MRD monitoring within 3-18 months, MRD-relapses were detected with the subsequent development of immunochemical relapse. The detection MRD in the dynamics is more informative than the study at only one step of therapy. It may help to select more adequate treatment for patient with multiple myeloma in each specific case