This work contributes to the research devoted to the recognition of a convex body by probabilistic characteristics of its lower-dimensional sections. In this paper, for any convex quadrilateral, five ...orientation-dependent characteristics are introduced and explicitly evaluated per direction. In terms of these characteristics, simple explicit representations of the orientation-dependent chord length distribution function and the covariogram are obtained not only for an arbitrary convex quadrilateral but also for any right prism based on it.
The concept of covariogram is extended from bounded convex bodies in
to the entire space
by obtaining integral representations for the distribution and probability density functions of the Euclidean ...distance between two
-dimensional Gaussian points that have correlated coordinates governed by a covariance matrix. When
, a closed-form expression for the density function is obtained. Precise bounds for the moments of the considered distance are found in terms of the extreme eigenvalues of the covariance matrix.
The use of specific fluorescent dyes is able to reduce the labeled cell structure ionization threshold under the femtosecond laser impact. This feature may be applied in terms of the laser ...nanosurgery of the cell. In this work we use BioTracker Blue dye as a photosensitizer in order to receive an accurate control of cytoplasmic membrane ablation by femtosecond laser and to relief the laser-induced cell fusion. We have found that BioTracker Blue (366/441) increases an efficiency of the 760 and 730 nm laser absorption. However, an increase of absorption efficiency, provided by the BioTracker Blue staining, did not improved the efficiency of the cell fusion in the model systems: pairs of suspended A549 cells, oocytes and their polar bodies, and two-cell embryos.
Artificial cell fusion is a widely used approach in cell biology and biomedicine. Femtosecond laser-induced cell fusion is considered to be a precise and low-invasive tool for the cell fusion. ...However, the percentage of somatic cell fusion remains not very high, and the use of polyethylene glycol is often required. In our research we propose the use of rotating optical chopper to produce ultra-short trains of femtosecond pulses (up to 1 ms) for decreasing the laser impact. It helps to control the appearance and size of gas-vapor bubbles, avoiding cell destruction. We achieved the cell fusion efficiency of 45% without the use of polyethylene glycol, but only in freshly thawed cells. Continuously cultured cells completely failed to fuse.
In this paper, we study the formation and dynamics of cavitation bubbles arising in different zones of preovulatory (GV) mouse oocytes as a result of optical breakdown under the action of femtosecond ...laser pulses with a wavelength of 790 nm. The dynamics of the growth and collapse of the cavitation bubble is determined from the time dependence of the scattered light intensity on the bubble. The difference in the thresholds of optical breakdown and the dynamics of the cavitation bubble between different regions of the oocyte and the aqueous buffer solution is numerically characterized.
We study the asymptotic properties of the trajectories of a discrete-time random dynamical system in an infinite-dimensional Hilbert space. Under some natural assumptions on the model, we establish a ...multiplicative ergodic theorem with an exponential rate of convergence. The assumptions are satisfied for a large class of parabolic PDEs, including the 2D Navier–Stokes and complex Ginzburg–Landau equations perturbed by a non-degenerate bounded random kick force. As a consequence of this ergodic theorem, we derive some new results on the statistical properties of the trajectories of the underlying random dynamical system. In particular, we obtain large deviations principle for the occupation measures and the analyticity of the pressure function in a setting where the system is not irreducible. The proof relies on a refined version of the uniform Feller property combined with some contraction and bootstrap arguments.
Here, we review thematic publications in available literature sources of the databases PubMed, Scopus, Web of Science, eLibrary, 49 of which were dated of the years 19972022. Analysis of such reports ...is aimed at assessing features of cytokine storm-induced hyperinflammatory reaction with signs of immunosuppression accompanied by pronounced lymphopenia and lowered count of CD4+T helpers during severe COVID-19. The prognostic factor for unfavorable prognosis was based on the marker of systemic inflammatory reaction correlating with the disease severity the soluble IL-2 receptor as well as the neutrophil-to-lymphocyte ratio and the lymphocyte subset imbalance. An immunosuppressive therapy of severe forms of COVID-19, aimed at weakening the inflammatory response, exacerbates immune dysfunction by suppressing the T cell function, mainly due to Th1 lymphocytes involved in recognizing and eliminating intracellular pathogens particularly viruses. Upon that, cell-mediated immunity becomes compromised that relies on cytotoxic T-lymphocytes, natural killer cells and macrophages. Timely and targeted immunocorrection is required to prevent or reduce the immunosuppression that accompanies a severe disease course and leads to serious and prolonged complications, as well as to association of secondary infections. In fight against the cytokine storm, it is important not to miss a time point of developing immunosuppressive condition that transitions into immunoparalysis as follows from recent publications covering the tactics of treating immune-mediated complications of coronavirus infection. The review discusses opportunities for immunosuppressive therapy along with glucocorticosteroids and monoclonal antibodies blocking IL-6 or cognate receptors. Studies using mesenchymal stem cells (MSCs) to reduce systemic inflammatory response at COVID-19 are outlined in the review. The use of antigen-specific Treg and their combinations with antagonists of tumor necrosis factor- (TNF), interferon- (IFN) as well as low-dose IL-2 in patients with SARS-CoV-2 infection were analyzed. The prognostic perspectives for CAR-T cells and CAR-NK cells technology have been considered as novel therapeutic approaches aimed at training effector cells to recognize the surface SARS-CoV-2 virus spike-like (S) protein. The feasibility of a therapeutic approach is also emphasized by comparatively analyzed of efficacy of using IL-7 or IL-15 during lymphopenia in patients with COVID-19. Here, side effects complicating immunocorrection come to the fore. Critical evaluation of corrected immunosuppressive conditions in patients with COVID-19 in the post-COVID-19 period by using low-dose IL-2 therapy revealed its ability to repair cellular immune response. As a result, a low-dose IL-2 therapy is recommended as a cytokine replacement therapy in such patients with COVID-19 during hyper-to-hypo-inflammatory phase transition in immune response.
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