Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups

We give a self-contained and streamlined exposition of a generation theorem for C0-semigroups based on the method of boundary triplets. We apply this theorem to port-Hamiltonian systems where we discuss recent results appearing in stability and control theory. We give detailed proofs and require only a basic knowledge of operator and semigroup theory.Comment: 19 page

PHARMACOECONOMICAL RESEARCH OF THE USE OF SORAFENIB IN MALIGNANT TUMORS

Purpose. Pharmacoeconomic rationale for the use of sorafenib in malignant tumors in comparison with drugs that are included in the list of pharmaceuticals to provide to certain categories of citizens.Method of the study. Pharmacoeconomic rationale for the use of sorafenib in this study is made by analyzing the impact on the budget. The calculated costs of treatment with sorafenib at a hypothetical group of 100 patients with metastatic renal cell carcinoma (MRCC), hepatocellular carcinoma (HCC) and differentiated thyroid cancer resistant to radioactive iodine (DCT). These costs were compared with costs of treatment of a similar group of 100 patients, with treatment of MRCC applied bevacizumab (original or generic) in combination with interferon α, and patients with HCC and DCT were excluded from receiving drugs from a program of providing with necessary medicines (PNM). As a result the potential economic effect of the inclusion of sorafenib in the list of PNM was calculated.Results. Treatment of MRCC is cheaper with the use of sorafenib compared to bevacizumab in combination with interferon α: savings is 592 878 rubles in the original use of bevacizumab and 274 976 rubles in the use of generic bevacizumab for one patient-year. If we use sorafenib in a group of 100 people with MRCC, HCC and DCT suitable for treatment with sorafenib, the overall expenses are more than 175 million rubles, while using the original combination of bevacizumab with interferon α – more than 204 million rubles, and in the application of the generic combination of bevacizumab with interferon α – more than 176 million rubles, while in the two last cases the treatment of patients with HCC and DCT is not carried out. The total amount of annual budget savings in the treatment of 100 patients is more than 28.5 million rubles at the account of original of bevacizumab or more than 1 million rubles in accounting of generic bevacizumab.Conclusion. The inclusion of the targeted drug sorafenib in the list of pharmaceuticals to provide certain categories of citizens is economically justified. The use of sorafenib, instead of the combination of bevacizumab + interferon-α in patients with MRCC gives us the opportunity to release the funds and provide a systemic treatment of patients with other malignancies (HCC, DCT) while reducing the burden on the budget

Molecular structure and properties of κ-carrageenan-gelatin gels

© 2018 Elsevier Ltd Rheological studies, FTIR spectroscopy and a molecular docking approach were used to explore the structural basis of the peculiar physicochemical properties of gelatin gels modified with a κ-carrageenan admixture. Mixed gel properties are affected by the polysaccharide-to-gelatin ratio, Z, and can be divided into two categories. At low ratios, the strength of mixed gels varies insignificantly compared to gelatin due to the similar structures of the gels. Above the threshold content of κ-carrageenan (Z > 0.1), the storage modulus and yield stress of mixed gels are significantly enhanced. The nonadditivity and threshold character of the rheological properties could be the result of conformational ordering of both gelatin and κ-carrageenan, leading to the formation of additional junction zones in the gel network. According to molecular docking studies, the junctions could be formed as a result of complementary interactions between the gelatin triple helix and the κ-carrageenan double helix. The stack formation increases the interaction energy, which explains the strengthening of the gel network

Biopolymer-based structuring of liquid oil into soft solids and oleogels using water-continuous emulsions as templates

Physical trapping of a hydrophobic liquid oil in a matrix of water-soluble biopolymers was achieved using a facile two-step process by first formulating a surfactant-free oil-in-water emulsion stabilized by biopolymers (a protein and a polysaccharide) followed by complete removal of the water phase (by either high- or low-temperature drying of the emulsion) resulting in structured solid systems containing a high concentration of liquid oil (above 97 wt %). The microstructure of these systems was revealed by confocal and cryo-scanning electron microscopy, and the effect of biopolymer concentrations on the consistency of emulsions as well as the dried product was evaluated using a combination of small-amplitude oscillatory shear rheometry and large deformation fracture studies. The oleogel prepared by shearing the dried product showed a high gel strength as well as a certain degree of thixotropic recovery even at high temperatures. Moreover, the reversibility of the process was demonstrated by shearing the dried product in the presence of water to obtain reconstituted emulsions with rheological properties comparable to those of the fresh emulsion

The UTfit Collaboration Average of D meson mixing data: Spring 2012

We derive constraints on the parameters $M_{12}$, $\Gamma_{12}$ and $\Phi_{12}$ that describe $D$ meson mixing using all available data, allowing for CP violation. We also provide posterior distributions and predictions for observable parameters appearing in $D$ physics.Comment: 5 pages, 3 figure

Primary pulmonary meningioma: review of the literature

This review presents the data of foreign literature describing primary pulmonary meningioma – a variant of ectopic meningiomaВ данном обзоре представлены данные зарубежной литературы (отечественные отсутствуют), описывающие первичную менингиому лёгкого – вариант эктопической менингиом

A Survey on the Krein-von Neumann Extension, the corresponding Abstract Buckling Problem, and Weyl-Type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains

In the first (and abstract) part of this survey we prove the unitary equivalence of the inverse of the Krein--von Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, strictly positive operator, $S\geq \varepsilon I_{\mathcal{H}}$ for some $\varepsilon >0$ in a Hilbert space $\mathcal{H}$ to an abstract buckling problem operator. This establishes the Krein extension as a natural object in elasticity theory (in analogy to the Friedrichs extension, which found natural applications in quantum mechanics, elasticity, etc.). In the second, and principal part of this survey, we study spectral properties for $H_{K,\Omega}$, the Krein--von Neumann extension of the perturbed Laplacian $-\Delta+V$ (in short, the perturbed Krein Laplacian) defined on $C^\infty_0(\Omega)$, where $V$ is measurable, bounded and nonnegative, in a bounded open set $\Omega\subset\mathbb{R}^n$ belonging to a class of nonsmooth domains which contains all convex domains, along with all domains of class $C^{1,r}$, $r>1/2$.Comment: 68 pages. arXiv admin note: extreme text overlap with arXiv:0907.144

First Observation of CP Violation in B0->D(*)CP h0 Decays by a Combined Time-Dependent Analysis of BaBar and Belle Data

We report a measurement of the time-dependent CP asymmetry of B0->D(*)CP h0 decays, where the light neutral hadron h0 is a pi0, eta or omega meson, and the neutral D meson is reconstructed in the CP eigenstates K+ K-, K0S pi0 or K0S omega. The measurement is performed combining the final data samples collected at the Y(4S) resonance by the BaBar and Belle experiments at the asymmetric-energy B factories PEP-II at SLAC and KEKB at KEK, respectively. The data samples contain ( 471 +/- 3 ) x 10^6 BB pairs recorded by the BaBar detector and ( 772 +/- 11 ) x 10^6, BB pairs recorded by the Belle detector. We measure the CP asymmetry parameters -eta_f S = +0.66 +/- 0.10 (stat.) +/- 0.06 (syst.) and C = -0.02 +/- 0.07 (stat.) +/- 0.03 (syst.). These results correspond to the first observation of CP violation in B0->D(*)CP h0 decays. The hypothesis of no mixing-induced CP violation is excluded in these decays at the level of 5.4 standard deviations.Comment: 9 pages, 2 figures, submitted to Physical Review Letter