Minkowski Additive Operators Under Volume Constraints

We investigate Minkowski additive, continuous, and translation invariant operators \(\Phi :\mathcal {K}^n\rightarrow \mathcal {K}^n\) defined on the family of convex bodies such that the volume of the image \(\Phi (K)\) is bounded from above and below by multiples of the volume of the convex body K, uniformly in K. We obtain a representation result for an infinite subcone contained in the cone formed by this type of operators. Under the additional assumption of monotonicity or \({{\mathrm{SO}}}(n)\)-equivariance, we obtain new characterization results for the difference body operator.     

Approximate convexity of Takagi type functions

Given a bounded function Φ:R→R, we define the Takagi type function TΦ:R→R by

     

Mechanism of action of anticancer titanocene derivatives: an insight from quantum chemical calculations

Titanocene derivatives exhibit high potential in the treatment of cisplatin-resistant tumor types. Density functional theory calculations were performed on the hydrated form of five drug candidates differing in the pendant arms attached to the aromatic rings. A qualitative correlation has been found between the experimentally measured anticancer activity of alkylammonium-functionalized titanocene derivatives and the computed free energy change of the proton-induced dissociation reaction of these compounds. The results indicate that differences in the cytotoxic activities could be related to the solvation properties of the protolysis products, whereas no correlation was found with gas-phase properties of these molecules. Contrary to the free energy change of the protolysis reaction, other molecular properties, such as the geometrical parameters or the binding energies of the cyclopentadienyl rings in solution, do not correlate with the in vitro cytotoxic activity of these drug candidates.     

14-Noreudesmanes and a phenylpropane heterodimer from sea buckthorn berry inhibit Herpes simplex type 2 virus replication

Two new 14-noreudesmane sesquiterpenes, one new phenylpropane heterodimer, caulilexin C, and uvaol were isolated from the 70% MeOH extract of the fruit peel of Elaeagnus rhamnoides. The structures of the compounds were elucidated by HRESIMS and advanced NMR methods. The absolute configuration of (R)-6,9-dihydroxy-1-oxo-14-noreudesm-5,7,9-triene was determined by the TDDFT-ECD method. The new compounds, together with structurally similar naphthalenes (musizin, musizin-8-O-glucoside, torachrysone-8-O-glucoside) and 1,4-naphthoquinone (2-methylstipandrone), isolated previously from Rumex aquaticus, were investigated for their antiviral activity against Herpes simplex virus type 2 (HSV-2) using two different methods. Applying the traditional virus yield reduction test, (R)-6,9-dihydroxy-1-oxo-14-noreudesm-5,7,9-triene, 1-[3-methoxy-4-(2-methoxy-4-(1E)-propenyl-phenoxy)-phenyl]-propane-1,2-diol, and musizin caused a 2.00 log₁₀, 3.49 log₁₀, and 2.33 log₁₀ reduction of HSV-2 yield, respectively, at a concentration of 12.5?μM. 2-Hydroxy-1-methoxy-6,9-dioxo-14-noreudesm-1,3,5(10),7-tetraene exhibited an antiviral effect at concentration of 50?μM only. Similar results were obtained when the qPCR method was used to test the antiviral activity of the compounds.     

Polymorphic forms of bisoprolol fumarate

Bisoprolol fumarate is a beta blocker-type drug substance which has been well known for several decades. However, no relevant data can be found in the literature about its crystal polymorphism. The purpose of this paper was to present two anhydrous forms (Form I and Form II) and a hydrate of bisoprolol fumarate substance. Crystalline forms were studied by various solid-state analytical methods: Fourier transform infrared (FT-IR) spectroscopy, X-ray powder diffraction (XRPD), dynamic vapor sorption (DVS) and thermoanalytical methods (thermogravimetry and differential scanning calorimetry). Thermodynamic stability and solubility of the presented polymorphs were also investigated. Both FT-IR and XRPD methods were found to be suitable for the characterization of the different crystal structures. Thermoanalytical measurements showed that (1) Form I and Form II own clearly different melting points and (2) both Form II and hydrate forms can transform into Form I at higher temperature values. Results of the DVS measurements prove that both Form I and Form II became metastable under extremely humid conditions (>?80% RH) and converted into the hydrate. Thermodynamic stability studies showed that Form I and Form II polymorphs are in enantiotropic relationship with an enantiotropic point at about 40–45 °C. Solubility studies indicated that all of the prepared forms are highly soluble, and no difference was found between them. Considering the recommendations of the corresponding International Conference of Harmonization guideline, it can be stated that no specification is required for crystal polymorphism in case of this substance.

     

Cysteine-S-trityl a key derivative to prepare N-methyl cysteines

S-Trt Cys are used as precursors for the synthesis of protected NMe-Cys. N-Methylation of Alloc-Cys(Trt)-OH and Boc-Cys(Trt)-OH gives the corresponding N-methylated derivatives in good yields and purities, which can be further derivatized in solution to obtain a myriad of S-protected derivatives. To further broaden the scope of this methodology, the N (alpha)-amino protecting group of the NMe- S-protected Cys can be replaced easily either on the solid phase (from the Alloc precursor) or in solution (from the Boc precursor). Thus, this convenient route allows us to obtain many different protected NMe-Cys, which were of limited accessibility until now.     

Demonstration of a protein with enhanced resistance to proteinase K in transmissible cytopathic condition elicited by cell-free lysate of free-living ameba Naegleria gruberi

The cell-free lysate of free-living amebae Naegleria gruberi and Naegleria fowleri were reported to elicit cytopathic effect in various cell lines that could be indefinitely transmitted by the culture media. The causative agent showed sensitivity to treatments detrimental to proteins while resisted exposures damaging to nucleic acids. Here we demonstrate that subsequent to exposure to N. gruberi lysate mild digestion with proteinase K reveals the presence of a protein band in HeLa cells absent from control cell lines. Though the small quantity of this protein with enhanced resistance to proteinase K relative to the total protein content of the sample has proved to date insufficient for its purification, we suppose that it is a human cellular protein that assumed altered conformation in a prion-like fashion. The conformational conversion could have been trigerred by an ameba protein in the lysate. In addition, we showed that HeLa cells treated with N. gruberi lysate display elevated cathepsin B activity which is assumed to be a secondary response to the accumulation of the proteinase K-resistant protein. We propose that a number of degenerative sequelae following previous microbial infections in mammals could have a similar pathomechanism. Moreover, epidemiological data strongly suggest that natural prion disease in sheep, goat and cervids may also have an etiology linked to prior infection/colonization with a microbe, as it had already been proposed by one of us.     

Photoinduced redox reactions between colloidal manganese dioxide and some organic compounds of environmental importance

Numerous organic compounds of environmental importance, i.e., phenol, citric, tartaric, and oxalic acids, proved to promote or accelerate reductive dissolution of colloidal manganese dioxide upon irradiation. This is accounted for the formation of surface-located charge-transfer complexes between the MnO₂ particulates and the organic electron donors. From the dependences of the rate of the photoassisted and thermal dissolution on the concentration of the organic compounds, the equilibrium constants for the formation of these complexes have been determined in the case of phenol, resorcinol, citrate, and tartaric acid. The quantum yields for these photoinduced reactions (at λ _ir = 365 nm), however, do not show any correlation with the values of the corresponding equilibrium constants, although adsorption is prerequisite for the efficient reductive dissolution of MnO₂. The changes in pH markedly affect the rate of this process, indicating that protonation of both the electron donors and the surface of the MnO₂ particulates may play significant roles in these systems. The results of experiments carried out in manganese dioxide excess suggest that total mineralization of organic electron donors is strongly hindered by the disadvantageous adsorption properties of the primary redox products. Dedicated to Professor Janos H. Fendler on the occasion of his 70th birthday.