Corrigendum to Simple-Direct-Modules

In this note we fix a gap in the proof of (7)?(1) of Theorem 4.3 in the paper “Simple-Direct-Modules, Communications in Algebra, Vol. 45 (2017), 3643–3652”.     

A bicriteria m-machine flowshop scheduling with sequence-dependent setup times

In this study, a bicriteria m-machine flowshop scheduling with sequence-dependent setup times is considered. The objective function of the problem is minimization of the weighted sum of total completion time and makespan. Only small size problems with up to 6 machines and 18 jobs can be solved by the proposed integer programming model. Also the model is tested on an example. We also proposed three heuristic approaches for solving large jobs problems. To solve the large sizes problems up to 100 jobs and 10 machines, special heuristics methods is used. Results of computational tests show that the proposed model is effective in solving problems.     

Derivations and right ideals of algebras

Let R be a K-algebra acting densely on V_D, where K is a commutative ring with unity and V is a right vector space over a division K-algebra D. Let ρ be a nonzero right ideal of R and let f(X₁,…,X_t) be a nonzero polynomial over K with constant term 0 such that μR≠0 for some coefficient μ of f(X₁,…,X_t). Suppose that d:R→R is a nonzero derivation. It is proved that if rankd(f(x₁,…,x_t))?m for all x₁,…,x_t∈ρ and for some positive integer m, then either ρ is generated by an idempotent of finite rank or d=ad(b) for some b∈End(V_D) of finite rank. In addition, if f(X₁,…,X_t) is multilinear, then b can be chosen such that rank(b)?2(6t+13)m+2.     

Potential Anticancer Activities and Catalytic Oxidation Efficiency of Platinum(IV) Complex

The treatment of an aqueous acetonitrile solution of chloroplatinic acid hydrate H₂PtCl₆.xH₂O and pyridine-2-carbaldehyde-oxime (paOH) in the presence of potassium thiocyanate at room temperature (25°) led to the formation of a new Pt(IV) complex with the formula [Pt(SCN)₂(paO)₂], (1). Complex 1 was fully characterized by FT-IR, UV-vis and NMR spectroscopic techniques as well as elemental analysis. The crystallographic structure of complex 1 was obtained by single-crystal X-ray diffraction. The structure of complex 1 consists of a distorted octahedral geometrical environment around the platinum center in which the coordination sites are occupied by two terminal thiocyanate ligands in trans arrangement and two bidentate paO ligands through four nitrogen atoms. In addition, the in vitro evaluation of the cytotoxicity of platinum complex 1 against four different cancer cell lines was performed. The IC₅₀ values for colon (HCT116), liver (HepG2), breast (MCF-7) and erythroid (JK-1) treated with complex 1 are 19 ± 6, 21 ± 5, 22 ± 6, and 13 ± 3 μM, respectively. In HCT116 cells treated with the IC50 dose of our title compound, apoptosis and necrosis were increased by 34% and 27.8%, respectively. Cells halted in the proliferative phase (S phase) to 21.7 % and 29.8% in HCT116 and HepG2 cells treated with complex 1 have anti-proliferative actions. Furthermore, the catalytic activity of synthesized complex 1 was examined in the oxidation reaction of benzyl alcohols in the presence of an oxidant. Finally, the luminescence behavior of complex 1 was investigated.     

Subclasses of p-valent functions of bounded boundary rotation involving the generalized fractional differintegral operator

We introduce certain subclasses of p-valent functions of bounded boundary rotation involving the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.     

Determination of enantiomers of atenolol and propranolol in pharmaceutical formulations by HPLC

A validated HPLC-UV method was developed for the determination of R(-), S(+)-atenolol and R(-), S(+)-propranolol in pharmaceutical formulations. The proposed method required no elaborate sample preparation and was found to be selective, linear, and repeatable within the established ranges. Atenolol and propranolol isomers were separated using a Chirex 3022 (S) column with the mobile phases hexane-dichloromethane-methanol-trifluoroacetic acid (35 + 35 + 5 + 0.25, v/v/v/v) and hexane-dichloromethane-ethanol-trifluoroacetic acid (55 + 40 + 5 + 0.25, v/v/v/v), respectively. The LOD values of R(-) and S(+)-atenolol were 12.3 and 9.86 microg/mL, respectively, and 0.61 and 0.89 microg/mL, respectively, for R(-) and S(+)-propranolol. Retention times of R(-)-propranolol and S(+)-propranolol were 12.4 and 14.3 min, respectively, and 29.06 and 32.71 min, respectively, for (R)-atenolol and (S)-atenolol. The proposed method was applied to the determination of enantiomers in pharmaceutical formulations, and no interference from any excipients was found.     

Correction to: Novel metal complexes containing 6‑methylpyridine‑2‑carboxylic acid as potent α‑glucosidase inhibitor: synthesis,crystal structures,DFT calculations,and molecular docking

Molecular Diversity -     

A study of oxaliplatin–nucleobase interactions using ion trap electrospray mass spectrometry

Oxaliplatin is an important anti-cancer drug that has been approved for the treatment of colorectal cancer. It is known that oxaliplatin, like other Pt-based drugs, interacts with DNA to form cytotoxic Pt-DNA adducts that disrupt important biological processes such as DNA replication and protein synthesis. Linear ion trap electrospray ionisation mass spectrometry (ESI-MS) was employed to study the interaction of oxaliplatin with DNA nucleobases. It was shown that oxaliplatin formed adducts with all four DNA nucleobases when present individually and in combination in solution. Multiple-stage tandem mass spectrometry (MSⁿ) enabled the fragmentation pathways of each adduct to be established. In addition, proposed structures for each product ion were obtained from the MS data. When all four bases were present together with the drug at near-equal molar concentrations, adducts containing predominantly adenine and guanine were formed, confirming that the drug preferentially binds to these nucleobases. A large molar excess of drug was required to ensure the formation of cytosine and thymine adducts in the presence of adenine and guanine. Even with a large excess of oxaliplatin, only mono-adducts of these nucleobases were observed when all four nucleobases were present. Figure Schematic of a linear ion trap mass spectrometer being used to isolate the diadduct of guanine with oxaliplatin showing the characteristic isotope pattern due to ¹⁹⁴Pt, ¹⁹⁵Pt and ¹⁹⁶Pt.     

Hydrolytic stability of N-methyl-2,6-dimesityl-4,4'-pyrylogen bis-tetrafluoroborate

The synthesis and characterization of a new mesityl ring-substituted pyrylogen with a substantially decreased rate of reaction with water is reported. Computational and experimental data are presented that suggest that addition of water to the pyrylium ring of this highly sterically shielded pyrylogen is reversible. On the other hand, experimental data suggest that the overall hydrolysis of this new sterically shielded pyrylogen, but not the parent pyrylogen, is irreversible. Two potential explanations for this behavior are presented and discussed. These results provide important new information that can be used to design and synthesize new electron transfer sensitizers that can be used even in highly aqueous environments.     

Specific cell-permeable inhibitor of proteasome trypsin-like sites selectively sensitizes myeloma cells to bortezomib and carfilzomib

Proteasomes degrade the majority of proteins in mammalian cells, are involved in the regulation of multiple physiological functions, and are established targets of anticancer drugs. The proteasome has three types of active sites. Chymotrypsin-like sites are the most important for protein breakdown and have long been considered the only suitable targets for antineoplastic drugs; however, our recent work demonstrated that inhibitors of caspase-like sites sensitize malignant cells to inhibitors of the chymotrypsin-like sites. Here, we describe the development of specific cell-permeable inhibitors and an activity-based probe of the trypsin-like sites. These compounds selectively sensitize multiple myeloma cells to inhibitors of the chymotrypsin-like sites, including antimyeloma agents bortezomib and carfilzomib. Thus, trypsin-like sites are cotargets for anticancers drugs. Together with inhibitors of chymotrypsin- and caspase-like sites developed earlier, we provide the scientific community with a complete set of tools to separately modulate proteasome active sites in living cells.