Halanay type inequalities on time scales with applications

This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that besides generalization and extension to q-difference case, our results also provide improvements for the existing theory regarding differential and difference inequalities, which are the most important particular cases of dynamic inequalities on time scales.     

Antioxidant, electrochemical, thermal, antimicrobial and alkane oxidation properties of tridentate Schiff base ligands and their metal complexes

In this study, two Schiff base ligands (HL(1) and HL(2)) and their Cu(II), Co(II), Ni(II), Pd(II) and Ru(III) metal complexes were synthesized and characterized by the analytical and spectroscopic methods. Alkane oxidation activities of the metal complexes were studied on cyclohexane as substrate. The ligands and their metal complexes were evaluated for their antimicrobial activity against Corynebacterium xerosis, Bacillus brevis, Bacillus megaterium, Bacillus cereus, Mycobacterium smegmatis, Staphylococcus aureus, Micrococcus luteus and Enterococcus faecalis (as gram-positive bacteria) and Pseudomonas aeruginosa, Klebsiella pneumoniae, Escherichia coli, Yersinia enterocolitica, Klebsiella fragilis, Saccharomyces cerevisiae, and Candida albicans (as gram-negative bacteria). The antioxidant properties of the Schiff base ligands were evaluated in a series of in vitro tests: 1,1-diphenyl-2-picrylhydrazyl (DPPH) free radical scavenging and reducing power activity of superoxide anion radical generated non-enzymatic systems. Electrochemical and thermal properties of the compounds were investigated.     

Cytotoxic and apoptotic effects of Hypericum androsaemum on prostate adenocarcinoma (PC-3) and hepatocellular carcinoma (Hep G2) cell lines with identification of secondary metabolites by LC-HRMS

The study aims to determine the secondary metabolites of Hypericum androsaemum L. extracts by liquid chromatography-high resolution mass spectrometry (LC-HRMS), and investigate the antioxidant and cytotoxic activities of the plant. Cytotoxic activity was evaluated by MTT assay, and apoptosis induction abilities on human prostate adenocarcinoma (PC-3), and hepatocellular carcinoma (Hep G2) cell lines. Accordingly, major secondary metabolites were found as hederagenin (762 ± 70.10 μg/g) in the leaves dichloromethane (LD), herniarin (167 ± 1.50 μg/g) in fruit dichloromethane (FD), (-)-epicatechin (6538 ± 235.36 μg/g) in the leaves methanol (LM), (-)-epigallocatechin gallate (758 ± 20.46 μg/g) in the fruit methanol (FM), and caffeic acid (370 ± 8.88 μg/g) in the fruit water (FW), and (3313 ± 79.51 μg/g) in the leaves water (LW) extracts. LM exerted strong antioxidant activity in DPPH free (IC₅₀ 10.94 ± 0.08 μg/mL), and ABTS cation radicals scavenging (IC₅₀ 9.09 ± 0.05 μg/mL) activities. FM exhibited cytotoxic activity with IC₅₀ values of 73.23 ± 3.06 µg/mL and 31.64 ± 2.75 µg/mL on PC-3 and Hep G2 cell lines, respectively. Being the richest extract in terms of quillaic acid (630 ± 18.9 μg/g), which is a well-known cytotoxic triterpenoid with proven apoptosis induction ability on different cells, FM extract showed apoptosis induction activity with 64.75% on PC-3 cells at 50 μg/mL concentration. The study provides promising results about the potential of Hypericum androsaemum on cancer prevention.     

The Synthesis of New Phthalocyanines Substituted with 12-Membered Diazadioxa Macrocycles

 A macrocyclic diazadioxa dibromo compound was synthesized by ring closure of 1,2-bis-(2-iodoethoxy)-4,5-dibromo-benzene and 1,4-bis-(p-tolylsulfonyl)-ethylenediamine. Its phthalonitrile derivative was obtained by cyano substitution. This diazadioxa macrocyclic dibromo derivative was directly converted into the copper(II) phthalocyanine by reaction with CuCN in tetramethyl urea. Conversion of this phthalonitrile derivative into the metal-free phthalocyanine was accomplished by refluxing with DBU. The zinc(II) phthalocyanine was prepared by reaction of the dinitrile derivative with Zn(OAc)₂ in quinoline. The lutetium bis-(phthalocyaninate) complex was obtained by treating the dinitrile derivative with anhydrous lutetium acetate and DBU in 1-hexanol. The new compounds were characterized by elemental analyses and IR, ¹H NMR, mass, UV/Vis, and ESR spectra.     

The Synthesis of New Phthalocyanines Substituted with 12-Membered Diazadioxa Macrocycles

Summary.  A macrocyclic diazadioxa dibromo compound was synthesized by ring closure of 1,2-bis-(2-iodoethoxy)-4,5-dibromo-benzene and 1,4-bis-(p-tolylsulfonyl)-ethylenediamine. Its phthalonitrile derivative was obtained by cyano substitution. This diazadioxa macrocyclic dibromo derivative was directly converted into the copper(II) phthalocyanine by reaction with CuCN in tetramethyl urea. Conversion of this phthalonitrile derivative into the metal-free phthalocyanine was accomplished by refluxing with DBU. The zinc(II) phthalocyanine was prepared by reaction of the dinitrile derivative with Zn(OAc)₂ in quinoline. The lutetium bis-(phthalocyaninate) complex was obtained by treating the dinitrile derivative with anhydrous lutetium acetate and DBU in 1-hexanol. The new compounds were characterized by elemental analyses and IR, ¹H NMR, mass, UV/Vis, and ESR spectra. Received May 8, 2001. Accepted (revised) June 25, 2001     

Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations

In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form

$$(r_2(t)(r_1(t)(y''(t))^\alpha)')' + p(t)(y''(t))^\alpha + q(t)f(y(g(t))) = 0$$

provided that the second-order equation

$$(r_2(t)z'(t))') + \frac{p(t)}{r_1(t)}z(t) = 0$$

is nonoscillatory or oscillatory.

     

One-step conjugation of glycylglycine with [<Superscript>18</Superscript>F]FDG and a pilot PET imaging study

This study describes a single step conjugation of Glycylglycine (GlyGly) which is a small peptide, with [¹⁸F]FDG via oxime formation. Amiooxy-functionalization of GlyGly (AO-GlyGly) was accomplished through the reaction of Boc-aminooxy succinimide ester. Conjugation reaction was performed at 100 °C for 30 min in a vial containing AO-GlyGly and [¹⁸F]FDG solution. The radiolabeled product ([¹⁸F]FDG-GlyGly) was obtained with 98.65?±?0.35% yield without any purification step which makes this method more attractive for ¹⁸F radiolabeling. The present study is concluded with an in vivo pilot animal PET study to assess biodistribution and kinetics of chemoselectively [¹⁸F]FDG tagged GlyGly in vivo.     

CO-releasing properties and anticancer activities of manganese complexes with imidazole/benzimidazole ligands

Carbon monoxide (CO) is an important signaling molecule which plays significant roles in the pathogenesis of cancer. CO is produced by enzymatic degradation of heme in mammals. Heme oxygenase 1 (HO-1) catalyzes the breakdown of heme into CO, ferrous iron, and biliverdin. CO induces HO-1 and inhibits cell proliferation. Cancer cells exposed to several stress factors (hypoxia, reactive oxygen species, cis-platin, and oxidative stress), and HO-1 displays cytoprotective role against oxidative stress and inhibits apoptosis, metastases, angiogenesis, and cell proliferation processes. Therefore, metal containing CO-releasing molecules (CORMs) have been designed as an effective cancer treatment strategy. CORMs are responsible for releasing controlled amounts of CO to cells and tissues. Thus, we synthesized [Mn(CO)₃(bpy)L]X manganese containing CORMs [bpy = 2,2′-bipyridine, X = hexafluorophosphate (PF₆), trifluoromethanesulfonate (OTf), L = imidazole, methylimidazole, benzimidazole, N-benzylbenzimidazole, N-(4-chlorobenzyl)benzimidazole] to release CO in human invasive ductal breast (MCF-7) cell line. In vitro experiments indicated that the compounds inhibited cell proliferation and exhibited cytotoxic effect on breast cancer cells. Moreover, side groups of the compounds enhanced the anticancer effects in MCF-7 cell line. These manganese containing CORMs gave promising results and may be used as a drug template for effective treatment of invasive ductal breast carcinoma.     

Handling estimated proportions in public sector data envelopment analysis

Periodically data envelopment analysis (DEA) is conducted on values that include estimated proportions, such as defect, satisfaction, mortality, or adverse event rates computed from samples. This occurs frequently in healthcare and public sector analysis where proportions frequently are estimated from partial samples. These estimates can produce statistically biased and variable estimates of DEA results, even as sample sizes become fairly large. This paper discusses several approaches to these problems, including Monte Carlo (MC), bootstrapping, chance constrained, and optimistic/pessimistic DEA methods. The performance of each method was compared using previously published data for fourteen Florida juvenile delinquency programs whose two of three inputs and one output were proportions. The impact of sample size and number of estimated rates also were investigated. In most cases, no statistically significant differences were found between the true DEA scores and the midpoints of optimistic/pessimistic, MC, and bootstrap intervals, the latter two after bias correction. True DEA results are strongly correlated with those produced by the MC (r=0.9865, p<0.001), chance constraint (r=0.9536,p<0.001), bootstrapping (r=0.9368,p<0.001), and optimistic/pessimistic (r=0.6799,p<0.001) approaches. While all methods perform fairly well, the MC approach tends to produce slightly better results and be fairly easy to implement.     

Novel polymeric potassium complex: Its synthesis,structural characterization,photoluminescence and electrochemical properties

In this paper, we obtained a novel poly(vanillinato potassium) complex (PVP) as a single crystal and characterized by analytical and spectroscopic methods. A single crystal of the PVP was obtained from the acetone solution. X-ray structural data show that crystals contain polymeric K⁺ complex of vanillin. Each potassium ion in the polymeric structure is identical and seven-coordinate, bonded to two methoxy, two phenoxy and three aldehyde oxygen atoms from four vaniline molecules. Two aldehyde oxygen atoms are bridging between potassium ions. It crystallizes in the monoclinic system, space group P2₁/c, with lattice parameters a=9.6215(10) Å, b=17.4139(19) Å, c=9.6119(10) Å, β=100.457(2)° and Z=4. Thermal properties of the PVP were investigated by TGA, DTA and DSC methods. The electrochemical properties of the complex were studied in different solvents and at various scan rates. The luminescence properties of the complex in different solvents and at different pH values have been investigated. The results show that the complex exhibits more efficient luminescence property in CH₃CN and n-butanol.