Lattice-free sets,multi-branch split disjunctions,and mixed-integer programming

In this paper we study the relationship between valid inequalities for mixed-integer sets, lattice-free sets associated with these inequalities and the multi-branch split cuts introduced by Li and Richard (Discret Optim 5:724–734, 2008). By analyzing $n$ -dimensional lattice-free sets, we prove that for every integer $n$ there exists a positive integer $t$ such that every facet-defining inequality of the convex hull of a mixed-integer polyhedral set with $n$ integer variables is a $t$ -branch split cut. We use this result to give a finite cutting-plane algorithm to solve mixed-integer programs. We also show that the minimum value $t$ , for which all facets of polyhedral mixed-integer sets with $n$ integer variables can be generated as $t$ -branch split cuts, grows exponentially with $n$ . In particular, when $n=3$ , we observe that not all facet-defining inequalities are 6-branch split cuts.     

Vinyl Polymerization Initiated by Peroxydiphosphate. IV. Polymerization of Acrylonitrile Initiated by Peroxydiphosphate-Thioacetamide Redox System

Abstract

The kinetics of the aqueous polymerization of acrylonitrile initiated by the peroxydiphosphate-thioacetamide redox system was investigated at 35, 40, and 50°C. The rates of polymerization were measured at different concentrations of oxidant, activator, and monomer. Peroxydiphosphate alone did not initiate polymerization under deaerated and undeaerated conditions. Addition of certain water-miscible organic solvents and neutral salts depress the rate and conversion. On the basis of experimental observations of the dependence of the rate of polymerization on various variables, a suitable kinetic scheme has been proposed.     

Radiolanthanide-labeled HA particles in the treatment of rheumatoid arthritis: ready-to-use cold kits for rapid formulation in hospital radiopharmacy

Hydroxyapatite (HA) [Ca₁₀(PO₄)₆(OH)₂] particles radiolabeled with a variety of β^? emitting lanthanide radionuclides and also pseudolanthanide ⁹⁰Y have been proposed for the treatment of arthritis. A ready-to-use cold kit of HA particles (1–10 µm size) was developed for fast and convenient formulation of radiolanthanide-labeled HA particles at hospital radiopharmacy. Six radionuclides namely, ¹⁶⁹Er, ¹⁷⁷Lu, ¹⁵³Sm, ¹⁶⁶Ho, ¹⁴²Pr and ⁹⁰Y, having β^? emissions of a wide range of energy [E_β(max) = 0.34–2.28 MeV] were identified and produced by thermal neutron activation. Clinical doses of HA particles labeled with these radionuclides were prepared in high yield (>97 %) and radiochemical purity (>99 %) using the cold kits. Pre-clinical studies of ¹⁷⁷Lu–HA carried out in Wistar rats bearing arthritis in knee joints revealed no leakage of the activity from the joints. In preliminary clinical investigation using 333 ± 46 MBq doses of the same preparation, significant improvement in the disease conditions was reported in patients with chronic rheumatoid arthritis of knee joints.     

Dielectrophoretic separation of micron and submicron particles: A review

This paper provides an overview on separation of micron and submicron sized biological (cells, yeast, virus, bacteria, etc.) and nonbiological particles (latex, polystyrene, CNTs, metals, etc.) by dielectrophoresis (DEP), which finds wide applications in the field of medical and environmental science. Mathematical models to predict the electric field, flow profile, and concentration profiles of the particles under the influence of DEP force have also been covered in this review. In addition, advancements made primarily in the last decade, in the area of electrode design (shape and arrangement), new materials for electrode (carbon, silicon, polymers), and geometry of the microdevice, for efficient DEP separation of particles have been highlighted.     

Study of microstructure and nanomechanical properties of Zr films prepared by pulsed magnetron sputtering

The present work studies the effect of substrate temperature on the growth characteristics of zirconium films prepared by pulsed magnetron sputtering. Formation of α-phase of zirconium was observed in the temperature range 300-873 K. X-ray diffraction of Zr films revealed predominantly [0 0 1] texture. It is noticed that crystallite size increases with increasing substrate temperature. Hexagonal shaped crystallites seem to grow along the surface normal of the substrate for the films deposited at 773 K. Nanoindentation measurements showed that the hardness of the films is in the range 6-10 GPa. The scratch test indicated that the films deposited at higher substrate temperatures had excellent bonding with the substrate and no significant critical failure was noticed up to an applied load of 20 N.     

Simultaneous Quantification of Aliskiren, Valsartan and Sitagliptin by LC with Fluorescence Detection: Evidence of Pharmacokinetic Interaction in Rats

A sensitive, precise and simple LC method for the simultaneous quantification of aliskiren, valsartan and sitagliptin in rat plasma has been developed and validated. The chromatographic separation was achieved on a C₁₈ column (250 mm × 4.6 mm, 5 μm) maintained at room temperature, using isocratic elution with acetonitrile/20 mM ammonium acetate buffer (35:65, v/v), pH adjusted to 4.85 with glacial acetic acid, and detected using a fluorescence detector. Liquid–liquid extraction of the aliskiren, valsartan and sitagliptin from the rat plasma with t-butyl methyl ether resulted in their high recoveries. LC calibration curves based on the extracts from the rat plasma were linear in the range of 25–2,000 ng mL^?1 for aliskiren and sitagliptin and 50–4,000 ng mL^?1 for valsartan. The limits of quantification were 25 ng mL^?1 for aliskiren and sitagliptin and 50 ng mL^?1 for valsartan. The precision and accuracy of the method were well within the generally accepted criteria for biomedical analysis. The described method was successfully applied to study the pharmacokinetics of aliskiren, valsartan and sitagliptin following oral administration, individually as well as in combination in Sprague–Dawley rats. The results of the study implied the occurrence of pharmacokinetic interaction upon the co-administration of these three drugs.     

Imidazole cobaloximes containing nitro or nitrate

Summary A series of yellow or brown stable cobaloxime complexes containing imidazole and nitro or nitrate groups of general formula [Co(DH)₂(NO₂)(L)] or [Co(DH)₂(H₂O)(L)](NO₃). (DH₂=dimethylglyoxime, imidazole, morpholine or their derivatives) has been synthesized and characterized by elemental analyses, electronic and i.r. spectra, conductance measurements.¹H n.m.r. spectra and thermogravimetric analysis. The ambidentate nitro-groups are unambiguously N-bonded (-NO₂) and the nitrate groups are ionic, as is clear from the i.r. spectra.     

A new octahedral cobalt(III) complex of (1,8)- bis (2-hydroxybenzamido)-3,6-diazaoctane incorporating phenolate-amide-amine coordination: synthesis, X-ray crystal structure, ligand substitution and redox activity with sulfur(IV) and l -ascorbic acid

The octahedral complex, [Co^III(HL)]·9H₂O (H₄L = (1,8)-bis(2-hydroxybenzamido)-3,6-diazaoctane) incorporating bis carboxamido-N-, bis sec-NH, phenolate, and phenol coordination has been synthesized and characterized by analytical, NMR (¹H, ¹³C), e.s.i.-Mass, UV–vis, i.r., and Raman spectroscopy. The formation of the complex has also been confirmed by its single crystal X-ray structure. The cyclic voltammetry of the sample in DMF ([TEAP] = 0.1 mol dm⁻³, TEAP = tetraethylammonium perchlorate) displayed irreversible redox processes, [Co^III(HL)] → [Co^IV(HL)]⁺ and [Co^III(HL)] → [Co^II(HL)]⁻ at 0.41 and −1.09 V (versus SCE), respectively. A slow and H⁺ mediated isomerisation was observed for the protonated complex, [Co^III(H₂L)]⁺ (pK = 3.5, 25 °C, I = 0.5 mol dm⁻³). H₂Asc was an efficient reductant for the complex and the reaction involved outer sphere mechanism; the propensity of different species for intra molecular reduction followed the sequence: [{[Co^III(HL)],(H₂Asc)}–H]⁻ <<< {[Co^III(H₂L)],(H₂Asc)}⁺ < {[Co^III(HL)],(H₂Asc)}. A low value (ca. 3.7 × 10⁻¹⁰ dm³ mol⁻¹ s⁻¹, 25 °C, I = 0.5 mol dm⁻³) for the self exchange rate constant of the couple [Co^III(HL)]/[Co^II(HL)]⁻ indicated that the ligand HL³⁻ with amido (N-) donor offers substantial stability to the Co^III state. HSO₃⁻ and [Co^III(HL)] formed an outer sphere complex {[Co^III(HL)],(HSO₃⁻)}, which was slowly transformed to an inner sphere S-bonded sulfito complex, [Co^III(H₂L)(HSO₃)] and the latter was inert to reduction by external sulfite but underwent intramolecular S^IV → Co^III electron transfer very slowly. Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Synthesis of a new class of carborane-containing star-shaped molecules via silicon tetrachloride promoted cyclotrimerization reactions

Symmetrical star-shaped molecules with carborane clusters on the periphery have been synthesized in good yields via silicon tetrachloride mediated cyclotrimerization reactions of 9-benzyl derivatives of carboranes with acetyl group substitution on the benzene ring. Facile functionalization of these symmetrical core structures with 1-iodoheptane and trivinylchlorosilane produce compounds which could be used as liquid crystalline substances and precursors for synthesis of higher order carbosilane dendrons.