A simple formula for mean multiplexing delay for independent regenerative sources

Simple expressions are given for the mean delay, mean waiting time, and mean busy period length in a multiplexer. Data streams with active periods having a general distribution are permitted, and the data rate during the active periods can be random. Data can also arrive in batches. The key restrictions of the model are that the sources are independent, idle periods are exponentially distributed, and a source generates at least enough data during an active period to keep the server busy throughout the period. The exact formulas allow evaluation of the error in approximations such as a heavy traffic diffusion approximation.Both continuous and discrete time models are considered. The discrete-time model includes that studied by Viterbi and subsequently generalized by Neuts. The Pollaczek-Khinchine formula for the mean amount of work in anM/GI/1 queue is retrieved as a limiting case.Preliminary version presented at IEEE INFOCOM, San Francisco, April 1993.     

Oscillatory and Asymptotic Behavior of Damped Functional Differential Equations

New theorems on the oscillatory and asymptotic behavior of solutions of the damped differential equations with deviating arguments of the form are established.     

The synthesis and reactins of ortho bromophenyllithium

Experimental conditions have now been developed whereby o-bromophenyllithium(II) may be prepared in excellent yields and used as an organometallic intermediate for the synthesis of a variety of ortho bromo substituted phenyl compounds (o-BrC₆H₄X). THe thermal stability, decomposition products and reactions of II wre studied. REactions between II and a variety of substrates, e.g., CO₂, dimethylformamide, fluorinated esters, hexafluorobenzene, and organosilicon chlorides were examined.     

Quantitation and characterization of phospholipids in pharmaceutical formulations by liquid chromatography-mass spectrometry

A simple and fast method for phospholipid analysis was developed using high-performance liquid chromatography-mass spectrometry with an atmospheric pressure ionization interface. Separation of the phospholipid molecular species was achieved using a linear gradient of a mixture of chloroform-10 mM ammonium acetate-methanol (30:5:65) on a silica column. Optimization of the mass spectrometer conditions has allowed the method to separate and detect the phospholipids mainly as protonated molecular species. In comparison to existing LC-MS methods, improvement in the total analysis time and sensitivity were achieved. Separation of all major phospholipid molecular classes was achieved in less than 6 min. Marked improvement was observed in the linearity of the response of the phospholipids studied providing a linear response over three orders of magnitude. Data supporting the validation of this method for the characterization of major phospholipids molecular species are also presented.     

Application of divergent multi-component reactions in the synthesis of a library of peptidomimetics based on γ-amino-α,β-cyclopropyl acids

The multi-component condensation of organozirconocene, aldimine and zinc carbenoid was applied to the stereoselective synthesis of cyclopropane amino acid derivatives. These compounds served as scaffolds for the preparation of a 46-member library. The C- and N-termini of the cyclopropane amino acid derivatives were diversified by condensations with ten amines and ten acylating agents, respectively. To improve yields and accelerate library synthesis, most products were prepared under microwave irradiation and purified by polymer-bound scavengers and SPE methodology. All compounds were analyzed by LC-MS and a representative selection was fully characterized.     

Three-component one-pot total syntheses of glyantrypine, fumiquinazoline F, and fiscalin B promoted by microwave irradiation

A microwave-promoted three-component one-pot reaction has been developed to provide access to the core pyrazino[2,1-b]quinazoline-3,6-dione (1) scaffold, which is common to several families of alkaloids with significant biological activities. By adapting this synthetic strategy through the use of selected Boc-amino acids and amino acid esters, we have accomplished highly efficient and concise total syntheses of glyantrypine (2), fumiquinazoline F (3), and fiscalin B (5), achieving overall yields of 55, 39, and 20%, respectively.     

From knowledge generation to knowledge archive. A general strategy using TOPS-MODE with DEREK to formulate new alerts for skin sensitization

A general strategy for knowledge flow concerning skin sensitization based on the combined use of TOPS-MODE and DEREK expert system is proposed. TOPS-MODE is used as a knowledge generator, while DEREK represents the knowledge archive. A TOPS-MODE classification model allows the identification of structural fragments and groups responsible for strong/moderate skin sensitization. These structural contributions are sorted, analyzed, and graphically displayed in an appropriate way allowing the identification of several structural alerts for skin sensitization. Nine structural alerts already implemented in DEREK are identified using this strategy. They comprise, among others, alkyl halides, aldehydes, alpha,beta-unsaturated compounds, aromatic amines, phenols, hydroquinone, isothiazolinone, and alkyl sulfonates. Four new hypotheses are generated using TOPS-MODE structural contributions to skin sensitization, which are not recognized as structural alerts by DEREK. They include the reduction of aromatic nitro groups and epoxidation reaction of double bonds as metabolic activation steps that can lead to reactive haptens which can trigger the skin sensitization mechanism. Another new alert is based on 1,2,5-thiadiazole-1,1-dioxide for which we have identified a possible mechanism explaining its strong skin sensitization profile. It is based on the existence of a tautomeric equilibrium and further reaction with nucleophiles, which are both supported by experimental evidence. Finally, we have identified a possible new mechanism for the skin sensitization of nonreactive compounds, which involves the formation of noncovalent complexes with proteins in a processing- and metabolism-independent way.     

The role of molecular shape in bilayer elasticity and phase behavior

A previously developed molecular level model for lipid bilayers [G. Brannigan and F. L. H. Brown, J. Chem. Phys. 120, 1059 (2004)] is extended to allow for variations in lipid length and simulations under constant surface tension conditions. The dependence of membrane elasticity on bilayer thickness is obtained by adjusting lipid length at constant temperature and surface tension. Additionally, bilayer fluidity at various lipid lengths is quantified by analysis of a length versus temperature phase diagram at vanishing tension. Regions of solid, gel-like (hexatic) and fluid bilayer behavior are established by identification of phase boundaries. The main melting transition is found to be density driven; the melting temperature scales inversely with lipid length since thermal expansion increases with lipid aspect ratio.     

Etude des métastannates de cadmium par spectrographie d'absorption infrarouge entre 5 et 40μ. Solutions solides entre l'oxyde d'étain et Poxyde de cadmium

Résumé Par chauffage à 1000° de mélanges d'oxyde stannique et d'oxyde de cadmium en proportions diverses, comme par déshydratation de précipités mixtes des hydroxydes correspondants, il se forme une série de solutions solides de l'oxyde de cadmium dans l'oxyde d'étain. Elles sont solubles dans l'acide chlorhydrique et présentent un spectre d'absorption infrarouge caractéristique que l'on a comparé avec celui des 2 métastannates de cadmium CdSnO₃, l'un de type ilménite, l'autre de type perovskite.

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Summary By heating various mixture of stannic oxide and cadmium oxide to 1000° C, a series of solid solutions of cadmium oxide in stannic oxide results as is the case when mixed precipitates of the corresponding hydroxides are dehydrated. They are soluble in hydrochloric acid and yield a characteristic infrared absorption spectrum that was compared with that of the two cadmium métastannates CdSnO₃, one of the ilmenite type, the other of the perovskite type.

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Zusammenfassung Erhitzt man verschieden zusammengesetzte Gemische von Zinnoxid und Cadmiumoxid auf 1000° C oder werden Mischfällungen der entsprechenden Hydroxide dehydratisiert, so entsteht eine Reihe fester Lösungen von Cadmiumoxid in Zinnoxid. Sie sind in Salzsäure löslich und zeigen ein charakteristisches Absorptionsspektrum im IR. Dieses wurde mit dem Spektrum zweier Cadmium-Metastannate (CdSnO₃) vom Typus des Ilmenits bzw. Perovskits verglichen.

     

Immanant positivity for Catalan-Stieltjes matrices

We give some sufficient conditions for the nonnegativity of immanants of square submatrices of Catalan-Stieltjes matrices and their corresponding Hankel matrices. To obtain these sufficient conditions, we construct new planar networks with a recursive nature for Catalan-Stieltjes matrices. As applications, we provide a unified way to produce inequalities for many combinatorial polynomials, such as the Eulerian polynomials, Schröder polynomials, and Narayana polynomials.