Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients

In this paper the nonlinear stability of two-phase core-annular flow in a pipe is examined when the acting pressure gradient is modulated by time harmonic oscillations and viscosity stratification and interfacial tension is present. An exact solution of the Navier-Stokes equations is used as the background state to develop an asymptotic theory valid for thin annular layers, which leads to a novel nonlinear equation describing the spatio-temporal evolution of the interface. The evolution equation is an extension of the equation found for constant pressure gradients and generalizes the Kuramoto-Sivashinsky equation with dispersive effects found by Papageorgiou, Maldarelli and Rumschitzki, Phys. Fluids A2(3), 340–352 (1990), to a similar system with time periodic coefficients. The distinct regimes of slow and moderate flow are considered and the corresponding evolution is derived. Certain solutions are described analytically in the neighborhood of the first bifurcation point by use of multiple scales asymptotics. Extensive numerical experiments, using dynamical systems ideas, are carried out in order to evaluate the effect of the oscillatory pressure gradient on the solutions in the presence of a constant pressure gradient.Research supported by NATO grant CRG 920097.Research was supported by the National Aeronautics and Space Administration under NASA Contract Nos. NAS1-19480 and NAS1-18605 while the author was in residence at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA 23681; also by grants NATO CRG 920097, and SBR NJIT-93.     

Measurement of insulin sensitivity indices using 13C-glucose and gas chromatography/combustion/isotope ratio mass spectrometry

Important aspects of glucose metabolism can be quantified by using the minimal model of glucose kinetics to interpret the results of intravenous glucose tolerance tests. The power of this methodology can be greatly increased by the addition of stable isotopically labelled tracer to the glucose bolus dose. This allows the separation of glucose disposal from endogenous glucose production and also increases the precision of the estimates of the physiological parameters measured. Until now the tracer of choice has been deuteriated glucose and the analytical technique has been gas chromatography/mass spectrometry (GC/MS). The consequence of this choice is that nearly 2 g of labelled material are needed and this makes the test expensive. We have investigated the use of (13)C-labelled glucose as the tracer in combination with gas chromatography/combustion/isotope ratio mass spectrometry (GC/C/IRMS) as the analytical technique. This methodology offers superior analytical precision when compared with the conventional method and so the amount of tracer used, and hence the cost, can be reduced considerably. Healthy non-obese male volunteers were recruited for a standard intravenous glucose tolerance test (IVGTT) protocol but 6,6-(2)H-glucose and 1-(13)C-glucose were administered simultaneously. Tracer/tracee ratios were derived from isotope ratio measurements of plasma glucose using both GC/MS and GC/C/IRMS. The results of these determinations indicated that the two tracers behaved identically under the test protocol. The combination of these results with plasma glucose and insulin concentration data allowed determination of the minimal model parameters S*g and S*i. The parameter relating to insulin-assisted glucose disposal, S*i, was found to be the same in the two techniques, but this was not the case for the non-insulin-dependent parameter S*g.     

Irreversible enzyme inhibitors. XCI. candidate active-site directed irreversible inhibitors of thymidylate synthetase. II. 2-amino-6-methyl-5-(p-tolylsulfonamidopropyl)-4-pyrimidinols with N-substituents on the sulfonamide moiety

Three derivatives of 2-amino-6-methyl-5-(p-tolylsulfonamidopropyl)-4-pyrimidinol (I) with N - substituents on the sulfonamide group, namely bromoacetamidopropyl (XVI), m-bromoacetamidobenzyl (XXIVa), and p-bromoacetamidobenzyl (XXIVb), were synthesized as candidate active-site-directed irreversible inhibitors of thymidylate synthetase. The bromoacetamidopropyl derivative, (XVI), the p-bromoacetamidobenzyl derivative (XXIVb), and iodoacetamide showed irreversible inhibition of thymidylate synthetase, but XXIVa did not. Since iodoacetamide did inactivate the enzyme, but XXIVa did not, it cannot be ascertained whether XXIVb and XVI inactivate the enzyme by a random bimolecular mechanism or by the active-site-directed mechanism without evaluation of additional candidate inhibitors. Two synthetic routes were employed. The key intermediates for the bromoacetamidobenzyl sulfonamides (XXIV) were the corresponding nitrobenzyl sulfonamides (XXI); the latter were best prepared by reductive alkylation of 2-amino-5-aminopropyl-6-methyl-4-pyrimidinol (XXV) with a nitrobenzaldehyde followed by tosylation. The key intermediate for XVI was a toluenesulfonamide with a carbobenzoxyaminopropyl substituent on the nitrogen (XIV); the latter was synthesized via N-carbobenzoxy-N'-tosyl-1,3-diaminopropane (XI).     

Measurement of gastric emptying in man using deuterated octanoic acid.

Gamma scintigraphy is considered the gold standard for the measurement of gastric emptying in humans. Recently, it has been proposed that a [(13)C]octanoate breath test can be used as an alternative technique for measuring gastric emptying of the solid phase, but the results from the two methods are not directly equivalent since in the breath test the label is subject to post-absorptive processing and consequently the emptying functions cannot be observed directly. This work investigates an alternative stable isotope method using deuterated octanoate where the kinetics of redistribution between and elimination from the various body pools are much more easily modelled. Gastric emptying was studied in healthy human volunteers by simultaneous measurement using both [(13)C]octanoate and [(2)H]octanoate as well as gamma scintigraphy. Comparison of the gastric emptying functions from the deuterium method and scintigraphy indicated that the two methods gave equivalent results. The new method can therefore be used in populations considered too vulnerable to ionising radiation to allow gamma scintigraphy to be performed, or as a proxy gold standard in laboratories where scintigraphic methods are unavailable, allowing further comparisons with the breath test method to be made to validate the latter in different population groups.     

Synthesis of 5-fluoro N-acetylglucosamine glycosides and pyrophosphates via epoxide fluoridolysis: versatile reagents for the study of glycoconjugate biochemistry

Numerous carbohydrate-processing enzymes facilitate catalysis via stabilization of positive charges on or near the C-1, C-4, C-5, or C-6 positions. Substrate analogues differing only in the substitution of a fluorine for the axial C-5 hydrogen would possess reduced electron density at these positions and could be useful mechanistic probes of these enzymes. Introduction of this 5-fluoro substituent after radical halogenation was problematic because of the incompatibility of many protecting groups to the radical halogenation and the instability of the subsequent 5-fluoro hexosamines. Thus, to allow easy access to a wide variety of 5-fluoro glycosides and glycosyl phosphates, a versatile method for the introduction of the 5-fluoro group has been developed, the key step being the fluoridolysis of C-5, 6 epoxides. By use of this method, two fluorinated carbohydrates, uridine 5'-diphospho-5-fluoro-N-acetylglucosamine and octyl 5-fluoro-N-acetylglucosamine, have been synthesized. Initial biochemical investigations of these compounds show that 5-fluoro analogues are useful probes of transition-state charge development in several enzyme-catalyzed reactions.     

Intercalation of Toluidines into α-Zirconium Hydrogenphosphate

Intercalates of o-, m-, and p-toluidine into α-Zr(HPO₄)₂ · H₂O were prepared and characterized by powder X-ray diffraction, thermogravimetric analysis and infrared spectroscopy. As follows from IR, toludine molecules are protonated in the interlayer space. Toluidine molecules are arranged in a bimolecular way in the intercalates containing more than 1.5 toluidine molecules per Zr atom. On the other hand, a monolayer of the toluidine molecules is supposed in the intercalates with less than one toluidine molecule per Zr atom.