Generalized Semi-Infinite Programming: on generic local minimizers

In this paper a basic structural problem in Generalized Semi-Infinite Programming is solved. In fact, under natural and generic assumptions we show that at any (local) minimizer the “Symmetric Reduction Ansatz” holds.      

A conjecture on the stability of the periodic solutions of Ricker’s equation with periodic parameters

In this work, we propose a conjecture about the stability of the periodic solutions of the Ricker equation with periodic parameters, which goes beyond the existing theory, and for the special case of period-two parameters we analytically show the conjecture is true. For this case we show that the stability region in parameter space obtained from the conjecture is larger than a previously proposed stability region. The period-three case is investigated numerically and similar extensions are realized. This suggests that the current theory cited in this paper, while giving sufficient conditions for stability is far from optimal.     

Natural product hybrids as new leads for drug discovery

Natural products play an important role in the development of drugs, especially for the treatment of infections and cancer, as well as immunosuppressive compounds. However, the number of natural products is limited, whereas millions of hybrids as combinations of parts of different natural products can be prepared. This new approach seems to be very promising in the development of leads for both medicinal and agrochemical applications, as the biological activity of several new hybrids exceeds that of the parent compounds. The advantage of this concept over a combinatorial chemistry approach is the high diversity and the inherent biological activity of the hybrids.     

Principle and analytical applications of resonance lonization mass spectrometry

Resonance ionization mass spectrometry (RIMS) is a very sensitive analytical technique for the detection of trace elements. This method is based on the excitation and ionization of atoms with resonant laser light followed by mass analysis. It allows element and, in some cases, isotope selective ionization and is applicable to most of the elements of the periodic table. A high selectivity can be achieved by applying three step photoionization of the elements under investigation and an additional mass separation for an unambiguous isotope assignment.An effective facility for resonance ionization mass spectrometry consists of three dye lasers which are pumped by two copper vapor lasers and of a linear time-of-flight spectrometer with a resolution better than 2500. Each copper vapor laser has a pulse repetition rate of 6.5 kHz and an average output power of 30 W.With such an apparatus measurements with lanthanide-, actinide-, and technetium-samples have been performed. By saturating the excitation steps and by using autoionizing states for the ionization step a detection efficiency of 4 × 10^–6 and 2.5 × 10^–6 has been reached for plutonium and technetium, respectively, leading to a detection limit of less than 10⁷ atoms in the sample. Measurements of isotope ratios of plutonium samples were in good agreement with mass-spectrometric data. The high elemental selectivity of the resonance ionization spectrometry could be demonstrated.Presented in part at the 1989 European Winter Conference on Plasma Spectrochemistry, Reutte, Austria     

Continuous-flow protease assay based on fluorescence resonance energy transfer

A homogeneous continuous-flow assay using fluorescence resonance energy transfer (FRET) for detection was developed to measure the hydrolysis of HIV Protease Substrate 1 (to which two choromophores, EDANS and DABCYL are covalently attached) by a protease (e.g. Subtilisin Carlsberg) and the influence of inhibitors. In the continuous-flow assay, an inhibitor solution and an enzyme solution were first eluted into the system and allowed to react with each other in a reaction coil. Subsequently, the substrate solution was added to an enzyme-inhibitor mixture in a second reaction coil and incubated for 1 min. Finally, the fluorescence intensity was monitored.The system was also utilized to measure the inhibition of the protease by two weak acidity inhibitors which are 4-(2-aminoethyl)benzenesulfonyl fluoride hydrochloride (AEBSF) and ethylenediaminetetraacetic acid (EDTA). Using the obtained optimum conditions for AEBSF, a detection limit of 0.3 mmol/l was achieved and the relative standard deviation was below 3.7% in the 2.5-7.5 mmol/l range. For EDTA, which required a 20 times higher substrate concentration than AEBSF, a detection limit of 0.2 mmol/l was obtained and the relative standard deviation was below 9.6% in the 0.5-7.5 mmol/l range.The optimization of pH, substrate concentration, enzyme concentration, reaction time and temperature are described. Organic modifier effects were also investigated. Methanol, acetonitrile and DMSO could be tolerated up to 30%.     

Synthesis and self-inclusion of bipyridine-spaced cyclodextrin dimers

The synthesis and conformational behavior of two cyclodextrin dimers containing aromatic bipyridine spacers is presented. The proton NMR spectra of these dimers in aqueous solution show a doubling of signals in the aromatic region due to complete or partial self-inclusion of the spacer. The degree and the strength of self-inclusion is dependent on the substitution pattern of the bipyridine unit. This unexpected difference in the self-inclusion behavior is revealed by 2D NOESY and circular dichroism spectra.