Stability of translating solutions to mean curvature flow

We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain convergence for large times to that soliton without imposing any decay rates. The authors are members of SFB 647/B3 “Raum – Zeit – Materie: Singularity Structure, Long-time Behaviour and Dynamics of Solutions of Non-linear Evolution Equations”.     

CHARGE TRANSFER ACROSS PIGMENTED BILAYER LIPID MEMBRANE AND ITS INTERFACES

Abstract— The technique of forming bilayer lipid membranes (BLM) has made it possible to study photoreactions of pigments in an environment that is much closer to those in photosynthetic and visual membranes. A pigmented BLM system with Mg²⁺-porphyrins as membrane-bound pigments and with ferricyanide and ferrocyanide as the aqueous electron acceptor and donor, respectively, was used to illustrate the photoelectric effects due to coupled interfacial charge transfer reactions.
The steady-state continuous photoresponse was studied by means of the voltage clamp method and a null current method. The independence of the pigment conductance channel and the ionic conductance channel was demonstrated. A tunable voltage clamp method was used to study the transient pulsed photoresponses. Such a measurement permits us to characterize the photosystem in terms of an equivalent circuit model which contains a novel chemical capacitance. Molecular interpretation of this equivalent circuit model was given.
A microscopic model based on the Gouy–Chapman theory and chemical kinetics calculation leads to an equivalent circuit which is also equivalent to the previous one. Generalization of this microscopic model further leads to a physical mechanism of the generation of the early receptor potential (ERP) in visual membranes. Relevance of pigmented BLM research to photosynthesis and other disciplines was also discussed.     

Mass-spectrometric studies on alkylated 6-thiopurines

6-Thiopurine and its N- or C-alkyl derivatives all form an [M – 1]-ion upon fragmentation. In the 7-alkyl derivatives, this ion represents the major component of the spectrum. This is ascribed to formation of a five-membered thiazoline-like ring. Similar ring formation stabilises the [M – 1]-ion in the 7-methyl derivatives of hypoxanthine, adenine and 6-selenopurine.     

The synthesis of shihunine and related compounds from ortho-carboxyphenyl cyclopropyl ketone

Reaction of dicyclopropyl cadmium and phthalic acid monochloride monomethyl ester gives o-carboxyphenyl cyclopropyl ketone (2). Reaction of the methyl ester of 2 with methylamine gives 2 - methyl - 3 - hydroxy-3-cyclopropyl-1-isoindolinone (4b), which is converted by hydrogen halides in chloroform to the rearranged homoallylic halides 5a–c. Thionyl chloride in chloroform converts 2 to 3-(3-chloropropylidene) phthalide (7) which upon reaction with methylamine gives isoshihunine (8). Heating of keto acid 2 with aniline leads to N-phenyl-N-norshihunine (9), while upon heating of 2 with methylamine spiro [(1 - methylpyrrolidine) - 2 - 3′ - (2′ - methyl - 1′ - isoindolinone)] (10) is obtained. 10 is converted to shihunine (1) by 48% HBr solution. The mechanisms of the reactions are discussed.     

Correction to scaling for directed branched polymers (lattice animals)

Correction to scaling effects for the directed branched polymer (lattice animal) problem are calculated both from the field theoretic model due to Day and Lubensky (dynamics at the Yang-Lee edge singularity) and enumeration data. The universal correction to scaling exponent for the number of distinct animal configurations is estimated by numerical methods and field theoretic renormalization group results (=7–d expansion) extrapolated to exact results ford=2 andd=3; estimates of nonuniversal amplitudes are included.     

Zur gas-chromatographisch-massenspektrometrischen Bestimmung von Steroidhormonen in Körperflüssigkeiten unter Verwendung eines Multiple Ion Detectors (Fragmentographie)

The quantitative determination of small amounts of steroids in body fluids by physical-chemical methods (gas chromatography, double isotope derivative dilution) requires a considerable amount of time and effort. The use of the combination gas chromatography-mass spectrometry provides a simple method which is highly specific and sensitive. The mass spectrometer can be used as a specific detector for gas chromatography; this is achieved by adjusting to a suitablem/e value. By means of the multiple ion detector, it is possible to record several masses simultaneously. The applicability of this method is demonstrated by the determination of the following steroid hormones: testosterone in plasma, aldosterone in urine, oestradiol-17β and oestrone in plasma. For the determination of oestrogens, the use of the corresponding dideutero compounds as standards offers a special advantage. Preliminary experiments showed that the lower limits of detection are 1 ng for aldosterone and testosterone, and 0.05 ng for oestradiol-17β and oestrone.