Properties of Monodromic Points on Center Manifolds in {\mathbb {R}}^3 via Lie Symmetries

In this work we use Lie symmetries to investigate monodromic points on center manifolds of a singularity of an analytic vector field ${\mathcal {X}}$ in ${\mathbb {R}}^3$ . We investigate how whether the singularity is a focus or a center, is analytically normalizable or not, and is linearizable or not is reflected in the centralizer and normalizer of ${\mathcal {X}}$ .     

Monte Carlo sampling of Wigner functions and surface hopping quantum dynamics

The article addresses the achievable accuracy for a Monte Carlo sampling of Wigner functions in combination with a surface hopping algorithm for non-adiabatic quantum dynamics. The approximation of Wigner functions is realized by an adaption of the Metropolis algorithm for real-valued functions with disconnected support. The integration, which is necessary for computing values of the Wigner function, uses importance sampling with a Gaussian weight function. The numerical experiments agree with theoretical considerations and show an error of 2–3%.     

Evaluation of volatile chlorinated hydrocarbons distribution along depth profiles in the Ross Sea, Antarctica

The presence and the distribution along depth profiles of volatile chlorinated hydrocarbons (VCHCs) were evaluated in seawater samples collected in the Ross Sea (Southern Ocean, Antarctica) during the 2002-2003 Italian expedition. Sampling areas were located where the Circumpolar Deep Water interacts with the shelf waters that supply the Ross Sea.The VCHCs investigated were: 1,1,1-trichloroethane (C₂H₃Cl₃), tetrachloromethane (CCl₄), trichloroethylene (C₂HCl₃), tetrachloroethylene (C₂Cl₄). The analytical procedure consisted of a liquid-liquid extraction carried out with n-hexane directly in Antarctica, followed by gas chromatographic analysis with electron capture detection carried out in Italy.Concentration levels for the VCHCs analysed ranged from digits to hundreds of ng/L according to the station, depth and substance considered. Important differences in concentration levels between the three stations near the Ross Ice Shelf and the two stations located in the Cape Adare area were observed. In particular the stations situated in the Cape Adare zone, at certain depths, showed a thermal inversion due to the mixing of the Circumpolar Deep Water with the waters generated inside the Ross Sea Basin. The lowest concentration levels were recorded at this temperature increase.     

pH-sensitive polymer-assisted refolding of urea-denatured fibroblast growth factor

A pH-responsive polymer Eudragit S-100 has been found to assist in correct folding of FGF-2(fibroblast growth factor-2) denatured with 8 mol/L urea and 10 mmol/L dithiothreitol at pH 7.2.The refolding of FGF-2 was performed by directly diluting denatured FGF-2 into a refolding buffer containing Eudragit S-100.The ability of Eudragit S-100 to enhance protein refolding level was investigated using MTr method,fluorescence emission spectroscopy and reverse phase HPLC.On the other hand,the result shows the ab...     

Activation of Retinoid X Receptor increases dopamine cell survival in models for Parkinson's disease

Background  

Parkinson's disease (PD) is caused by degeneration of dopamine (DA) neurons in the ventral midbrain (vMB) and results in severely disturbed regulation of movement. The disease inflicts considerable suffering for the affected and their families. Today, the opportunities for pharmacological treatment are meager and new technologies are needed. Previous studies have indicated that activation of the nuclear receptor Retinoid X Receptor (RXR) provides trophic support for DA neurons. Detailed investigations of these neurotrophic effects have been hampered by the lack of readily available DA neurons in vitro. The aim of this study was to further describe the potential neurotrophic actions of RXR ligands and, for this and future purposes, develop a suitable in vitro-platform using mouse embryonic stem cells (mESCs).     

Sounds and vibrations in the frozen Beaufort Sea during gravel island construction

Underwater and airborne sounds and ice-borne vibrations were recorded from sea-ice near an artificial gravel island during its initial construction in the Beaufort Sea near Prudhoe Bay, Alaska. Such measurements are needed for characterizing the properties of island construction sounds to assess their possible impacts on wildlife. Recordings were made in February-May 2000 when BP Exploration (Alaska) began constructing Northstar Island about 5 km offshore, at 12 m depth. Activities recorded included ice augering, pumping sea water to flood the ice and build an ice road, a bulldozer plowing snow, a Ditchwitch cutting ice, trucks hauling gravel over an ice road to the island site, a backhoe trenching the sea bottom for a pipeline, and both vibratory and impact sheet pile driving. For all but one sound source (underwater measurements of pumping) the strongest one-third octave band was under 300 Hz. Vibratory and impact pile driving created the strongest sounds. Received levels of sound and vibration, as measured in the strongest one-third octave band for different construction activities, reached median background levels <7.5 km away for underwater sounds, <3 km away for airborne sounds, and <10 km away for in-ice vibrations.     

Synthesis,Biological Evaluation and Molecular Docking Studies of 5-Indolylmethylen-4-oxo-2-thioxothiazolidine Derivatives

Background: Infectious diseases represent a significant global strain on public health security and impact on socio-economic stability all over the world. The increasing resistance to the current antimicrobial treatment has resulted in the crucial need for the discovery and development of novel entities for the infectious treatment with different modes of action that could target both sensitive and resistant strains. Methods: Compounds were synthesized using the classical organic chemistry methods. Prediction of biological activity spectra was carried out using PASS and PASS-based web applications. Pharmacophore modeling in LigandScout software was used for quantitative modeling of the antibacterial activity. Antimicrobial activity was evaluated using the microdilution method. AutoDock 4.2^® software was used to elucidate probable bacterial and fungal molecular targets of the studied compounds. Results: All compounds exhibited better antibacterial potency than ampicillin against all bacteria tested. Three compounds were tested against resistant strains MRSA, P. aeruginosa and E. coli and were found to be more potent than MRSA than reference drugs. All compounds demonstrated a higher degree of antifungal activity than the reference drugs bifonazole (6–17-fold) and ketoconazole (13–52-fold). Three of the most active compounds could be considered for further development of the new, more potent antimicrobial agents. Conclusion: Compounds 5b (Z)-3-(3-hydroxyphenyl)-5-((1-methyl-1H-indol-3-yl)methylene)-2-thioxothiazolidin-4-one and 5g (Z)-3-[5-(1H-Indol-3-ylmethylene)-4-oxo-2-thioxo-thiazolidin-3-yl]-benzoic acid as well as 5h (Z)-3-(5-((5-methoxy-1H-indol-3-yl)methylene)-4-oxo-2-thioxothiazolidin-3-yl)benzoic acid can be considered as lead compounds for further development of more potent and safe antibacterial and antifungal agents.     

Strahlensysteme Mit Speziellen Eigenschaften

In this paper a formula which is derived in [4, p.273] for a rectilinear congruence Σ is expressed in terms of well-known Σ and its middle envelope. Further motivated by this formula we study some specific congruences.     

Recent advances in the application of capillary electrophoresis for food analysis

This article reviews recent developments in the application of capillary electrophoresis (CE) for the analysis of foods and food components. CE has been applied to a number of important areas of food analysis and is fast becoming an established technique within food analytical and research laboratories. Papers are reviewed that were published during the two years to date following the previous review (Electrophoresis 2001, 22, 4197-4206).     

Cholic acid derivatives containing both 2-naphthylcarbamate and 3,5-dinitrophenylcarbamate groups: a combined circular dichroism-molecular mechanics approach to the definition of their molecular conformation

CD spectra of the chiral auxiliaries for enantioselective HPLC N-allyl-N'-methyl-3,12-bis(2-naphthyl)carbamoyloxy-7-(3,5-dinitrophenyl)carbamoyloxycholan-24-amide (1), N-allyl-N'-methyl-3-(3,5-dinitrophenyl)carbamoyloxy-7,12-bis(2-naphthyl)carbamoyloxycholan-24-amide (2), N-allyl-N'-methyl-3,7-bis(2-naphthyl)carbamoyloxy-12-(3,5-dinitrophenyl)carbamoyloxycholan-24-amide (3), and N-allyl-N'-methyl-3,7,12-tris(2-naphthyl)carbamoyloxycholan-24-amide (4) are presented. To determine the preferred conformations of those chiral auxiliaries, a random search based on the aromatic side-chain conformational degrees of freedom was performed and the energy was minimized using two different molecular mechanics force fields. The low energy structures presenting common features were arranged in groups and selected exploiting appropriate filters. The calculation of theoretical CD spectra according to the De Voe model has allowed a further discrimination among the conformations, specifying which of them gave calculated CD spectra in acceptable agreement with the experimental ones. Finally, taking into account the additivity of the contributions of each 2-naphthylcarbamate chromophore to the CD spectrum of the cholic acid derivatives, and, hence, choosing, for derivatives 1-3, those conformations in which the 2-naphthylcarbamate groups take a similar disposition as in 4, the preferentially assumed conformation of each compound was obtained. A molecular dynamics simulation in the presence of acetonitrile allowed the fluctuations of one of the structures, used as a test case, depending on environmental effects, to be examined.