Dynamical Symmetry,by Carl E. Wulfman

The contemporary view of stellar movements is that the motion is orbital motion in the attracting field of the galaxy as a whole. The orbits can be classified according to their eccentricity and inclination to the plane of the galaxy. Orbits of low eccentricity and inclination are characteristic of very young stars. Most stars describe orbits of moderate eccentricity and moderate inclination, but some orbits are known to occur with very high eccentricity and high inclination to the plane of the galaxy, these orbits being characteristic of very old stars, and in particular RR Lyrae Variable stars. The article sketches the technique by which velocities relative to the Sun are found and gives a brief account of the mathematics by means of which these velocities are shown to correspond to galactic orbits, and the article concludes with a sketch of the interpretation of the statistics of galactic orbits in terms of the history of the galaxy.     

Simultaneous imaging of locus coeruleus and substantia nigra with a quantitative neuromelanin MRI approach

Quantitative MRI of neuromelanin (NM) containing structures (referred to as NM-MRI) in the brainstem, namely the locus coeruleus (LC) and substantia nigra (SN), may assist with the early detection of Parkinson’s disease (PD) and Alzheimer’s disease (AD) as well as differential diagnosis in the early disease stages. In this study, two gradient echo (GRE) sequences with magnetization transfer contrast (MTC) preparation pulses were developed to simultaneously image the LC and SN. This has been a challenge with NM-MRI techniques used in previous studies due to the relatively high specific absorption rate (SAR) induced by these techniques. In addition, a semi-automated quantitative analysis scheme was applied to estimate volumes and contrast-to-noise ratios (CNR) of the LC and SN based on segmentation of both structures. Compared to a T₁-weighted turbo spin echo (TSE) sequence typically used for simultaneous imaging of the LC and SN, the two GRE-MTC sequences exhibited improved performance in terms of higher sensitivity (in CNR) in imaging the SN and lower SAR during the scans. A multiple-measurement protocol was adopted as well so that motion degraded measurements could be removed and artifacts associated with motion could be corrected. The present approach has demonstrated advantages in image acquisition (lower SAR and higher sensitivity), image pre-processing (with motion correction) and quantitative image analysis (segmentation-based estimation of volume and CNR) when compared with existing NM-MRI approaches. This approach has potential for detection and monitoring of neurodegeneration in LC and SN in disease states including AD and PD.     

Miniaturized laser heterodyne radiometer for measurements of CO2 in the atmospheric column

We have developed a low-cost, miniaturized laser heterodyne radiometer for highly sensitive measurements of carbon dioxide (CO₂) in the atmospheric column. In this passive design, sunlight that has undergone absorption by CO₂ in the atmosphere is collected and mixed with continuous wave laser light that is step-scanned across the absorption feature centered at 1,573.6 nm. The resulting radio frequency beat signal is collected as a function of laser wavelength, from which the total column mole fraction can be de-convolved. We are expanding this technique to include methane (CH₄) and carbon monoxide (CO), and with minor modifications, this technique can be expanded to include species such as water vapor (H₂O) and nitrous oxide (N₂O).     

LC–QToF–MS method for quantification of ethambutol,isoniazid, pyrazinamide and rifampicin in human plasma and its application

In this research, we developed and validated a liquid chromatography coupled to mass spectrometry (LC–QToF–MS) method for simultaneous quantification of the anti-tuberculosis drugs ethambutol, isoniazid, pyrazinamide and rifampicin in human plasma. Plasma samples spiked with cimetidine (internal standard) were extracted using protein precipitation with acetonitrile containing 1% formic acid. Separation was performed using a C₁₈ column under flow gradient conditions with water and acetonitrile, both containing 5 mm ammonium formate and 0.1% formic acid. The method was validated according to the ANVISA and US Food and Drug Administration guidelines for bioanalytical method validation. The calibration curve was linear over a concentration range of 0.2–5 μg ml⁻¹ for ethambutol, 0.2–7.5 μg ml⁻¹ for isoniazid, 1–40 μg ml⁻¹ for pyrazinamide and 0.25–2 μg ml⁻¹ for rifampicin, all with adequate precision and accuracy. The method was reproducible, selective and free of carryover and matrix effects. The validated LC–QToF–MS method was successfully applied to real samples and shown to be applicable to future therapeutic and pharmacokinetic monitoring studies.     

Perturbations of nuclear <Emphasis Type="Italic">C</Emphasis>*-algebras

Kadison and Kastler introduced a natural metric on the collection of all C*-subalgebras of the bounded operators on a separable Hilbert space. They conjectured that sufficiently close algebras are unitarily conjugate. We establish this conjecture when one algebra is separable and nuclear. We also consider one-sided versions of these notions, and we obtain embeddings from certain near inclusions involving separable nuclear C*-algebras. At the end of the paper we demonstrate how our methods lead to improved characterisations of some of the types of algebras that are of current interest in the classification programme.