On the inertia of the Lyapunov transform AH+HA* for H >0

Given an arbitrary n×n matrix A with complex entries, we characterize all inertia triples (abc) that are attained by the Lyapunov transform AH+ HA^*, as H varies over the set of all n× n positive definite matrices.     

Some Aspects of the Distributional Properties of the Expected Value of Perfect Information (EVPI)

In this paper we examine the Expected Value of Perfect Information (EVPI), with respect to the underlying probability distribution. By the method of optimal control theory we show that for any given second and third moments the underlying distribution that maximizes the EVPI is a 2-spike distribution. We find that shifting the distribution mean from zero will decrease the associated EVPI. The EVPI is further analyzed when the underlying distribution is symmetric, centred at zero.     

One-dimensional perturbations of cyclic operators

It is shown that for a cyclic operator on a finite dimensional Hilbert space, arbitrary spectrum is obtainable by means of a one-dimensional perturbation.     

On relaxed control and singular solutions

A relation is shown to exist between relaxed problems and singular control. It is shown that a problem that does not possess an optimal solution, but satisfies some general assumptions, has a singular relaxed solution.     

Intrinsic fluorescence polarization of amniotic fluid: evaluation of human fetal lung maturity

This article reports a novel approach for the evaluation of fetal lung maturity based on fluorescence polarization (FP). The technique determines the intrinsic fluorescence polarization ratio (IFPR) of the amniotic fluid (AF). In vitro measurements of the IFPR indicate a clear dichotomy: high values for young pregnancies and low values for mature pregnancies. The new method has the potential to be a noninvasive procedure because the excitation of the AF and the collection of its fluorescence emission can be performed through the intact cervical amniotic membranes.     

Biosensors for the analysis of food- and waterborne pathogens and their toxins

Biosensors are devices which combine a biochemical recognition element with a physical transducer. There are various types of biosensors, including electrochemical, acoustical, and optical sensors. Biosensors are used for medical applications and for environmental testing. Although biosensors are not commonly used for food microbial analysis, they have great potential for the detection of microbial pathogens and their toxins in food. They enable fast or real-time detection, portability, and multipathogen detection for both field and laboratory analysis. Several applications have been developed for microbial analysis of food pathogens, including E. coli O157:H7, Staphylococcus aureus, Salmonella, and Listeria monocytogenes, as well as various microbial toxins such as staphylococcal enterotoxins and mycotoxins. Biosensors have several potential advantages over other methods of analysis, including sensitivity in the range of ng/mL for microbial toxins and <100 colony-forming units/mL for bacteria. Fast or real-time detection can provide almost immediate interactive information about the sample tested, enabling users to take corrective measures before consumption or further contamination can occur. Miniaturization of biosensors enables biosensor integration into various food production equipment and machinery. Potential uses of biosensors for food microbiology include online process microbial monitoring to provide real-time information in food production and analysis of microbial pathogens and their toxins in finished food. Biosensors can also be integrated into Hazard Analysis and Critical Control Point programs, enabling critical microbial analysis of the entire food manufacturing process. In this review, the main biosensor approaches, technologies, instrumentation, and applications for food microbial analysis are described.     

N‐Glycosyl‐N′‐[p‐(isoamyloxy)phenyl]‐thiourea Derivatives: Potential Anti‐TB Therapeutic Agents

Thiocarlide (THC; N,N′‐bis[p‐(isoamyloxy)phenyl]‐thiourea; also known as Isoxyl^®) has been used in the past as an anti‐tuberculosis agent. In an effort to improve the therapeutic value of THC, several N‐glycosyl‐N′‐[p‐(isoamyloxy)phenyl]‐thiourea derivatives were synthesized by coupling an aniline derivative and glycosyl isothiocyanates. The minimum inhibitory concentration (MIC) values of the new products against M. tuberculosis were determined.