Observability and topological dynamics

Using methods of topological dynamics, we study sufficiency conditions for observability of a given dynamical system (X, T) by a continuous output function. In particular, we show that ifX has either finite topological or covering dimension andT does not have infinitely many periodic points with same period, then (X, T) admits an observable. The paper also gives a partial survey of various related results and improves some of them.Dedicated to the memory of Douglas McMahon.     

A Novel Methylotrophic Bacterial Consortium for Treatment of Industrial Effluents

Considering the importance of methylotrophs in industrial wastewater treatment, focus of the present study was on utilization of a methylotrophic bacterial consortium as a microbial seed for biotreatment of a variety of industrial effluents. For this purpose, a mixed bacterial methylotrophic AC (Ankleshwar CETP) consortium comprising of Bordetella petrii AC1, Bacillus licheniformis AC4, Salmonella subterranea AC5, and Pseudomonas stutzeri AC8 was used. The AC consortium showed efficient biotreatment of four industrial effluents procured from fertilizer, chemical and pesticide industries, and common effluent treatment plant by lowering their chemical oxygen demand (COD) of 950–2000 mg/l to below detection limit in 60–96 h in 6-l batch reactor and 9–15 days in 6-l continuous reactor. The operating variables of wastewater treatment, viz. COD, BOD, pH, MLSS, MLVSS, SVI, and F/M ratio of these effluents, were also maintained in the permissible range in both batch and continuous reactors. Therefore, formation of the AC consortium has led to the development of an efficient microbial seed capable of treating a variety of industrial effluents containing pollutants generated from their respective industries.     

Production,Partial Characterization,and Use of a Red Biochrome Produced by <Emphasis Type="Italic">Serratia sakuensis</Emphasis> subsp. nov Strain KRED for Dyeing Natural Fibers

We have described a novel red biochrome, 514 Da in size, produced by solid-state cultivation of a bacterial isolate obtained from garden soil. The growth requirements of the isolate, the chemical characteristics of the biochrome produced, and the application of the biochrome in dying of silk, wool, and cotton fabrics have been studied. The biochrome obtained after 52 h of incubation and having a λ _max of 535 nm was used for dyeing the fabrics. We found that silk, wool, and cotton fabrics dyed with this new natural red compound have high color strength values and dye uptake along with good color fastness as well as antibacterial activity.     

Validated LC–MS/MS method for quantification of agomelatine in human plasma and its application in a pharmacokinetic study

An analytical method based on liquid–liquid extraction has been developed and validated for analysis of agomelatine in human plasma. Fluoxetine was used as an internal standard for agomelatine. A Betasil C18 (4.0 × 100 mm, 5 µm) column provided chromatographic separation of analytes followed by detection with mass spectrometry. The method involves simple isocratic chromatographic conditions and mass spectrometric detection in the positive ionization mode using an API‐4000 system. The proposed method has been validated with linear range of 0.050–8.000 ng/ml for agomelatine. The intra‐run and inter‐run precision values are within 12.12% and 9.01%, respectively, for agomelatine at the lower limit of quantification level. The overall recovery for agomelatine and fluoxetine was 67.10% and 72.96%, respectively. This validated method was used successfully for analysis of plasma samples from a pharmacokinetic study. Copyright © 2012 John Wiley & Sons, Ltd.     

CHANGES IN SUPEROXIDE DISMUTASE, CATALASE AND GLUCOSE-6-PHOSPHATE DEHYDROGENASE ACTIVITIES OF RABBIT ALVEOLAR MACROPHAGES: INDUCED BY POSTNATAL MATURATION AND/OR IN VITRO HYPEROXIA

Abstract— The total superoxide dismutase activity of rabbit alveolar macrophages (AM) increased twofold during the first postnatal week. This increase in superoxide dismutase activity was primarily mitochondrial and paralleled the increase in the number of mitochondria in these cells which has been previously reported. The superoxide dismutase activity of AM in culture for 18 h was significantly increased by hyperoxia; catalase activity in hyperoxic conditions was slightly adversely affected; glucose-6-phosphate dehydrogenase activity was increased but not significantly over control values. Hyperoxic cultures beyond 42 h decreased the total number of viable cells and the superoxide dismutase activity expressed per viable cell; the disappearance of catalase and glucose-6-phosphate dehydrogenase activities in this period, however, was more rapid in control alveolar macrophages than those under hyperoxia.     

Comparison of denitrification between Paracoccus sp. and Diaphorobacter sp

Denitrification was compared between Paracoccus sp. and Diaphorobacter sp. in this study, both of which were isolated from activated sludge of a denitrifying reactor. Denitrification of both isolates showed contrasting patterns, where Diaphorobacter sp. showed accumulation of nitrite in the medium while Paracoccus sp. showed no accumulation. The nitrate reduction rate was 1.5 times more than the nitrite reduction in Diaphorobacter sp., as analyzed by the resting state denitrification kinetics. Increasing the nitrate concentration in the medium increased the nitrite accumulation in Diaphorobacter sp., but not in Paracoccus sp., indicating a branched electron transfer during denitrification. Diaphorobacter sp. was unable to denitrify efficiently at high nitrate concentrations from 1 M, but Paracoccus sp. could denitrify even up to 2 M nitrate. Paracoccus sp. was found to be an efficient denitrifier with insignificant amounts of nitrite accumulation, and it could also denitrify high amounts of nitrate up to 2 M. Efficient denitrification without accumulation of intermediates like nitrite is desirable in the removal of high nitrates from wastewaters. Paracoccus sp. is shown to suffice this demand and could be a potential organism to remove high nitrates effectively.     

Construction of minimal cocycles arising from specific differential equations

Blending methods of Topological Dynamics and Control Theory, we develop a new technique to construct compact-Lie-group-valued minimal cocycles arising as fundamental matrix solutions of linear differential equations with recurrent coefficients subject to a given constraint. The precise requirement on the coefficients is that they belong to a specified closed convex subsetS of the Lie algebraL of the Lie group. Our result is proved for a very thin class of cocycles, since the dimension ofS is allowed to be much smaller than that ofL, and the only assumption onS is thatL ₀(S) =L, whereL ₀(S) is the ideal ofL(S) generated by the difference setS − S, andL(S) is the Lie subalgebra ofL generated byS. This covers a number of differential equations arising in Mathematical Physics, and applies in particular to the widely studied example of the Rabi oscillator. Supported in part by a Research Council grant from Rutgers University. Supported in part by NSF Grant DMS92-02554.