ON THE CONVERGENCE OF THE PARABOLIC APPROXIMATION OF A CONSERVATION LAW IN SEVERAL SPACE DIMENSIONS

1.IntrodnctionWegiveaproofofthestrongconvergenceinofthesolutionoftheparabolicapproximationtowardstheentropicsolutiontothescalarconservationlawwhereuo(RN),udenotessomeapproximationofuosuchthatandthefluxfsatisfiesTheconvergenceoftheapproximatesolutions...     

Determination of total and free concentrations of the enantiomers of methadone and its metabolite (2-ethylidene-1,5-dimethyl-3,3-diphenyl-pyrrolidine) in human plasma by enantioselective liquid chromatography with mass spectrometric detection

A sensitive enantioselective liquid chromatographic assay with mass spectrometric detection (LC-MS) has been validated for the determination of total and free plasma concentrations of (R)- and (S)-methadone (Met) and (R)- and (S)-2-ethylidene-1,5-dimethyl-3,3-diphenylpyrrolidine (EDDP, the primary metabolite of Met), using their respective deuterium-labeled compounds as internal standards [(R,S)-d3-Met and (R,S)-d3-EDDP]. For total drug determinations, 1 ml human plasma was extracted, using a cation-exchange solid-phase extraction cartridge; the eluate was evaporated, reconstituted in the mobile phase, and injected into the LC-MS system. The free fractions of Met and EDDP were determined, using 500 microl of plasma, which were placed in an ultrafiltration device and centrifuged at 2000 x g until 250 microl of filtrate was collected. The filtrate was extracted as described above and analyzed. Enantioselective separations were achieved using an alpha1-acid glycoprotein chiral stationary phase, a mobile phase composed of acetonitrile-ammonium acetate buffer [10 mM, pH 7.0] (18:82, v/v), a flow rate of 0.9 ml/min at 25 degrees C. Under these conditions, enantioselective separations were observed for Met (alpha = 1.30) and EDDP (alpha = 1.17) within 15 min. Met, EDDP, [2H3]-Met and [2H3]-EDDP were detected using selected ion monitoring at m/z 310.30, 278.20, 313.30, and 281.20, respectively. Linear relationships between peak height ratio and drug-enantiomer concentrations were obtained for Met in the range 1.0-300.0 ng/ml, and for EDDP from 0.1 to 25.0 ng/ml with correlation coefficients greater than 0.999, where the lower limit of quantification (LLOQ) was 1 ng/ml for Met and 0.1 ng/ml for EDDP. The relative standard deviation (R.S.D.) expressed as R.S.D. for the intra- and inter-day precision of the method were < 5.3% and the R.S.D. for accuracy was < 5.0%. The method was used to analyze plasma samples obtained from patients enrolled in a Met-maintenance program.     

ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacunary statistical convergence of order α and strong Nαθ(p)-summability. Furthermore, some relations between the spaces Nαθ(p) and Sαθare examined.     

How does cold constrain life cycles of terrestrial plants and animals?

Short summer seasons with low thermal energy input characterise polar ecosystems. Climatic variables and physical isolation of terrestrial habitats act as selective filters which must be passed to allow colonisation, establishment and survival in these extreme environments. Life history studies of the terrestrial biota of such ecosystems give little evidence of adaptive responses to low temperatures having evolved in situ, even though behavioural, ecophysiological and biochemical features allowing tolerance of the likely extremes are well-developed. Observed life history strategies are often consistent with the general predictions of adversity (A) or stress (S) selection. However, biota successful in these extreme environments may be better-grouped by the lack of particular life history features, rather than common possession.     

SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES

In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property （β） for this space and also show that it is not rotund where p = （pr） is a bounded sequence of positive real numbers with pr ≥ 1 for all r ∈ N.     

On lacunary statistical convergence of order α

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacunary statistical convergence of order α and strong N_θ^α(p)-summability. Furthermore, some relations between the spaces N_θ^αS_θ^α are examined.