The Keplerian and mean motions. A geometrical study

Summary The point of reference to which the mean motion of the planets against Keplerian motion can optimally be applied and the behavior of its astronomical functions are analysed mathematically. To the results of our problem, which was solved by the first and second laws of Kepler, virtually all models of planetary motions seem to be related.     

Diethylpyrocarbonate interferes with lipid-protein interaction and glucose transport in the human red cell membrane.

Diethylpyrocarbonate largely diminished both discontinuities in red cell glucose transport and also in red cell membrane ANS fluorescence at about 17--20 degrees C.     

Asymmetries in conditional mean and variance: modelling stock returns by asMA‐asQGARCH

We propose a nonlinear time series model where both the conditional mean and the conditional variance are asymmetric functions of past information. The model is particularly useful for analysing financial time series where it has been noted that there is an asymmetric impact of good news and bad news on volatility (risk) transmission. We introduce a coherent framework for testing asymmetries in the conditional mean and the conditional variance, separately or jointly. To this end we derive both a Wald and a Lagrange multiplier test. Some of the new asymmetric model's moment properties are investigated. Detailed empirical results are given for the daily returns of the composite index of the New York Stock Exchange. There is strong evidence of asymmetry in both the conditional mean and the conditional variance functions. In a genuine out‐of‐sample forecasting experiment the performance of the best fitted asymmetric model, having asymmetries in both conditional mean and conditional variance, is compared with an asymmetric model for the conditional mean, and with no‐change forecasts. This is done both in terms of conditional mean forecasting as well as in terms of risk forecasting. Finally, the paper presents some evidence of asymmetries in the index stock returns of the Group of Seven (G7) industrialized countries. Copyright © 2004 John Wiley & Sons, Ltd.     

Variance to mean ratio and the spatial distribution of animals

Summary Biological and statistical aspects of the application of variance to mean ratio to describe spatial distribution of animals are discussed. It is shown that the parameterb inTaylor's power laws ²=a m ^b shows intra-specific variation depending on the distribution of the constituent units of the population.a andb are only parameters of a very empirical way of describing the relation between variance and mean, which itself is an indicator for spatial distribution. Hence,a andb depend on the distribution behaviour of the animals, and not vice versa.Acknowledgments: The work was developed whilst I was at the Department of Entomology, University of Nairobi. I am grateful to ProfessorT. R. Odhiambo for his interest. I thank the referee for comments.     

On the limitations of comparing mean square forecast errors

Linear models are invariant under non-singular, scale-preserving linear transformations, whereas mean square forecast errors (MSFEs) are not. Different rankings may result across models or methods from choosing alternative yet isomorphic representations of a process. One approach can dominate others for comparisons in levels, yet lose to another for differences, to a second for cointegrating vectors and to a third for combinations of variables. The potential for switches in ranking is related to criticisms of the inadequacy of MSFE against encompassing criteria, which are invariant under linear transforms and entail MSFE dominance. An invariant evaluation criterion which avoids misleading outcomes is examined in a Monte Carlo study of forecasting methods.     

Deformation of transforming red cells in various pH solutions

Summary Centrifugation into a rapid cell fixative is used to determine the conformation of red cells at various pH-values as a measure of red cell deformability. Discocytes show a good deformation into handbag-like forms; echinocytes and stomatocytes have reduced deformability with characteristic shapes of deformation.     

Forecasting commodity prices: GARCH,jumps, and mean reversion

In examining stochastic models for commodity prices, central questions often revolve around time‐varying trend, stochastic convenience yield and volatility, and mean reversion. This paper seeks to assess and compare alternative approaches to modelling these effects, with focus on forecast performance. Three specifications are considered: (i) random‐walk models with GARCH and normal or Student‐t innovations; (ii) Poisson‐based jump‐diffusion models with GARCH and normal or Student‐t innovations; and (iii) mean‐reverting models that allow for uncertainty in equilibrium price. Our empirical application makes use of aluminium spot and futures price series at daily and weekly frequencies. Results show: (i) models with stochastic convenience yield outperform all other competing models, and for all forecast horizons; (ii) the use of futures prices does not always yield lower forecast error values compared to the use of spot prices; and (iii) within the class of (G)ARCH random‐walk models, no model uniformly dominates the other. Copyright © 2008 John Wiley & Sons, Ltd.     

Recombination of integral and peripheral protein fractions from human red cell membrane with homologous lipids

Summary Integral and peripheral protein fractions from human red cell membranes were recombined with a total red cell lipid extract and with homologous lipids in varying mixtures, by dialysis from 2-chlorethanol solutions. The 2 protein fractions were compared for lipid binding capacity and for selectivity towards individual lipids.     

Relations between magnesium, erythrocyte zinc and HL-A groups]

Red blood cell and plasma magnesium and zinc levels and plasma calcium concentrations have been determined in 84 unrelated male subjects, with known HLA groups. When the subjects are classified according to their HLA--B groups, significant variations are observed for red blood cell magnesium and zinc concentrations, while no important variation is observed for HLA--A groups. These results confirm the importance of genetic factors in the regulation of Mg and Zn red blood cell concentrations.     

The effects of parabiotic union with a normal partner on the blood tissue of the b/b rat suffering from an inheritable anemia

Summary The parabiotic union of a b/b rat, suffering from a red blood cell anemia, with a normal partner will restore to normal the functioning of this type of blood cell. The effect of parabiotic union is evident for several weeks following the separation of the parabiotic partners. It would be logical to conclude that the normal partner supplies a factor absent in the anemic animal needed for normal functioning of the red cell.     

Reduction of ferricytochrome c by human red cells

Summary Human red cells reduced extracellular ferricytochrome c to ferrocytochrome c under various conditions, suggesting that ferricytochrome c reducing systems are present at the outer surface of the red cell membrane.     

Reduction of ferricytochrome c by human red cells

Human red cells reduced extracellular ferricytochrome c to ferrocytochrome c under various conditions, suggesting that ferricytochrome c reducing systems are present at the outer surface of the red cell membrane.     

Diethylpyrocarbonate interferes with lipid-protein interaction and glucose transport in the human red cell membrane

Summary Diethylpyrocarbonate largely diminishes both discontinuities in red cell glucose transport and also in red cell membrane ANS fluorescence at about 17–20°C.We are very much indebted to Dr K.-H. Röhm for valuable discussions of this paper. This work was supported by the Deutsche Forschungsgemeinschaft.     

Galactose-l-phosphate uridyl transferase activity in red cells of various animal species

Summary Monkey red cells were chosen as controls in tests of human red cell galactose-l-phosphate uridyl transferase, after comparing activities and isozyme patterns of the enzyme from several domestic or laboratory-bred species.     

Physiological dissection of various effects of ruthenium red dye on Paramecium cells.

Polycationic dye ruthenium red, but not alcian blue, if externally applied to Paramecium cells quickly inhibits their phagocytosis. Ruthenium red combined with the cell surface diminishes frequency and duration of ciliary reversals and gradually inactivates the Ca++ gating mechanism. This effect persists for 1-3 after ruthenium red removal from the culture medium.     

Geminus and the concept of mean motion in Greco-Latin astronomy

Conclusion Geminus account of lunar motion in chapter 18 of hisIntroductio astronomiae is, in our view, an important contribution to Greco-Latin astronomy because, in attempting to reconstruct arithmetically (the parameters of) the Moon's motion in longitude, he undermines the task astronomers had hitherto set for themselves. This undermining of a commonly acknowledged view of the purpose of astronomy is articulated in a whole new set of questions concerning the nature and place of both observation and mathematical reasoning in the science of the heavens. Yet, one must not overlook the fact thatGeminus reconstruction also indicates resources for addressing these questions. Of these resources, the most powerful proved to be the idea that irregular motion could be quantified as a systematic departure from a mean motion, and the idea that observational data could be organized and structured by means of genetic arithmetical reconstructions.But, since we limit our attention to extant treatises and decline to speculate about works or parts of works that have not survived, we must say that it would takePtolemy to discern the new direction for astronomy thatGeminus opened up and to pursue it. In part, this involved straightening out the conflated conception of mean motion in chapter 18 — the qua arithmetic mean daily displacement can only be anapparent lunar motion in longitude and not one the Moonreally makes, but the same need not be true of the qua periodic mean daily displacement — and determining its proper relation to real and apparent planetary motion. Indeed,Ptolemy's genius lay, we think, in seeing that even though, in assimilating Babylonian astronomy, earlier and contemporary Greco-Latin writers betrayed a confused, inconsistent, and unsophisticated grasp of the proper role of arithmetic, geometry, and observation in astronomical argument [seeBowen 1994], the solution lay in a mathematical reconstruction of the observed celestial motions, in which mean motion played an essential role.     

Changes in red blood cell choline and choline-bound lipids with oral lithium

The influence of oral lithium on the concentration of red blood cell choline (Ch), lecithin, glycerophosphorylcholine (GPCh) and phosphorylcholine (PCh) was studied. The concentration of RBC Ch was significantly elevated and the concentration of lecithin, GPCh and PCh significantly depressed in 16 patients on oral lithium compared to 9 age-matched controls. We conclude that lithium markedly depletes the red blood cell of choline containing compounds including lecithin. These changes may be responsible for both the therapeutic efficacy and the toxicity of lithium.