The inverse problem of central forces

Eberhard Gieseler (1839–1921) lehrte von 1874 bis 1914 Physik und Landmaschinenkunde an der Landwirtschaftlichen Akademie Bonn-Poppelsdorf, daneben Meteorologie und Erdbau. Als Erster in Bonn machte er Röntgenaufnahmen, die die Ärzte benutzten. Mit Geschick warb er durch populärwissenschaftliche Vorträge für die Verbreitung physikalischer Kenntnisse, dabei benutzte er wie in seinen Vorlesungen oft selbst erdachte Apparate. Er erfand eine graphische Darstellung, die die Klimaverhältnisse an einem Ort für jeden Tag über einen langen Zeitraum überschaubar macht. Vor allem setzte er sich durch Aufsätze, eigene Erfindungen, wissenschaftliche Untersuchungen und technische Ausbildung der zukünftigen Landwirte für die Einführung und Verbesserung der Landmaschinen in Deutschland ein.     

Centromere separation: existence of sequences

Summary The centromeres of chromosomes from human lymphocytes as well as root tips ofVicia faba andCrepis capillaris release the sister-chromatids in nonrandom, genetically controlled sequences. In man chromosomes 18 and 17 are amongst the earliest and 13, 14, 15 the last. The sequences may be a universal phenomenon among eukaryotes.I wish to thank Drs Rieger and J. Van't Hoff for supply of seed.     

On the existence of cytokines in invertebrates

Based on the assumption that invertebrates, like vertebrates, possess factors regulating responses to infection or wounding, studies dealing with the evolution of immunity have focussed on the isolation and characterisation of putative cytokine-related molecules from invertebrates. Until recently, most of our knowledge of cytokine- and cytokine receptor-like molecules in invertebrates relies on functional assays and similarities at the physicochemical level. As such, a phylogenetic relationship between invertebrate cytokine-like molecules and vertebrate counterparts could not be convincingly demonstrated. Recent genomic sequence analyses of interleukin-1-receptor-related molecules, that is Toll-like receptors, and members of the transforming growth factor-β superfamily suggest that the innate immune system of invertebrates and vertebrates evolved independently. In addition, data from protochordates and annelids suggest that invertebrate cytokine-like molecules and vertebrate factors do not have the same evolutionary origin. We propose instead that the convergence of function of invertebrate cytokine-like molecules and vertebrate counterparts involved in innate immune defences may be based on similar lectin-like activities. Received 27 November 2000; received after revision 11 December 2000; accepted 13 December 2000     

Identification of asymmetric prediction intervals through causal forces

When causal forces are specified, the expected direction of the trend can be compared with the trend based on extrapolation. Series in which the expected trend conflicts with the extrapolated trend are called contrary series. We hypothesized that contrary series would have asymmetric forecast errors, with larger errors in the direction of the expected trend. Using annual series that contained minimal information about causality, we examined 671 contrary forecasts. As expected, most (81%) of the errors were in the direction of the causal forces. Also as expected, the asymmetries were more likely for longer forecast horizons; for six‐year‐ahead forecasts, 89% of the forecasts were in the expected direction. The asymmetries were often substantial. Contrary series should be flagged and treated separately when prediction intervals are estimated, perhaps by shifting the interval in the direction of the causal forces. Copyright © 2001 John Wiley & Sons, Ltd.     

Causal forces: Structuring knowledge for time-series extrapolation

This paper examines a strategy for structuring one type of domain knowledge for use in extrapolation. It does so by representing information about causality and using this domain knowledge to select and combine forecasts. We use five categories to express causal impacts upon trends: growth, decay, supporting, opposing, and regressing. An identification of causal forces aided in the determination of weights for combining extrapolation forecasts. These weights improved average ex ante forecast accuracy when tested on 104 annual economic and demographic time series. Gains in accuracy were greatest when (1) the causal forces were clearly specified and (2) stronger causal effects were expected, as in longer-range forecasts. One rule suggested by this analysis was: ‘Do not extrapolate trends if they are contrary to causal forces.’ We tested this rule by comparing forecasts from a method that implicitly assumes supporting trends (Holt's exponential smoothing) with forecasts from the random walk. Use of the rule improved accuracy for 20 series where the trends were contrary; the MdAPE (Median Absolute Percentage Error) was 18% less for the random walk on 20 one-year ahead forecasts and 40% less for 20 six-year-ahead forecasts. We then applied the rule to four other data sets. Here, the MdAPE for the random walk forecasts was 17% less than Holt's error for 943 short-range forecasts and 43% less for 723 long-range forecasts. Our study suggests that the causal assumptions implicit in traditional extrapolation methods are inappropriate for many applications.     

Mechanical forces in lymphatic vascular development and disease

The lymphatic vasculature is essential for fluid homeostasis and transport of immune cells, inflammatory molecules, and dietary lipids. It is composed of a hierarchical network of blind-ended lymphatic capillaries and collecting lymphatic vessels, both lined by lymphatic endothelial cells (LECs). The low hydrostatic pressure in lymphatic capillaries, their loose intercellular junctions, and attachment to the surrounding extracellular matrix (ECM) permit passage of extravasated blood plasma from the interstitium into the lumen of the lymphatic capillaries. It is generally thought that interstitial fluid accumulation leads to a swelling of the ECM, to which the LECs of lymphatic capillaries adhere, for example via anchoring filaments. As a result, LECs are pulled away from the vascular lumen, the junctions open, and fluid enters the lymphatic vasculature. The collecting lymphatic vessels then gather the plasma fluid from the capillaries and carry it through the lymph nodes to the blood circulation. The collecting vessels contain intraluminal bicuspid valves that prevent fluid backflow, and are embraced by smooth muscle cells that contribute to fluid transport. Although the lymphatic vessels are regular subject to mechanical strain, our knowledge of its influence on lymphatic development and pathologies is scarce. Here, we discuss the mechanical forces and molecular mechanisms regulating lymphatic vascular growth and maturation in the developing mouse embryo. We also consider how the lymphatic vasculature might be affected by similar mechanomechanisms in two pathological processes, namely cancer cell dissemination and secondary lymphedema.     

Reconceptualising equilibrium in Boltzmannian statistical mechanics and characterising its existence

In Boltzmannian statistical mechanics macro-states supervene on micro-states. This leads to a partitioning of the state space of a system into regions of macroscopically indistinguishable micro-states. The largest of these regions is singled out as the equilibrium region of the system. What justifies this association? We review currently available answers to this question and find them wanting both for conceptual and for technical reasons. We propose a new conception of equilibrium and prove a mathematical theorem which establishes in full generality – i.e. without making any assumptions about the system׳s dynamics or the nature of the interactions between its components – that the equilibrium macro-region is the largest macro-region. We then turn to the question of the approach to equilibrium, of which there exists no satisfactory general answer so far. In our account, this question is replaced by the question when an equilibrium state exists. We prove another – again fully general – theorem providing necessary and sufficient conditions for the existence of an equilibrium state. This theorem changes the way in which the question of the approach to equilibrium should be discussed: rather than launching a search for a crucial factor (such as ergodicity or typicality), the focus should be on finding triplets of macro-variables, dynamical conditions, and effective state spaces that satisfy the conditions of the theorem.     

On the existence of generalized inverse estimators in a singular system of equations

This paper deals with estimation problems in the context of singular systems of equations. It provides the necessary and sufficient conditions for the existence of restricted estimators as a routine extension of the standard theory of restricted least squares estimation. The paper also provides the means for carrying out tests of hypotheses on subsets of restrictions imposed on the system by explicitly providing an expression for the (appropriate) Lagrange multipliers.     

Evidence for the existence of two carbonic anhydrase isozymes in rabbit ciliary body

Two carbonic anhydrase isozymes were found in the rabbit ciliary body. Their isoelectric points were determined to be pH 6.6 and pH 7.4, respectively. The total activity of the higher isoelectric point isozyme was higher than that of the lower isoelectric point isozyme.     

Further evidence for the existence of a hypothalamic follicle stimulating hormone synthesizing factor

Résumé Après une periode de 45 min, l'injection d'extraits hypothalamiques dans la veine d'un rat mâle intacte provoque une chute maximale du niveau FSH hypophysaire; dans un rat mâle ayant une lésion du ME et un niveau de FSH hypophysaire inférieur à la normale, la même dose d'extrait hypothalamique fait hausser au maximum le niveau de FSH hypophysaire.     

Discharge pattern analysis suggests existence of a low-threshold calcium channel in cold receptors

Summary The regular periodic activity patterns of mammalian cold receptors have been quantitatively studied. Analysis of the timing of either single impulses or impulse groups demonstrated that the periodic receptor process is maintained independently of impulse generation and continues to operate under conditions when afferent impulses are not initiated. These results imply that the underlying conductances must be operational at threshold potentials related to impulse generation. In addition to temperature, the periodic process is considerably sensitive to calcium, which affects mainly the probability of impulse generation during each cycle. Reduction of external calcium and application of calcium entry blockers with relative selectivity for low-threshold calcium channels are similarly effective in modulating cold receptor activity. The data imply the existence of a low-threshold calcium conductance at the sensory terminal.     

Evidence for existence of pores in intramembranous particles revealed by freeze fracturing]

In freeze-fracture replicas of membranes (plasma and intracellular) in a variety of animal cells, it is possible to detect the presence of intramembrane particles containing an electron-dense spot. The spot is interpreted as an accumulation of platinum into a cavity; the cavity could in turn correspond to a hydrophilic pore in the particle.