Harmonic Oscillator in a 1D or 2D Cavity with General Perfectly Reflecting Walls

We investigate the simple harmonic oscillator in a 1-d box, and the 2-d isotropic harmonic oscillator problem in a circular cavity with perfectly reflecting boundary conditions. The energy spectrum has been calculated as a function of the self-adjoint extension parameter. For sufficiently negative values of the self-adjoint extension parameter, there are bound states localized at the wall of the box or the cavity that resonate with the standard bound states of the simple harmonic oscillator or the isotropic oscillator. A free particle in a circular cavity has been studied for the sake of comparison. This work represents an application of the recent generalization of the Heisenberg uncertainty relation related to the theory of self-adjoint extensions in a finite volume.

Identification of erosional mechanisms during past glaciations based on a bedrock surface model of the central European Alps

The bedrock topography beneath the Quaternary cover provides an important archive for the identification of erosional processes during past glaciations. Here, we combined stratigraphic investigations of more than 40,000 boreholes with published data to generate a bedrock topography model for the entire plateau north of the Swiss Alps including the valleys within the mountain belt. We compared the bedrock map with data about the pattern of the erosional resistance of Alpine rocks to identify the controls of the lithologic architecture on the location of overdeepenings. We additionally used the bedrock topography map as a basis to calculate the erosional potential of the Alpine glaciers, which was related to the thickness of the LGM ice. We used these calculations to interpret how glaciers, with support by subglacial meltwater under pressure, might have shaped the bedrock topography of the Alps. We found that the erosional resistance of the bedrock lithology mainly explains where overdeepenings in the Alpine valleys and the plateau occur. In particular, in the Alpine valleys, the locations of overdeepenings largely overlap with areas where the underlying bedrock has a low erosional resistance, or where it was shattered by faults. We also found that the assignment of two end-member scenarios of erosion, related to glacial abrasion/plucking in the Alpine valleys, and dissection by subglacial meltwater in the plateau, may be adequate to explain the pattern of overdeepenings in the Alpine realm. This most likely points to the topographic controls on glacial scouring. In the Alps, the flow of LGM and previous glaciers were constrained by valley flanks, while ice flow was mostly divergent on the plateau where valley borders are absent. We suggest that these differences in landscape conditioning might have contributed to the contrasts in the formation of overdeepenings in the Alpine valleys and the plateau.

Principals, agents, and the European Union’s foreign economic policies

In the introduction to this collection on the principal–agent approach and the European Union’s (EU) foreign economic policies we briefly present the EU’s institutional structure for policy-making in trade, monetary, development and international competition and financial policy. We also offer some data on the extent of the EU’s involvement in the international economy. Our discussion of the principal–agent approach and how it can be applied to an analysis of the EU’s foreign economic policies forms the basis of the following contributions. It allows us to formulate three questions that are of particular interest for applications of the principal–agent approach to the EU. Finally, we summarize the various studies included in this collection.

The Design of International Trade Agreements: Introducing a New Dataset

Preferential trade agreements (PTAs) have been proliferating for the last twenty years. A large literature has studied various aspects of this phenomenon. Until recently, however, many large-N studies have paid only scant attention to variation across PTAs in terms of content and design. Our contribution to this literature is a new dataset on the design of trade agreements that is the most comprehensive in terms of both variables coded and agreements covered. We illustrate the dataset’s usefulness in re-visiting the questions if and to what extent PTAs impact trade flows. The analysis shows that on average PTAs increase trade flows, but that this effect is largely driven by deep agreements. In addition, we provide evidence that provisions that tackle behind-the-border regulation matter for trade flows. The dataset’s contribution is not limited to the PTA literature, however. Broader debates on topics such as institutional design and the legalization of international relations will also benefit from the novel data.

Feather-pecking response of laying hens to feather and cellulose-based rations fed during rearing.

Recent studies in laying hens have shown that feather peckers eat more feathers than nonpeckers. We hypothesized that food pellets containing feathers would decrease the birds' appetite for feathers and thereby also decrease feather pecking. To separate the effect of feathers from that of insoluble fiber per se, additional control groups were fed pellets containing similar amounts of cellulose. Sixty (experiment 1) and 180 (experiment 2) 1-d-old Lohmann-Selected Leghorn birds were divided into 12 groups of 5 (experiment 1) and 15 (experiment 2) birds, respectively, and kept on slatted floors. During the rearing period, 4 groups each had ad libitum access to either a commercial pelleted diet, a pelleted diet containing 5% (experiment 1) or 10% (experiment 2) of chopped feathers, respectively, or a pelleted diet containing 5% (experiment 1) or 10% (experiment 2) of cellulose, respectively. In the consecutive laying period, all groups received a commercial pelleted diet. In experiment 1, feather pecking was recorded weekly from wk 5 to wk 16. In the laying period, observations were made in wk 18, 20, 22, 23, 24, 25, 26, 27, 28, and 30. In experiment 2, feather pecking was recorded weekly from wk 5 to 11, in wk 16 to wk 18, and in wk 20 and 21. At the end of the rearing period, plumage condition per individual hen was scored. Scores from 1 (denuded) to 4 (intact) were given for each of 6 body parts. The addition of 10% of feathers to the diet reduced the number of severe feather-pecking bouts (P < 0.0129) and improved plumage condition of the back area (P < 0.001) significantly compared with control diets. The relationship between feather pecking/eating and the gastrointestinal consequences thereof, which alter feather pecking-behavior, are unclear. Understanding this relationship might be crucial for understanding the causation of feather pecking in laying hens.

A 170 year spring phenology index of plants in eastern China

Extending phenological records into the past is essential for the understanding of past ecological change and evaluating the effects of climate change on ecosystems. A growing body of historical phenological information is now available for Europe, North America, and Asia. In East Asia, long-term phenological series are still relatively scarce. This study extracted plant phenological observations from old diaries in the period 1834–1962. A spring phenology index (SPI) for the modern period (1963–2009) was defined as the mean flowering time of three shrubs (first flowering of Amygdalus davidiana and Cercis chinensis, 50% of full flowering of Paeonia suffruticosa) according to the data availability. Applying calibrated transfer functions from the modern period to the historical data, we reconstructed a continuous SPI time series across eastern China from 1834 to 2009. In the recent 30 years, the SPI is 2.1–6.3 days earlier than during any other consecutive 30 year period before 1970. A moving linear trend analysis shows that the advancing trend of SPI over the past three decades reaches upward of 4.1 d/decade, which exceeds all previously observed trends in the past 30 year period. In addition, the SPI series correlates significantly with spring (February to April) temperatures in the study area, with an increase in spring temperature of 1°C inducing an earlier SPI by 3.1 days. These shifts of SPI provide important information regarding regional vegetation-climate relationships, and they are helpful to assess long term of climate change impacts on biophysical systems and biodiversity.

High Resolution Transmission Spectroscopy as a Diagnostic for Jovian Exoplanet Atmospheres: Constraints from Theoretical Models

We present high resolution transmission spectra of giant planet atmospheres from a coupled 3-D atmospheric dynamics and transmission spectrum model that includes Doppler shifts which arise from winds and planetary motion. We model jovian planets covering more than two orders of magnitude in incident flux, corresponding to planets with 0.9 to 55 day orbital periods around solar-type stars. The results of our 3-D dynamical models reveal certain aspects of high resolution transmission spectra that are not present in simple 1-D models. We find that the hottest planets experience strong substellar to anti-stellar (SSAS) winds, resulting in transmission spectra with net blue shifts of up to 3 km s−1, whereas less irradiated planets show almost no net Doppler shifts. Compared to 1-D models, peak line strengths are significantly reduced for the hottest atmospheres owing to Doppler broadening from a combination of rotation (which is faster for close-in planets under the assumption of tidal locking) and atmospheric winds. Finally, high resolution transmission spectra may be useful in studying the atmospheres of exoplanets with optically thick clouds since line cores for very strong transitions should remain optically thick to very high altitude. High resolution transmission spectra are an excellent observational test for the validity of 3-D atmospheric dynamics models, because they provide a direct probe of wind structures and heat circulation. Ground-based exoplanet spectroscopy is currently on the verge of being able to verify some of our modeling predictions, most notably the dependence of SSAS winds on insolation. We caution that interpretation of high resolution transmission spectra based on 1-D atmospheric models may be inadequate, as 3-D atmospheric motions can produce a noticeable effect on the absorption signatures.

Crystalline Confinement

We show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a finite-dimensional Hilbert space per link, the continuous gauge symmetry is still exact. An efficient cluster algorithm is used to study these exotic phases. The (2+1)-d system is confining at zero temperature with a spontaneously broken translation symmetry. A crystalline phase exhibits confinement via multi stranded strings between chargeanti-charge pairs. A phase transition between two distinct confined phases is weakly first order and has an emergent spontaneously broken approximate SO(2) global symmetry. The low-energy physics is described by a (2 + 1)-d RP(1) effective field theory, perturbed by a dangerously irrelevant SO(2) breaking operator, which prevents the interpretation of the emergent pseudo-Goldstone boson as a dual photon. This model is an ideal candidate to be implemented in quantum simulators to study phenomena that are not accessible using Monte Carlo simulations such as the real-time evolution of the confining string and the real-time dynamics of the pseudo-Goldstone boson.

Short communication: Timing of first milking affects serotonin (5-HT) concentrations

Hormonal signals differentially regulate the timing of parturition, as well lactogenesis and, potentially, colostrum formation in the mammary gland. Non-neuronal serotonin (5-HT) is a homeostatic regulator of the mammary gland. In the current study, we manipulated the timing of first milking to investigate its effects on serum 5-HT and calcium concentrations in the maternal and calf circulation, as well as in colostrum. Twenty-three cows were randomly assigned to a control (CON; n=10) group, milked for the first time at 4h postcalving, or a treatment (TRT; n=13) group, milked for the first time approximately 1 d before calving in addition to 4h postcalving. Maternal blood samples were collected for 4 d precalving, 3 times daily, and 1 blood sample was taken 4h postcalving. Calf blood samples were collected 4 (before first colostrum feeding) and 12h after birth, and at 3 wk of age. Calves from both treatments were fed colostrum from their respective mothers. Serum 5-HT concentrations were greater in CON cows and decreased significantly in TRT cows after milking was initiated precalving (951 vs. 524 ± 111 ng/mL, respectively). Cow serum calcium concentrations were affected by time, beginning to decrease 1 d precalving until 4h postcalving, but this drop in serum calcium was more pronounced in TRT cows. Serum 5-HT and calcium concentrations were negatively correlated (r=-0.57) for the CON cows and positively correlated (r=0.6) for the TRT cows. Maternal calcium and 5-HT decreased similarly due to precalving milking. Calcium and 5-HT concentrations were greater in colostrum collected from TRT cows milked precalving. Overall, calves had higher circulating 5-HT concentrations than cows, and calves born to TRT cows had increased 5-HT concentrations compared with the CON. Precalving milking could affect 5-HT synthesis within the mammary gland and therefore affect maternal 5-HT and calcium concentrations. Further research is needed in ruminants to assess the extent of 5-HT placental transfer, its role on pre- and postnatal development of the calf, the importance of its presence in colostrum, and potential long-term effects on calf health

The antidepressant fluoxetine protects the hippocampus from brain damage in experimental pneumococcal meningitis.

BACKGROUND High mortality and morbidity rates are observed in patients with bacterial meningitis (BM) and urge for new adjuvant treatments in addition to standard antibiotic therapies. In BM the hippocampal dentate gyrus is injured by apoptosis while in cortical areas ischemic necrosis occurs. Experimental therapies aimed at reducing the inflammatory response and brain damage have successfully been evaluated in animal models of BM. Fluoxetine (FLX) is an anti-depressant of the selective serotonin reuptake inhibitors (SSRI) and was previously shown to be neuroprotective in vitro and in vivo. We therefore assessed the neuroprotective effect of FLX in experimental pneumococcal meningitis. METHODS Infant rats were infected intracisternally with live Streptococcus pneumoniae. Intraperitoneal treatment with FLX (10mgkg(-1)d(-1)) or an equal volume of NaCl was initiated 15min later. 18, 27, and 42h after infection, the animals were clinically (weight, clinical score, mortality) evaluated and subject to a cisternal puncture and inflammatory parameters (i.e., cyto-/chemokines, myeloperoxidase activity, matrix metalloproteinase concentrations) were measured in cerebrospinal fluid (CSF) samples. At 42h after infection, animals were sacrificed and the brains collected for histomorphometrical analysis of brain damage. RESULTS A significant lower number of animals treated with FLX showed relevant hippocampal apoptosis when compared to littermates (9/19 animals vs 18/23, P=0.038). A trend for less damage in cortical areas was observed in FLX-treated animals compared to controls (13/19 vs 13/23, P=ns). Clinical and inflammatory parameters were not affected by FLX treatment. CONCLUSION A significant neuroprotective effect of FLX on the hippocampus was observed in acute pneumococcal meningitis in infant rats.

GOCE precise orbit determination for the entire Mission – challenges in the final mission phase

The Gravity field and steady-state Ocean Circulation Explorer (GOCE), ESA’s first Earth Explorer core mission, was launched on March 17, 2009 into a sunsynchronous dusk-dawn orbit and eventually re-entered into the Earth’s atmosphere on November 11, 2013. A precise science orbit (PSO) product was provided by the GOCE High-level Processing Facility (HPF) from the GPS high-low Satellite-to-Satellite Tracking (hl-SST) data from the beginning until the very last days of the mission. We recapitulate the PSO procedure and refer to the results achieved until the official end of the GOCE mission on October 21, 2013, where independent validations with Satellite Laser ranging (SLR) measurements confirmed a high quality of the PSO product of about 2 cm 1-D RMS. We then focus on the period after the official end of the mission, where orbits could still be determined thanks to the continuously running GPS receivers delivering high quality data until a few hours before the re-entry into the Earth’s atmosphere. We address the challenges encountered for orbit determination during these last days and report on adaptions in the PSO procedure to also obtain good orbit results at the unprecedented low orbital altitudes below 224 km.

The role of seasonality of mineral dust concentration and size on glacial/interglacial dust changes in the EPICA Dronning Maud Land ice core

We present a record of particulate dust concentration and size distribution in subannual resolution measured on the European Project for Ice Coring in Antarctica (EPICA) Dronning Maud Land (EDML) ice core drilled in the Atlantic sector of the East Antarctic plateau. The record reaches from present day back to the penultimate glacial until 145,000 years B.P. with subannual resolution from 60,000 years B.P. to the present. Mean dust concentrations are a factor of 46 higher during the glacial (~850–4600 ng/mL) compared to the Holocene (~16–112 ng/mL) with slightly smaller dust particles during the glacial comparedto the Holocene and with an absolute minimum in the dust size at 16,000 years B.P. The changes in dust concentration are mainly attributed to changes in source conditions in southern South America. An increase in the modal value of the dust size suggests that at 16,000 years B.P. a major change in atmospheric circulation apparently allowed more direct transport of dust particles to the EDML drill site. We find a clear in-phase relation of the seasonal variation in dust mass concentration and dust size during the glacial (r(conc,size) = 0.8) but no clear phase relationship during the Holocene (0 1-D model describing the transport of the dust to the ice sheet using the size as an indicator for transport intensity, we find that the effect of the changes in the seasonality of the source emission strength and the transport intensity on the dust decrease over Transition 1 can significantly contribute to the large decrease of dust concentration from the glacial to the Holocene.

Einfluss des therapeutischen Qi auf die Herzratenvariabilität bei Akupunktur: Eine randomisierte kontrollierte Studie

Hintergrund: In einer kürzlich durchgeführten Studie konnten Probanden bei der Akupunktur eine Stimulation mittels «therapeutischem Qi» wahrnehmen, obwohl mechanische und psychologische Faktoren ausgeschlossen wurden. Nun untersuchten wir, ob das therapeutische Qi auch die Herzratenvariabilität messbar beeinflusst. Methoden: Es handelte sich um eine randomisierte, kontrollierte, einfach verblindete Crossover-Studie mit 30 Probanden. Mithilfe einer Vorrichtung wurde eine Akupunkturnadel in den Akupunkt Pe6 eingeführt. Mit einer weiteren Vorrichtung wurde der herausragende Teil der Nadel so fixiert, dass bei Berührung des Nadelendes die Übertragung von mechanischen Bewegungen auf die Nadelspitze ausgeschlossen werden konnte. Bei der anschließenden Prüfintervention wurde das Nadelende zur Stimulation des Qi durch den Therapeuten berührt, bei der Kontrollintervention wurde die Nadel nicht berührt, sodass das Qi nicht stimuliert wurde. Bei der Nullintervention wurde keine Nadel gesetzt. Bei jeder Intervention wurden jeweils vorher und nachher Parameter der Herzratenvariabilität (HRV) ermittelt. Ergebnisse: Zwischen den drei Interventionen konnten keine signifikanten Unterschiede der HRV-Parameter festgestellt werden. Zwischen Baseline- und Endmessung sank die Herzfrequenz bei der Kontroll- und Prüfintervention (-2 min-1, d = 0,24 bzw. -2 min-1, d = 0,24), die RMSSD stieg mit der Nadelberührung bzw. der Stimulation des Qi signifikant an (+9.7 ms, d = -0.32). Schlussfolgerung: Die zuvor subjektiv wahrgenommene Stimulation mit therapeutischem Qi konnte innerhalb dieses Settings anhand von HRV-Parametern nicht ausreichend bestätigt werden.

106: Synthetic preimplantation factor (sPIF*) promotes neuroprotection by modulating PKA/PKC kinases

OBJECTIVE: Survivors of premature birth suffer from long term disabilities. Synthetic PreImplantation Factor (sPIF*) modulates inflammatory responses and reverses neuroinflammation. Proteinkinase A (PKA) and protein kinase C (PKC) are crucial signaling molecules. PKA up-regulates IL-10 and brain-derived neurotrophic factor (BDNF) expression, which exert neuroprotective effects. Anti-apoptotic phosphorylation of Bad is mediated by PKA. PKC phosphorylates GAP-43, a marker for neuronal plasticity and structural recovery. We explored sPIF protective role in neuronal (N2a) cells and in a rat model of encephalopathy of prematurity. *proprietary. STUDY DESIGN: Cells were subjected to LPS and treated with sPIF or scrambled sPIF. Neonatal rats (postnatal day 3: P3) were subjected to LPS, ligation of carotid artery, and hypoxia (8% O2, 65min; n¼ 30). sPIF (0.75mg/kg twice daily) was injected (P6-13) and brains harvested at P13. sPIF’s potential and mechanisms were evaluated using immunohistochemistry, ELISA, Western Blot, and qRT-PCR. Data were analyzed using two-tailed Student’s t-test. P<0.05 wasconsidered statistically significant. RESULTS: In vitro sPIF increased PKA/PKC activity in time dependent manner (Fig. 1A). sPIF induced higher IL-10, BDNF, and GAP-43 and lower CASP3, BAD, and TNF-a mRNA levels (Fig. 1B,C). sPIF increased pGap-43/Gap-43 and decreased pBad/Bad ratio while decreasing Bad (Fig. 1 D,E). In brain tissue sPIF treatment resulted in rescued neuronal number (NeuN positive cells) and reduced apoptosis (Casp-3 positive cells) with decreased glial (Iba-1 positive cells) activation (Fig. 2A,B). The Iba-1 morphology changed from predominantly amoeboid to ramified state. Additionally sPIF increased IL-10 mRNA levels (Fig. 2C) and pGap-43/Gap-43 ratio (Fig. 2D). CONCLUSION: sPIF modulates PKA/PKC pathways reducing apoptosis and inflammatory responses while increasing neuronal plasticity and survival. The identified PKA/PKC regulatory axis strengthens the potential of sPIF in reducing the burden of prematurity.