Minimizing the Threat of a Positive Majority Deficit in Two-tier Voting Systems with Equipopulous Units

The mean majority deficit in a two-tier voting system is a function of the partition of the population. We derive a new square-root rule: For odd-numbered population sizes and equipopulous units the mean majority deficit is maximal when the member size of the units in the partition is close to the square root of the population size. Furthermore, within the partitions into roughly equipopulous units, partitions with small even numbers of units or small even-sized units yield high mean majority deficits. We discuss the implications for the winner-takes-all system in the US Electoral College.

Increased intraoperative epidural pressure in lumbar spinal stenosis patients with a positive nerve root sedimentation sign

Purpose The sedimentation sign (SedSign) has been shown to discriminate well between selected patients with and without lumbar spinal stenosis (LSS). The purpose of this study was to compare the pressure values associated with LSS versus non-LSS and discuss whether a positive SedSign may be related to increased epidural pressure at the level of the stenosis. Methods We measured the intraoperative epidural pressure in five patients without LSS and a negative SedSign, and in five patients with LSS and a positive SedSign using a Codman TM catheter in prone position under radioscopy. Results Patients with a negative SedSign had a median epidural pressure of 9 mmHg independent of the measurement location. Breath and pulse-synchronous waves accounted for 1–3 mmHg. In patients with monosegmental LSS and a positive SedSign, the epidural pressure above and below the stenosis was similar (median 8–9 mmHg). At the level of the stenosis the median epidural pressure was 22 mmHg. A breath and pulse-synchronous wave was present cranial to the stenosis, but absent below. These findings were independent of the cross-sectional area of the spinal canal at the level of the stenosis. Conclusions Patients with LSS have an increased epidural pressure at the level of the stenosis and altered pressure wave characteristics below. We argue that the absence of sedimentation of lumbar nerve roots to the dorsal part of the dural sac in supine position may be due to tethering of affected nerve roots at the level of the stenosis.

Studies on the role of BCR in Philadelphia chromosome-positive leukemias

It is well established that the chimeric Bcr-Abl oncoprotein resulting from fusing 3$\sp\prime$ ABL sequences on chromosome 9 to 5$\sp\prime$ BCR sequences on chromosome 22 is the primary cause of Philadelphia chromosome-positive (Ph$\sp1$) leukemias. Although it is clear that the cis-Bcr sequence present within Bcr-Abl is able to activate the tyrosine kinase activity and F-actin binding capacity of Bcr-Abl which is critical for the transforming ability of BCR-ABL, the biological role of normal BCR gene product (P160 BCR) remains largely unknown. The previous finding by our lab that P160 BCR forms stable complexes with Bcr-Abl oncoprotein in Ph$\sp1$-positive leukemic cells implicated P160 BCR in the pathogenesis of Ph$\sp1$-positive leukemias. Here, we demonstrated that P160 BCR physically interacts with P210 BCR-ABL and become tyrosine phosphorylated when co-expressed with P210 BCR-ABL in COS1 cells while no tyrosine phosphorylation of P160 BCR can be detected when it is expressed alone. The results suggest that P160 BCR is a target for the Bcr-Abl tyrosine kinase. Although we were unable to detect stable physical interaction between P160 BCR and P145 c-ABL (Ib) in COS1 cells overexpressing both proteins, P160 BCR was phosphorylated on tyrosine residues when co-expressed with activated tyrosine kinase of P145 c-ABL (Ib). In addition, studies of tyrosine phosphorylation of BCR deletion mutants and 2-dimensional tryptic mapping of in vitro phosphorylated wild type and mutant (tyrosine to phenylalanine) Bcr-Abl indicated that tyrosine 177, 283 and 360 of Bcr represent some of the phosphorylation sites. Even though the significance of tyrosine phosphorylation of residues 283 and 360 of Bcr has not been determined, tyrosine phosphorylation of residue 177 within Bcr-Abl has been reported to be critical for its interaction with Grb2 molecule and subsequent activation of Ras signaling pathway. Here, we further demonstrated that tyrosine 177 phosphorylated P160 BCR is also able to bind to Grb2 molecule suggesting the role of P160 BCR in the Ras signaling pathway.^ Surprisingly, using 3$\sp\prime$ BCR antisense oligonucleotide to reduce the expression of P160 BCR without interfering with the expression of BCR-ABL resulted in increased growth or survival of B15 cells and M3.16 cells expressing either P185 BCR-ABL or P210 BCR-ABL respectively. The results provided strong arguments that P160 BCR may function as a negative regulator for cell growth.^ Considering all these results, we hypothesize that P160 BCR negatively regulate cell growth and tyrosine phosphorylation of P160 BCR turns off its growth suppressor function and turns on its growth stimulatory function. We further speculate that Bcr-Abl oncoprotein in leukemia cells stably interacts with and constitutively phosphorylates portions of P160 BCR converting it into a growth stimulatory state. In normal cells, the growth suppressor effects of P160 BCR could only be transiently and conditionally switched to growth stimulatory action by a strictly regulated cellular tyrosine kinase such as c-ABL. The model will be further discussed in the text. ^

Digital Technologies and Traditional Cultural Expressions : A Positive Look at a Difficult Relationship

Digital technologies have often been perceived as imperilling traditional cultural expressions (TCE). This angst has interlinked technical and socio-cultural dimensions. On the technical side, it is related to the affordances of digital media that allow, among other things, instantaneous access to information without real location constraints, data transport at the speed of light and effortless reproduction of the original without any loss of quality. In a socio-cultural context, digital technologies have been regarded as the epitome of globalisation forces - not only driving and deepening the process of globalisation itself but also spreading its effects. The present article examines the validity of these claims and sketches a number of ways in which digital technologies may act as benevolent factors. We illustrate in particular that some digital technologies can be instrumentalised to protect TCE forms, reflecting more appropriately the specificities of TCE as a complex process of creation of identity and culture. The article also seeks to reveal that digital technologies - and more specifically the Internet and the World Wide Web - have had a profound impact on the ways cultural content is created, disseminated, accessed and consumed. We argue that this environment may have generated various opportunities for better accommodating TCE, especially in their dynamic sense of human creativity.

2 years versus 1 year of adjuvant trastuzumab for HER2-positive breast cancer (HERA): an open-label, randomised controlled trial

BACKGROUND Trastuzumab has established efficacy against breast cancer with overexpression or amplification of the HER2 oncogene. The standard of care is 1 year of adjuvant trastuzumab, but the optimum duration of treatment is unknown. We compared 2 years of treatment with trastuzumab with 1 year of treatment, and updated the comparison of 1 year of trastuzumab versus observation at a median follow-up of 8 years, for patients enrolled in the HERceptin Adjuvant (HERA) trial. METHODS The HERA trial is an international, multicentre, randomised, open-label, phase 3 trial comparing treatment with trastuzumab for 1 and 2 years with observation after standard neoadjuvant chemotherapy, adjuvant chemotherapy, or both in 5102 patients with HER2-positive early breast cancer. The primary endpoint was disease-free survival. The comparison of 2 years versus 1 year of trastuzumab treatment involved a landmark analysis of 3105 patients who were disease-free 12 months after randomisation to one of the trastuzumab groups, and was planned after observing at least 725 disease-free survival events. The updated intention-to-treat comparison of 1 year trastuzumab treatment versus observation alone in 3399 patients at a median follow-up of 8 years (range 0-10) is also reported. This study is registered with ClinicalTrials.gov, number NCT00045032. FINDINGS We recorded 367 events of disease-free survival in 1552 patients in the 1 year group and 367 events in 1553 patients in the 2 year group (hazard ratio [HR] 0·99, 95% CI 0·85-1·14, p=0·86). Grade 3-4 adverse events and decreases in left ventricular ejection fraction during treatment were reported more frequently in the 2 year treatment group than in the 1 year group (342 [20·4%] vs 275 [16·3%] grade 3-4 adverse events, and 120 [7·2%] vs 69 [4·1%] decreases in left ventricular ejection fraction, respectively). HRs for a comparison of 1 year of trastuzumab treatment versus observation were 0·76 (95% CI 0·67-0·86, p<0·0001) for disease-free survival and 0·76 (0·65-0·88, p=0·0005) for overall survival, despite crossover of 884 (52%) patients from the observation group to trastuzumab therapy. INTERPRETATION 2 years of adjuvant trastuzumab is not more effective than is 1 year of treatment for patients with HER2-positive early breast cancer. 1 year of treatment provides a significant disease-free and overall survival benefit compared with observation and remains the standard of care. FUNDING F Hoffmann-La Roche (Roche).

Conjugal Transfer of the Tn916-like Transposon TnFO1 from Enterococcus faecalis Isolated from Cheese to Other Gram-positive Bacteria

A Tn916-like transposon (TnFO1) was found in the multiple antibiotic resistant Enterococcus faecalis strain FO1 isolated from a raw milk cheese. In this strain, the tetracycline determinant was localized by DNA-DNA hybridization with a tetM nucleotide probe on the chromosome and on a 30-kb plasmid. The transposon TnFO1 was identified and characterized by DNA-DNA hybridization experiments with the five internal HincII fragments of Tn916. The tetracycline resistance determinant was identified by its complete nucleotide sequence as TetM. Transposon TnFO1 was also detected in its circular form by DNA-DNA hybridization and PCR amplification. Both ends including the joining region of the closed circular transposon TnFO1 were sequenced. TnFO1 could be transferred by conjugation from Enterococcus faecalis into Enterococcus faecalis, Lactococcus lactis subsp. lactis biovar. diacetylactis, Listeria innocua, Leuconostoc mesenteroides and Staphylococcus aureus, and from Lactococcus lactis subsp. lactis biovar. diacetylactis into Listeria innocua. Pulsed-field electrophoresis of genomic DNA from E. faecalis FO1 transconjugants showed that transposon TnFO1 integrated at different sites.

Positive Emotionen und Wohlbefinden in der Schule - ein Überblick über Forschungszugänge und Erkenntnisse

Mit dem Ziel, einen Beitrag zum Verständnis der Emotionsentstehung in der Schule zu liefern, wird ein Überblick über Forschungsarbeiten (N=25) gegeben, die explizit die Entwicklung von Freude und Wohlbefinden in der Schule fokussieren, und es wird auf dabei gängige Forschungsmethoden eingegangen. Folgende Fragen werden behandelt: (1) Welche Emotionen erleben Kinder und Jugendliche in der Schule? (2) Worauf sind die Entstehung positiver Emotionen und die Entwicklung des Wohlbefindens in der Schule zurückzuführen? Hintergrund ist auch der pädagogische Anspruch, dass eine Schule aktiv dazu beitragen kann, von den Schülerinnen und Schülern nicht als primär unangenehm, angsteinflößend oder langweilig erlebt zu werden. Als relevante und zugleich von der Schule beeinflussbare Faktoren erwiesen sich beispielsweise die Gestaltung leistungsförderlicher Lernumgebungen und die soziale Integration in der Schule bzw. in der Klasse. Aufgrund des gegenwärtigen Stands der Erkenntnisse wird künftig ein noch differenzierterer Zugang sowohl zu den emotionalen Erlebensqualitäten, den Quellen und Ursachen als auch zu den Konsequenzen von Emotionen und Wohlbefinden in der Schule gefordert.

Convolution roots and differentiability of isotropic positive definite functions on spheres

We prove that any isotropic positive definite function on the sphere can be written as the spherical self-convolution of an isotropic real-valued function. It is known that isotropic positive definite functions on d-dimensional Euclidean space admit a continuous derivative of order [(d − 1)/2]. We show that the same holds true for isotropic positive definite functions on spheres and prove that this result is optimal for all odd dimensions.

Observational Research on NCDs in HIV-Positive Populations: Conceptual and Methodological Considerations

: Noncommunicable diseases (NCDs) account for a growing burden of morbidity and mortality among people living with HIV in low- and middle-income countries (LMICs). HIV infection and antiretroviral therapy interact with NCD risk factors in complex ways, and research into this "web of causation" has so far been largely based on data from high-income countries. However, improving the understanding, treatment, and prevention of NCDs in LMICs requires region-specific evidence. Priority research areas include: (1) defining the burden of NCDs among people living with HIV, (2) understanding the impact of modifiable risk factors, (3) evaluating effective and efficient care strategies at individual and health systems levels, and (4) evaluating cost-effective prevention strategies. Meeting these needs will require observational data, both to inform the design of randomized trials and to replace trials that would be unethical or infeasible. Focusing on Sub-Saharan Africa, we discuss data resources currently available to inform this effort and consider key limitations and methodological challenges. Existing data resources often lack population-based samples; HIV-negative, HIV-positive, and antiretroviral therapy-naive comparison groups; and measurements of key NCD risk factors and outcomes. Other challenges include loss to follow-up, competing risk of death, incomplete outcome ascertainment and measurement of factors affecting clinical decision making, and the need to control for (time-dependent) confounding. We review these challenges and discuss strategies for overcoming them through augmented data collection and appropriate analysis. We conclude with recommendations to improve the quality of data and analyses available to inform the response to HIV and NCD comorbidity in LMICs.

On the signature of positive braids and adjacency for torus knots

The objects of study in this thesis are knots. More precisely, positive braid knots, which include algebraic knots and torus knots. In the first part of this thesis, we compare two classical knot invariants - the genus g and the signature σ - for positive braid knots. Our main result on positive braid knots establishes a linear lower bound for the signature in terms of the genus. In the second part of the thesis, a positive braid approach is applied to the study of the local behavior of polynomial functions from the complex affine plane to the complex numbers. After endowing polynomial function germs with a suitable topology, the adjacency problem arises: for a fixed germ f, what classes of germs g can be found arbitrarily close to f? We introduce two purely topological notions of adjacency for knots and discuss connections to algebraic notions of adjacency and the adjacency problem.

Positive effect of the yellow morph on female reproductive success in the flower colour polymorphic Iris lutescens (Iridaceae), a deceptive species

The deceptive Iris lutescens (Iridaceae) shows a heritable and striking flower colour polymorphism, with both yellow- and purple-flowered individuals growing sympatrically. Deceptive species with flower colour polymorphism are mainly described in the family Orchidaceae and rarely found in other families. To explain the maintenance of flower colour polymorphism in I.lutescens, we investigated female reproductive success in natural populations of southern France, at both population and local scales (within populations). Female reproductive success was positively correlated with yellow morph frequency, at both the population scale and the local scale. Therefore, we failed to observe negative frequency-dependent selection (NFDS), a mechanism commonly invoked to explain flower colour polymorphism in deceptive plant species. Flower size and local flower density could also affect female reproductive success in natural populations. Pollinator behaviour could explain the positive effect of the yellow morph, and our results suggest that flower colour polymorphism might not persist in I.lutescens, but alternative explanations not linked to pollinator behaviour are discussed. In particular, NFDS, although an appealingly simple explanation previously demonstrated in orchids, may not always contribute to maintaining flower colour polymorphism, even in deceptive species.