On the fundamental group of the complement of a complex hyperplane arrangement

We construct two combinatorially equivalent line arrangements in the complex projective plane such that the fundamental groups of their complements are not isomorphic. The proof uses a new invariant of the fundamental group of the complement to a line arrangement of a given combinatorial type with respect to isomorphisms inducing the canonical isomorphism of the first homology groups.Comment: 12 pages, Latex2e with AMSLaTeX 1.2, no figures; this last version is almost the same as published in Functional Analysis and its Applications 45:2 (2011), 137-14

Effects of weather-related episodic events in lakes: an analysis based on high-frequency data

1. Weather-related episodic events are typically unpredictable, and their duration is often short. Abiotic and biological responses are often missed in routine monitoring. These responses are, however, now of particular relevance given projected changes in extreme weather conditions. 2. We present data from high-frequency monitoring stations from lakes in Europe, North America and Asia that illustrate two classes of abiotic effects of weather events: (i) generally short-lived effects of storms on lake thermal structure and (ii) the more prolonged effects of high rainfall events on dissolved organic matter levels and water clarity. We further relate these abiotic effects to changes in dissolved oxygen or in chlorophyll a levels. 3. Three differing causes for weather-related decreases in surface dissolved oxygen levels were observed: (i) entrainment of anoxic water from depth, (ii) reduction in primary productivity and (iii) increased mineralisation of organic carbon delivered from the catchment. 4. The duration of in-lake effects tended to be longer for events driven by weather conditions with a longer return period, that is, conditions that were relatively more severe and less frequent at a site. While the susceptibility of lakes to change was related in part to the severity of the meteorological drivers, the impacts also depended on site-specific factors in some cases. 5. The availability of high-frequency data at these sites provided insight into the capacity of the lakes to absorb current and future pressures. Several of the changes we observed, including increases in carbon availability, decreases in photosynthetically active radiation and increased disturbance, have the capacity to shift lakes towards an increased degree of heterotrophy. The magnitude and direction of any such change will, however, also depend on the magnitude and direction of climate change for a given location and on lake and catchment characteristics

Daphniaperformance on diets containing different combinations of high-quality algae, heterotrophic bacteria, and allochthonous particulate organic matter

Filter-feeding zooplankton in lakes feed on a mixture of phytoplankton, bacteria, and terrestrial particles and the proportions and nutritional value of these components can be highly variable. However, the extent to which food quality interacts with food quantity in affecting overall zooplankton performance is not yet fully resolved. Here we performed laboratory feeding experiments to test how the performance of the unselective filter feederDaphnia galeatawas affected if various quantities of high-quality food (the phytoplanktonRhodomonas) were diluted with low-quality food such as heterotrophic bacteria (Pseudomonas) or terrestrial detritus particles (t-POM) from the riparian zone of a boreal forest stream. We hypothesised: that increased proportions of bacteria and t-POM in the diet will lead to decreased survival, somatic growth; and reproduction ofDaphniadespite the presence of phytoplankton; that these effects are more pronounced for t-POM than for heterotrophic bacteria; and that this response is stronger when phytoplankton availability is low. Increasing the concentrations ofPseudomonasaffectedDaphniasurvival, growth, and reproduction negatively whenRhodomonaswas available at intermediate (0.37 mgC/L) and high (0.55 mgC/L) quantities. WhenRhodomonasquantity was low (0.22 mgC/L), the addition ofPseudomonasgenerally resulted in betterDaphniaperformance except at very high concentrations of the bacterium relative toRhodomonas. In contrast, the addition of t-POM was detrimental for overallDaphniaperformance at allRhodomonasconcentrations. Daphniaperformance was best described by a model including the interaction between food quality and quantity, with stronger negative effects onDaphniawhen high-quality food was supplemented with t-POM than withPseudomonas. The results indicate that the ability of zooplankton to use low-quality food is affected by the concurrent availability of high-quality food. Furthermore, food sources that can be used but do not fulfil dietary requirements of grazers (e.g. bacteria), may still provide nutritional benefits as long as other complementary food components are available in sufficient quantities to compensate for biochemical deficiencies. Therefore, we conclude that heterotrophic bacteria, but not peat layer t-POM, can be an important component of zooplankton diets in boreal lakes, especially if the concentration of phytoplankton is low

Wind and trophic status explain within and among-lake variability of algal biomass

Phytoplankton biomass and production regulates key aspects of freshwater ecosystems yet its variability and subsequent predictability is poorly understood. We estimated within-lake variation in biomass using high-frequency chlorophyll fluorescence data from 18 globally distributed lakes. We tested how variation in fluorescence at monthly, daily, and hourly scales was related to high-frequency variability of wind, water temperature, and radiation within lakes as well as productivity and physical attributes among lakes. Within lakes, monthly variation dominated, but combined daily and hourly variation were equivalent to that expressed monthly. Among lakes, biomass variability increased with trophic status while, within-lake biomass variation increased with increasing variability in wind speed. Our results highlight the benefits of high-frequency chlorophyll monitoring and suggest that predicted changes associated with climate, as well as ongoing cultural eutrophication, are likely to substantially increase the temporal variability of algal biomass and thus the predictability of the services it provides.Peer reviewe

Data Descriptor : Long-term chloride concentrations in North American and European freshwater lakes

Anthropogenic sources of chloride in a lake catchment, including road salt, fertilizer, and wastewater, can elevate the chloride concentration in freshwater lakes above background levels. Rising chloride concentrations can impact lake ecology and ecosystem services such as fisheries and the use of lakes as drinking water sources. To analyze the spatial extent and magnitude of increasing chloride concentrations in freshwater lakes, we amassed a database of 529 lakes in Europe and North America that had greater than or equal to ten years of chloride data. For each lake, we calculated climate statistics of mean annual total precipitation and mean monthly air temperatures from gridded global datasets. We also quantified land cover metrics, including road density and impervious surface, in buffer zones of 100 to 1,500m surrounding the perimeter of each lake. This database represents the largest global collection of lake chloride data. We hope that long-term water quality measurements in areas outside Europe and North America can be added to the database as they become available in the future.Peer reviewe

Pediatricians and nutritionists knowledge about treatment of cow milk allergy in infants

OBJECTIVE: Evaluate the knowledge of pediatricians and nutritionists regarding the exclusion diet of cow milk and derivates, with emphasis on questions related to the nutrition of children submitted to such diet. METHODS: Cross-sectional study that enrolled pediatricians (n=53) and nutritionists (n=29) from public hospitals in São Paulo, Brazil, during 2005. Data was collected through self-administered questionnaires. RESULTS: The age of the professionals varied from 21 to 50 years old. Regarding professional experience, 41.2% were graduated for less than five years and 91.6% had a specialization course, masters and/or PhD degree. The vast majority of professionals (97.5%) confirmed that they regularly evaluated the diet of children that needed exclusion of cow milk. However, only 48% of the professionals conducted a more detailed evaluation of the diet, including calculations of food ingestion. Only 38.7% of the professionals compared child s food ingestion with some recommended pattern. Recommendations for daily ingestion of calcium by children up to the age of 36 months were properly mentioned by 22% of the pediatricians and 60.7% of the nutritionists (p=0.001). Inadequate cow milk substitute products were recommended by 66% of the pediatricians and by 48.3% of the nutritionists. Regarding labels of industrialized products, 81.6% of the pediatricians and 96.4% of the nutritionists advised the parents to look for all terms that could indicate the presence of cow milk protein. CONCLUSIONS: Pediatricians and nutritionists made conceptual errors in their main recommendations regarding the treatment of cow milk protein allergy.OBJETIVO: Avaliar o conhecimento de pediatras e nutricionistas sobre a dieta de exclusão do leite de vaca e seus derivados, com ênfase em questões relacionadas à nutrição da criança. MÉTODOS: Estudo transversal descritivo, do qual participaram pediatras (n=53) e nutricionistas (n=29), vinculados a hospitais públicos do Município de São Paulo, no ano de 2005. Os dados foram coletados por questionário auto-administrado. RESULTADOS: A idade dos profissionais variou de 21 a 50 anos. Quanto ao tempo de graduação, 41,2% eram formados a menos de cinco anos e 91,6% possuíam especialização, mestrado e/ou doutorado. A maioria (97,5%) afirmou avaliar a dieta de crianças submetidas à exclusão do leite de vaca, entretanto, somente 48% o faziam de forma mais detalhadas, incluindo o cálculo da ingestão alimentar. Apenas 38,7% comparam a ingestão alimentar da criança com algum padrão de recomendação. A recomendação diária da ingestão de cálcio para crianças com até 36 meses foi corretamente assinalada por 22% dos pediatras e 60,7% dos nutricionistas (p=0,001). Produtos não adequados como substitutos do leite de vaca seriam recomendados por 66% dos pediatras e 48,3% dos nutricionistas. Com relação à leitura de rótulos de produtos industrializados, 81,6% dos pediatras e 96,4% dos nutricionistas orientam os pais a ler todos os termos que indicam a presença das proteínas do leite de vaca. CONCLUSÕES: Os pediatras e nutricionista demonstraram erro conceitual no que se refere às principais recomendações terapêuticas na alergia às proteínas do leite de vaca.Universidade Federal de São Paulo (UNIFESP)UNIFESPUNIFESPSciEL

Comparison of reprojected bone SPECT/CT and planar bone scintigraphy for the detection of bone metastases in breast and prostate cancer

Objective: The aim of this study was to compare reprojected bone SPECT/CT (RBS) against planar bone scintigraphy (BS) in the detection of bone metastases in breast and prostate cancer patients.Methods: Twenty-six breast and 105 prostate cancer patients with high risk for bone metastases underwent 99mTc-HMDP BS and whole-body SPECT/CT, 1.5-T whole-body diffusion-weighted MRI and 18F-NaF or 18F-PSMA-1007 PET/CT within two prospective clinical trials (NCT01339780 and NCT03537391). Consensus reading of all imaging modalities and follow-up data were used to define the reference standard diagnosis. The SPECT/CT data were reprojected into anterior and posterior views to produce RBS images. Both BS and RBS images were independently double read by two pairs of experienced nuclear medicine physicians. The findings were validated against the reference standard diagnosis and compared between BS and RBS on the patient, region and lesion levels.Results: All metastatic patients detected by BS were also detected by RBS. In addition, three metastatic patients were missed by BS but detected by RBS. The average patient-level sensitivity of two readers for metastases was 75% for BS and 87% for RBS, and the corresponding specificity was 79% for BS and 39% for RBS. The average region-level sensitivity of two readers was 64% for BS and 69% for RBS, and the corresponding specificity was 96% for BS and 87% for RBS.Conclusion: Whole-body bone SPECT/CT can be reprojected into more familiar anterior and posterior planar images with excellent sensitivity for bone metastases, making additional acquisition of planar BS unnecessary.</p