The Brezis-Nirenberg type problem involving the square root of the Laplacian

We establish existence and non-existence results to the Brezis-Nirenberg type problem involving the square root of the Laplacian in a bounded domain with zero Dirichlet boundary condition.

Luc-Actes: une unité à construire

(Résumé de l'ouvrage) This volume contains the papers presented at the 47th Colloquium Biblicum Lovaniense (Leuven, 1998). The general theme of the meeting was the unity of the Gospel of Luke and the Acts of the Apostles. Main papers on this topic were read by R.L. Brawley, J. Delobel, A. Denaux, J.A. Fitzmeyer, F.W. Horn, J. Kremer, A. Lindemann, O. Mainville, D. Marguerat, F. Neirynck, W. Radl, M. Rese, J. Taylor, C.M. Tuckett, and J. Verheyden. While a large majority of scholars agree that Luke intended his work to cover both the past and the continuing history of Jesus (Gospel and Acts), the essays also illustrate the complexities of this view on the unity of Luke-Acts when it comes to interpret the various aspects of Lukan theology, christology, pneumatology, and ecclesiology, the expansion of the Church in light of its Jewish origins, the genre of Luke-Acts, and the literary and stylistic means Luke used to make his work a unity. In total the volume includes some 40 papers, of which 24 are offered papers: L. Alexander, H. Baarlink, M. Bachmann, D. Bechard, T.L. Brodie, G.P. Carras, A. del Agua, C. Focant, G. Geiger, B.J. Koet, V. Koperski, D.P. Moessner, G. Oegema, J. Pichler, E. Plümacher, A. Puig i Tarrèch, U. Schmid, B. Schwank, N. Taylor, P.J. Tomson, S. Van den Eynde, S. Walton, G. Wasserberg, F. Wilk. This collection is an invaluable contribution to current discussions in Lukan study and to a nuanced understanding of the relationship between Luke's two volumes.

The Multiple-partners assignment game with heterogeneous sales and multi-unit demands: competitive equilibria

A multiple-partners assignment game with heterogeneous sales and multiunit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of units. We define a competitive equilibrium for this generalized assignment game and prove its existence by using only linear programming. In particular, we show how to compute equilibrium price vectors from the solutions of the dual linear program associated to the primal linear program defined to find optimal assignments. Using only linear programming tools, we also show (i) that the set of competitive equilibria (pairs of price vectors and assignments) has a Cartesian product structure: each equilibrium price vector is part of a competitive equilibrium with all optimal assignments, and vice versa; (ii) that the set of (restricted) equilibrium price vectors has a natural lattice structure; and (iii) how this structure is translated into the set of agents' utilities that are attainable at equilibrium.

Standardization of serological tests for detecting anti-Trypanosoma cruzi antibodies in dogs

This paper reports on the standardization of four serological reactions currently used in human serodiagnosis for the detection of anti-Trypanosoma cruzi antibodies in naturally and experimentally infected dogs. Indirect immunofluorescence test (IFAT) and hemagglutination test (IHAT) were standardized, and complement fixation test (CFT) and direct agglutination test (DAT) were used for diagnostic confirmation. Four hundred and eighty one mongrel dogs that were studied by xenodiagnosis were used: (1) parasitemic dogs of two localities of endemic area (EA) of Santiago del Estero province in Argentina (n = 134); (2) non-parasitemic dogs of the same area (n = 285); (3) dogs experimentally infected with T. cruzi in the patent period (n = 6); (4) non-infected dogs (n = 56) which were born in the city of Buenos Aires (BA), one non-EA for Chagas' disease. For IFAT, parasitemic dogs EA showed 95% of reactive sera. Non parasitemic dogs EA showed 77% of non reactive sera. None sera from BA were reactive for dilutions higher than four. For IHAT, 84% of sera of parasitemic dogs EA showed serological reactivity and among non parasitemic dogs BA, 61% were non reactive, while the remainder showed at most titres of 1/16. The cut-off titres for IFAT and IHAT were 1/16 and 1/32 respectively, and for CFT and DAT 1/1 and 1/128 respectively. Sensitivity for IFAT, IHAT, CF and DAT were 95%, 84%, 97% and 95% respectively.

Radiocarbon dating of modern groundwater: the role of the unsaturated zone

Biological and physical processes occurring in soils may lead to significant isotopic changes between the isotopic compositions of atmospheric CO2 and of soil CO2. Also, during water and gas transport from the soil surface to the water table, isotopic changes likely occur due to numerous physical processes such as gas production and diffusion, water advection, and gas-water-rock interactions. In most cases, these changes are not included in the correction models developed for groundwater dating, whereas they can significantly impact the calculation of the 14C age. We explore the role of these processes using: i) experimental data from two aquifer sites (Fontainebleau sands and Astian sands, France), ii) a distributed model to simulate the 14C activities of soil CO2, and iii) numerical simulations in order to highlight the role of the physical processes.¦The 13C content in soil CO2 showed seasonal variations and highlighted the competition between CO2 production and CO2 diffusion. Their respective contributions played a significant role in defining the isotopic composition of CO2 at the water table. On both study sites, variations of the 14C activity in soil CO2 reflect the competition between the fluxes of root derived-CO2 and organic matter derived-CO2. Since the nuclear weapon tests in the fifties and sixties, soil CO2 became significantly depleted in 14C compared to modern atmospheric CO2. Models that take into account this 14C depletion in soil CO2 for dating modern groundwater would lead to apparent younger 14C ages than models that only consider the 14C activity in atmospheric CO2. Moreover, since 2000-2005, the inverse effect is observed as soil CO2 is enriched in 14C compared to atmospheric CO2.¦Therefore, we conclude that the isotopic composition of CO2 at the water table have to be taken into account for the dating of modern groundwater. This requires a systematic sampling of soil CO2 and the measurement of its 13C and 14C contents. We used this information in a numerical simulation to calculate the evolution of isotopic composition of CO2 from the soil surface to the water table. This simulation integrated physical processes in the unsaturated zone (e.g. CO2 production and diffusion, water advection, etc.) and gas-water-rock interactions.

Tests de dépistage de drogues dans les écoles et les entreprises

Problématiques sur le plan éthique, mais aussi sur le plan juridique, les tests de dépistage des substances psychoactives en milieu scolaire et en milieu professionnel renvoient d'abord et avant tout à un examen d'aptitude. Celui-ci est du ressort de l'intervenant médical, sous couvert des garanties d'adéquation, de pertinence et de proportionnalité des moyens d'évaluation mis en oeuvre, ainsi que des règles relatives au consentement et à la confidentialité.

DNA evidence, probabilistic evaluation and collaborative tests.

Forensic scientists working in 12 state or private laboratories participated in collaborative tests to improve the reliability of the presentation of DNA data at trial. These tests were motivated in response to the growing criticism of the power of DNA evidence. The experts' conclusions in the tests are presented and discussed in the context of the Bayesian approach to interpretation. The use of a Bayesian approach and subjective probabilities in trace evaluation permits, in an easy and intuitive manner, the integration into the decision procedure of any revision of the measure of uncertainty in the light of new information. Such an integration is especially useful with forensic evidence. Furthermore, we believe that this probabilistic model is a useful tool (a) to assist scientists in the assessment of the value of scientific evidence, (b) to help jurists in the interpretation of judicial facts and (c) to clarify the respective roles of scientists and of members of the court. Respondents to the survey were reluctant to apply this methodology in the assessment of DNA evidence.

Le soignant face au patient lombalgique chronique: l'expérience clinique de l'Unité Rachis à l'Hôpital orthopédique [The health professional's approach to chronic lumbago: clinical experience at the Spinal Cord Unit at the orthopedic hospital]

The treatment of back pain patients refers to the biopsychosocial model of care. This model includes illness in patient's personal and relational life. In this context, it is not only the physical symptom of the patient which is focused but also his psychological distress often hidden by algic complain. Clinical interviews conducted with back pain patients have highlighted psychosocial aspects able to influence the relationship between health care user and provider. Taking account of psychosocial aspects implies an interdisciplinary approach that identify and assesses patients' needs through adequate tools. As a result, the different health care providers implied with back pain patients have to collaborate in a structured network.

Biological variation in Anopheles darlingi root

Behavioural variation in the South American malaria vector Anopheles darlingi is described. At the centre of its distribution, in forest areas close to the city of Manaus, Brazil, it is primarily exophagic and exophilic. Mosquitoes from this area are chromosomally diverse. Towards the northern edge of its distribution (in Guyana and Venezuela) it is more endophagic and less diverse chromosomally. Similarly in the south (in the state of Minas Gerais) it is less polymorphic. In this area, however, it is primarily zoophilic and exophagic. Evidence is presented that female wing size may vary between populations. The possibility that this widely distributed species may be a complex could have important implications for future malaria control schemes.

Rabies virus infection of cultured adult mouse dorsal root ganglion neurons

An in vitro model of adult dorsal root ganglion neurons infection by rabies virus is described. Viral marked neurotropism is observed, and the percentage and the degree of infection of the neurons is higher than in non neuronal cells, even if neurons are the minority of the cells in the culture. The neuritic tree is also heavily infected by the virus.