Invitation à la topologie algébrique. Tome I. Homologie

Ce livre, en deux tomes, est une introduction à la topologie algébrique et plus particulièrement à la théorie de l'homologie. Celle-ci associe à chaque espace topologique un module dont les propriétés algébriques reflètent celles de l'espace considéré. Nous l'appliquons principalement à l'étude des variétés, qui interviennent de manière fondamentale tant en mathématiques qu'en physique. Nous discutons de manière détaillée les divers concepts de dimension et d'orientation des variétés et établissons les résultats fondamentaux que sont les dualités de Poincaré et de Lefschetz.

Bone response to loaded implants with non-matching implant-abutment diameters in the canine mandible

BACKGROUND: One way to evaluate various implant restorations is to measure the amount of bone change that occurs at the crestal bone. The objective of this study was to histologically evaluate the alveolar bone change around a bone-level, non-matching implant-abutment diameter configuration that incorporated a horizontal offset and a Morse taper internal connection. METHODS: The study design included extraction of all mandibular premolars and first molars in five canines. After 3 months, 12 dental implants were placed at three levels in each dog: even with the alveolar crest, 1 mm above the alveolar crest, and 1 mm below the alveolar crest. The implants were submerged on one side of the mandible. On the other side, healing abutments were exposed to the oral cavity (non-submerged). Gold crowns were attached 2 months after implant placement. The dogs were sacrificed 6 months postloading, and specimens were processed for histologic and histometric analyses. RESULTS: Evaluation of the specimens indicated that the marginal bone remained near the top of the implants under submerged and non-submerged conditions. The amount of bone change for submerged implants placed even with, 1 mm below, and 1 mm above the alveolar crest was -0.34, -1.29, and 0.04 mm, respectively (negative values indicate bone loss). For non-submerged implants, the respective values were -0.38, -1.13, and 0.19 mm. For submerged and non-submerged implants, there were significant differences in the amount of bone change among the three groups (P <0.05). The percentage of bone-to-implant contact for submerged implants was 73.3%, 71.8%, and 71.5%. For non-submerged implants, the respective numbers were 73.2%, 74.5%, and 76%. No significant differences occurred with regard to the percentage of bone contact. CONCLUSIONS: Minimal histologic bone loss occurred when dental implants with non-matching implant-abutment diameters were placed at the bone crest and were loaded for 6 months in the canine. The bone loss was significantly less (five- to six-fold) than that reported for bone-level implants with matching implant-abutment diameters (butt-joint connections).

Invitation à la topologie algébrique. Tome II. Cohomologie, variétés

Ce Tome II introduit la cohomologie, qui est une théorie duale de l'homologie, et examine les liens avec cette dernière ainsi que les divers produits construits sur les modules d'homologie et de cohomologie. Nous étudions en détail les variétés topologiques avec ou sans bord, définissons sur celles-ci au moyen de l'homologie une notion d'orientation et la comparons avec les définitions classiques d'orientation pour les variétés différentiables ou triangulables. Nous exposons les théorèmes de dualité de Poincaré, Alexander et Lefschetz et en déduisons les propriétés des formes d'intersection et de la signature des variétés. Le dernier chapitre du livre présente les résultats fondamentaux concernant la différentiabilité et la triangulabilité des variétés, obtenus depuis les années soixante du siècle dernier, tant en grandes dimensions qu'en dimension quatre. Nous discutons également la conjecture de Poincaré classique et ses généralisations. Bien que des démonstrations complètes de ces résultats soient hors de portée d'un ouvrage tel que le nôtre, nous nous sommes attachés à rendre leurs énoncés compréhensibles. Cette vue d'ensemble, et les références à la littérature qui l'accompagnent, fournissent une introduction aux développements récents dans ce riche domaine de la topologie.

Scientific rationale for Saturn׳s in situ exploration

Remote sensing observations meet some limitations when used to study the bulk atmospheric composition of the giant planets of our solar system. A remarkable example of the superiority of in situ probe measurements is illustrated by the exploration of Jupiter, where key measurements such as the determination of the noble gases׳ abundances and the precise measurement of the helium mixing ratio have only been made available through in situ measurements by the Galileo probe. This paper describes the main scientific goals to be addressed by the future in situ exploration of Saturn placing the Galileo probe exploration of Jupiter in a broader context and before the future probe exploration of the more remote ice giants. In situ exploration of Saturn׳s atmosphere addresses two broad themes that are discussed throughout this paper: first, the formation history of our solar system and second, the processes at play in planetary atmospheres. In this context, we detail the reasons why measurements of Saturn׳s bulk elemental and isotopic composition would place important constraints on the volatile reservoirs in the protosolar nebula. We also show that the in situ measurement of CO (or any other disequilibrium species that is depleted by reaction with water) in Saturn׳s upper troposphere may help constraining its bulk O/H ratio. We compare predictions of Jupiter and Saturn׳s bulk compositions from different formation scenarios, and highlight the key measurements required to distinguish competing theories to shed light on giant planet formation as a common process in planetary systems with potential applications to most extrasolar systems. In situ measurements of Saturn׳s stratospheric and tropospheric dynamics, chemistry and cloud-forming processes will provide access to phenomena unreachable to remote sensing studies. Different mission architectures are envisaged, which would benefit from strong international collaborations, all based on an entry probe that would descend through Saturn׳s stratosphere and troposphere under parachute down to a minimum of 10 bar of atmospheric pressure. We finally discuss the science payload required on a Saturn probe to match the measurement requirements.

Scientific Rationale of a Saturn Probe Mission

We describe the main scientific goals to be addressed by future in situ exploration of Saturn.

Entwicklung einer real-time RT-PCR zum Nachweis von equinem Influenzavirus

Equine Influenza ist eine durch Influenza A-Viren verursachte, kontagiöse Respirationserkrankung beim Pferd. In dieser Arbeit wurde eine real-time RT-PCR in einem konservierten Abschnitt des Matrix-Segments des viralen Genoms für die schnelle und sensitive Diagnose von equinen Influenzaviren (EIV) und je eine RT-PCR Methode im Matrix- und im HA-Segment für die molekular-epidemiologische Charakterisierung der Viren entwickelt. Die Primer der real-time RT-PCR sind zu 99.4% der bekannten EIV-Sequenzen und zu 97.7% aller Influenza A-Sequenzen homolog. Die Homologie der Minor Groove Binder (MGB)-Sonde lag bei 99.3% und 99.6%. Diese hohen Werte ermöglichen die Anwendung des Assays für Influenzaviren bei anderen Spezies. Die diagnostische Eignung der Methode wurde mit Hilfe von 20 equinen, 11 porcinen sowie 2 aviären Proben verifiziert. Eine hohe Spezifität für Influenzaviren wurde experimentell und mittels Software-Simulation gezeigt. Die analytische Sensitivität des Tests lag bei 102–103 RNA-Kopien und 100–101 DNA-Kopien, was den Virusnachweis auch bei geringer Virusausscheidung ermöglicht. Alle amplifizierten EIV-Sequenzen konnten phylogenetisch den bekannten Linien zugeordnet werden.

Cometary Isotopic Measurements

Isotopic ratios in comets provide keys for the understanding of the origin of cometary material, and the physical and chemical conditions in the early Solar Nebula. We review here measurements acquired on the D/H, N-14/N-15, O-16/O-18, C-12/C-13, and S-32/S-34 ratios in cometary grains and gases, and discuss their cosmogonic implications. The review includes analyses of potential cometary material available in collections on Earth, recent measurements achieved with the Herschel Space Observatory, large optical telescopes, and Rosetta, as well as recent results obtained from models of chemical-dynamical deuterium fractionation in the early solar nebula. Prospects for future measurements are presented.