Subgroups of small index in Aut(Fn) and Kazhdan's property (T)

We give a series of interesting subgroups of finite index in Aut(Fn). One of them has index 42 in Aut(F3) and infinite abelianization. This implies that Aut(F3) does not have Kazhdan’s property (T) (see [3] and [6] for another proofs). We proved also that every subgroup of finite index in Aut(Fn), n &= 3, which contains the subgroup of IA-automorphisms, has a finite abelianization.

On the intersection of free subgroups in free products of groups

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Transcriptional profiling of CD4 T cells identifies distinct subgroups of HIV-1 elite controllers.

Human immunodeficiency virus type 1 (HIV-1) elite controllers maintain undetectable levels of viral replication in the absence of antiretroviral therapy (ART), but their underlying immunological and virological characteristics may vary. Here, we used a whole-genome transcriptional profiling approach to characterize gene expression signatures of CD4 T cells from an unselected cohort of elite controllers. The transcriptional profiles for the majority of elite controllers were similar to those of ART-treated patients but different from those of HIV-1-negative persons. Yet, a smaller proportion of elite controllers showed an alternative gene expression pattern that was indistinguishable from that of HIV-1-negative persons but different from that of highly active antiretroviral therapy (HAART)-treated individuals. Elite controllers with the latter gene expression signature had significantly higher CD4 T cell counts and lower levels of HIV-1-specific CD8(+) T cell responses but did not significantly differ from other elite controllers in terms of HLA class I alleles, HIV-1 viral loads determined by ultrasensitive single-copy PCR assays, or chemokine receptor polymorphisms. Thus, these data identify a specific subgroup of elite controllers whose immunological and gene expression characteristics approximate those of HIV-1-negative persons.

Basic biochemical investigations as rationale for the design of original antimalarial drugs. An example of phospholipid metabolism

The future of antimalarial chemotherapy is particulary alarming in view of the spread of parasite cross-resistances to drugs that are not even structurally related. Only the availability of new pharmacological models will make it possible to select molecules with novel mechanisms of action, thus delaving resistance and allowing the development of new chemotherapeutic strategies. We reached this objective in mice. Our approach is hunged on fundamental and applied research begun in 1980 to investigate to phospholipid (PL) metabolism of intraerythrocytic Plasmodium. This metabolism is abundant, specific and indispensable for the production of Plasmodium membranes. Any drug to interfere with this metabolism blocks parasitic development. The most effective interference yet found involves blockage of the choline transporter, which supplies Plasmodium with choline for the synthesis of phosphatidylcholine, its major PL, this is a limiting step in the pathway. The drug sensitivity thereshold is much lower for the parasite, which is more dependent on this metabolism than host cells. The compounds show in vitro activity against P. falciparum at 1 to 10 nM. They show a very low toxicity against a lymphblastoid cell line, demonstrating a total abscence of correlation between growth inhibition of parasites and lymphoblastoid cells. They show antimalarial activity in vivo, in the P. berghei or P. chabaudi/mouse system, at doses 20-to 100-fold lower than their in acute toxicity limit. The bioavailability of a radiolabeled form of the product seemed to be advantageous (slow blood clearance and no significant concentration in tissues). Lastly, the compounds are inexpensive to produce. They are stable and water-soluble.

Structure theorems for subgroups of homeomorphism groups

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Statistical properties of subgroups of free groups

The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated (finite presentations are determined) by randomly chosen k-tuples of reduced words, whose maximal length is allowed to tend to infinity. In this paper we adopt a different, though equally natural point of view: we investigate the statistical properties of the same objects, but with respect to the so-called graph-based distribution, recently introduced by Bassino, Nicaud and Weil. Here, subgroups (and finite presentations) are determined by randomly chosen Stallings graphs whose number of vertices tends to infinity. Our results show that these two distributions behave quite differently from each other, shedding a new light on which properties of finitely generated subgroups can be considered frequent or rare. For example, we show that malnormal subgroups of a free group are negligible in the raph-based distribution, while they are exponentially generic in the word-based distribution. Quite surprisingly, a random finite presentation generically presents the trivial group in this new distribution, while in the classical one it is known to generically present an infinite hyperbolic group.

No role for CSF myelin basic protein levels in patients treated for childhood acute lymphoblastic leukemia

RESUME Introduction : La prophylaxie du système nerveux central lors d'un diagnostic de leucémie lymphoblastique aiguë de l'enfant a permis de réduire le risque de rechute mais a été associée dans certains cas à des neurotoxicités cliniques ou des anomalies radiologiques. Des moyens de prédire ces neurotoxicités font défaut, en particulier en raison de l'absence de corrélation claire entre les signes cliniques et les images radiologiques. Quelques auteurs ont suggéré que les taux de protéine basique de la myéline (MBP) mesurés dans le liquide céphalo-rachidien pouvaient avoir un intérêt dans ce contexte. Uné étude rétrospective de ces taux en relation avec des données cliniques et radiologiques est présentée dans ce travail. Matériel et Méthodes : Les taux de MBP mesurés dans le liquide céphalo-rachidien lors d'administration de chimiothérapie intrathécale, les examens cliniques neurologiques et les rapports radiologiques ont été rétrospectivement étudiés chez nos patients. Les données concernant des difficultés académiques éventuelles, ainsi que le niveau académique atteint ont été récoltées par l'intermédiaire de contacts téléphoniques réguliers organisés dans le cadre du suivi à long terme de nos patients. Résultats : Un total de 1248 dosages de MBP chez 83 patients, 381 examens neurologiques chez 34 patients et 69 rapports d'investigations neuroradiologiques chez 27 patients ont été analysés. Cinquante-deux patients ont eut au moins un taux anormal de MBP. Des anomalies radiologiques ont été décrites chez 47% de ces patients, parmi lesquels 14% ont présenté des difficultés scolaires sous une forme ou sous une autre. La proportion de patients ayant présenté des difficultés scolaires dans les groupes avec taux de MBP normal mais sans anomalies radiologiques décrites ou sans investigations radiologiques étaient respectivement de 0% et 3%, inférieurs dans tous les cas au groupe avec des taux normaux de MBP (100%, 22% and 5% respectivement). Discussion : Tout en prenant en compte les limitations dues à l'aspect rétrospectif de cette étude, nous avons conclu à une utilité limitée de ces dosages systématiques comme indicateur d'une neurotoxicité induite parle traitement dans le contexte de nos patients oncologiques. ABSTRACT Introduction : Central nervous system (CSF) prophylaxis of childhood acute lymphoblastic leukemia has dropped rates of relapses but has been associated wíth neurotoxicity and imaging abnormalities. Predictors of neurotoxícity are lacking, because of inconsistency between clinical symptoms and imaging. Some have suggested CSF Myelin Basic Protein (MBP) levels to be of potential interest. A retrospective analysis of MBP levels in correlation with clinical and radiological data is presented. Materials and Methods : MBP levels obtained at the time of intrathecals, charts, and neuroradiology reports were retrospectively analyzed. Academic achievement data were obtained from phone contacts with patients and families. Results : We retrieved 1248 dosages of MBP in 83 patients, 381 neurological exams in 34 patients and 69 neuroradiological investigations in 27 patients. Fifty-two patients had abnormal MBP levels. Radiological anomalies were present in 47% of those investigated, 14% of them having school difficulties. Proportions of patients with school difficulties in the groups with abnormal MBP levels but no radiological anomalies or with no radiological investigations were 0% and 3% respectively, which was lower than in the group of patients with normal MBP levels (100%, 22% and 5% respectively). Discussion : Notwithstanding the retrospective character of our study, we conclude that there is limited usefulness of systematic dosage of MBP as indicator of treatment-induced neurotoxicity in ALL patients.

Modified differentials and basic cohomology for Riemannian foliations

We define a new version of the exterior derivative on the basic forms of a Riemannian foliation to obtain a new form of basic cohomology that satisfies Poincaré duality in the transversally orientable case. We use this twisted basic cohomology to show relationships between curvature, tautness, and vanishing of the basic Euler characteristic and basic signature.