Sobolev mappings: Lipschitz density is not an isometric invariant of the target

"Vegeu el resum a l'inici del document del fitxer adjunt."

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.

Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension

In this paper, we establish lower and upper Gaussian bounds for the probability density of the mild solution to the stochastic heat equation with multiplicative noise and in any space dimension. The driving perturbation is a Gaussian noise which is white in time with some spatially homogeneous covariance. These estimates are obtained using tools of the Malliavin calculus. The most challenging part is the lower bound, which is obtained by adapting a general method developed by Kohatsu-Higa to the underlying spatially homogeneous Gaussian setting. Both lower and upper estimates have the same form: a Gaussian density with a variance which is equal to that of the mild solution of the corresponding linear equation with additive noise.

Density-dependent pollen limitation and reproductive assurance in a wind-pollinated herb with contrasting sexual systems

1. Wind pollination is thought to have evolved in response to selection for mechanisms to promote pollination success, when animal pollinators become scarce or unreliable. We might thus expect wind-pollinated plants to be less prone to pollen limitation than their insect-pollinated counterparts. Yet, if pollen loads on stigmas of wind-pollinated species decline with distance from pollen donors, seed set might nevertheless be pollen-limited in populations of plants that cannot self-fertilize their progeny, but not in self-compatible hermaphroditic populations.2. Here, we test this hypothesis by comparing pollen limitation between dioecious and hermaphroditic (monoecious) populations of the wind-pollinated herb Mercurialis annua.3. In natural populations, seed set was pollen-limited in low-density patches of dioecious, but not hermaphroditic, M. annua, a finding consistent with patterns of distance-dependent seed set by females in an experimental array. Nevertheless, seed set was incomplete in both dioecious and hermaphroditic populations, even at high local densities. Further, both factors limited the seed set of females and hermaphrodites, after we manipulated pollen and resource availability in a common garden experiment.4. Synthesis. Our results are consistent with the idea that pollen limitation plays a role in the evolution of combined vs. separate sexes in M. annua. Taken together, they point to the potential importance of pollen transfer between flowers on the same plant (geitonogamy) by wind as a mechanism of reproductive assurance and to the dual roles played by pollen and resource availability in limiting seed set. Thus, seed set can be pollen-limited in sparse populations of a wind-pollinated species, where mates are rare or absent, having potentially important demographic and evolutionary implications.

The effects of nutrition, puberty and dancing on bone density in adolescent ballet dancers.

Ballet dancers have on average a low bone mineral content (BMC), with elevated fracture-risk, low body mass index (BMI) for age (body mass index, kg/m2), low energy intake, and delayed puberty. This study aims at a better understanding of the interactions of these factors, especially with regard to nutrition. During a competition for pre-professional dancers we examined 127 female participants (60 Asians, 67 Caucasians). They averaged 16.7 years of age, started dancing at 5.8 years, and danced 22 hours/week. Assessments were made for BMI, BMC (DXA), and bone mineral apparent density (BMAD) at the lumbar spine and femoral neck, pubertal stage (Tanner score), and nutritional status (EAT-40 questionnaire and a qualitative three-day dietary record). BMI for age was found to be normal in only 42.5% of the dancers, while 15.7% had a more or less severe degree of thinness (12.6% Grade2 and 3.1% Grade 3 thinness). Menarche was late (13.9 years, range 11 to 16.8 years). Food intake, evaluated by number of consumed food portions, was below the recommendations for a normally active population in all food groups except animal proteins, where the intake was more than twice the recommended amount. In this population, with low BMI and intense exercise, BMC was low and associated with nutritional factors; dairy products had a positive and non-dairy proteins a negative influence. A positive correlation between BMAD and years since menarche confirmed the importance of exposure to estrogens and the negative impact of delayed puberty. Because of this and the probable negative influence of a high intake of non-dairy proteins, such as meat, fish, and eggs, and the positive association with a high dairy intake, ballet schools should promote balanced diets and normal weight and should recognize and help dancers avoid eating disorders and delayed puberty caused by extensive dancing and inadequate nutrition.

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.

Index theory for basic Dirac operators on Riemannian foliations

In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler characteristic is obtained using two independent proofs.

Bone microarchitecture assessed by TBS predicts osteoporotic fractures independent of bone density: The manitoba study.

The measurement of BMD by dual-energy X-ray absorptiometry (DXA) is the "gold standard" for diagnosing osteoporosis but does not directly reflect deterioration in bone microarchitecture. The trabecular bone score (TBS), a novel gray-level texture measurement that can be extracted from DXA images, correlates with 3D parameters of bone microarchitecture. Our aim was to evaluate the ability of lumbar spine TBS to predict future clinical osteoporotic fractures. A total of 29,407 women 50 years of age or older at the time of baseline hip and spine DXA were identified from a database containing all clinical results for the Province of Manitoba, Canada. Health service records were assessed for the incidence of nontraumatic osteoporotic fracture codes subsequent to BMD testing (mean follow-up 4.7 years). Lumbar spine TBS was derived for each spine DXA examination blinded to clinical parameters and outcomes. Osteoporotic fractures were identified in 1668 (5.7%) women, including 439 (1.5%) spine and 293 (1.0%) hip fractures. Significantly lower spine TBS and BMD were identified in women with major osteoporotic, spine, and hip fractures (all p < 0.0001). Spine TBS and BMD predicted fractures equally well, and the combination was superior to either measurement alone (p < 0.001). Spine TBS predicts osteoporotic fractures and provides information that is independent of spine and hip BMD. Combining the TBS trabecular texture index with BMD incrementally improves fracture prediction in postmenopausal women. © 2011 American Society for Bone and Mineral Research.