A mathematical excursion: From the three-door problem to a Cantor-type perfect set

We start with a generalization of the well-known three-door problem:the n-door problem. The solution of this new problem leads us toa beautiful representation system for real numbers in (0,1] as alternated series, known in the literature as Pierce expansions. A closer look to Pierce expansions will take us to some metrical properties of sets defined through the Pierce expansions of its elements. Finally, these metrical properties will enable us to present 'strange' sets, similar to the classical Cantor set.

Deposits of transforming growth factor-beta-induced protein in granular corneal dystrophy type II after LASIK.

PURPOSE: To analyze components of the deposits in the corneal flap interface of granular corneal dystrophy type II (GCD II) patients after laser in situ keratomileusis (LASIK). METHODS: Four corneal GCD II specimens displaying disease exacerbation after LASIK were analyzed. Three of these specimens included the recipient corneal button after penetrating keratoplasty or deep lamellar keratoplasty for advanced GCD II after LASIK. The fourth specimen, a similar case of GCD II after LASIK, included the amputated corneal flap. Specimens were processed for histopathologic and immunohistochemical analyses. RESULTS: Corneal stromal deposits in the LASIK flaps of all specimens were stained with 3 anti-transforming growth factor-beta-induced protein (TGFBIp) antibodies. The deposits displayed bright red color staining with Masson trichrome; however, negative staining was seen with Congo red, suggesting that hyaline is the main component localizing to the TGFBIp deposits rather than amyloid. CONCLUSIONS: Amorphous granular material deposited along the interface of the LASIK flap in GCD II corneas is composed mainly of hyaline deposits.

The sand rat, Psammomys obesus, develops type 2 diabetic retinopathy similar to humans.

PURPOSE: Diabetic retinopathy (DR) is a leading cause of blindness, yet pertinent animal models are uncommon. The sand rat (Psammomys obesus), exhibiting diet-induced metabolic syndrome, might constitute a relevant model. METHODS: Adult P. obesus (n = 39) were maintained in captivity for 4 to 7 months and fed either vegetation-based diets (n = 13) or standard rat chow (n = 26). Although plant-fed animals exhibited uniform body weight and blood glucose levels over time, nearly 60% of rat chow-raised animals developed diabetes-like symptoms (test group). Animals were killed, and their eyes and vitreous were processed for immunochemistry. RESULTS: Compared with plant-fed animals, diabetic animals showed many abnormal vascular features, including vasodilation, tortuosity, and pericyte loss within the blood vessels, hyperproteinemia and elevated ratios of proangiogenic and antiangiogenic growth factors in the vitreous, and blood-retinal barrier breakdown. Furthermore, there were statistically significant decreases in retinal cell layer thicknesses and densities, accompanied by profound alterations in glia (downregulation of glutamine synthetase, glutamate-aspartate transporter, upregulation of glial fibrillar acidic protein) and many neurons (reduced expression of protein kinase Cα and Cξ in bipolar cells, axonal degeneration in ganglion cells). Cone photoreceptors were particularly affected, with reduced expression of short- and mid-/long-wavelength opsins. Hypercaloric diet nondiabetic animals showed intermediate values. CONCLUSIONS: Simple dietary modulation of P. obesus induces a rapid and severe phenotype closely resembling human type 2 DR. This species presents a valuable novel experimental model for probing the neural (especially cone photoreceptor) pathogenic modifications that are difficult to study in humans and for screening therapeutic strategies.

A generalization of histogram type estimators

We introduce simple nonparametric density estimators that generalize theclassical histogram and frequency polygon. The new estimators are expressed as linear combination of density functions that are piecewisepolynomials, where the coefficients are optimally chosen in order to minimize the integrated square error of the estimator. We establish the asymptotic behaviour of the proposed estimators, and study theirperformance in a simulation study.

Etude de la distribution de Formica exsecta Nyl. à l 'aide d 'un système d 'information géographique

La distribution de Formica exsecta semble être conditionnée par un bon ensoleillement (pour le développement du couvain) et par le type de végétation (ressources alimentaires). Par la combinaison de ces facteurs à l'aide du SIG, Ramona Maggini a planifié l'échantillonage de 240 stations dans le PNS pour l'analyse de la distribution de cette espèce

Calibration of stochastic volatility models via second order approximation: the Heston model case

Using a suitable Hull and White type formula we develop a methodology to obtain asecond order approximation to the implied volatility for very short maturities. Using thisapproximation we accurately calibrate the full set of parameters of the Heston model. Oneof the reasons that makes our calibration for short maturities so accurate is that we alsotake into account the term-structure for large maturities. We may say that calibration isnot "memoryless", in the sense that the option's behavior far away from maturity doesinfluence calibration when the option gets close to expiration. Our results provide a wayto perform a quick calibration of a closed-form approximation to vanilla options that canthen be used to price exotic derivatives. The methodology is simple, accurate, fast, andit requires a minimal computational cost.

Le Tactilo : au coeur du débat sur la régulation des jeux de hasard et d'argent

Dans plusieurs pays (Suisse, France, États-Unis, Royaume-Uni), le cadre de régulation des jeux de hasard et d'argent est différencié selon la nature et la forme des jeux. Ainsi, le système suisse est régulé différemment suivant qu'il s'agit de loteries et de paris ou de casinos. Dans chacun de ces deux cas, un cadre juridique et de régulation diffèrent s'applique. Le système devient complexe lorsque certains jeux ou opérations ne peuvent pas être clairement attribués à un système de régulation ou à un autre ou lorsque des conflits de compétence interviennent entre les autorités de régulation. C'est le cas du Tactilo. Ce working paper présente de manière synthétique les différents aspects de la régulation de ce nouveau mode de distribution des jeux que sont les automates de type Tactilo et discute les développements légaux et les implications financières entourant ce débat. Ces éléments permettent de comprendre le débat actuel et de mieux comprendre les enjeux de la décision attendue du Tribunal fédéral dans ce dossier. Le Tactilo, un jeu de loterie ou un jeu de casino...?

Nocturnal hypoglycaemias in type 1 diabetic patients: what can we learn with continuous glucose monitoring?

AIM: In type 1 diabetic patients (T1DM), nocturnal hypoglycaemias (NH) are a serious complication of T1DM treatment; self-monitoring of blood glucose (SMBG) is recommended to detect them. However, the majority of NH remains undetected on an occasional SMBG done during the night. An alternative strategy is the Continuous glucose monitoring (CGMS), which retrospectively shows the glycaemic profile. The aims of this retrospective study were to evaluate the true incidence of NH in T1DM, the best SMBG time to predict NH, the relationship between morning hyperglycaemia and NH (Somogyi phenomenon) and the utility of CGMS to reduce NH. METHODS: Eighty-eight T1DM who underwent a CGMS exam were included. Indications for CGMS evaluation, hypoglycaemias and correlation with morning hyperglycaemias were recorded. The efficiency of CGMS to reduce the suspected NH was evaluated after 6-9 months. RESULTS: The prevalence of NH was 67% (32% of them unsuspected). A measured hypoglycaemia at bedtime (22-24 h) had a sensitivity of 37% to detect NH (OR=2.37, P=0.001), while a single measure < or =4 mmol/l at 3-hour had a sensitivity of 43% (OR=4.60, P<0.001). NH were not associated with morning hyperglycaemias but with morning hypoglycaemias (OR=3.95, P<0.001). After 6-9 months, suspicions of NH decreased from 60 to 14% (P<0.001). CONCLUSION: NH were highly prevalent and often undetected. SMBG at bedtime, which detected hypoglycaemia had sensitivity almost equal to that of 3-hour and should be preferred because it is easier to perform. Somogyi phenomenon was not observed. CGMS is useful to reduce the risk of NH in 75% of patients.

25-hydroxyvitamin D concentration is inversely associated with serum MMP-9 in a cross-sectional study of African American ESRD patients.

BACKGROUND: Circulating 25-hydroxyvitamin D [25(OH)D] concentration is inversely associated with peripheral arterial disease and hypertension. Vascular remodeling may play a role in this association, however, data relating vitamin D level to specific remodeling biomarkers among ESRD patients is sparse. We tested whether 25(OH)D concentration is associated with markers of vascular remodeling and inflammation in African American ESRD patients.METHODS: We conducted a cross-sectional study among ESRD patients receiving maintenance hemodialysis within Emory University-affiliated outpatient hemodialysis units. Demographic, clinical and dialysis treatment data were collected via direct patient interview and review of patients records at the time of enrollment, and each patient gave blood samples. Associations between 25(OH)D and biomarker concentrations were estimated in univariate analyses using Pearson's correlation coefficients and in multivariate analyses using linear regression models. 25(OH) D concentration was entered in multivariate linear regression models as a continuous variable and binary variable (<15 ng/ml and =15 ng/ml). Adjusted estimate concentrations of biomarkers were compared between 25(OH) D groups using analysis of variance (ANOVA). Finally, results were stratified by vascular access type.RESULTS: Among 91 patients, mean (standard deviation) 25(OH)D concentration was 18.8 (9.6) ng/ml, and was low (<15 ng/ml) in 43% of patients. In univariate analyses, low 25(OH) D was associated with lower serum calcium, higher serum phosphorus, and higher LDL concentrations. 25(OH) D concentration was inversely correlated with MMP-9 concentration (r = -0.29, p = 0.004). In multivariate analyses, MMP-9 concentration remained negatively associated with 25(OH) D concentration (P = 0.03) and anti-inflammatory IL-10 concentration positively correlated with 25(OH) D concentration (P = 0.04).CONCLUSIONS: Plasma MMP-9 and circulating 25(OH) D concentrations are significantly and inversely associated among ESRD patients. This finding may suggest a potential mechanism by which low circulating 25(OH) D functions as a cardiovascular risk factor.

Incrétines, secretion d'insuline et diabète

Nutrient ingestion triggers a complex hormonal response aimed at stimulating glucose utilization in liver, muscle and adipose tissue to minimize the raise in blood glucose levels. Insulin secretion by pancreatic beta cells plays a major role in this response. Although the beta cell secretary response is mainly controlled by blood glucose levels, gut hormones secreted in response to food intake have an important role in potentiating glucose-stimulated insulin secretion. These gluco-incretin hormones are GLP-1 (glucagon-like peptide-1) and GIP (gluco-dependent insulinotropic polypeptide). Their action on pancreatic beta cells depends on binding to specific G-coupled receptors linked to activation of the adenylyl cyclase pathway. In addition to their effect on insulin secretion both hormones also stimulate insulin production at the transcriptional and translational level and positively regulate beta cell mass. Because the glucose-dependent insulinotropic action of GLP-1 is preserved in type 2 diabetic patients, this peptide is now developed as a novel therapeutic drug for this disease.

Évaluation statistique des résultats des analyses ADN de 2005 à 2011 et recommandations stratégiques au sein de la section d'Identité judiciaire de la Police cantonale vaudoise

Notre étude a eu pour but d'analyser les résultats des analyses ADN effectuées sur les traces relevées sur des scènes de crimes ou sur des objets s'y apparentant. Cette analyse nous a permis d'en identifier les points forts et les points faibles. Les données concernant les résultats ADN des années 2005 à 2008 dans le canton de Vaud ont montré une augmentation significative du nombre de traces envoyées, avec en parallèle un déclin de la qualité des résultats. Suite à cette observation, des solutions ayant pour but de réduire le nombre de ces analyses négatives ont dû être adoptées. Des changements opérationnels ont alors été mis en place dès 2009. Il s'agissait alors, d'une part, d'agir au niveau des traces de contact en tenant compte du type de support sur lequel la trace était prélevée, et, d'autre part, d'agir sur les traces riches (sang, salive, sperme) en mettant en place l'analyse systématique de la nature de la trace à l'aide de tests indicatifs. L'évaluation des conséquences de la mise en place de ces procédures a été possible à l'aide d'une nouvelle analyse statistique. Les résultats montrent qu'un meilleur tri des traces permet une amélioration des résultats.

Frequency and Type of Side Effects of Immunomodulating Medication in the Swiss Inflammatory Bowel Disease Cohort

Background: Medical treatment of inflammatory bowel disease (IBD) is becoming more and more complex, as several classes of immuno-modulating drugs (IMD) are often used simultaneously. Thus, the probability of adverse effects is greatly increased. Most studies reporting on adverse effects focus on single therapy, and studies providing a global survey of side effects for multiple treatments are lacking. Aim: To assess the type and frequency of adverse events in IBD patients treated with single and multiple IMD therapy. Methods: Analysis of data from the Swiss IBD Cohort Study (SIBDCS) that collects data on a large sample of IBD patients from hospitals and private practices across Switzerland. The following IMD categories were analyzed: 5-ASA, azathioprine (Aza), 6-mercaptopurine (6-MP), methotrexate (MTX), anti-TNF (infliximab, adalimumab, certolizumab-pegol), cyclosporine, tacrolimus, and steroids. The following side effects were assessed: hepatitis, pancreatitis, leucopenia, thrombopenia, nephritis, allergic reaction, pneumonitis, infections (including tuberculosis), osteoporosis, abdominal pain/diarrhea (unrelated to IBD activity), cataract, diabetes, exanthema, hirsutism, lupus-like syndrome, myalgias, depression/psychosis, tumor development. Results: A total of 1,961 patients were analyzed (977 [50%] female, mean age 42.1 ± 14.4 years): 1,119 with Crohn's disease (CD), 800 with ulcerative colitis (UC), and 42 with indeterminate colitis (IC). Three-hundred eighteen (16.2%) patients were not treated with any of the above-mentioned medications, while 650 (33.2%), 569 (29%) and 424 (21.6%) patients had one-, two-, and three- or more- IMD therapy, respectively. Of the 1,643 patients treated with IMD, 535 (32.6%) patients reported at least one side effect. We found a significant correlation between the number of drugs used by a patient and the frequency of side effects (17.4% side effects for one drug, 29% for 2 drugs, and 60.6% for three or more drugs, p < 0.001). The frequency of side effects for the different IMD classes were as follows: 5-ASA (n = 980 treated patients) 10.8%, Aza/6-MP (n = 636) 51.9% (pancreatitis in 57 = 9%, hepatitis in 17 = 2.7% of treated patients), MTX (n = 146) 42.5% (hepatitis in 4 = 2.7% of treated patients), anti-TNF (n = 255) 23.1%, cyclosporine (n = 49) 10.2%, tacrolimus (n = 5) 20%, steroids (systemic or topical, n = 1,150) 9.6%. Conclusion: IBD treatment is associated with a significant number of side effects. A direct correlation between the number of IMD used simultaneously and the frequency of side effects was observed. The results of this study indicate that treating physicians should be vigilant for the occurrence of side effects in IBD patients under single and/or multiple drug therapy.

[Portrait de la reine Olga de Grèce (même type que Wc 218) non signé, 2 phot. de types grecs par Rubellin, phot. à Smyrne, le tout donné par P.P. Potagos en 1887]

Donateur : Potagos, Panagiotes (1839-1903)

Atelosteogenesis Type 2

Disease characteristics. Clinical features of atelosteogenesis type 2 (AO2) include rhizomelic limb shortening with normal-sized skull, hitchhiker thumbs, small chest, protuberant abdomen, cleft palate, and distinctive facial features (midface hypoplasia, depressed nasal bridge, epicanthus, micrognathia). Other typical findings are ulnar deviation of the fingers, gap between the first and second toes, and clubfoot. AO2 is lethal at birth or shortly thereafter because of pulmonary hypoplasia and tracheobronchomalacia. Diagnosis/testing. The diagnosis of AO2 rests on a combination of clinical, radiologic, and histopathologic features. SLC26A2 (DTDST) is the only gene currently known to be associated with AO2. The diagnosis can be confirmed by molecular genetic testing of SLC26A2, which is clinically available. Management. Treatment of manifestations: palliative care for liveborns. Genetic counseling. AO2 is inherited in an autosomal recessive manner. At conception, each sib of a proband with AO2 has a 25% chance of being affected, a 50% chance of being an asymptomatic carrier, and a 25% chance of being unaffected and not a carrier. Once an at-risk sib is known to be unaffected, the risk of his/her being a carrier is 2/3. Prenatal diagnosis for pregnancies at 25% risk is possible. Carrier testing for at-risk relatives and prenatal testing for pregnancies at increased risk are possible if both disease-causing alleles in the family are known and the carrier status of the parents has been confirmed. Ultrasound examination early in pregnancy is a reasonable complement or alternative to molecular genetic prenatal diagnosis.

Lectotype designations for Ptychoderini species (Coleoptera, Anthribidae, Anthribinae) of the Muséum National d'Histoire Naturelle

Based on a study of the type material housed in the Muséum National d'Histoire Naturelle Paris, lectotypes are designated for the following species: 1) described by Jekel in 1855 - Ptychoderes columbianus, P. callosus, P. mixtus, P. antiquus, Hypselotropis batesi, Ectatotropis conicollis, and Tropipygus speciosus; 2) described by Thomson in 1858 - Phloeotragus sparsutus. The following species have the type specimens illustrated: Ptychoderes mixtus, lectotype female; P. tricostifrons, holotype male; Hypselotropis speciosa, lectotype male; Phloeotragus sparsutus, lectotype male and paralectotype female.