Some remarks on the geometry of the Standard Map

We define and compute hyperbolic coordinates and associated foliations which provide a new way to describe the geometry of the standard map. We also identify a uniformly hyperbolic region and a complementary 'critical' region containing a smooth curve of tangencies between certain canonical 'stable' foliations.Comment: 25 pages, 11 figure

Main clinical manifestations of a bleeding diathesis: an often disregarded aspect of medical and surgical history taking

Summary.  A suitable clinical evaluation of a bleeding diathesis is often forgone. The young doctor is often unprepared to describe in an accurate way the different types of bleeding. An adequate classification and adequate clinical information about a bleeding diathesis are instead of paramount importance. Bleeding may be cutaneous, mucous, articular, muscular, parenchymal, intracavitary, orificial. Each of these sites and forms may have diagnostic implications. An accurate description of the several forms of cutaneous bleeding (petechiae, purpuric spots, ecchymosis, haematomas, etc.) is needed for referrals and for controls. The correct evaluation of cutaneous bleeding manifestations of children (battered child syndrome) is absolutely important for clinical and medico‐legal purposes. The same is true for the battering syndrome seen in women abused by their spouses. The grading of haemarthrosis in haemophilia patients is important for the follow‐up. A proper description of haematuria is essential in suggesting the probable site of bleeding (kidney or bladder or urethra). A proper evaluation of bleeding may give also useful information on the general health status of the patients (presence of anaemia, poor nutrition, renal insufficiency, etc.). The combination of bleeding and thrombosis in the same patient is also a clinical challenge. The relationship between haemorrhage and thrombosis may be sequential or concomitant. Sequential thrombosis may occur in a patient confined in bed for a brain haemorrhage. Concomitant thrombosis and bleeding occur in DIC and in patients with thrombosis being treated with anticoagulants. Finally, it should be kept in mind that a proper evaluation of the bleeding diathesis of a given patient may help the caring doctor in ordering appropriate laboratory tests (e.g. a platelet count for petechiae, a PTT for a patient with haemarthrosis, etc.)

Statistical Consequences of Devroye Inequality for Processes. Applications to a Class of Non-Uniformly Hyperbolic Dynamical Systems

In this paper, we apply Devroye inequality to study various statistical estimators and fluctuations of observables for processes. Most of these observables are suggested by dynamical systems. These applications concern the co-variance function, the integrated periodogram, the correlation dimension, the kernel density estimator, the speed of convergence of empirical measure, the shadowing property and the almost-sure central limit theorem. We proved in \cite{CCS} that Devroye inequality holds for a class of non-uniformly hyperbolic dynamical systems introduced in \cite{young}. In the second appendix we prove that, if the decay of correlations holds with a common rate for all pairs of functions, then it holds uniformly in the function spaces. In the last appendix we prove that for the subclass of one-dimensional systems studied in \cite{young} the density of the absolutely continuous invariant measure belongs to a Besov space.Comment: 33 pages; companion of the paper math.DS/0412166; corrected version; to appear in Nonlinearit

Kernicterus by glucose-6-phosphate dehydrogenase deficiency: a case report and review of the literature

<p>Abstract</p> <p>Introduction</p> <p>Glucose-6-phosphate dehydrogenase deficiency is an X-linked recessive disease that causes acute or chronic hemolytic anemia and potentially leads to severe jaundice in response to oxidative agents. This deficiency is the most common human innate error of metabolism, affecting more than 400 million people worldwide.</p> <p>Case presentation</p> <p>Here, we present the first documented case of kernicterus in Panama, in a glucose-6-phosphate dehydrogenase-deficient newborn clothed in naphthalene-impregnated garments, resulting in reduced psychomotor development, neurosensory hypoacousia, absence of speech and poor reflex of the pupil to light.</p> <p>Conclusion</p> <p>Mutational analysis revealed the glucose-6-phosphate dehydrogenase Mediterranean polymorphic variant, which explained the development of kernicterus after exposition of naphthalene. As the use of naphthalene in stored clothes is a common practice, glucose-6-phosphate dehydrogenase testing in neonatal screening could prevent severe clinical consequences.</p

The Release of Tissue Factor Pathway Inhibitor and Platelet Factor 4 After Heparin Injection in Patients with Thrombocytosis.

Platelet factor 4 (PF4) and tissue factor pathway inhibitor (TFPI) are two proteins with high affinity for heparin. They are each stored in platelets, as well as on endothelial cell surfaces, from where both are displaced or released following an injection of heparin with a rapid and marked increase in serum levels. Prior work has demonstrated that the platelet count is one of the factors affecting the levels of heparin-releasable PF4. We therefore characterized the response to a dose of intravenous heparin previously demonstrated to completely displace PF4 from the non-platelet pool in subjects with normal or increased platelet counts. Seventeen patients with essential thrombocytosis (ET), 10 patients with polycythemia vera and high platelet counts (PV-H), 7 patients with polycythemia vera and normal platelet counts (PV-N) and 10 controls received an initial bolus of 40 I.U./kg of unfractionated heparin, followed 2 hours later by a 2nd bolus of a fixed dose of 1000 I.U. TFPI activity did not show any variation among the different groups, either before (TFPI) or after (HR-TFPI) the first bolus of heparin: ET, TFPI 92.6 ± 21.5%, HR-TFPI 298.3 ± 165.8; PV-H, TFPI 91.5 ± 32.0, HR-TFPI 210 ± 1.0; PV-N, TFPI 69.4 ± 24.0, HR-TFPI 203.0 ± 79.0; C, TFPI 109.5 ± 33.5, HR-TFPI 234.0 ± 60.4. TFPI activity returned to basal values prior to the 2nd injection of heparin, which again elicited a rise in TFPI, albeit smaller due to the lower level of heparin injected. In contrast to the lack of any difference between groups with respect to TFPI, the level of heparin-releasable PF4 (HR-PF4) was significantly higher in ET and PV-H patients compared to PV-N patients or controls. However when normalized for platelet count, both PV-H and PV-N had HR-PF4 levels after the 1st heparin injection that were significantly higher than observed in ET patients (PV-H 1.163 + 0.108, PV-N 1.411 + 0.019, ET 0.737 + 0.086 ng/10/3 platelets) supporting an increased platelet activation in PV. Thus, although platelets contain approximately 5-10% of the total amount of TFPI in plasma, they do not affect the major intravascular pool of TFPI mobilizable by heparin. However, since the concentration at the site of vessel wall injury is enhanced several-fold, TFPI could play a role in competing with PF4 to limit thrombus formation in patients with high platelet count

Gateways as inter-modal nodes in different ages: The Venetian region, eighteenth to twentieth centuries

This paper focuses on the theoretical implications of a regional case studyfor the analysis of transportation networks and gateway functions. Thestarting point is the result of a research on the changing role of gateways,and on the relocation of the gateway function from one city to a series ofcities in the Venetian region from the eighteenth to the twentieth century.Against this evolution, I test the validity and usefulness of a definition of thegateway as a point of inter-modal exchange for its historical interpretation.Changing transport technologies involve different organisations of inter-modal exchanges, and imply more or less intense economic functions ofgateway cities. These changes intertwine with political events and deci-sions, and more general economic changes: they could at the same time beread as an effect of these transformations, and as a causal factor. From this perspective, a study of intermodality shows to be useful to shed new lighton specific changes in the structure of urban hierarchie

Genetic predisposition to hemophagocytic lymphohistiocytosis: report on 500 patients from the Italian registry

Background Hemophagocytic lymphohistiocytosis (HLH) is a rare life-threatening disease affecting mostly children but also adults and characterized by hyperinflammatory features. A subset of patients, referred to as having familial hemophagocytic lymphohistiocytosis (FHL), have various underlying genetic abnormalities, the frequencies of which have not been systematically determined previously. Objective This work aims to further our understanding of the pathogenic bases of this rare condition based on an analysis of our 25 years of experience. Methods From our registry, we have analyzed a total of 500 unselected patients with HLH. Results Biallelic pathogenic mutations defining FHL were found in 171 (34%) patients; the proportion of FHL was much higher (64%) in patients given a diagnosis during the first year of life. Taken together, mutations of the genes PRF1 (FHL2) and UNC13D (FHL3) accounted for 70% of cases of FHL. Overall, a genetic diagnosis was possible in more than 90% of our patients with FHL. Perforin expression and the extent of degranulation have been more useful for diagnosing FHL than hemophagocytosis and the cytotoxicity assay. Of 281 (56%) patients classified as having "sporadic" HLH, 43 had monoallelic mutations in one of the FHL-defining genes. Given this gene dosage effect, FHL is not strictly recessive. Conclusion We suggest that the clinical syndrome HLH generally results from the combined effects of an exogenous trigger and genetic predisposition. Within this combination, different weights of exogenous and genetic factors account for the wide disease spectrum that ranges from HLH secondary to severe infection to FHL