Rigid analytic quantum groups and quantum Arens-Michael envelopes

We introduce a rigid analytification of the quantized coordinate algebra of a semisimple algebraic group and a quantized Arens-Michael envelope of the enveloping algebra of the corresponding Lie algebra, working over a non-archimedean field and when q is not a root of unity. We show that these analytic quantum groups are topological Hopf algebras and Fréchet-Stein algebras. We then introduce an analogue of the BGG category $\Bbb O$ for the quantum Arens-Michael envelope and show that it is equivalent to the category $\Bbb O$ for the corresponding quantized enveloping algebra

Rigid Analytic Quantum Groups

Following constructions in rigid analytic geometry, we introduce a theory of $p$-adic analytic quantum groups. We first define Fréchet completions \wideparen{U_q(\mathfrak{g})} and \wideparen{\mathcal{O}_q(G)} of the quantized enveloping algebra of a semisimple Lie algebra $\mathfrak{g}$ and the quantized coordinate ring of the corresponding semisimple algebraic group $G$ respectively. We consider these to be quantum analogues of the Arens-Michael envelope of the enveloping algebra $U(\mathfrak{g})$ and of the algebra of rigid analytic functions on the rigid analytification of $G$ respectively. We show that these algebras are topological Hopf algebras and, by adapting techniques extracted from work of Ardakov-Wadsley, Schmidt and Emerton in $p$-adic representation theory, we also show that they are Fréchet-Stein algebras and use this to investigate an analogue of category $\mathcal{O}$ for \wideparen{U_q(\mathfrak{g})}. We then introduce a $p$-adic analytic analogue of Backelin and Kremnizer's construction of the quantum flag variety of a semisimple algebraic group, using a Banach completion of \wideparen{\mathcal{O}_q(G)}. Our main result is a Beilinson-Bernstein localisation theorem in this context. We define a category of $\lambda$-twisted $D$-modules on this analytic quantum flag variety. This category has a distinguished object \widehat{\D_q^\lambda} which plays the role of the sheaf of $\lambda$-twisted differential operators. We show that when $\lambda$ is regular and dominant, the global section functor gives an equivalence of categories between the coherent $\lambda$-twisted $D$-modules and the finitely presented modules over the global sections of $\widehat{\mathcal{D}_q^\lambda}$. The construction of this analytic quantum flag variety involves working with Banach comodules over the Banach completion \OqBhat of the quantum coordinate algebra of the Borel. Along the way, we also show that Banach comodules over \OqBhat can be naturally identified with what we call topologically integrable modules over the Banach completion of Lusztig's integral form of the quantum Borel

Effects of Relaxation on Conversion Negative Electrode Materials for Li-Ion Batteries: A Study of TiSnSb Using 119Sn Mössbauer and 7Li MAS NMR Spectroscopies

Conversion materials were recently considered as plausible alternatives to conventional insertion negative electrode materials in lithium-ion batteries due to their large gravimetric and volumetric energy densities. The ternary alloy TiSnSb was recently proposed as a suitable negative electrode material due to its large capacity (550 mA h g–1) and rate capability over many cycles. TiSnSb has been investigated at the end of lithiation (discharge) using 119Sn Mössbauer and 7Li magic-angle spinning (MAS) NMR spectroscopies to determine the species formed, their relative stabilities and their behavior during relaxation. During discharge, TiSnSb undergoes a conversion reaction to produce a mixture of phases believed to consist of lithium antimonides, lithium stannides, and titanium metal. In situ 119Sn Mössbauer spectroscopy indicates the presence of Li7Sn2 at the end of discharge, while 7Li NMR experiments suggest the formation of two distinct Sn-containing species (tentatively assigned to Li7Sn2 and Li7Sn3), in addition to two Sb-containing species (tentatively assigned as Li3Sb and a non-stoichiometric phase of Li2Sb, Li2–xSb). To gain insight into the relative stabilities of the species formed, experiments have been completed under open circuit voltage conditions. A new Sn-based species has been identified via 119Sn Mössbauer spectroscopy at the end of relaxation. Similar changes are observed in the 7Li NMR spectra obtained during relaxation. The species created at the end of discharge are extremely unstable and spontaneously evolve towards delithiated phases. Surprisingly, it is possible to resume electrochemical cycling after relaxation. It is likely that this behavior can be extended to this family of electrode materials that undergo the conversion reaction

Gastric Cancer Surgery

Le cancer de l’estomac est l’une des principales causes de mortalité par cancer dans le monde. Même si des progrès dans les traitements non chirurgicaux ont été réalisés, avec l’avènement de la chimiothérapie périopératoire, la chirurgie reste au centre de la prise en charge de ces tumeurs, représentant la seule option curative à l’heure actuelle, si une résection complète dite « R0 » peut être obtenue. Des recommandations ont ainsi été émises par la Société Française de Chirurgie Digestive (SFCD) et l’Association de Chirurgie Hépato-Biliaire et Transplantation (ACHBT), recommandations labellisées par l’Institut National du Cancer (INCa). Le but de cet article est de discuter de l’étendue de la résection digestive et du curage ganglionnaire ainsi que de la technique de reconstruction digestive à effectuer, et de préciser la place de la chimiohyperthermie intrapéritonéale et de la chirurgie palliative dans la prise en charge des adénocarcinomes gastriques

US-guided Percutaneous Release of the Trigger Finger by Using a 21-gauge Needle: A Prospective Study of 60 Cases.

Purpose: To evaluate the efficacy of ultrasonographically (US)-guided percutaneous treatment of the trigger finger by releasing the A1 pulley with a 21-gauge needle. Materials and Methods : This two-part study was approved by the ethics committee, and written consent was obtained from all patients. The first part consisted of 10 procedures on cadaver digits followed by dissection to analyze the effectiveness of the A1 pulley release and detect any collateral damage to the A2 pulley, interdigital nerves, or underlying flexor tendons. The second part was performed during an 18-month period starting in March 2013. It was a prospective clinical study of 60 procedures performed in 48 patients. Outcomes were evaluated through a clinical examination at day 0 and during a 6-month follow-up visit, where the trigger digit was evaluated clinically and the Quick Disabilities of the Arm, Shoulder and Hand outcome measure, or QuickDASH, and patient satisfaction questionnaires were administered. Results : No complications were found during the cadaver study. However, the release was considered "partial" in all fingers. In the clinical study, the trigger finger was completely resolved in 81.7% (49 of 60) of cases immediately after the procedure. Moderate trigger finger persisted in 10 cases, and one thumb pulley could not be released. A US-guided corticosteroid injection was subsequently performed in these 11 cases. At 6-month follow-up, only two cases still had moderate trigger finger and there were no late complications. The mean QuickDASH questionnaire score was 4; all patients said they were satisfied. Conclusion : US-guided treatment of the trigger finger by using a 21-gauge needle is feasible in current practice, with minimal complications

Ultrafast charge–discharge characteristics of a nanosized core–shell structured LiFePO4 material for hybrid supercapacitor applications

Highly dispersed crystalline/amorphous LiFePO4 (LFP) nanoparticles encapsulated within hollow-structured graphitic carbon were synthesized using an in situ ultracentrifugation process. Ultracentrifugation triggered an in situ sol–gel reaction that led to the formation of core–shell LFP simultaneously hybridized with fractured graphitic carbon. The structure has double cores that contain a crystalline LFP (core 1) covered by an amorphous LFP containing Fe3+ defects (core 2), which are encapsulated by graphitic carbon (shell). These core–shell LFP nanocomposites show improved Li+ diffusivity thanks to the presence of an amorphous LFP phase. This material enables ultrafast discharge rates (60 mA h g-1 at 100C and 36 mA h g-1 at 300C) as well as ultrafast charge rates (60 mA h g-1 at 100C and 36 mA h g-1 at 300C). The synthesized core–shell nanocomposites overcome the inherent one-dimensional diffusion limitation in LFP and yet deliver/store high electrochemical capacity in both ways symmetrically up to 480C. Such a high rate symmetric capacity for both charge and discharge has never been reported so far for LFP cathode materials. This offers new opportunities for designing high-energy and high-power hybrid supercapacitors

Genetic markers of Restless Legs Syndrome in Parkinson disease

INTRODUCTION: Several studies proposed that Restless Legs Syndrome (RLS) and Parkinson disease (PD) may be clinically and/or etiologically related. To examine this hypothesis, we aimed to determine whether the known RLS genetic markers may be associated with PD risk, as well as with PD subtype. METHODS: Two case-control cohorts from Tel-Aviv and New-York, including 1133 PD patients and 867 controls were genotyped for four RLS-related SNPs in the genes MEIS1, BTBD9, PTPRD and MAP2K5/SKOR1. The association between genotype, PD risk and phenotype was tested using multivariate regression models. RESULTS: None of the tested SNPs was significantly associated with PD risk, neither in any individual cohort nor in the combined analysis after correction for multiple comparisons. The MAP2K5/SKOR1 marker rs12593813 was associated with higher frequency of tremor in the Tel-Aviv cohort (61.0% vs. 46.5%, p = 0.001, dominant model). However, the risk allele for tremor in this gene has been associated with reduced RLS risk. Moreover, this association did not replicate in Tremor-dominant PD patients from New-York. CONCLUSION: RLS genetic risk markers are not associated with increased PD risk or subtype in the current study. Together with previous genetic, neuropathological and epidemiologic studies, our results further strengthen the notion that RLS and PD are likely to be distinct entities

Portrait of blood-derived extracellular vesicles in patients with Parkinson's disease.

The production of extracellular vesicles (EV) is a ubiquitous feature of eukaryotic cells but pathological events can affect their formation and constituents. We sought to characterize the nature, profile and protein signature of EV in the plasma of Parkinson's disease (PD) patients and how they correlate to clinical measures of the disease. EV were initially collected from cohorts of PD (n = 60; Controls, n = 37) and Huntington's disease (HD) patients (Pre-manifest, n = 11; manifest, n = 52; Controls, n = 55) - for comparative purposes in individuals with another chronic neurodegenerative condition - and exhaustively analyzed using flow cytometry, electron microscopy and proteomics. We then collected 42 samples from an additional independent cohort of PD patients to confirm our initial results. Through a series of iterative steps, we optimized an approach for defining the EV signature in PD. We found that the number of EV derived specifically from erythrocytes segregated with UPDRS scores corresponding to different disease stages. Proteomic analysis further revealed that there is a specific signature of proteins that could reliably differentiate control subjects from mild and moderate PD patients. Taken together, we have developed/identified an EV blood-based assay that has the potential to be used as a biomarker for PD