A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations

AbstractIn dimension n⩾3, we define a generalization of the classical two-dimensional partial Legendre transform, that reduces interior regularity of the generalized Monge–Ampère equation detD2u=k(x,u,Du) to regularity of a divergence form quasilinear system of special form. This is then used to obtain smoothness of C2,1 solutions, having n-1 nonvanishing principal curvatures, to certain subelliptic Monge–Ampère equations in dimension n⩾3. A corollary is that if k⩾0 vanishes only at nondegenerate critical points, then a C2,1 convex solution u is smooth if and only if the symmetric function of degree n-1 of the principal curvatures of u is positive, and moreover, u fails to be C3,1-2n+ɛ when not smooth

Ejecución Presupuestal y Plan Anual de Contrataciones en la Gerencia General del Poder Judicial, Lima 2016

La presente investigación tuvo como objetivo general determinar la relación existente entre la ejecución presupuestal y el plan anual de contrataciones de la Gerencia General del Poder Judicial, Lima 2016 El tipo de estudio fue básico, diseño no experimental transversal de nivel descriptivo correlacional, la población estuvo conformada por 60 trabajadores de la Gerencia General del Poder Judicial, los datos se obtuvieron a través de la realización de una encuesta, constituida por 61 preguntas en escala de Likert. Se tabularon y se procesaron los datos en el paquete estadístico SPSS. La investigación evidencia que la ejecución presupuestal se relaciona considerablemente con el plan anual de contrataciones que desarrolla la Gerencia General del Poder Judicial. Se concluye que existe relación entre la ejecución presupuestal y el plan anual de contrataciones

Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code

We present an overview of the variational and diffusion quantum Monte Carlo methods as implemented in the CASINO program. We particularly focus on developments made in the last decade, describing state-of-the-art quantum Monte Carlo algorithms and software and discussing their strengths and their weaknesses. We review a range of recent applications of CASINO

IT-141, a Polymer Micelle Encapsulating SN-38, Induces Tumor Regression in Multiple Colorectal Cancer Models

Polymer micelles are promising drug delivery vehicles for the delivery of anticancer agents to tumors. Often, anticancer drugs display potent cytotoxic effects towards cancer cells but are too hydrophobic to be administered in the clinic as a free drug. To address this problem, a polymer micelle was designed using a triblock copolymer (ITP-101) that enables hydrophobic drugs to be encapsulated. An SN-38 encapsulated micelle, IT-141, was prepared that exhibited potent in vitro cytotoxicity against a wide array of cancer cell lines. In a mouse model, pharmacokinetic analysis revealed that IT-141 had a much longer circulation time, plasma exposure, and tumor exposure compared to irinotecan. IT-141 was also superior to irinotecan in terms of antitumor activity, exhibiting greater tumor inhibition in HT-29 and HCT116 colorectal cancer xenograft models at half the dose of irinotecan. The antitumor effect of IT-141 was dose-dependent and caused complete growth inhibition and tumor regression at well-tolerated doses. Varying the specific concentration of SN-38 within the IT-141 micelle had no detectible effect on this antitumor activity, indicating no differences in activity between different IT-141 formulations. In summary, IT-141 is a potent micelle-based chemotherapy that holds promise for the treatment of colorectal cancer

Impact of durum wheat milling on the deoxynivalenol distribution in the outcoming fractions

International audienceThe milling behavior of two naturally infected samples from durum wheat grains displaying contrasting levels of mycotoxins were analyzed. Although the two samples showed a similar milling behavior, an increase of about twenty percent in deoxynivalenol level was found in semolina from the sample containing the higher amount of mycotoxins. However, even if the highest concentration of deoxynivalenol was found in fractions originating from the grain outer layers, the mycotoxin contamination in semolina and flours were not related to the amount of two biochemical compounds (ash or phytic acid) that could be used as markers to monitor these external tissues. Presence of the trichothecene-producing fungi in the most internal semolina fraction was also shown using specific DNA primers and PCR amplification. Comparison between deoxynivalenol concentration in the feedings and corresponding output at each milling step or grinding of semolina fractions followed by sizing showed that mycotoxin concentration occurs in the finest particles at the first processing steps. Therefore, deoxynivalenol contamination of the milling fractions is not simply due to the presence of peripheral grain tissues

Evaluation of encapsulating and microporous nondegradable hydrogel scaffold designs on islet engraftment in rodent models of diabetes

Islet transplantation is a promising therapeutic option for type 1 diabetes mellitus, yet the current delivery into the hepatic portal vasculature is limited by poor engraftment. Biomaterials have been used as a means to promote engraftment and function at extrahepatic sites, with strategies being categorized as encapsulation or microporous scaffolds that can either isolate or integrate islets with the host tissue, respectively. Although these approaches are typically studied separately using distinct material platforms, herein, we developed nondegradable polyethylene glycol (PEG)‐based hydrogels for islet encapsulation or as microporous scaffolds for islet seeding to compare the initial engraftment and function of islets in syngeneic diabetic mice. Normoglycemia was restored with transplantation of islets within either encapsulating or microporous hydrogels containing 700 islet equivalents (IEQ), with transplantation on microporous hydrogels producing lower blood glucose levels at earlier times. A glucose challenge test at 1 month after transplant indicated that encapsulated islets had a delay in glucose‐stimulated insulin secretion, whereas microporous hydrogels restored normoglycemia in times consistent with native pancreata. Encapsulated islets remained isolated from the host tissue, whereas the microporous scaffolds allowed for revascularization of the islets after transplant. Finally, we compared the inflammatory response after transplantation for the two systems and noted that microporous hydrogels had a substantially increased presence of neutrophils. Collectively, these findings suggest that both encapsulation and microporous PEG scaffold designs allow for stable engraftment of syngeneic islets and the ability to restore normoglycemia, yet the architecture influences islet function and responsiveness after transplantation.Non‐degradable PEG hydrogels were developed for islet encapsulation or islet seeding to compare engraftment. Using a syngeneic rodent model of diabetes, normoglycemia was restored using either encapsulating or microporous scaffolds containing 700 islet equivalent, with microporous hydrogels achieving lower blood glucose levels at earlier time points. Characterization of the inflammatory response demonstrated microporous scaffolds had a substantially increased presence of neutrophils. These studies confirm both scaffold designs allow for engraftment, yet the architecture influences islet function and responsiveness post‐transplantation.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/146483/1/bit26741.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/146483/2/bit26741_am.pd