Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions

Making use of the Whittaker-Shannon interpolation formula with shifted sampling points, we propose in this paper a well-posed semi-discretization of the stationary Wigner equation with inflow BCs. The convergence of the solutions of the discrete problem to the continuous problem is then analysed, providing certain regularity of the solution of the continuous problem.Comment: 14 page

The insertion/deletion (I/D) polymorphism in the Angiotensin-converting enzyme gene and cancer risk: a meta-analysis

<p>Abstract</p> <p>Background</p> <p>The insertion/deletion (I/D) polymorphism in the <it>Angiotensin-converting enzyme </it>(<it>ACE</it>) gene has been implicated in susceptibility to cancer, but a large number of studies have reported inconclusive results. The aim of this study is to assess the association between the I/D polymorphism in the <it>ACE </it>gene and cancer risk by meta-analysis.</p> <p>Methods</p> <p>A search was performed in Pubmed database, Embase database, Chinese Biomedical (CBM) database, China National Knowledge Infrastructure (CNKI) database and Weipu database, covering all studies until August 31, 2010. Statistical analysis was performed by using Revman4.2 and STATA 10.0.</p> <p>Results</p> <p>A total of 25 case-control studies comprising 3914 cancer patients and 11391 controls were identified. No significant association was found between the I/D polymorphism and over all cancer risks (OR = 0.88, 95%CI = 0.73-1.06, P = 0.17 for DD+DI vs. II). In the subgroup analysis by ethnicity, no significant association was found among Asians and Europeans for the comparison of DD+DI vs. II. In the subgroup analysis by cancer types, no significant associations were found among lung cancer, breast cancer, prostate cancer, colorectal cancer, gastric cancer for the comparison of DD+DI vs. II. Results from other comparative genetic models also indicated the lack of associations between this polymorphism and cancer risks.</p> <p>Conclusions</p> <p>This meta-analysis suggested that the <it>ACE </it>D/I polymorphism might not contribute to the risk of cancer.</p

Research on standardization construction of information interoperability framework

There are various ways for various services to carry out accusation information interoperability. The establishment of a standardized accusation information interoperability framework can provide a way to solve the problem of diversified and complicated implementation of accusation information interoperability between systems. This paper analyzes and compares three types of design methods, centering on the Battle Management Language(BML), combined with the structural concepts of Service-Oriented Architecture(SOA) and Unified Architecture Framework(UAF). Finally, a directly connected structural framework was chosen to build, and a public service supporting structural framework including six levels of system, technology, resources, service, function and organization, and multiple elements such as ontology model, semantic mapping and model generation is constructed, providing theoretical support for the research on standardization of accusative information interoperability

Effect of Cationic Modified Microcrystalline Cellulose on the Emulsifying Properties and Water/Oil Interface Behavior of Soybean Protein Isolate

Stabilizing emulsion using complex biopolymers is a common strategy. It would be very interesting to characterize the impact of charge density on the emulsifying properties of complex polyelectrolytes carrying opposite charges. In this study, cationic modified microcrystalline celluloses (CMCC) of different charge densities were prepared and mixed with soy protein isolate (SPI) for emulsion applications. CMCC-1 to 3 with various cationic charge values were successfully prepared as characterized by zeta-potential and FTIR. The positive charge density&rsquo;s effects on solubility, thermogravimetric properties, and rheological properties were studied. Complexes of SPI-CMCC with various zeta-potential values were then obtained and used to stabilize soybean oil emulsions. The results show that emulsions stabilized by complexes of SPI and CMCC-3 at a ratio of 1:3 had the best emulsification ability and stability. However, the interfacial tension-reducing ability of complexes decreased continuously with increasing cationic charge value, while the rheological results show that complexes of SPI-CMCC-3 at a ratio of 1:3 formed a stronger viscoelastic network than other complexes. Our results indicate that this SPI-CMCC complex formula showed excellent emulsification performance, which could be adjusted and promoted by changing the charge density. This complex formula is promising for fabrication of emulsion-based food and cosmetic products

Superelastic Graphene Aerogels Constructed by Structural Modulation for Piezoresistive Sensing

The microstructure is a critical factor in determining the macroscopic properties of aerogel materials and has a significant impact on their performance in various application scenarios. Here, drawing inspiration from the microstructure regulation of the bubble template, polyvinylpyrrolidone (PVP) was used to microscopically regulate graphene oxide nanosheets in the fabrication of the graphene aerogel (GA). Simultaneously, sodium dodecyl sulfate (SDS) foaming was employed as the bubble template to aid in the construction of PVP/SDS-GA (PSGA) with a hierarchical porous structure. Such an innovative structural blueprint inherently promotes a more even distribution of stress, thereby enhancing the compressive strength of the aerogel. The advanced architecture of PSGA enables rapid desiccation by using ambient pressure and elevated thermal methods, simplifying the fabrication process. PSGA possesses several remarkable characteristics: an ultralow density of 2.84 mg/cm3, a high electrical conductivity of 10 S/m, a superelasticity with an extreme strain of 99%, an outstanding fatigue resistance with the ability to withstand 10,000 cycles at 70% strain, and a high compressive strength of 0.66 MPa. In light of these characteristics, the piezoresistive sensor conceptualized using PSGA as a foundational substrate exhibited superior signal discernment capabilities

Fluorine Doping Strengthens the Lithium-Storage Properties of the Mn-Based Metal–Organic Framework

The electrochemical properties of the metal–organic framework (MOF)-based composite as electrode material can be significantly improved by means of partial destruction of the full coordination of linkers to metal ions and replacing with other small ions, which make metal centers become more accostable and consequently more effective for the lithiation/delithiation process. In this paper, F^– was chosen to replace some of the benzenedicarboxylate (BDC) linkers because of its better interaction with the Li⁺ than the oxide ion. What’s more, the formed M–F bond promotes the Li⁺ to transfer at the active material interface and protects the surface from HF attacking. The as-synthesized F-doped Mn-MOF electrode maintains a reversible capacity of 927 mA h g^–1 with capacity retention of 78.5% after 100 cycles at 100 mA g^–1 and also exhibits a high discharge capacity of 716 mA h g^–1 at 300 mA g^–1 and 620 mA h g^–1 at 500 mA g^–1 after 500 cycles. Even at 1000 mA g^–1, the electrode still maintains a high reversible capacity of 494 mA h g^–1 after 500 cycles as well as a Coulombic efficiency of nearly 100%, which is drastically increased compared with pure Mn-MOF material as expected

Tandem Nitrogen Functionalization of Porous Carbon: Toward Immobilizing Highly Active Palladium Nanoclusters for Dehydrogenation of Formic Acid

Highly dispersed palladium nanoclusters (Pd NCs) immobilized by a nitrogen (N)-functionalized porous carbon support (N-MSC-30) are synthesized by a wet chemical reduction method, wherein the N-MSC-30 prepared by a tandem low-temperature heat-treatment approach proved to be a distinct support for stabilizing the Pd NCs. The prepared Pd/N-MSC-30 shows extremely high catalytic activity and recyclability for the dehydrogenation of formic acid (FA), affording the highest turnover frequency (TOF = 8414 h^–1) at 333 K, which is much higher than that of the Pd catalyst supported on the N-MSC-30 prepared via a one-step process. This tandem heat-treatment strategy provides a facile and effective synthetic methodology to immobilize ultrafine metal NPs on N-functionalized carbon materials, which have tremendous application prospects in various catalytic fields