D维空间Cs2分子X1Σ+g态精确解析解

使用完全量子化规则法计算了D维空间中具有任意转动量子数Morse势的Schrödinger方程,得到了Cs2分子X1Σ+g态旋转-振动能谱,讨论了能谱与维度D和振动量子数之间的关系。结果表明：(1)具有不同转动量子数和振动量子数的能谱随维度D的增大而趋于相同;(2)高维Cs2分子X1Σ+g态的振动能特性与三维相似。     

Categorification of (induced) cell modules and the rough structure of generalised Verma modules

This paper presents categorifications of (right) cell modules and induced cell modules for Hecke algebras of finite Weyl groups. In type A we show that these categorifications depend only on the isomorphism class of the cell module, not on the cell itself. Our main application is multiplicity formulas for parabolically induced modules over a reductive Lie algebra of type A, which finally determines the so-called rough structure of generalised Verma modules. On the way we present several categorification results and give a positive answer to Kostant's problem from [A. Joseph, Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture, Invent. Math. 56 (3) (1980) 191-213] in many cases. We also present a general setup of decategorification, precategorification and categorification.     

Enzymatic Synthesis of Vancomycin-Modified DNA

Many potent antibiotics fail to treat bacterial infections due to emergence of drug-resistant strains. This surge of antimicrobial resistance (AMR) calls in for the development of alternative strategies and methods for the development of drugs with restored bactericidal activities. In this context, we surmised that identifying aptamers using nucleotides connected to antibiotics will lead to chemically modified aptameric species capable of restoring the original binding activity of the drugs and hence produce active antibiotic species that could be used to combat AMR. Here, we report the synthesis of a modified nucleoside triphosphate equipped with a vancomycin moiety on the nucleobase. We demonstrate that this nucleotide analogue is suitable for polymerase-mediated synthesis of modified DNA and, importantly, highlight its compatibility with the SELEX methodology. These results pave the way for bacterial-SELEX for the identification of vancomycin-modified aptamers.     

A generalization of the Carnahan–Starling approach with applications to four- and five-dimensional hard spheres

Development of good equations of state for hard spheres is an important task in the study of real fluids. In a way consistent with other theoretical results, we generalize the famous Carnahan–Starling approach for arbitrary dimensions and apply it to four- and five-dimensional hard spheres. We obtain simple and integer representations for virial coefficients of lower orders and accurate equations of state. Since theoretically and practically validated, these results improve understanding of hard sphere fluids.     

Optimal power-limited rendezvous of a spacecraft with bounded thrust and general linear equations of motion

The solution of the fixed-time optimal power-limited rendezvous with a general linear system of ordinary differential equations and a bound on the magnitude of the applied thrust is presented. Necessary and sufficient conditions for thrust saturation in an optimal solution are included.Because of the generality of the linear system of equations of motion, controllability considerations are required for a complete solution of this problem. It is shown that the condition of controllability can be defined completely in terms of a class of primer vectors associated with this problem. Moreover, it is shown that two distinct versions of the primer vector appear in this problem. Therefore, there is not a unique primer vector associated with every rendezvous problem.The work is applied to the problem of the rendezvous of a spacecraft near a satellite in circular orbit. The optimal rendezvous trajectory is determined by the interaction of a primer vector and the bound on the thrust magnitude. The results of computer simulations are presented graphically.     

AC dielectrophoretic deformable particle-particle interactions and their relative motions

This paper develops a numerical simulation model to research the deformable particle-particle interactions caused by dielectrophoresis (DEP) under AC electric fields. The DEP force is calculated by using Maxwell stress tensor method, and the hydrodynamic force is obtained by calculating the hydrodynamic stress tensor. Simulation results show that the DEP interactive motion will facilitate the particles forming particle chains that are parallel to the electric field, and the particles with low shear modulus present a lower x-component velocity. Also, the electric field intensity and particles radius have some effects on the DEP motions, and for different particles, smaller particles with larger electric field intensity easily reach a larger velocity. The numerical research may provide universal guidance for biological cells manipulation and assembly.     

Application of Single—labelled Probe—primer in PCR Amplification to the Detection of Hepatitis B Virus DNA

A new method based on the incorporation of a single-lablled probe-primer into polymerase chain reaction(PCR) for the detection of PCR-amplified DNA in a closed system is reported.The probeprimerc consists of a specific probe sequence on the 5‘‘‘‘‘‘‘‘-end and a primer sequence on the 3‘‘‘‘‘‘‘‘-end.A flurophore is located at the 5‘‘‘‘‘‘‘‘end.The primeR-quencher is an oligonucleotide,which is complementary to the probe sequence of probe-primer and labelled with a quencher at the 3‘‘‘‘‘‘‘‘-end.In the duplex formed by probe-primer and primer-quencher.the fluorophore and quencher are kept in close proximity to each other.Therefore the fluorescence is quenched.During PCR amplificatio,the specific probe sequence of probeprimer binds to its complement within the same strand of DNA,and is cleaved by Taq DNA polymerase,resulting in the restoration of fluorescence.This system has the same energy transfer mechanism as molecular beacons,and a good quenching effciency can be ensured.Following optimization of PCR conditions,this method was used to detect hepatitis b virus(HBV) dna in patient sera.This technology eliminates the risk of carry-over contamination,simplifies the amplification assay and opens up new possibilities for the real-time detection of the amplified DNA.     

Design of allele-specific primers and detection of the human ABO genotyping to avoid the pseudopositive problem

PCR experiments using DNA primers forming mismatch pairing with template lambda DNA at the 3' end were carried out in order to develop allele-specific primers capable of detecting SNP in genomes without generating pseudopositive amplification products, and thus avoiding the so-called pseudopositive problem. Detectable amounts of PCR products were obtained when primers forming a single or two mismatch pairings at the 3' end were used. In particular, 3' terminal A/C or T/C (primer/template) mismatches tended to allow PCR amplification to proceed, resulting in pseudopositive results in many cases. While less PCR product was observed for primers forming three terminal mismatch pairings, target DNA sequences were efficiently amplified by primers forming two mismatch pairings next to the terminal G/C base pairing. These results indicate that selecting a primer having a 3' terminal nucleotide that recognizes the SNP nucleotide and the next two nucleotides that form mismatch pairings with the template sequence can be used as an allele-specific primer that eliminates the pseudopositive problem. Trials with the human ABO genes demonstrated that this primer design is also useful for detecting a single base pair difference in gene sequences with a signal-to-noise ratio of at least 45.     

Gram (−) microorganisms DNA polymerase inhibition,antibacterial and chemical properties of fruit and leaf extracts of Sorbus acuparia and Sorbus caucasica var. yaltirikii

Investigation of novel plant‐based agents might provide alternative antibiotics and thus fight antibiotic resistance. Here, we measured the ability of fruit and leaf extracts of Sorbus aucuparia (Sauc ) and endemic Sorbus caucasica var. yaltirikii (Scau ) to inhibit nonreplicative (Klenow Fragment‐KF and Bacillus Large Fragment‐BLF) and replicative (DnaE and PolC) bacterial DNA polymerases along with their antimicrobial, DPPH free radical scavenging activity (RSA), and chemical contents by total phenolic content and HPLC‐DAD analysis. We found that leaf extracts had nearly 10‐fold higher RSA and 5‐fold greater TPC than the corresponding fruit extracts. All extracts had large amounts of chlorogenic acid (CGA) and rutin, while fruit extracts had large amounts of quercetin. Hydrolysis of fruit extracts revealed mainly caffeic acid from CGA (caffeoylquinic acid) and quercetin from rutin (quercetin‐3‐O ‐rutinoside), as well as CGA and derivatives of CGA and p ‐coumaric acid. Plant extracts of Sorbus species showed antimicrobial activity against Gram‐negative microorganisms. Scau leaf extracts exhibited strong inhibition of KF activity. Sauc and Scau leaf extracts also strongly inhibited two replicative DNA polymerases. Thus, these species can be considered a potential source of novel antimicrobial agents specific for Gram‐negative bacteria.