How do the positive embeddings of Banach lattices depend on the αth derivatives of K?

Let K and S be locally compact Hausdorff spaces and X be an abstract space. Suppose that T is a positive Banach lattice isomorphism from into . Then for each ordinal α the cardinalities of the αth derivatives and satisfy the following inequality Moreover, if then is a continuous image of a subset of which can be taken closed when K is compact. The first statement of this result for is a vector‐valued extension of a Cengiz's theorem and the second one is vector‐valued version of a Holsztyński's theorem. A simple example shows that the number is sharp in these vector‐valued theorems.     

High‐order compact schemes for fractional differential equations with mixed derivatives

In this article, we consider two‐dimensional fractional subdiffusion equations with mixed derivatives. A high‐order compact scheme is proposed to solve the problem. We establish a sufficient condition and show that the scheme converges with fourth order in space and second order in time under this condition.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 2141–2158, 2017     

Generalized Bessel functions: Theory and their applications

This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized‐tempered Bessel functions of the first‐ and second‐kind which are denoted by GTBFs‐1 and GTBFs‐2. Two special cases corresponding to the GTBFs‐1 and GTBFs‐2 are considered. We first prove that these functions are as the solutions of 2 linear differential operators and then show that these operators are self‐adjoint on suitable domains. Some interesting properties of these sets of functions such as orthogonality, completeness, fractional derivatives and integrals, recursive relations, asymptotic formulas, and so on are proved in detail. Finally, these functions are performed to approximate some functions and also to solve 3 practical differential equations of fractionalorders.     

Synthesis of 5-{[(1Hbenzo[d]imidazol-2-yl)sulfonyl]methyl}-3-phenyl-4,5-dihydroisoxazole derivatives,invitro antibacterial and antioxidant studies along with their insilico analyses

Synthesis of a series of novel sulfone derivatives 6(a-u) possessing benzimidazoles and isoxazoline rings tailored in a single molecule 5(a-u) was done by reactions using 5-(bromomethyl)-3-phenyl-4,5-dihydroisoxazoles 3(a-u) and 5-{[(1H-benzo[d]imidazol-2-yl)thio]methyl}-3-phenyl-4,5-dihydroisoxazoles 4(a-u) molecules. The chemical structures of all the newly synthesized compounds were established by IR, ¹HNMR, ¹³CNMR and LCMS spectral data. The biological characteristics of the novel sulfone compounds, such as their antioxidant and antibacterial activity, were evaluated. Among the synthesized sulfones derivatives, compounds 6 g, 6b, and 6e demonstrated outstanding antibacterial activity while compounds 6b, 6c, 6i, 6j, and 6 k demonstrated higher antioxidant activity. Further insilico absorption, distribution, metabolism, excretion, and toxicity (ADMET) studies of synthesized sulfones were studied which exhibited excellent intestinal absorption which is more than 80 %, and relatively moderate toxicity. Molecular docking studies confirmed the antibacterial and antioxidant potential which is comparable with the standard.     

Design,synthesis, characterization,and antimicrobial evaluation of some new pyridine and chromene derivatives containing Lidocaine analogue

In an attempt to find a new class of antimicrobial agents, a series 2-pyridinone and 2-iminochromene derivatives containing Lidocaine analogue were designed and synthesized. The 2-pyridinone derivatives (3), (4), and (6) were obtained through the cyclocondensation of 2-cyano-N-(2,6-dimethylphenyl)-acetamide (2) with 1,3-dicarbonyl compounds and/or ternary condensation of (2), aromatic aldehyde, and malononitrile. Also, a series of 2-iminochromene derivatives (7–9) were synthesized through the condensation reaction of cyanoacetamide derivative (2) with salicylaldehyde derivatives. The structure of the new compounds were confirmed based on elemental analysis and spectral data. These compounds were screened for their antibacterial and antifungal activity The minimal inhibitory concentration (MIC) (µg/mL) of the most active (4), (5b), and (8) derivatives were determined. The MIC values between 7.81 and 31.26 µg/mL against bacterial species for (8) derivative, and upon comparison to tetracycline exhibited a positive control MIC (31.26–62.6 µg/mL). Besides, the activity against C. albicans (ATCC 1023) showed a MIC value of 15.63 µg/mL, which is similar to that of Amphotericin B.     

Increasing Complexity in Adamantyl Thioethers Characterized by Rotational Spectroscopy

We report on the synthesis and characterization using high-resolution rotational spectroscopy of three bulky thioethers that feature an adamantyl group connected to a sulfur atom. Detailed experimental and theoretical structures are provided and compared with the 1,1′-diadamantyl ether. In addition, we expand on previous findings concerning microsolvation of adamantyl derivatives by investigating the cluster formation between these thioethers and a water molecule. The investigation of such clusters provides valuable insights into the sulfur-centered hydrogen bonding in thioethers with increasing size and steric repulsion.     

In silico study of novel niclosamide derivatives,SARS-CoV-2 nonstructural proteins catalytic residue-targeting small molecules drug candidates

The severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2)-mediated coronavirus disease 2019 (COVID-19) infection remains a global pandemic and health emergency with overwhelming social and economic impacts throughout the world. Therapeutics for COVID-19 are limited to only remdesivir; therefore, there is a need for combined, multidisciplinary efforts to develop new therapeutic molecules and explore the effectiveness of existing drugs against SARS-CoV-2. In the present study, we reported eight (SCOV-L-02, SCOV-L-09, SCOV-L-10, SCOV-L-11, SCOV-L-15, SCOV-L-18, SCOV-L-22, and SCOV-L-23) novel structurally related small-molecule derivatives of niclosamide (SCOV-L series) for their targeting potential against angiotensin-converting enzyme-2 (ACE2), type II transmembrane serine protease (TMPRSS2), and SARS-COV-2 nonstructural proteins (NSPs) including NSP5 (3CLpro), NSP3 (PLpro), and RdRp. Our correlation analysis suggested that ACE2 and TMPRSS2 modulate host immune response via regulation of immune-infiltrating cells at the site of tissue/organs entries. In addition, we identified some TMPRSS2 and ACE2 microRNAs target regulatory networks in SARS-CoV-2 infection and thus open up a new window for microRNAs-based therapy for the treatment of SARS-CoV-2 infection. Our in vitro study revealed that with the exception of SCOV-L-11 and SCOV-L-23 which were non-active, the SCOV-L series exhibited strict antiproliferative activities and non-cytotoxic effects against ACE2- and TMPRSS2-expressing cells. Our molecular docking for the analysis of receptor-ligand interactions revealed that SCOV-L series demonstrated high ligand binding efficacies (at higher levels than clinical drugs) against the ACE2, TMPRSS2, and SARS-COV-2 NSPs. SCOV-L-18, SCOV-L-15, and SCOV-L-09 were particularly found to exhibit strong binding affinities with three key SARS-CoV-2’s proteins: 3CLpro, PLpro, and RdRp. These compounds bind to the several catalytic residues of the proteins, and satisfied the criteria of drug-like candidates, having good adsorption, distribution, metabolism, excretion, and toxicity (ADMET) pharmacokinetic profile. Altogether, the present study suggests the therapeutic potential of SCOV-L series for preventing and managing SARs-COV-2 infection and are currently under detailed investigation in our lab.     

Structure-based design,synthesis of novel probes for cytochrome P450 OleT

Cytochrome P450 OleT_SA, a new cytochrome P450 enzyme from Staphylococcus aureus, catalyzes the oxidative decarboxylation and hydroxylation of fatty acids to generate terminal alkenes and fatty alcohols. The mechanism of this bifurcative chemistry remains largely unknown. Herein, a class of derivatized fatty acids were synthesized as probes to investigate the effects of substrate structure on the product type of P450 OleT_SA. The results demonstrate that the fine-tuned structure of substrates, even in a remote distance from the carboxyl group, significantly regulates OleT catalyzed decarboxylation/hydroxylation reactions. Molecular docking analysis indicated the potential interactions between the carboxylate groups of different probes and the enzyme active center which was attributed to the bifurcative chemistry.     

微纳米纤维素功能膜在能源与环境领域的应用

探寻绿色清洁的资源与材料以维持高效的社会经济增长是未来数十年人们面临的最大挑战之一. 可持续资源与绿色材料的开发是降低传统化石能源与材料比重的最有前途的方案. 纤维素作为一种可持续发展、 可生物再生、 储量丰富且低成本的天然高分子聚合物, 在众多领域中具有广泛的应用, 并且纤维素可以加工成各种构型, 包括气凝胶、 泡沫、 海绵和薄膜等. 本文介绍了不同形态的纤维素及其衍生物组装而成的功能膜在能源与环境中的应用, 综述了微纳米纤维素及其衍生物在先进功能化储能器件方面的最新进展和制备方案, 以及在用于水处理的膜分离技术中的应用, 其中重点讨论了微纳米纤维素及其衍生物功能膜在电池、 电容器及水处理等领域中的作用, 如隔膜、 柔性电极膜和分离膜等. 此外, 还对纤维素及其衍生物功能膜的未来发展进行了总结和展望.     

吲哚多样化环化合成咔唑衍生物研究进展

咔唑是一类特殊的含氮芳杂环分子,咔唑衍生物理化性质独特、结构多样,在天然产物、药物和功能材料领域有着广阔的应用,其合成方法一直备受关注.从吲哚直接环化到咔唑的合成方法简洁高效,原料廉价易得、产物种类多样.总结了近5年来以2,3-未取代吲哚为原料合成咔唑衍生物的方法,典型环化策略包含以下三种:[2+2′+2′]环化反应、[2+2′+2″]环化反应和[4+2]苯环化反应,探讨了每种方法的特点,并对未来的发展前景进行展望.