We apply the method of Grobner-Shirshov bases for replicated algebras devel-oped by Kolesnikov to offer a general approach for constructing free products of associative trialgebras(or trioids).In particular,the open p...We apply the method of Grobner-Shirshov bases for replicated algebras devel-oped by Kolesnikov to offer a general approach for constructing free products of associative trialgebras(or trioids).In particular,the open problem of Zhuchok on constructing free products of trioids is solved.展开更多
The objective of this research was to elucidate the biological effect of novel compounds derived from natural product of syringaldehyde through novel semi-synthetic method in order to investigate the physicochemical p...The objective of this research was to elucidate the biological effect of novel compounds derived from natural product of syringaldehyde through novel semi-synthetic method in order to investigate the physicochemical properties and biological activities by using DPPH and FRAP techniques and its antibacterial activities against Klebsiella spp., Pseudomonas aeruginosa, Bacillus cereus, and Staphylococcus aureus. Moreover, to examine its ability against breast cancer cell line (MCF-7). The results showed that the syringaldehyde hydrazonate copper complexes possessed the covalent bonds with square-planar structure. In terms of antioxidant DPPH activities, it was found that syringaldehyde hydrazone possessed high potency against DPPH free radicals, with respect to syringaldehyde hydrazonate copper complexes. On the other hand, all compounds possessed low reducing properties for changing Fe<sup>3+</sup> to Fe<sup>2+</sup> in FRAP technique. For antibacterial activities revealed that the ligand L1 and L5 possessed high effect on Pseudomonas aeruginosa, but for all copper complexes possessed high potent antibacterial susceptibility to four bacteria with concentration dependence. For anti-breast cancer cell line (MCF-7), it was found that all compounds possessed high potent anticancer susceptibility with low IC<sub>50</sub>, especially, compound exhibit highly potency effective is C5 (IC<sub>50</sub> 9.75 μM). The tendency of anticancer effect from high to low was C5 > C2 > C1 > C4 > C3. Therefore, all synthetic compounds obtained from the present research possibly develop as the antibacterial drugs and the drugs for curing the diseases caused by free radicals, including breast cancer in metastatic phase. The most important feature of these drugs was the high specificity to the target and harmless to the normal cells.展开更多
Plant-originated natural products are important drug sources.However,total biosynthesis of these compounds is often not achievable due to their uncharacterized,lengthy biosynthetic pathways.In nature,phenethylisoquino...Plant-originated natural products are important drug sources.However,total biosynthesis of these compounds is often not achievable due to their uncharacterized,lengthy biosynthetic pathways.In nature,phenethylisoquinoline alkaloids(PIAs)such as colchicine are biosynthesized via a common precursor 6,7-dihydroxy-1-(4-hydroxyphenylethyl)-1,2,3,4-tetrahydroisoquinoline(i.e.,phenethylisoquinoline scaffold,PIAS).PIAS is naturally synthesized in plants by using two upstream substrates(L-phenylalanine and L-tyrosine)catalyzed by eight enzymes.To shorten this native pathway,here we designed an artificial route to synthesize PIAS with two enzymatic steps from two alternative substrates of 3-(4-hydroxyphenyl)propanol(4-HPP)and dopamine.In the two-step bioconversion,an alcohol dehydrogenase selected from yeast(i.e.,ADH7)was able to oxidize its non-native alcohol substrate 4-HPP to form the corresponding aldehyde product,which was then condensed with dopamine by the(S)-norcoclaurine synthase(NCS)to synthesize PIAS.After optimization,the final enzymatic reaction system was successfully scaled up by 200 times from 50μL to 10 mL,generating 5.4 mM of PIAS.We envision that this study will provide an easy and sustainable approach to produce PIAS and thus lay the foundation for large-scale production of PIAS-derived natural products.展开更多
A C*-metric algebra consists of a unital C*-algebra and a Leibniz Lip-norm on the C*-algebra. We show that if the Lip-norms concerned are lower semicontinuous, then any unital *-homomorphism from a C*-metric algebra t...A C*-metric algebra consists of a unital C*-algebra and a Leibniz Lip-norm on the C*-algebra. We show that if the Lip-norms concerned are lower semicontinuous, then any unital *-homomorphism from a C*-metric algebra to another one is necessarily Lipschitz. We come to the result that the free product of two unital completely Lipschitz contractive *-homomorphisms from upper related C*-metric algebras coming from *-filtrations to those which are lower related is a unital Lipschitz *-homomorphism.展开更多
A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. ...A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. Firstly, by associativity and the unitary property, we prove that the vector space with the conjunction product is a graded algebra. Then by the definition of free algebra, we prove that the algebra is free. Finally, by the coassociativity and the counitary property, we prove that the vector space with the unshuffle coproduct is a graded coalgebra.展开更多
基金supported by the Natural Science Foundation of Huizhou University(2022JB035,HZU202001)the Guangdong Basic and Applied Basic Research Foundation(2023A1515011690)+3 种基金the Characteristic Innovation Project of Guangdong Provincial Department of Education(2023KTSCX145)supported by the NNSF of China(11571121,12071156)supported by the NNSF of China(12101248)by the China Postdoctoral Science Foundation(2021M691099).
文摘We apply the method of Grobner-Shirshov bases for replicated algebras devel-oped by Kolesnikov to offer a general approach for constructing free products of associative trialgebras(or trioids).In particular,the open problem of Zhuchok on constructing free products of trioids is solved.
文摘The objective of this research was to elucidate the biological effect of novel compounds derived from natural product of syringaldehyde through novel semi-synthetic method in order to investigate the physicochemical properties and biological activities by using DPPH and FRAP techniques and its antibacterial activities against Klebsiella spp., Pseudomonas aeruginosa, Bacillus cereus, and Staphylococcus aureus. Moreover, to examine its ability against breast cancer cell line (MCF-7). The results showed that the syringaldehyde hydrazonate copper complexes possessed the covalent bonds with square-planar structure. In terms of antioxidant DPPH activities, it was found that syringaldehyde hydrazone possessed high potency against DPPH free radicals, with respect to syringaldehyde hydrazonate copper complexes. On the other hand, all compounds possessed low reducing properties for changing Fe<sup>3+</sup> to Fe<sup>2+</sup> in FRAP technique. For antibacterial activities revealed that the ligand L1 and L5 possessed high effect on Pseudomonas aeruginosa, but for all copper complexes possessed high potent antibacterial susceptibility to four bacteria with concentration dependence. For anti-breast cancer cell line (MCF-7), it was found that all compounds possessed high potent anticancer susceptibility with low IC<sub>50</sub>, especially, compound exhibit highly potency effective is C5 (IC<sub>50</sub> 9.75 μM). The tendency of anticancer effect from high to low was C5 > C2 > C1 > C4 > C3. Therefore, all synthetic compounds obtained from the present research possibly develop as the antibacterial drugs and the drugs for curing the diseases caused by free radicals, including breast cancer in metastatic phase. The most important feature of these drugs was the high specificity to the target and harmless to the normal cells.
基金supported by grants from the National Natural Science Foundation of China(32171427 and 31971348)。
文摘Plant-originated natural products are important drug sources.However,total biosynthesis of these compounds is often not achievable due to their uncharacterized,lengthy biosynthetic pathways.In nature,phenethylisoquinoline alkaloids(PIAs)such as colchicine are biosynthesized via a common precursor 6,7-dihydroxy-1-(4-hydroxyphenylethyl)-1,2,3,4-tetrahydroisoquinoline(i.e.,phenethylisoquinoline scaffold,PIAS).PIAS is naturally synthesized in plants by using two upstream substrates(L-phenylalanine and L-tyrosine)catalyzed by eight enzymes.To shorten this native pathway,here we designed an artificial route to synthesize PIAS with two enzymatic steps from two alternative substrates of 3-(4-hydroxyphenyl)propanol(4-HPP)and dopamine.In the two-step bioconversion,an alcohol dehydrogenase selected from yeast(i.e.,ADH7)was able to oxidize its non-native alcohol substrate 4-HPP to form the corresponding aldehyde product,which was then condensed with dopamine by the(S)-norcoclaurine synthase(NCS)to synthesize PIAS.After optimization,the final enzymatic reaction system was successfully scaled up by 200 times from 50μL to 10 mL,generating 5.4 mM of PIAS.We envision that this study will provide an easy and sustainable approach to produce PIAS and thus lay the foundation for large-scale production of PIAS-derived natural products.
基金supported by the Shanghai Leading Academic Discipline Project (Project No. B407)National Natural Science Foundation of China (Grant No. 10671068)
文摘A C*-metric algebra consists of a unital C*-algebra and a Leibniz Lip-norm on the C*-algebra. We show that if the Lip-norms concerned are lower semicontinuous, then any unital *-homomorphism from a C*-metric algebra to another one is necessarily Lipschitz. We come to the result that the free product of two unital completely Lipschitz contractive *-homomorphisms from upper related C*-metric algebras coming from *-filtrations to those which are lower related is a unital Lipschitz *-homomorphism.
文摘A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. Firstly, by associativity and the unitary property, we prove that the vector space with the conjunction product is a graded algebra. Then by the definition of free algebra, we prove that the algebra is free. Finally, by the coassociativity and the counitary property, we prove that the vector space with the unshuffle coproduct is a graded coalgebra.
