In this paper,we set up dynamic solitary perturb solutions of a unidirectional stochastic longitudinal wave equation in a magneto-electro-elastic annular bar by a feasible,useful,and influential method named the dual(...In this paper,we set up dynamic solitary perturb solutions of a unidirectional stochastic longitudinal wave equation in a magneto-electro-elastic annular bar by a feasible,useful,and influential method named the dual(G’/G,1/G)-expansion method.Computer software,like Mathematica,is used to complete this discussion.The obtained solutions of the proposed equation are classified into trigonometric,hyperbolic,and rational types which play an important role in searching for numerous scientific events.The technique employed here is an extension of the(G’/G)-expansion technique for finding all previously discovered solutions.To illustrate our findings more clearly,we provide 2D and 3D charts of the various recovery methods.We then contrasted our findings with those of past solutions.The graphical illustrations of the acquired solutions are singular periodic solitons and kink solitons which are added at the end of this paper.展开更多
AIM: To screen and investigate the effective g RNAs against hepatitis B virus(HBV) of genotypes A-D.METHODS: A total of 15 g RNAs against HBV of genotypes A-D were designed. Eleven combinations of two above g RNAs(dua...AIM: To screen and investigate the effective g RNAs against hepatitis B virus(HBV) of genotypes A-D.METHODS: A total of 15 g RNAs against HBV of genotypes A-D were designed. Eleven combinations of two above g RNAs(dual-g RNAs) covering the regulatory region of HBV were chosen. The efficiency of each g RNA and 11 dual-g RNAs on the suppression of HBV(genotypes A-D) replication was examined by the measurement of HBV surface antigen(HBs Ag) or e antigen(HBe Ag) in the culture supernatant. The destruction of HBV-expressing vector was examined in Hu H7 cells co-transfected with dual-g RNAs and HBVexpressing vector using polymerase chain reaction(PCR) and sequencing method, and the destruction of ccc DNAwas examined in Hep AD38 cells using KCl precipitation, plasmid-safe ATP-dependent DNase(PSAD) digestion, rolling circle amplification and quantitative PCR combined method. The cytotoxicity of these g RNAs was assessed by a mitochondrial tetrazolium assay.RESULTS: All of g RNAs could significantly reduce HBs Ag or HBe Ag production in the culture supernatant, which was dependent on the region in which g RNA against. All of dual g RNAs could efficiently suppress HBs Ag and/or HBe Ag production for HBV of genotypes A-D, and the efficacy of dual g RNAs in suppressing HBs Ag and/or HBe Ag production was significantly increased when compared to the single g RNA used alone. Furthermore, by PCR direct sequencing we confirmed that these dual g RNAs could specifically destroy HBV expressing template by removing the fragment between the cleavage sites of the two used g RNAs. Most importantly, g RNA-5 and g RNA-12 combination not only could efficiently suppressing HBs Ag and/or HBe Ag production, but also destroy the ccc DNA reservoirs in Hep AD38 cells.CONCLUSION: These results suggested that CRISPR/Cas9 system could efficiently destroy HBV expressing templates(genotypes A-D) without apparent cytotoxicity. It may be a potential approach for eradication of persistent HBV ccc DNA in chronic HBV infection patients.展开更多
In this paper we study operator valued bases on Hilbert spaces and similar to Schauder bases theory we introduce characterizations of this generalized bases in Hilbert spaces. We redefine the dual basis associated wit...In this paper we study operator valued bases on Hilbert spaces and similar to Schauder bases theory we introduce characterizations of this generalized bases in Hilbert spaces. We redefine the dual basis associated with a generalized basis and prove that the operators of a dual g-basis are continuous. Finally we consider the stability of g-bases under small perturbations. We generalize two results of Krein- Milman-Rutman and Paley-Wiener [7] to the situation of g-basis.展开更多
文摘In this paper,we set up dynamic solitary perturb solutions of a unidirectional stochastic longitudinal wave equation in a magneto-electro-elastic annular bar by a feasible,useful,and influential method named the dual(G’/G,1/G)-expansion method.Computer software,like Mathematica,is used to complete this discussion.The obtained solutions of the proposed equation are classified into trigonometric,hyperbolic,and rational types which play an important role in searching for numerous scientific events.The technique employed here is an extension of the(G’/G)-expansion technique for finding all previously discovered solutions.To illustrate our findings more clearly,we provide 2D and 3D charts of the various recovery methods.We then contrasted our findings with those of past solutions.The graphical illustrations of the acquired solutions are singular periodic solitons and kink solitons which are added at the end of this paper.
基金Supported by Natural Science Foundation of China,No.81471938the National S and T Major Project for Infectious Diseases,No.2013ZX10002-002 and No.2012ZX10002-005111 Project,No.B07001
文摘AIM: To screen and investigate the effective g RNAs against hepatitis B virus(HBV) of genotypes A-D.METHODS: A total of 15 g RNAs against HBV of genotypes A-D were designed. Eleven combinations of two above g RNAs(dual-g RNAs) covering the regulatory region of HBV were chosen. The efficiency of each g RNA and 11 dual-g RNAs on the suppression of HBV(genotypes A-D) replication was examined by the measurement of HBV surface antigen(HBs Ag) or e antigen(HBe Ag) in the culture supernatant. The destruction of HBV-expressing vector was examined in Hu H7 cells co-transfected with dual-g RNAs and HBVexpressing vector using polymerase chain reaction(PCR) and sequencing method, and the destruction of ccc DNAwas examined in Hep AD38 cells using KCl precipitation, plasmid-safe ATP-dependent DNase(PSAD) digestion, rolling circle amplification and quantitative PCR combined method. The cytotoxicity of these g RNAs was assessed by a mitochondrial tetrazolium assay.RESULTS: All of g RNAs could significantly reduce HBs Ag or HBe Ag production in the culture supernatant, which was dependent on the region in which g RNA against. All of dual g RNAs could efficiently suppress HBs Ag and/or HBe Ag production for HBV of genotypes A-D, and the efficacy of dual g RNAs in suppressing HBs Ag and/or HBe Ag production was significantly increased when compared to the single g RNA used alone. Furthermore, by PCR direct sequencing we confirmed that these dual g RNAs could specifically destroy HBV expressing template by removing the fragment between the cleavage sites of the two used g RNAs. Most importantly, g RNA-5 and g RNA-12 combination not only could efficiently suppressing HBs Ag and/or HBe Ag production, but also destroy the ccc DNA reservoirs in Hep AD38 cells.CONCLUSION: These results suggested that CRISPR/Cas9 system could efficiently destroy HBV expressing templates(genotypes A-D) without apparent cytotoxicity. It may be a potential approach for eradication of persistent HBV ccc DNA in chronic HBV infection patients.
文摘In this paper we study operator valued bases on Hilbert spaces and similar to Schauder bases theory we introduce characterizations of this generalized bases in Hilbert spaces. We redefine the dual basis associated with a generalized basis and prove that the operators of a dual g-basis are continuous. Finally we consider the stability of g-bases under small perturbations. We generalize two results of Krein- Milman-Rutman and Paley-Wiener [7] to the situation of g-basis.
