The Riemann–Hilbert approach is demonstrated to investigate the defocusing Lakshmanan–Porsezian–Daniel equation under fully asymmetric nonzero boundary conditions.In contrast to the symmetry case,this paper focuses...The Riemann–Hilbert approach is demonstrated to investigate the defocusing Lakshmanan–Porsezian–Daniel equation under fully asymmetric nonzero boundary conditions.In contrast to the symmetry case,this paper focuses on the branch points related to the scattering problem rather than using the Riemann surfaces.For the direct problem,we analyze the Jost solution of lax pairs and some properties of scattering matrix,including two kinds of symmetries.The inverse problem at branch points can be presented,corresponding to the associated Riemann–Hilbert.Moreover,we investigate the time evolution problem and estimate the value of solving the solutions by Jost function.For the inverse problem,we construct it as a Riemann–Hilbert problem and formulate the reconstruction formula for the defocusing Lakshmanan–Porsezian–Daniel equation.The solutions of the Riemann–Hilbert problem can be constructed by estimating the solutions.Finally,we work out the solutions under fully asymmetric nonzero boundary conditions precisely via utilizing the Sokhotski–Plemelj formula and the square of the negative column transformation with the assistance of Riemann surfaces.These results are valuable for understanding physical phenomena and developing further applications of optical problems.展开更多
We investigated the interaction between DNA and hexammine cobalt III [Co（NH3）6]3＋ by a simple molecular combing method and dynamic light scattering. The average extension of A- DNA-YOYO-1 complex is found to be 20....We investigated the interaction between DNA and hexammine cobalt III [Co（NH3）6]3＋ by a simple molecular combing method and dynamic light scattering. The average extension of A- DNA-YOYO-1 complex is found to be 20.9μm, about 30% longer than the contour length of the DNA in TE buffer （10 mmol/L Tris, 1 mmol/L EDTA, pH=8.0）, due to bis-intercalation of YOYO-1. A multivalent cation, hexammine cobalt, is used for DNA condensation. We find that the length of DNA-[Co（NH3）6]3＋ complexes decrease from 20.9 μm to 5.9μm as the concentration of the [Co（NH3）6]3＋ vary from 0 to 3 μmol/L. This observation provides a direct visualization of single DNA condensation induced by hexammine cobalt. The results from the molecular combing studies are supported by dynamic light scattering investigation, where the average hydrodynamic radius of the DNA complex decreases from 203.8 nm to 39.26 nm under the same conditions. It shows that the molecular combing method is feasible for quantitative conformation characterization of single bio-macromolecules.展开更多
【目的】研究8种食用菌游离氨基酸的组成、含量及呈味效果。【方法】采用高效液相色谱-蒸发光散射检测法(HPLC-ELSD),分别对香菇、白灵菇、海鲜菇、平菇、双孢菇、秀珍菇、杏鲍菇和金针菇8种食用菌的游离氨基酸组成及含量进行测定。【...【目的】研究8种食用菌游离氨基酸的组成、含量及呈味效果。【方法】采用高效液相色谱-蒸发光散射检测法(HPLC-ELSD),分别对香菇、白灵菇、海鲜菇、平菇、双孢菇、秀珍菇、杏鲍菇和金针菇8种食用菌的游离氨基酸组成及含量进行测定。【结果】白灵菇和金针菇的游离氨基酸种类最多,均有10种,除双孢菇不含有游离必需氨基酸外,其余7种食用菌均含有游离必需氨基酸。海鲜菇的游离必需氨基酸含量最高,为3.444mg/g;游离呈味氨基酸则以白灵菇含量最高,为45.680mg/g;游离限制氨基酸含量最高的是平菇,达0.413mg/g。对8种食用菌呈味效果贡献最大的是甘氨酸(Gly),其含量占8种食用菌游离氨基酸总量的19.56%~52.97%,味道强度值(Taste active value,TAV)为1.10~5.08。8种食用菌中,味道比较鲜的食用菌如香菇、白灵菇、海鲜菇、双孢菇都含有天冬氨酸(Asp),含量为2.155~45.310mg/g。【结论】从游离氨基酸来看,海鲜菇和双孢菇的食用风味最佳,平菇和金针菇营养价值最好。展开更多
基金the Fundamental Research Funds for the Central Universities(Grant No.2024MS126).
文摘The Riemann–Hilbert approach is demonstrated to investigate the defocusing Lakshmanan–Porsezian–Daniel equation under fully asymmetric nonzero boundary conditions.In contrast to the symmetry case,this paper focuses on the branch points related to the scattering problem rather than using the Riemann surfaces.For the direct problem,we analyze the Jost solution of lax pairs and some properties of scattering matrix,including two kinds of symmetries.The inverse problem at branch points can be presented,corresponding to the associated Riemann–Hilbert.Moreover,we investigate the time evolution problem and estimate the value of solving the solutions by Jost function.For the inverse problem,we construct it as a Riemann–Hilbert problem and formulate the reconstruction formula for the defocusing Lakshmanan–Porsezian–Daniel equation.The solutions of the Riemann–Hilbert problem can be constructed by estimating the solutions.Finally,we work out the solutions under fully asymmetric nonzero boundary conditions precisely via utilizing the Sokhotski–Plemelj formula and the square of the negative column transformation with the assistance of Riemann surfaces.These results are valuable for understanding physical phenomena and developing further applications of optical problems.
文摘We investigated the interaction between DNA and hexammine cobalt III [Co（NH3）6]3＋ by a simple molecular combing method and dynamic light scattering. The average extension of A- DNA-YOYO-1 complex is found to be 20.9μm, about 30% longer than the contour length of the DNA in TE buffer （10 mmol/L Tris, 1 mmol/L EDTA, pH=8.0）, due to bis-intercalation of YOYO-1. A multivalent cation, hexammine cobalt, is used for DNA condensation. We find that the length of DNA-[Co（NH3）6]3＋ complexes decrease from 20.9 μm to 5.9μm as the concentration of the [Co（NH3）6]3＋ vary from 0 to 3 μmol/L. This observation provides a direct visualization of single DNA condensation induced by hexammine cobalt. The results from the molecular combing studies are supported by dynamic light scattering investigation, where the average hydrodynamic radius of the DNA complex decreases from 203.8 nm to 39.26 nm under the same conditions. It shows that the molecular combing method is feasible for quantitative conformation characterization of single bio-macromolecules.
文摘【目的】研究8种食用菌游离氨基酸的组成、含量及呈味效果。【方法】采用高效液相色谱-蒸发光散射检测法(HPLC-ELSD),分别对香菇、白灵菇、海鲜菇、平菇、双孢菇、秀珍菇、杏鲍菇和金针菇8种食用菌的游离氨基酸组成及含量进行测定。【结果】白灵菇和金针菇的游离氨基酸种类最多,均有10种,除双孢菇不含有游离必需氨基酸外,其余7种食用菌均含有游离必需氨基酸。海鲜菇的游离必需氨基酸含量最高,为3.444mg/g;游离呈味氨基酸则以白灵菇含量最高,为45.680mg/g;游离限制氨基酸含量最高的是平菇,达0.413mg/g。对8种食用菌呈味效果贡献最大的是甘氨酸(Gly),其含量占8种食用菌游离氨基酸总量的19.56%~52.97%,味道强度值(Taste active value,TAV)为1.10~5.08。8种食用菌中,味道比较鲜的食用菌如香菇、白灵菇、海鲜菇、双孢菇都含有天冬氨酸(Asp),含量为2.155~45.310mg/g。【结论】从游离氨基酸来看,海鲜菇和双孢菇的食用风味最佳,平菇和金针菇营养价值最好。
基金Supported by National Basic Research Program of China(2013CB329402)National Natural Science Foundation of China(61473215,61472306,61502369)+5 种基金the Fund for Foreign Scholars in University Research and Teaching Programs(B07048)the Major Research Plan of the National Natural Science Foundation of China(91438201,91438103)the Program for Cheung Kong Scholars and Innovative Research Team in University(IRT_15R53)the foundation from Ministry of Education of China(BK16015020001)the National Science Basic Plan in Shaanxi Province of China(2016JQ6049)the Fundamental Research Funds for the Central Universities(7215598901)
