In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided...In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided they are locally univalent and sense-preserving. Furthermore, we extend this analysis to a more general case by setting specific conditions. Additionally, we take some common parameters such as as the dilatation of these harmonic mappings, and prove the sufficient conditions that their combinations are locally univalent and convex in the vertical direction. Several examples are constructed by the Mathematica software to demonstrate our main results.展开更多
目的探索从Cohn氏法组分Ⅲ(组分Ⅲ)沉淀中纯化人凝血因子Ⅶ(FⅦ)的方法并对纯化产物进行鉴定。方法将组分Ⅲ沉淀溶解,经柠檬酸钡吸附、洗脱、硫酸铵沉淀、2次DEAE-Sepharose Fast Flow离子交换层析和Sephadex G-100凝胶过滤纯化人FⅦ。...目的探索从Cohn氏法组分Ⅲ(组分Ⅲ)沉淀中纯化人凝血因子Ⅶ(FⅦ)的方法并对纯化产物进行鉴定。方法将组分Ⅲ沉淀溶解,经柠檬酸钡吸附、洗脱、硫酸铵沉淀、2次DEAE-Sepharose Fast Flow离子交换层析和Sephadex G-100凝胶过滤纯化人FⅦ。结果从400g组分Ⅲ沉淀中最终得到10.1mg纯化的FⅦ,活性为1775.8U/mg,FⅦ被浓缩了近6000倍,总活性回收率为17.6%,SDS-PAGE电泳鉴定只有1条主条带。结论组分Ⅲ沉淀中有很高FⅧ活性;建立了从组分Ⅲ沉淀中纯化人FⅦ的方法。展开更多
This paper is concerned with root localization of a complex polynomial with respect to the unit circle in the more general case. The classical Schur-Cohn-Fujiwara theorem converts the inertia problem of a polynomial t...This paper is concerned with root localization of a complex polynomial with respect to the unit circle in the more general case. The classical Schur-Cohn-Fujiwara theorem converts the inertia problem of a polynomial to that of an appropriate Hermitian matrix under the condition that the associated Bezout matrix is nonsingular. To complete it, we discuss an extended version of the Schur-Cohn-Fujiwara theorem to the singular case of that Bezout matrix. Our method is mainly based on a perturbation technique for a Bezout matrix. As an application of these results and methods, we further obtain an explicit formula for the number of roots of a polynomial located on the upper half part of the unit circle as well.展开更多
目的采用全层析工艺从废弃的Cohn法组分Ⅳ沉淀(Cohn fraction Ⅳ precipitate, Cohn F Ⅳ)中提取抗凝血酶Ⅲ(antithrombin Ⅲ, AT Ⅲ)、α1-抗胰蛋白酶(α1-antitrypsin,α1-AT)和人血白蛋白进行综合利用。方法将Cohn F Ⅳ溶解并澄清处...目的采用全层析工艺从废弃的Cohn法组分Ⅳ沉淀(Cohn fraction Ⅳ precipitate, Cohn F Ⅳ)中提取抗凝血酶Ⅲ(antithrombin Ⅲ, AT Ⅲ)、α1-抗胰蛋白酶(α1-antitrypsin,α1-AT)和人血白蛋白进行综合利用。方法将Cohn F Ⅳ溶解并澄清处理后进行SD法病毒灭活,得到上柱前料液,再依次采用阴离子交换层析、肝素亲和层析+α1-AT Select串联亲和层析、疏水层析以及分子筛层析后分别得到AT Ⅲ和α1-AT的纯品以及主要含有人血白蛋白的组分。对AT Ⅲ和α1-AT分别进行纯度、活性以及肝素亲和力等方面的检测,并评价其质量属性。结果采用此方法获得的AT Ⅲ纯度可达99%以上,比活达10 IU/mg以上,肝素亲和力达80%以上;α1-AT纯度同样可达99%以上,比活达1.5 PU/mg以上。结论本研究所述方法可成功将Cohn F Ⅳ中的AT Ⅲ、α1-AT以及人血白蛋白等几种目前最具备提取利用价值的蛋白进行有效的分离,在人血浆综合利用方面具有较高的利用价值。展开更多
文摘In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided they are locally univalent and sense-preserving. Furthermore, we extend this analysis to a more general case by setting specific conditions. Additionally, we take some common parameters such as as the dilatation of these harmonic mappings, and prove the sufficient conditions that their combinations are locally univalent and convex in the vertical direction. Several examples are constructed by the Mathematica software to demonstrate our main results.
文摘目的探索从Cohn氏法组分Ⅲ(组分Ⅲ)沉淀中纯化人凝血因子Ⅶ(FⅦ)的方法并对纯化产物进行鉴定。方法将组分Ⅲ沉淀溶解,经柠檬酸钡吸附、洗脱、硫酸铵沉淀、2次DEAE-Sepharose Fast Flow离子交换层析和Sephadex G-100凝胶过滤纯化人FⅦ。结果从400g组分Ⅲ沉淀中最终得到10.1mg纯化的FⅦ,活性为1775.8U/mg,FⅦ被浓缩了近6000倍,总活性回收率为17.6%,SDS-PAGE电泳鉴定只有1条主条带。结论组分Ⅲ沉淀中有很高FⅧ活性;建立了从组分Ⅲ沉淀中纯化人FⅦ的方法。
基金Acknowledgements This work was supported by the National Natural Science Foundation of China （Nos. 11071017, 11271045） and the Program for New Century Excellent Talents in University.
文摘This paper is concerned with root localization of a complex polynomial with respect to the unit circle in the more general case. The classical Schur-Cohn-Fujiwara theorem converts the inertia problem of a polynomial to that of an appropriate Hermitian matrix under the condition that the associated Bezout matrix is nonsingular. To complete it, we discuss an extended version of the Schur-Cohn-Fujiwara theorem to the singular case of that Bezout matrix. Our method is mainly based on a perturbation technique for a Bezout matrix. As an application of these results and methods, we further obtain an explicit formula for the number of roots of a polynomial located on the upper half part of the unit circle as well.
