This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected...This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.展开更多
目的研究在肝纤维化发生发展中,结缔组织生长因子(CTGF)基因表达水平变化与肝纤维化病理分级和Ⅰ、Ⅲ型胶原基因表达的关系。方法以四氯化碳(CCl_4)皮下注射诱导大鼠肝纤维化作为实验模型,应用 HE 及 Sirius red 染色对肝纤维化进行病...目的研究在肝纤维化发生发展中,结缔组织生长因子(CTGF)基因表达水平变化与肝纤维化病理分级和Ⅰ、Ⅲ型胶原基因表达的关系。方法以四氯化碳(CCl_4)皮下注射诱导大鼠肝纤维化作为实验模型,应用 HE 及 Sirius red 染色对肝纤维化进行病理分级,应用 Western blot 和(或)逆转录-聚合酶链反应(RT-PCR)检测在 CCl_4诱导2周和6周的肝纤维化大鼠与正常大鼠肝组织中 CTGF、Ⅰ及Ⅲ型胶原基因表达水平变化。结果 CCl_4皮下注射2周大鼠肝组织主要呈Ⅰ级纤维化病理改变,注射6周呈Ⅲ级纤维化病理改变;在Ⅰ级纤维化和Ⅲ级纤维化肝组织中,CTGF mRNA 和蛋白及Ⅰ、Ⅲ型胶原 mRNA 表达水平分别较正常对照上调0.64±0.078、2.66±0.269、1.83±0.096、2.85±0.096和2.81±0.055、6.41±0.224、3.25±0.13、2.69±0.082倍。结论 CTCF 基因表达水平变化与肝纤维化程度及Ⅰ型胶原基因表达水平变化呈显著正相关,与Ⅲ型胶原基因表达水平变化不相关,提示 CTGF 表达增高在肝纤维化发生发展中可能起重要作用,推测对CTGF 基因表达进行干预可能是防治肝纤维化的一个新策略。展开更多
文摘This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.