In the paper, the optimal self-scaling strategy to the modified symmetric rank one (HSR1) update, which satisfies the modified quasi-Newton equation, is derived to improve the condition number of the updates. The scaling factors are derived from minimizing the estimate of upper bounds on the condition number of the updating matrix. Theoretical analysis, and numerical experiments and comparisons show that introducing the optimal scaling factor into the modified symmetric rank one update preserves the positive definiteness of updates, and greatly improves the stability and numerical performance of the modified symmetric rank one algorithm.

AIM: To investigate the effect of Shenmai Injection on the expression of bFGF and PCNA of gastric cancer in mouse. METHODS: RT-PCR was used to measure the expression of bFGF and PCNA in gastric cancer cell cultured with Shenmai Injection in three concentrations.immunohistochemistry used for protein synthesis in mouse gastric cancer model. RESULTS: 140 ?L/mL of Shenmai Injection concentration inhibited 63% of bFGF and PCNA gene expression. CONCLUSION: Shenmai Injection can inhibit the express of bFGF and PCNA.

Objective: To investigate the effect of Shenmai Injection (Radix Ginseng Rubra, Radix Ophiopogonis) on angiogenesis and the expression of proliferating cell nuclear antigen (PCNA) in tumor tissue, and the mechanism of it in the treatment of tumor. Methods: The mouse tumor model was used to investigate the effect of Shenmai Injection on tumor growth on the whole. The expression of von Willebrand factor (vWF) and PCNA in tumor tissue was studied by means of immunohistochemistry. Results: Shenmai inhibited the tumor growth and reduced microvessel density and the expression of PCNA in tumor tissue. Conclusion:Antiangiogenesis is one of the mechanisms of Shenmai Injection in treatment of tumor.