Two new A-ring contracted triterpenoids, madengaisu A and madengaisu B, and one undescribed ent-kaurane diterpenoid, madengaisu C, along with 20 known compounds were isolated from the roots of Potentilla freyniana Bornm. The structures were elucidated using extensive spectroscopic techniques, including 1D and 2D-NMR, HR-ESI-MS, ECD spectra, IR, and UV analysis. Moreover, all isolated constituents were evaluated for their anti-proliferative activity against RA-FLS cells and cytotoxic activities against the human cancer cell lines Hep-G2, HCT-116, BGC-823, and MCF-7. Ursolic acid and pomolic acid displayed moderate inhibitory activity in RA-FLS cells with IC50 values of 24.63 ± 1.96 and 25.12 ± 1.97 μM, respectively. Hyptadienic acid and 2α,3β-dihydroxyolean-12-en-28-oic acid 28-O-β-d-glucopyranoside exhibited good cytotoxicity against Hep-G2 cells with IC50 values of 25.16 ± 2.55 and 17.66 ± 1.82 μM, respectively. In addition, 2α,3β-dihydroxyolean-13(18)-en-28-oic acid and alphitolic acid were observed to inhibit HCT-116 cells (13.25 ± 1.65 and 21.62 ± 0.33 μM, respectively), while madengaisu B and 2α,3β-dihydroxyolean-13(18)-en-28-oic acid showed cytotoxic activities against BGC-823 cells with IC50 values of 24.76 ± 0.94 and 26.83 ± 2.52 μM, respectively, which demonstrated that triterpenes from P. freyniana may serve as therapeutic agents for RA and cancer treatment.

We consider a two-echelon supply chain consisting of one supplier and one capitalconstrained retailer. The supplier can offer the retailer trade credit to fund his orders. To boost sales, the retailer invests part or all of initial capital exclusively in advertising at the beginning of the sales season. Demand is sensitive to both retail price and advertising expenses of the retailer. With a wholesale price contract, we analytically derive the Stackelberg equilibrium with respect to pricing by both parties and advertising by the retailer. Our results show that the retailer with less initial capital prefers to invest full initial capital in advertising irrespective of the advertising elasticity or the interest rate charged by the supplier. The retailer with more initial capital only invests part of initial capital in advertising. The retailer's advertising policy under different initial capital levels always benefits the supply chain and the supplier. We further identify the effects of the advertising elasticity and the interest rate on the pricing policies. Numerical simulations and sensitivity analysis are given to elaborate our theoretical results.Mathematics Subject Classification. 90B60.

In a two-echelon single-supplier and single-retailer supply chain with permissible delay in payment, we investigate the two-level trade credit policy in which the supplier offers the retailer with limited capital a credit period and in turn the retailer also provides a credit period to customers. The demand rate is sensitive to both retail price and the customers credit period. By using the backward induction method, we analytically derive the unique equilibrium of both credit periods in the Stackelberg game to determine the retailers pricing strategy. We find that the optimal retail price is not always decreasing in the credit period offered by the supplier to the retailer. In addition, we characterize the conditions under which the retailer is willing to voluntarily provide customers a credit period. Numerical examples and sensitivity analysis of key parameters are presented to illustrate the theoretical results and managerial insights.