改良单纯形法和DUD法非线性回归分析心肌酶代谢动力学模型

目的比较改良单纯形法和SAS软件DUD法非线性回归估计心肌酶代谢参数运算结果。方法取得22例急性心肌梗死病例系列的血清肌酸磷酸激酶活性值, 在初始条件相同的情况下,以一房室模型分别用SAS统计软件的DUD方法和改良单纯形法进行非线性回归(即查询“最小”剩余平方和),两种非线性回归方法均提供了限制估计参数取值范围的功能。结果两种算法取得相同剩余平方和结果者占18.1%(4/22),用DUD法查询到较小的剩余平方和者占18.1%(4/22),改良单纯形法查询到较小的剩余平方和者占63.7%(14/22);DUD方法和改良单纯形法拟合心肌酶曲线平均最小剩余平方和分别为6 712 989和867 747。改良单纯形法较DUD方法非线性回归的查询的平均剩余平方和显著减小(P=0.013)。结论改良单纯形法可能更适合用于估计急性心肌梗死患者一房室数学模型中心肌酶代谢动力学的循环参数。

Nonlinear regression analysis of cardiac enzyme kinetic model with modified simplex method and DUD method using SAS software

Objective To compare the efficacy of modified simplex method and DUD method using SAS software for nonli- near regression analysis of cardiac enzyme kinetic model. Method By using cardiac enzyme kinetic one-compartment mathematical model, nonlinear regression results obtained from DUD methods using SAS software and modified simplex method were compared with the same starting values to fit the creatin kinase curves in 22 patients with acute myocardial infarction. Results The parameters calculated by DUD method and modified simplex method were the same in 4 cases, and smaller least square was resulted from DUD method in 4 cases. In the other 14 cases, modified simplex method yielded smaller least square. The mean value of the least square calculated by modified simplex method was less than that by DUD method (867 747 vs6 712 989, P=0.013). Conclusion Modified simplex method appears to be more adequate than DUD method in estimating circulatory parameters of the one-compartment model