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本文把三个流变学方程——Casson、Bingham和Hershel-Balkey方程对于血液的流动曲线进行了拟合。对Casson和Bingham方程分别用最小二乘法回归拟合,对Hershel-Balkey方程用自编的曲线回归程序在LASER电脑运行。对以上拟合的结果,对三个方程作了比较,认为Casson方程最优,理由是通过71例的回归相关系数最接近于1,标准估计误差最小,其方程的参数Casson粘度和屈服应力具有区别正常组和疾病组间,与临床的符合率最高,且回归方法简便。
In this paper, three rheological equations, the Casson, Bingham and Hershel-Balkey equations, were fitted to the blood flow curves. The Casson and Bingham equations were fitted by least-squares regression and the Hershel-Balkey equation was run on a LASER computer using a self-designed curve regression program. The results of the above fitting, the three equations were compared, that the Casson equation is optimal, the reason is that the regression coefficient of 71 cases through the nearest 1, the standard error of the smallest estimates, the equation parameters Casson viscosity and yield stress with The difference between normal group and disease group, with the highest coincidence rate with clinical, and the regression method is simple.