Sager G
Gegenbaurs Morphol Jahrb. 1987;133(2):203-15.
Tables for human height at age values by Kunze and Murken are submitted to mathematical approximations applying the 2-step-model introduced by Sager (1981). The basic term reflects growth as expected when a growth spurt is lacking which may be the case for children with chromosomal aberrations. The 2nd term comprises an expression for the growth spurt proper thus allowing an evaluation for the intensity of the spurt. The approximations as gained with nonlinear regressions show very close agreement with the measurements. Besides the growth curve its first derivative--the growth velocity or increase--is calculated and represented graphically. Moreover the results and their relative amounts against the final values at adulthood are compared for nine height at age tables treated hitherto with the same growth model.
Kunze和Murken编制的按年龄划分的人类身高表,采用了Sager(1981年)提出的两步模型进行数学近似处理。基本项反映了在缺乏生长突增时预期的生长情况,染色体异常的儿童可能就是这种情况。第二项包含了生长突增本身的表达式,从而可以对突增强度进行评估。通过非线性回归得到的近似值与测量值非常吻合。除了生长曲线外,还计算了其一阶导数——生长速度或生长增量,并以图形表示。此外,还比较了迄今用相同生长模型处理的九个按年龄划分的身高表的结果及其相对于成年期最终值的相对量。