A new family of mathematical models describing the human growth curve.
A new family of mathematical models describing the human growth curve.
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描述人类生长曲线的一系列新数学模型。
作者：
M. Preece;M. Baines
描述了一个新的数学函数族来拟合纵向生长数据。所有成员都是从微分方程dh/dt = s（t）推导出来的。其中h1是成年人的大小，s（t）是时间的函数。s（t）的形式由许多函数之一给出，所有的解都是微分方程的解，因此产生了一族不同的模型。比较了三个版本。所有这些都上级以前描述的模型。模型1，其中s（t）定义为ds/dt =（s1 - s）（s-s 0），是特别准确和强大的，只包含五个参数来描述身高从2岁到成熟的增长。衍生的“生物”参数，如峰高速度是非常一致的这三个成员的家庭，但在某些情况下，显着不同，从以前的估计。
A new family of mathematical functions to fit longitudinal growth data is described. All members derive from the differential equation dh/dt = s(t). (h1-h) where h1 is adult size and s(t) is a function of time. The form of s(t) is given by one of many functions, all solutions of differential equations, thus generating a family of different models. Three versions were compared. All were superior to previously described models. Model 1, in which s(t) was defined by ds/dt = (s1 - s)(s - s0) was especially accurate and robust, containing only five parameters to describe growth in stature from age two to maturity. Derived "biological" parameters such as Peak Height Velocity were very consistent between these three members of the family but, in some cases, differed signficantly from previous estimates.