NEW FAMILY OF MATHEMATICAL-MODELS DESCRIBING HUMAN GROWTH CURVE
NEW FAMILY OF MATHEMATICAL-MODELS DESCRIBING HUMAN GROWTH CURVE
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DOI：
10.1080/03014467800002601
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发表时间：
1978-01-01
影响因子：
1.7
通讯作者：
BAINES, MJ
中科院分区：
文献类型：
--
作者：
PREECE, MA;BAINES, MJ
描述了适应纵向增长数据的一系列新的数学函数。所有成员均源自微分方程 dh/dt = s(t) .cntdot。 (h1 - h)，其中 h1 是成人尺寸，s(t) 是时间的函数。 s(t) 的形式由许多函数（微分方程的所有解）之一给出，从而生成一系列不同的模型。比较了三个版本，所有版本都优于之前描述的模型。模型 1（其中 s(t) 由 ds/dt = (s1 - s) (s - s0) 定义）特别准确且稳健，仅包含 5 个参数来描述从 2 岁到成熟的身高生长。得出的生物学参数（例如峰值高度速度）在该家族的这 3 名成员之间非常一致，但在某些情况下与之前的估计存在显着差异。
A new family of mathematical functions to fit longitudinal growth data was described. All members derive from the differential equation dh/dt = s(t) .cntdot. (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 and 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 5 parameters to describe growth in stature from age 2 yr to maturity. Derived biological parameters such as peak height velocity were very consistent between these 3 members of the family but, in some cases, differed significantly from previous estimates.