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Insight into human pubertal growth by applying the QEPS growth model

机译:通过应用QEPS增长模型洞悉人类青春期的增长

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Background Computerized mathematical models describing absolute and relative individual growth during puberty in both cm and standard deviation (SD)-scores are lacking. The present study aimed to fill this gap, by applying the QEPS-model that delineates mathematically the specific pubertal functions of the total growth curve. Methods Study population used was the individual growth curves of the longitudinally followed cohort GrowUp1974 Gothenburg ( n =?2280). The QEPS-model describes total height as (T)otal- function : a combination of four shape-invariant growth functions, modified by time-scale and height-scale parameters: a ( Q)uadratic- function for the continuous growth from fetal life to adulthood; a negative (E)xponential- function adds the rapid, declining fetal/infancy growth; a (P)ubertal- function the specific pubertal growth spurt; a (S)top- function the declining growth until adult height. A constructed variable, MathSelect , was developed for assessing data-quality. CIs and SD-scores for growth estimates were calculated for each individual. QEPS-model estimates used for pubertal growth; from the T- function: onset of puberty as minimal height velocity ( AgeT ONSET ); mid-puberty as peak height velocity ( AgeT PHV ); end of puberty as height velocity decreased to 1?cm/year ( AgeT END ); duration of different intervals and gain ( AgeT ONSET–END and Tpubgain ); from the P- function: onset of puberty, estimated as growth at 1% or 5% ( AgeP1 , AgeP5) ; mid-puberty as 50% ( AgeP50 ) and PHV ( AgeP PHV ); end of pubertal growth at 95 or 99% ( AgeP95, AgeP99) ; duration of different intervals and pubertal gain ( Ppubgain; P max ); from the QES- function: gain ( QESpubgain) . Results Application of these mathematical estimates for onset, middle and end of puberty of P- function , QES- function, and T- function during puberty showed: the later the onset of puberty, the greater the adult height; pubertal gain due to the P -function growth was independent of age at onset of puberty; boys had higher total gain during puberty due to P- function growth than to QES -function growth; for girls it was reversed. Conclusions QEPS is the first growth model to provide individualized estimates of both the specific pubertal growth function and the total growth during puberty, with accompanying SD-scores and Cis for each individual. These QEPS-derived estimates enable more in-depth analysis of different aspects of pubertal growth than previously possible.
机译:背景技术缺乏描述在青春期期间以cm和标准差(SD)为单位的绝对和相对个体生长的计算机数学模型。本研究旨在通过应用QEPS模型来填补这一空白,该模型以数学方式描绘了总生长曲线的特定青春期功能。方法使用的研究人群是纵向追踪的队列GrowUp1974哥德堡(n =?2280)的个体生长曲线。 QEPS模型将总身高描述为(T)otal函数:四种形状不变的生长函数的组合,并通过时间尺度和高度尺度参数进行了修改:(Q)uadratic函数,用于从胎儿生命中持续生长成年负(E)x指数函数增加了胎儿/婴儿期的快速,下降的增长; (P)自由功能特定的青春期生长突增; (S)至上的功能是生长下降直至成年身高。开发了一个构造变量MathSelect来评估数据质量。为每个人计算增长估计的CI和SD得分。用于青春期生长的QEPS模型估计;从T-函数开始:青春期开始时为最小身高速度(AgeT ONSET );青春期中期为峰高速度(AgeT PHV );身高降低到1?cm /年(AgeT END )时,青春期结束;不同间隔和增益的持续时间(AgeT ONSET–END 和Tpubgain);根据P函数:青春期开始,估计增长1%或5%(AgeP1 AgeP5);青春期中期为50%(AgeP50)和PHV(AgeP PHV );青春期末增长为95或99%(AgeP95,AgeP99);不同间隔和青春期增益的持续时间(Ppubgain; P max );从QES-函数:gain(QESpubgain)结果将这些数学估计值用于青春期P功能,QES功能和T功能的青春期发作,中期和末期显示:青春期发作越晚,成年人身高越大; P功能增长导致的青春期增长与青春期开始时的年龄无关;男孩的青春期期间,由于P功能增长而获得的总收益高于QES功能增长;对于女孩来说则相反。结论QEPS是第一个提供具体的青春期生长功能和青春期总生长量的个体化估计的增长模型,并附有每个人的SD得分和Cis。这些QEPS得出的估计值比以前可能的更多,从而可以更深入地分析青春期生长的不同方面。

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