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一种用于根据身高和第二性征估计青春期生长时间和强度的混合效应模型。

A mixed effects model to estimate timing and intensity of pubertal growth from height and secondary sexual characteristics.

作者信息

Cole T J, Pan H, Butler G E

机构信息

MRC Centre of Epidemiology for Child Health, UCL Institute of Child Health , London , UK and.

出版信息

Ann Hum Biol. 2014 Jan-Feb;41(1):76-83. doi: 10.3109/03014460.2013.856472.

Abstract

AIM

To estimate and compare pubertal growth timing and intensity in height, Tanner stage markers and testis volume.

SUBJECTS AND METHODS

Data on height, genital stage, breast stage and pubic hair stage, testis volume and menarche in 103 boys and 74 girls from the Edinburgh Longitudinal Growth Study were analysed. The SITAR model for height and a novel mixed effects logistic model for Tanner stage and testis volume provided estimates of peak velocity (PV, intensity) and age at peak velocity (APV, timing), both overall (from fixed effects) and for individuals (random effects).

RESULTS

Based on the six markers, mean APV was 13.0-14.0 years in boys and 12.0-13.1 years in girls, with between-subject standard deviations of ~1 year. PV for height was 8-9 cm/year by sex and for testis volume 6 ml/year, while Tanner stage increased by 1.2-1.8 stages per year at its peak. The correlations across markers for APV were 0.6-0.8 for boys and 0.8-0.92 for girls, very significantly higher for girls (p = 0.005). Correlations for PV were lower, -0.2-0.6.

CONCLUSIONS

The mixed effects models perform well in estimating timing and intensity in individuals across several puberty markers. Age at peak velocity correlates highly across markers, but peak velocity less so.

摘要

目的

评估并比较青春期生长的时间及身高、坦纳分期指标和睾丸体积的生长强度。

对象与方法

对爱丁堡纵向生长研究中103名男孩和74名女孩的身高、生殖器分期、乳房分期、阴毛分期、睾丸体积和月经初潮数据进行分析。身高的SITAR模型以及用于坦纳分期和睾丸体积的新型混合效应逻辑模型提供了峰值速度(PV,强度)和峰值速度年龄(APV,时间)的总体估计值(来自固定效应)和个体估计值(随机效应)。

结果

基于这六个指标,男孩的平均APV为13.0 - 14.0岁,女孩为12.0 - 13.1岁,个体间标准差约为1岁。身高的PV按性别为每年8 - 9厘米,睾丸体积为每年6毫升,而坦纳分期在峰值时每年增加1.2 - 1.8期。男孩APV各指标间的相关性为0.6 - 0.8,女孩为0.8 - 0.92,女孩的相关性显著更高(p = 0.005)。PV的相关性较低,为 - 0.2 - 0.6。

结论

混合效应模型在估计多个青春期指标个体的时间和强度方面表现良好。峰值速度年龄在各指标间高度相关,但峰值速度的相关性较低。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72b0/3877946/a91e37585df7/AHB-41-076-g001.jpg

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