A modified Michaelis-Menten equation estimates growth from birth to 3 years in healthy babies in the USA.

A modified Michaelis-Menten equation estimates growth from birth to 3 years in healthy babies in the USA.
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DOI:
10.1186/s12874-024-02145-1
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发表时间:
2024-02-01
影响因子:
4
通讯作者:
--
中科院分区:
医学3区
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--
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标准儿童生长曲线不能用于估算个别儿童缺失的身高或体重测量值。用于表征底物-酶饱和曲线的Michaelis-Menten方程已被证明可以模拟包括非人类脊椎动物在内的许多生物体的生长。我们研究了这个方程是否可以用来插值缺失的生长数据的儿童在生命的前三年,并比较了这种插值几种常见的插值方法和儿科生长模型。我们开发了一个改良的Michaelis-Menten方程,并将预期增长与实际增长进行比较,首先在当地出生队列(N = 97)中,然后在大型门诊儿科样本(N = 14,695)中进行比较。改良的Michaelis-Menten方程对婴儿体重(中位数RMSE:男孩:0.22 kg [IQR:0.19; 90% < 0.43];女孩:0.20 kg [IQR:0.17; 90% < 0.39])和身高(中位数RMSE:男孩:0.93 cm [IQR:0.53; 90% < 1.0];女孩:0.91 cm [IQR:0.50;90% < 1.0])均显示出极好的拟合。生长数据准确建模,第1年常规健康婴儿访视的4个值和第1-3年的7个值;出生体重或身长是最佳拟合的关键。与性能最佳的替代模型相比,使用该方程插值的平均RMSE相当(对于体重)或更低(对于身高)。修正的Michaelis-Menten方程准确地描述了0-36个月健康婴儿的生长,允许在个体纵向测量系列中插入缺失的体重和身高值。在资源丰富的环境中,健康婴儿的生长模式反映了酶饱和曲线。在线版本包含补充材料,可通过10.1186/s12874-024-02145-1获得。
Standard pediatric growth curves cannot be used to impute missing height or weight measurements in individual children. The Michaelis–Menten equation, used for characterizing substrate-enzyme saturation curves, has been shown to model growth in many organisms including nonhuman vertebrates. We investigated whether this equation could be used to interpolate missing growth data in children in the first three years of life and compared this interpolation to several common interpolation methods and pediatric growth models. We developed a modified Michaelis–Menten equation and compared expected to actual growth, first in a local birth cohort (N = 97) then in a large, outpatient, pediatric sample (N = 14,695). The modified Michaelis–Menten equation showed excellent fit for both infant weight (median RMSE: boys: 0.22 kg [IQR:0.19; 90% < 0.43]; girls: 0.20 kg [IQR:0.17; 90% < 0.39]) and height (median RMSE: boys: 0.93 cm [IQR:0.53; 90% < 1.0]; girls: 0.91 cm [IQR:0.50;90% < 1.0]). Growth data were modeled accurately with as few as four values from routine well-baby visits in year 1 and seven values in years 1–3; birth weight or length was essential for best fit. Interpolation with this equation had comparable (for weight) or lower (for height) mean RMSE compared to the best performing alternative models. A modified Michaelis–Menten equation accurately describes growth in healthy babies aged 0–36 months, allowing interpolation of missing weight and height values in individual longitudinal measurement series. The growth pattern in healthy babies in resource-rich environments mirrors an enzymatic saturation curve. The online version contains supplementary material available at 10.1186/s12874-024-02145-1.
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