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A Mathematical Model of Zinc Absorption in Humans As a Function of Dietary Zinc and Phytate

机译:人体中锌吸收与膳食锌和植酸盐的关系的数学模型

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摘要

The quantities of zinc and phytate in the diet are the primary factors determining zinc absorption. A mathematical model of zinc absorption as a function of dietary zinc and phytate can be used to predict dietary zinc requirements and, potentially, enhance our understanding of zinc absorption. Our goal was to develop a model of practical and informative value based on fundamental knowledge of the zinc absorption process and then fit the model to selected published data to assess its validity and estimate parameter values. A model of moderate mathematical complexity relating total zinc absorption to total dietary zinc and total dietary phytate was derived and fit to 21 mean data from whole day absorption studies using nonlinear regression analysis. Model validity, goodness of fit, satisfaction of regression assumptions, and quality of the parameter estimates were evaluated using standard statistical criteria. The fit had an R2 of 0.82. The residuals were found to exhibit a normal distribution, constant variance, and independence. The parameters of the model, AMAX, KR, and KP, were estimated to have values of 0.13, 0.10, and 1.2 mmol/d, respectively. Several of these estimates had wide CI attributable in part to the small number and the scatter of the data. The model was judged to be valid and of immediate value for studying and predicting absorption. A version of the model incorporating a passive absorption mechanism was not supported by the available data.
机译:日粮中锌和植酸的含量是决定锌吸收的主要因素。锌吸收与膳食锌和植酸盐的函数关系的数学模型可用于预测膳食锌的需求量,并有可能增进我们对锌吸收的了解。我们的目标是基于对锌吸收过程的基础知识,开发具有实用价值和信息价值的模型,然后将该模型与选定的公开数据进行拟合,以评估其有效性并估计参数值。得出了一个具有中等数学复杂性的模型,该模型将总锌吸收与总膳食锌和总植酸总摄入量联系起来,并使用非线性回归分析拟合了全天吸收研究的21个均值数据。使用标准统计标准评估模型的有效性,拟合优度,回归假设的满意度以及参数估计的质量。拟合的R 2 为0.82。发现残差表现出正态分布,恒定方差和独立性。该模型的参数AMAX,KR和KP的值分别估计为0.13、0.10和1.2 mmol / d。其中一些估计值具有较高的置信区间,部分归因于数据的数量少和分散。该模型被认为是有效的,对研究和预测吸收具有直接价值。现有数据不支持包含被动吸收机制的模型版本。

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