Ahmadi Hamed
Bioscience and Agriculture Modeling Research Unit, Department of Poultry Science, Tarbiat Modares University, Tehran, Iran.
PLoS One. 2017 Nov 21;12(11):e0187292. doi: 10.1371/journal.pone.0187292. eCollection 2017.
Several mathematical equations have been proposed to modeling nutrient-response curve for animal and human justified on the goodness of fit and/or on the biological mechanism. In this paper, a functional form of a generalized quantitative model based on Rayleigh distribution principle for description of nutrient-response phenomena is derived. The three parameters governing the curve a) has biological interpretation, b) may be used to calculate reliable estimates of nutrient response relationships, and c) provide the basis for deriving relationships between nutrient and physiological responses. The new function was successfully applied to fit the nutritional data obtained from 6 experiments including a wide range of nutrients and responses. An evaluation and comparison were also done based simulated data sets to check the suitability of new model and four-parameter logistic model for describing nutrient responses. This study indicates the usefulness and wide applicability of the new introduced, simple and flexible model when applied as a quantitative approach to characterizing nutrient-response curve. This new mathematical way to describe nutritional-response data, with some useful biological interpretations, has potential to be used as an alternative approach in modeling nutritional responses curve to estimate nutrient efficiency and requirements.
已经提出了几个数学方程来对动物和人类的营养反应曲线进行建模，这些方程是基于拟合优度和/或生物学机制而合理建立的。本文推导了一种基于瑞利分布原理的广义定量模型的函数形式，用于描述营养反应现象。控制该曲线的三个参数：a）具有生物学解释；b）可用于计算营养反应关系的可靠估计值；c）为推导营养与生理反应之间的关系提供了基础。新函数成功应用于拟合从6个实验中获得的营养数据，这些实验涵盖了广泛的营养素和反应。还基于模拟数据集进行了评估和比较，以检验新模型和四参数逻辑模型对描述营养反应的适用性。本研究表明，新引入的简单灵活模型作为一种定量方法来表征营养反应曲线时具有实用性和广泛适用性。这种描述营养反应数据的新数学方法具有一些有用的生物学解释，有可能用作建模营养反应曲线以估计营养效率和需求的替代方法。
