Mathematical modeling in nutrition: constructing a physiologic compartmental model of the dynamics of beta-carotene metabolism.
Mathematical modeling in nutrition: constructing a physiologic compartmental model of the dynamics of beta-carotene metabolism.
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营养学数学模型：构建β-胡萝卜素代谢动力学的生理室模型。
DOI：
10.1016/s1043-4526(08)60019-4
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Clifford,AJ
中科院分区：
文献类型：
--
作者：
Novotny,JA;Zech,LA;Furr,HC;Dueker,SR;Clifford,AJ
为了了解当前和推荐的饮食习惯对健康的影响，即增加某些食物和/或营养素（例如水果和蔬菜以及抗氧化维生素）的摄入量，并减少其他食物（例如卡路里和饱和脂肪）的摄入量，需要对这些做法所产生的健康状况变化进行调查。追踪研究通常用于表征个人的健康状况，因为他们的反应模式是一致的，并且此类研究可以以标准化的方式进行解释。示踪动力学通常使用微分方程进行建模，微分方程映射到个体（系统）代谢领域中的代谢空间以及它们之间的交换（分析物流）。这些空间的特征以及它们之间发生的（营养物/分析物）交换提供了有关个体生理状态的许多有用信息。现在已经有了能够高效、准确地求解（和操纵）微分方程的计算机硬件和建模软件。因此，数学模型已成为收集和处理研究数据和信息所需的有吸引力的工具，以发现促进健康和预防和/或减少疾病的最佳营养组合。虽然许多研究人员专注于分子生物学和遗传学工具来确定动物模型中营养作用的生化机制，但也有一些研究人员专注于动力学数据的数学建模，以实现对体内营养代谢动力学的定量理解（最近的研讨会，请参阅 Abumrad，1991；Coburn，1992）。最近的三项发展激发了人们对数学建模的兴趣。首先，有机会将营养代谢动态的定量特征与营养作用机制和健康状况的知识相结合。其次，一些动物模型似乎并不能模拟人类的营养代谢和健康状况。第三，稳定同位素示踪剂和测量人体组织中微量同位素示踪剂的可靠方法变得更加容易获得。稳定同位素是有利的，因为研究对象不会受到辐射照射，并且避免了放射性核素的处理问题。数学模型和稳定同位素等工具的结合使用是了解营养代谢动态并根据生理状态和年龄调整营养需求的有效方法。
To understand the health implication of current and recommended dietary practices, ie, increased intakes of some foods and/or nutrients such as fruits and vegetables and antioxidant vitamins and reduced intakes of others such as calories and saturated fats, an investigation of variations in health status produced by these practices is required. Tracer studies are often used to characterize the health status of individuals because their response patterns are consistent and such studies can be interpreted in a standardized way. Tracer kinetics are usually modeled with differential equations that are mapped to metabolic spaces and the exchanges (analyte flows) between them in the domain of an individual's (a system's) metabolism. The characteristics of these spaces and the exchanges (of nutrients/analytes) that take place between them provide much useful information about an individual's physiologic status. Computer hardware and modeling software capable of solving (and manipulating) differential equations efficiently and accurately are now available. Therefore, mathematical modeling has become an attractive tool for collecting and processing the research data and information needed to discover those optimal combinations of nutrients that promote health and prevent and/or minimize disease. While many researchers have focused on the tools of molecular biology and genetics to determine biochemical mechanisms of nutrient action in animal models, a few have focused on mathematical modeling of kinetic data to achieve a quantitative understanding of the dynamics of nutrient metabolism in vivo (for recent symposia, see Abumrad, 1991; Coburn, 1992). Three recent developments stimulated interest in mathematical modeling. First, there is an opportunity to integrate quantitative characteristics of the dynamics of nutrient metabolism with knowledge of nutrient action mechanisms and health status. Second, it appears that some animal models do not mimic nutrient metabolism and health status of humans. Third, stable isotope tracers and reliable methods to measure minute amounts of them in human tissues have become more readily available. Stable isotopes are advantageous both because there is no radiation exposure to study subjects and the problems of disposing of radionuclides are avoided. The combined use of such tools as mathematical models and stable isotopes is a powerful approach for understanding the dynamics of nutrient metabolism and for tailoring their requirements to physiologic state and age.