Mickle M H
Department of Electrical Engineering, University of Pittsburgh, PA 15261, USA.
Environ Health Perspect. 1998 Dec;106 Suppl 6(Suppl 6):1531-4. doi: 10.1289/ehp.98106s61531.
The potential impact of the effects of lead in children is a major concern. Although measurements of lead concentration can be made in a geographic area, it is difficult to predict the effects of this exposure that involve complicated biologic functions. Dynamic mathematical models that can be simulated on a digital computer provide one method of analysis to facilitate the prediction process. The integrated exposure uptake biokinetic (IEUBK) model is a dynamic mathematical model that has been discretized for execution on a digital computer. This paper is concerned with the general difficulties in validating a dynamic model of this type. A number of the general pitfalls of validating a model of this type are presented. The illustrations are of a general nature not requiring an understanding of the physiologic effects of lead on children. The concept of validating a model by comparing results to historical data is discussed. A comparison is made with traditional modeling efforts having this form of dynamic model. Also included are general mathematic concepts illustrating potential difficulties with intuitive analyses in calibrating a dynamic model.
铅对儿童的影响所产生的潜在冲击是一个主要关注点。尽管可以在某一地理区域测量铅浓度,但很难预测这种涉及复杂生物学功能的暴露所产生的影响。能够在数字计算机上进行模拟的动态数学模型提供了一种分析方法,以促进预测过程。综合暴露吸收生物动力学(IEUBK)模型是一种已被离散化以便在数字计算机上执行的动态数学模型。本文关注验证此类动态模型时的一般困难。文中呈现了验证此类模型时的一些常见陷阱。这些示例具有一般性,并不要求理解铅对儿童的生理影响。文中讨论了通过将结果与历史数据进行比较来验证模型的概念。还将其与具有这种动态模型形式的传统建模工作进行了比较。此外,还包括一些通用的数学概念,这些概念说明了在校准动态模型时直观分析可能存在的困难。