建立数学模型,揭示医药学中各变量之间的数量关系,用数学思想方法解决问题,已成为现代医学发展的潮流.微分方程是建立数学模型的一个重要工具.函数是描述变量间相互联系的一种数学模型,用于表达变量间相互依赖关系的基本数学形式.研究函数的性态可以更好了解其变化规律,帮助指导解决一些医药学问题.本文列表比较一室模型中三种给药方式的微分方程,并用极限、导数、定积分等微积分数学工具对相应函数的性态进行分析探讨,梳理三种给药方式血药浓度变化规律.%To establish mathematical model which reveals the quantitative relation between the variables in the medicine and to solve some problems by mathematic thinking have formed the trend of the development of modern medicine. Differential equation is an important tool for the establishment of a mathematical model while its function is a mathematical model describing the interrelation between the variables. The research on function condition may help understand the change rule, which guides to solve some problems in medicine. This paper compares the differ-ential equations of three drug delivery methods in one room model, explores the properties of the corresponding func-tions by means of the limit, derivative, definite integral, etc. and analyzes the change law of blood concentration of the three drug delivery methods.
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