摘要
本文从生物学角度出发,根据微分方程理论.结合给定的数据,经过合理的假设,建立了血液中酒精的浓度随时间变化的基础模型。并针对不同的饮酒方式和饮酒量,分别建立了相应的模型。用拟合的方法确定参数,准确地模拟出酒精浓度变化趋势的曲线,拟合结果与原始数据吻合程度较高。同时,对一些实际问题也给出了合理的解释。
According to the theory of differential equation, A basic mathematical model about the relation of alcohol in body and time is presented; Some models about practical problems are also given by using the basic model. What we find is fit for the given data perfectly, and some practical problems are answered finally.
出处
《工程数学学报》
CSCD
北大核心
2004年第B12期155-158,154,共5页
Chinese Journal of Engineering Mathematics
关键词
数学模型
微分方程
拟合
叠加
mathematical model
differential equation
fitting
superposition