摘要
从常微分方程理论角度出发,结合药物动力学的相关知识,根据房室模型的相关假设,建立了单次和多次饮酒后血液中酒精的浓度随时间变化的基础模型.进一步采用剩余法确定出模型中参数,利用Matlab软件较准确地模拟出体内酒精浓度变化趋势的曲线.同时,对一些实际问题也给出了合理的解释.
Based on the theory of pharmacodynamics and the knowledge of ordinary differential equations, the authors establish the blood alcohol concentration model after drinking once and several times according to the assumptions of the compartment model. And then the authors use ＂Residual Method＂ to determine the model parameters, further accurately simulating the curve of the alcohol concentration with Matlab software. At the same time, some of real problems are given a reasonable explanation.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第17期79-88,共10页
Mathematics in Practice and Theory
关键词
常微分方程
药物动力学
房室模型
血液中的酒精浓度
剩余法
Matlab
软件
ordinary differential equation
pharmacodynamics
compartment model
bloodalcohol concentration
residual method
Matlab software
