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基于随机微分方程的群体药物代谢动力学参数的极大似然估计

Maximum Likelihood Estimates for Population Pharmacokinetic Data Based on the Stochastic Differential Equations

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【摘要】 目的:阐述基于随机微分方程的混合模型在群体药物代谢动力学中参数估计的应用。方法:在随机微分方程的框架下,写出精确的似然函数,通过极大似然估计求解参数值。结果:利用计算机随机模拟证明方法的可行性,并对模拟的结果进行统计分析,得到各参数的点估计值和置信域,符合模拟的预设值。结论:在群体药物代谢动力学研究中,对基于随机微分方程的混合效应模型采用极大似然估计可以得到较好的估计值。

【Abstract】 Objective:The purpose of this article is to illustrate the application of mixed-effects models based on the stochastic differential equations for parameter estimation in population pharmacokinetic modeling.Methods:The explicit likelihood function can be generated based on the SDE,and the estimators of the corresponding parameters can be obtained through maximum likelihood method.Results:The Computer random simulation is conducted to discuss the performances of the proposed method,and the simulation results are statistically analyzed.The point estimates and confidence regions obtained from the simulation shall accord with the pre-specified values.Conclusion:In population pharmacokinetic modeling,mixed-effects models based on stochastic differential equations can be well estimated through maximum likelihood method.

【基金】 中央高校专项业务经费JKQ2011032;国家自然科学基金重点项目
  • 【文献出处】 数理医药学杂志 ,Journal of Mathematical Medicine , 编辑部邮箱 ,2013年03期
  • 【分类号】R96
  • 【被引频次】8
  • 【下载频次】252
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