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Parameters Estimations of Ordinary Differential Equations
澳门新葡8455最新网站:2013年10月29日 00:00 点击数:

报告人:刘柏森

报告地点:澳门新葡8455最新网站403室

报告澳门新葡8455最新网站:2013年10月30日星期三15:30-16:30

邀请人:

报告摘要:

It is well known that ordinary differential equations (ODEs) are widely used to model complex dynamic systems in many areas of science and technology. For example, ODE models have been used in the study of HIV viral dynamics and reconstruction of transcription factor activity for gene regulation. Although ODE models can often be proposed based on expert knowledge of the dynamic process of interest, the values of the ODE parameters are rarely known. Estimating these parameters from observational (noisy) data is an important but challenging statistical problem, because most ODEs have no analytic solutions, and solving ODEs numerically is computationally intensive. In this talk, we first review some popular estimating procedures for ODEs. Then, we propose a semi-parametric mixed-effects ODEs model. A semi-parametric efficient approach is provided for estimating parameters of ODEs. The efficiency of proposed approach is illustrated by analyzing a PK/PD model and a HIV model.

主讲人概况:

刘柏森,加拿大西安大略大学统计与精算系博士后. 主要研究领域是:函数型数据分析、常微分方程统计推断。

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