Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models
讲座名称：
Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models
讲座时间：
2011-07-09
讲座人：
Hulin Wu, Ph.D
形式：
校区：
兴庆校区
实践学分：
讲座内容：
题目：Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models
时间：7月9日（本周六）10:00-11:00
地点：理科楼407
Differential equations are widely used to describe dynamic systems in many scientific fields. In bioinformatics and systems biology research, differential equation models can be constructed to represent the dynamic biological processes. However, both model structures and model parameters need to be determined based on experimental data. It is very challenging to solve the inverse problems of differential equation models by rigorously using experimental data. In particular, most statistical inverse problems often boil down into a complex optimization problem. In this talk, I will discuss the model construction procedure in biomedical research, which includes model parameter identifiability, model structure identification, parameter estimation, model validation and evaluation based on experimental data. Experimental data from recent studies on immune response to influenza infection will be used to illustrate the modeling principles.
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