JSM Preliminary Online Program
This is the preliminary program for the 2009 Joint Statistical Meetings in Washington, DC.

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Activity Number: 400
Type: Invited
Date/Time: Wednesday, August 5, 2009 : 8:30 AM to 10:20 AM
Sponsor: ENAR
Abstract - #302746
Title: Statistical Challenges in Modeling Immune Response to Infectious Disease Agents Using Differential Equation Models
Author(s): Hulin Wu*+
Companies: University of Rochester
Address: 601 Elmwood Ave., Box 630, Rochester, NY, 14642,
Keywords: Differential equations ; Influenza ; HIV/AIDS ; Immunology
Abstract:

Recently differential equation models are widely used to describe the biological processes. However, parameter estimation methods are not well developed for differential equation models. This definitely limits the applications of the dynamic models in the real world. We believe that it is critical and important to accurately and robustly identify the dynamic models and parameters based on experimental data. In this talk, I will present several novel statistical approaches to estimate constant and time-varying parameters in ordinary differential equation models. These methods include the nonlinear least squares method, two-stage approaches, and penalized smoothing approach. Some theoretical results will also be discussed. The applications of these methods to HIV viral dynamics and immune response to influenza infection will be used to illustrate the usefulness of these new methods.


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Revised September, 2008