On identifiability of nonlinear ODE models and applications in viral dynamics

Loading...
Thumbnail Image

Authors

Miao, Hongyu
Xia, Xiaohua
Perelson, Alan S.
Wu, Hulin

Journal Title

Journal ISSN

Volume Title

Publisher

Society for Industrial and Applied Mathematics

Abstract

Ordinary differential equations (ODEs) are a powerful tool for modeling dynamic processes with wide applications in a variety of scientific fields. Over the last two decades, ODEs have also emerged as a prevailing tool in various biomedical research fields, especially in infectious disease modeling. In practice, it is important and necessary to determine unknown parameters in ODE models based on experimental data. Identifiability analysis is the first step in determining unknown parameters in ODE models and such analysis techniques for nonlinear ODE models are still under development. In this article, we review identifiability analysis methodologies for nonlinear ODE models developed in the past couple of decades, including structural identifiability analysis, practical identifiability analysis, and sensitivity-based identifiability analysis. Some advanced topics and ongoing research are also briefly reviewed. Finally, some examples from modeling viral dynamics of HIV and influenza viruses are given to illustrate how to apply these identifiability analysis methods in practice.

Description

Keywords

ODE modeling, Viral dynamics

Sustainable Development Goals

Citation

Miao, H, Xia, X, Perelson, AS & Wu, H 2011, 'On identifiability of nonlinear ODE models and applications in viral dynamics', Siam Review, vol. 53, no. 1, pp. 3-39.