On identifiability of nonlinear ODE models and applications in viral dynamics
dc.contributor.author | Miao, Hongyu | |
dc.contributor.author | Xia, Xiaohua | |
dc.contributor.author | Perelson, Alan S. | |
dc.contributor.author | Wu, Hulin | |
dc.contributor.email | xxia@postino.up.ac.za | en_US |
dc.date.accessioned | 2012-08-16T13:15:04Z | |
dc.date.available | 2012-08-16T13:15:04Z | |
dc.date.issued | 2011-02-08 | |
dc.description.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. | en_US |
dc.description.librarian | ai2012 | en |
dc.description.sponsorship | NIAID/NIH research grants AI055290, AI50020, AI28433, AI078498, RR06555, the University of Rochester Provost Award, and the University of Rochester DCFAR (P30AI078498) Mentoring Award. | en_US |
dc.description.uri | http://www.siam.org/journals/sirev/53-1/75700.html | en_US |
dc.identifier.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. | en_US |
dc.identifier.issn | 0036-1445 | |
dc.identifier.other | 10.1137/090757009 | |
dc.identifier.uri | http://hdl.handle.net/2263/19604 | |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2011 Society for Industrial and Applied Mathematicse/ | en_US |
dc.subject | ODE modeling | en_US |
dc.subject | Viral dynamics | en_US |
dc.subject.lcsh | Differential equations -- Mathematical models | en |
dc.subject.lcsh | Virus diseases -- Mathematical models | en |
dc.subject.lcsh | Virus diseases -- Computer simulation | en |
dc.title | On identifiability of nonlinear ODE models and applications in viral dynamics | en_US |
dc.type | Article | en_US |