On identifiability of nonlinear ODE models and applications in viral dynamics

dc.contributor.authorMiao, Hongyu
dc.contributor.authorXia, Xiaohua
dc.contributor.authorPerelson, Alan S.
dc.contributor.authorWu, Hulin
dc.contributor.emailxxia@postino.up.ac.zaen_US
dc.date.accessioned2012-08-16T13:15:04Z
dc.date.available2012-08-16T13:15:04Z
dc.date.issued2011-02-08
dc.description.abstractOrdinary 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.librarianai2012en
dc.description.sponsorshipNIAID/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.urihttp://www.siam.org/journals/sirev/53-1/75700.htmlen_US
dc.identifier.citationMiao, 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.issn0036-1445
dc.identifier.other10.1137/090757009
dc.identifier.urihttp://hdl.handle.net/2263/19604
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2011 Society for Industrial and Applied Mathematicse/en_US
dc.subjectODE modelingen_US
dc.subjectViral dynamicsen_US
dc.subject.lcshDifferential equations -- Mathematical modelsen
dc.subject.lcshVirus diseases -- Mathematical modelsen
dc.subject.lcshVirus diseases -- Computer simulationen
dc.titleOn identifiability of nonlinear ODE models and applications in viral dynamicsen_US
dc.typeArticleen_US

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