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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 25, Issue 1


Feasibility of parameter estimation in hepatitis C viral dynamics models

Joseph G. Arthur / Hien T. Tran / Philip Aston
Published Online: 2016-02-17 | DOI: https://doi.org/10.1515/jiip-2014-0048


Methodologies are presented for assessing the feasibility of parameter estimation in nonlinear ordinary differential equation (ODE) models. These methods are applied to a recent model for hepatitis C viral dynamics. Subset selection is performed on the model parameters, and maximum likelihood estimation is conducted using available data from the literature.

Keywords: Parameter estimation; expectation maximization; identifiability; sensitivity analysis

MSC 2010: 65L09; 92B05


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About the article

Received: 2014-07-16

Revised: 2015-12-04

Accepted: 2016-01-13

Published Online: 2016-02-17

Published in Print: 2017-02-01

Funding Source: National Science Foundation

Award identifier / Grant number: DGE-4747

Award identifier / Grant number: NSF-DMS 1022688

Funding Source: National Institute of Allergy and Infectious Diseases

Award identifier / Grant number: NIAID 9R01AI071915

J. G. Arthur was supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-4747. Additionally, travel funding for J. G. Arthur to present this work at the SIAM Conference on the Life Sciences was provided by the Office of Undergraduate Research and Department of Mathematics, both at North Carolina State University. Also, H. T. Tran was supported in part by the National Institute of Allergy and Infectious Disease under grant NIAID 9R01AI071915 and by the National Science Foundation under grant NSF-DMS 1022688.

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 25, Issue 1, Pages 69–80, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2014-0048.

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