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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Inverse problems and model validation: an example from latent virus reactivation

H. T. Banks1 / G. M. Kepler2 / H. K. Nguyen3 / J. Webster-Cyriaque4

1Center For Research in Scientific Computation, North Carolina State University, Raleigh, N.C. 27695-8205, USA. Email:

2Center For Research in Scientific Computation, North Carolina State University, Raleigh, N.C. 27695-8205, USA. Email:

3Center for Naval Analyses, Alexandria, VA 22311, USA. Email:

4Department of Dental Ecology, School of Dentistry, University of North Carolina, Chapel Hill, N.C. 27599, USA. Email:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 3, Pages 225–241, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.012, June 2007

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We consider a least squares inverse problem with a model for inducer-mediated reactivation of latent viruses. We illustrate the difficulties associated with the lack of sufficient data (quantity as well as form) in such problems. The modeling and estimation efforts described suggest new experiments as well as needed model extensions.

Key Words: Least squares inverse problems,; nonlinear dynamical models,; reactivation of latent viruses.

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G.M. Kepler, H.T. Banks, M. Davidian, and E.S. Rosenberg
Mathematical and Computer Modelling, 2009, Volume 49, Number 7-8, Page 1653

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