Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics |
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Authors: | D?M?Bortz Email author" target="_blank">P?W?NelsonEmail author |
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Institution: | (1) Department of Mathematics, University of Michigan, 2074 East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA |
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Abstract: | A formal sensitivity analysis is performed on a delay differential equation model for the viral dynamics of an in vivo HIV infection during protease inhibitor therapy. We present results of both a differential analysis as well as a principle
component based analysis and provide evidence that suggests the exact times at which specific parameters have the most influence
over the solution. We offer insight into the pairwise mathematical relationships between the productively infected T-cell
death rate δ, the viral plasma clearance rate c, and the time delay τ between infection and viral production as they relate to the viral dynamics. The results support the claim that the presence
of a nonzero delay has a major impact on the model dynamics. Lastly, we comment upon the inadequacies of an alternative principle
component based analysis. |
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Keywords: | |
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