2014 American Control Conference 2014
DOI: 10.1109/acc.2014.6858714
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Uncertainty quantification for a model of HIV-1 patient response to antiretroviral therapy interruptions

Abstract: We consider a model for in-host HIV-1 infection dynamics developed and validated with patient data in earlier work [1]. We revisit the earlier model in light of progress over the last several years in understanding of HIV-1 progression in humans. We then consider statistical models to describe the data and use these with residual plots in weighted least squares problems to develop accurate descriptions of the proper weights for the data. Bootstrapping is then used to develop confidence intervals for the result… Show more

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Cited by 5 publications
(4 citation statements)
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“…In a study conducted in the USA [20], HIV-1 infection dynamic model was designed and evaluated with their data to ease the improvement in human beings. Bootstrapping is used in order to correlate the different parameters.…”
Section: Literature Reviewmentioning
confidence: 99%
“…In a study conducted in the USA [20], HIV-1 infection dynamic model was designed and evaluated with their data to ease the improvement in human beings. Bootstrapping is used in order to correlate the different parameters.…”
Section: Literature Reviewmentioning
confidence: 99%
“…We then used the complex step method [40] to estimate model sensitivity for each parameter. From the sensitivities, we approximated parameter covariances and standard errors [41][42][43].…”
Section: Uncertainty Quantification and Subset Selection: Which Model Parameters Can Be Estimated For Each Individual Dataset?mentioning
confidence: 99%
“…For size class 2, the adult population, however, γ = 0 is sufficiently random. We note that other works have incorporated varying γ values for certain classes of observables [14,10].…”
Section: Generalized Least Squares Parameter Estimation and Uncertainmentioning
confidence: 99%