2007
DOI: 10.1007/s11538-006-9140-6
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Estimation and Prediction With HIV-Treatment Interruption Data

Abstract: We consider longitudinal clinical data for HIV patients undergoing treatment interruptions. We use a nonlinear dynamical mathematical model in attempts to fit individual patient data. A statistically-based censored data method is combined with inverse problem techniques to estimate dynamic parameters. The predictive capabilities of this approach are demonstrated by comparing simulations based on estimation of parameters using only half of the longitudinal observations to the full longitudinal data sets.

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Cited by 50 publications
(73 citation statements)
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“…Here we explored the hypothesis that potent early treatment not only drove viral loads below the limit of detection but also interrupted the formation of the latent reservoir, so that upon cessation of ART, the adaptive immune response was then able to control infection. To investigate this hypothesis, we created a mathematical model of viral dynamics encompassing both effector cell and latent reservoir dynamics, extending previously published models (24,34,35,56). Though HIV-specific antibody responses may also play a role in PTC, here we focused on cell-mediated responses, including the possibility of immune exhaustion.…”
Section: Discussionmentioning
confidence: 99%
See 3 more Smart Citations
“…Here we explored the hypothesis that potent early treatment not only drove viral loads below the limit of detection but also interrupted the formation of the latent reservoir, so that upon cessation of ART, the adaptive immune response was then able to control infection. To investigate this hypothesis, we created a mathematical model of viral dynamics encompassing both effector cell and latent reservoir dynamics, extending previously published models (24,34,35,56). Though HIV-specific antibody responses may also play a role in PTC, here we focused on cell-mediated responses, including the possibility of immune exhaustion.…”
Section: Discussionmentioning
confidence: 99%
“…Our model of effector cell dynamics, which underlies the possibility of an individual having two distinct viral load setpoints, is relatively simple and based on prior work (34,35). A number of more complex models that incorporate additional immune system features, such as the role CD4 + T cells as both helper cells and target cells, precursor and effector CD8 + cells, as well as more explicit models of immune impairment have also been shown to exhibit coexistence of two stable viral set-points (58-60).…”
Section: Discussionmentioning
confidence: 99%
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“…We utilize both sensitivity analysis and identifiability analysis methods to compute patient specific best-estimatable subsets of parameters. In [21] an identifiability analysis was conducted on an identical model, however the authors used a different, ad-hoc subset selection procedure.…”
Section: Introductionmentioning
confidence: 99%