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Identifiability of HIV/AIDs models. (English) Zbl 1268.92092

Tan, Wai-Yuan et al., Deterministic and stochastic models of AIDS epidemic and HIV infections with intervention. Hackensack, NJ: World Scientific (ISBN 981-256-139-0/hbk). 255-286 (2005).
Summary: There is a need to accurately estimate all viral, host cell and immune response specific parameters. Before such an extensive parameter estimation exercise can be carried out, an identifiability analysis needs to be done to investigate whether or not it is possible to determine all the parameters. If it is found to be possible, then the conditions or restrictions that apply need to be known beforehand. The issues to address are the variables to be measured, the minimal number of measurements for a complete determination of all parameters, the frequency and when, during the course of the viral infection, such measurements can be taken. It is important to know this in advance, especially where budgets are concerned. The measured variable combination and conditions that result in the least number of measurements or cost less could then be selected. All the foregoing will be investigated in this article using a well-established nonlinear system identifiability theory, where identifiability is a basic system property of whether all model parameters can be calculated from the measured system outputs and known inputs.
For the entire collection see [Zbl 1141.92328].

MSC:

92C60 Medical epidemiology
62P10 Applications of statistics to biology and medical sciences; meta analysis
34C60 Qualitative investigation and simulation of ordinary differential equation models
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