文章基本信息

标题：On the parameters estimation of HIV dynamic models
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作者：Diana Rocha ; Sónia Gouveia ; Carla Pinto 等
期刊名称：RevStat : Statistical Journal
印刷版ISSN：1645-6726
出版年度：2019
卷号：17
期号：2
页码：209-222
出版社：Instituto Nacional de Estatística
摘要：This work proposes an estimation method to obtain the optimal parameter estimates of a mathematical model, from a set of CD4+T values collected in a HIV patient. To this end, the following scheme is adopted: the first step consists in selecting an initial estimate for the model’s parameters as that having minimum square error, from a set of uniform randomly generated candidates. In the second step, the initial solution is refined by an optimization algorithm with constraints and bounds (imposed by physiology), resulting on the optimal estimate. The proposed method is validated through a simulation study and illustrated with an application to a real data set of CD4+T cells counts for several HIV patients.
关键词：Parameter estimation; nonlinear programming; mathematical models; human immunodeficiency; virus (HIV).