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On the parameters estimation of HIV dynamic models

Rocha, Diana; Gouveia, Sónia; Pinto, Carla; Scotto, Manuel; Tavares, J.N.; Valadas, E.; Caldeira, L.F.

Proceedings of the III Encontro Luso-Galaico de Biometria, M. Monteiro, A. Freitas, L. Teixeira and M. Costa, eds., (2018), 57-60

This work introduces an estimation method to obtain the optimal parameter estimate of a mathematical model from a set of CD4+T values from a HIV patient. To this end, the following scheme is adopted: the first step consists of selecting the candidate with minimum square error, from a set of randomly generated candidates. In the second step, the selected candidate is refined by an optimization
algorithm with constraints and bounds (imposed by physiology), resulting on the optimal estimate. The proposed method is illustrated through a simulation study.