On the Parameters Estimation of HIV Dynamic Models


  • Diana Rocha University of Aveiro
  • Sónia Gouveia University of Aveiro
  • Carla Pinto University of Porto
  • Manuel Scotto University of Lisbon
  • João Nuno Tavares University of Porto




parameter estimation, nonlinear programming, mathematical models, human immunodeficiency virus (HIV)


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.



How to Cite

Rocha , D., Gouveia , S., Pinto , C., Scotto , M., & Tavares , J. N. (2019). On the Parameters Estimation of HIV Dynamic Models . REVSTAT-Statistical Journal, 17(2), 209–222. https://doi.org/10.57805/revstat.v17i2.265