Free terminal time optimal control problem for the treatment of HIV infection

@inproceedings{Hamdache2016FreeTT,
  title={Free terminal time optimal control problem for the treatment of HIV infection},
  author={Amine Hamdache and Smahane Saadi and Ilias Elmouki},
  year={2016}
}
In this work, an optimal control approach is presented in order to propose an optimal therapy for the treatment HIV infection using a combination of two appropriate treatment strategies. The optimal treatment duration and the optimal medications amount are considered. The main objective of this study is to be able to maximize the benet based on number of healthy CD4+ T-cells and CTL immune cells and to minimize the infection level and the overall treatment cost while optimizing the duration of… CONTINUE READING

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