Geodesic
Multiobjective approach in the treatment of cancer
Soukaina Sabir1 ; Nadia Raissi2 ; Mustapha Serhani3
1 Faculty of sciences, University of Mohammed V, 4 Avenue Ibn Battouta B.P. 1014 RP, Rabat, Morocco.
2 NAMDS Team, MAA Laboratory, Faculty of sciences, University of Mohammed V, 4 Avenue Ibn Battouta B.P. 1014 RP, Rabat, Morocco.
3 MACS Team, MACS Laboratory, FSJES, University Moulay Ismail, B.P. 3102, Toulal, Meknes, Morocco.
Mathematical modelling of natural phenomena, Tome 16 (2021), article no. 4.

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In this work we deal with a cancer problem involving the growth of tumor cells and their interaction with effector cells. The goal is to find an optimal control minimizing tumor cells density together with the amount of chemotherapy drugs and maximizing the density of effector cells. By invoking the multi-objective optimization we characterize optimal Pareto solutions and give simulation of Pareto front.
DOI : 10.1051/mmnp/2020057

Soukaina Sabir 1 ; Nadia Raissi 2 ; Mustapha Serhani 3

1 Faculty of sciences, University of Mohammed V, 4 Avenue Ibn Battouta B.P. 1014 RP, Rabat, Morocco.
2 NAMDS Team, MAA Laboratory, Faculty of sciences, University of Mohammed V, 4 Avenue Ibn Battouta B.P. 1014 RP, Rabat, Morocco.
3 MACS Team, MACS Laboratory, FSJES, University Moulay Ismail, B.P. 3102, Toulal, Meknes, Morocco. 
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Soukaina Sabir; Nadia Raissi; Mustapha Serhani. Multiobjective approach in the treatment of cancer. Mathematical modelling of natural phenomena, Tome 16 (2021), article  no. 4. doi : 10.1051/mmnp/2020057. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/2020057/

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