| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Cancer modelling
|
|
|---|---|---|
| Article Number | 4 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/mmnp/2020057 | |
| Published online | 08 February 2021 | |
Multiobjective approach in the treatment of cancer
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.
* Corresponding author: souky.sabir@gmail.com
Received:
9
May
2020
Accepted:
11
December
2020
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.
Mathematics Subject Classification: 34H05 / 49J15 / 49M25 / 49N05
Key words: Chemotherapy / Pareto optimum / Optimal control
© The authors. Published by EDP Sciences, 2021
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