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- Title
Optimal control of therapies on a tumor growth model with brain lactate kinetics.
- Authors
Cherfils, Laurence; Gatti, Stefania; Miranville, Alain; Raad, Hussein; Guillevin, Rémy
- Abstract
We prove the existence of an optimal treatment combining chemotherapy and a lactate targeting drug for a mathematical model for high grade gliomas and lactate kinetics. A necessary condition for a treatment to be optimal is also devised, allowing to design numerically the proper therapy. The analytical results are validated by the numerical simulations; as clinical experience proves, the simulations show that the effect of chemotherapy is enhanced by the other drug whose sole administration is, in turn, almost irrelevant.
- Subjects
TUMOR growth; NEURAL development; LACTATES; LACTATION; REACTION-diffusion equations; COMPUTER simulation
- Publication
Discrete & Continuous Dynamical Systems - Series S, 2024, Vol 17, Issue 7, p1
- ISSN
1937-1632
- Publication type
Article
- DOI
10.3934/dcdss.2024032