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On a tumor growth model with brain lactate kinetics
Laurence Cherfils1, Stefania Gatti2, Carole Guillevin3
1LaSIE UMR CNRS 7356, La Rochelle Université, Avenue Michel Crépeau, F-17042 La Rochelle Cedex, France.
Mathematical Medicine and Biology : a Journal of the IMA
|August 12, 2022
Abstract:
Our aim in this paper is to study a mathematical model for high grade gliomas, taking into account lactates kinetics, as well as chemotherapy and antiangiogenic treatment. In particular, we prove the existence and uniqueness of biologically relevant solutions. We also perform numerical simulations based on different therapeutical situations that can be found in the literature. These simulations are consistent with what is expected in these situations.

