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 di erent therapeutical situations which can be found in the literature. These simulations are consistent with what is expected in these situations.
On a tumor growth model with brain lactate kinetics / Cherfils, Laurence; Gatti, Stefania; Guillevin, Carole; Miranville, Alain; Guillevin, Rémy. - In: MATHEMATICAL MEDICINE AND BIOLOGY. - ISSN 1477-8599. - 39:4(2022), pp. 382-409. [10.1093/imammb/dqac010]
On a tumor growth model with brain lactate kinetics
Cherfils, Laurence;Gatti, Stefania;Miranville, Alain
;
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 di erent therapeutical situations which can be found in the literature. These simulations are consistent with what is expected in these situations.
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