On a tumor growth model with brain lactate kinetics. (12th August 2022)

• Record Type: Journal Article
• Authors: Cherfils, Laurence; Gatti, Stefania; Guillevin, Carole; Miranville, Alain; Guillevin, Rémy
• Is Part Of: Mathematical medicine and biology. Volume 39:Number 4(2022)
• Page Start: 382
• Page End: 409
• Publication Date: 2022-08-12
• Subjects: tumor growth -- lactate concentrations -- well-posedness -- simulations; Biomathematics -- Periodicals; Medicine -- Mathematics -- Periodicals; Medicine -- Periodicals; Biology -- Periodicals; Biomedical Research -- Periodicals; Models, Theoretical -- Periodicals; 570.15195
• DOI: 10.1093/imammb/dqac010
• Languages: English
• ISSNs: 1477-8599

Abstract

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.