An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy

DOI10.2478/amns.2020.2.00037OpenAlexW3094812047MaRDI QIDQ2690763

Artur César Fassoni, Anderson Luis A. de Araujo, Luís F. Salvino

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01502

zbMATH Keywords

tumor growthnonlinear systemexistence of solutionschemotherapeutic drug

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37) Initial value problems for second-order parabolic systems (35K45) Medical epidemiology (92C60)

Cites Work

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• A comparison and catalog of intrinsic tumor growth models
• Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
• A general reaction-diffusion model of acidity in cancer invasion
• A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion

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