Analysis of the Effectiveness of the Treatment of Solid Tumors in Two Cases of Drug AdministrationResearch Paper, February 22, 2021 / Lorand Gabriel Parajdi
Published in AIMS Mathematical Biosciences and Engineering 18(2), 1845-1863, DOI: 10.3934/mbe.2021096, 2021.
The full paper is available on the AIMS Mathematical Biosciences and Engineering website: http://www.aimspress.com/article/doi/10.3934/mbe.2021096
Authors: Lorand Gabriel Parajdi1, Radu Precup1, Marcel-Adrian Șerban1 and Ioan Ștefan Haplea2
1 Department of Mathematics, “Babeş–Bolyai” University, Cluj-Napoca, Romania 2 Department of Internal Medicine, “Iuliu Haţieganu” University of Medicine and Pharmacy, Cluj-Napoca, Romania
Abstract: A complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of administration of the treatment, by continuous infusion and by periodic infusion. Several numerical simulations illustrate and complement the theory.
Keywords: Generalized logistic model; Solid tumor; Stability; Equilibrium point; Numerical simulation; Dynamic system.
Cite As: Parajdi LG, Precup R, Șerban M-A, Haplea IȘ. Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration. Mathematical Biosciences and Engineering. 2021; 18(2):1845-1863.
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