Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration

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.

Authors

Lorand Gabriel Parajdi
Babeş-Bolyai University, Cluj-Napoca, Romania

Radu Precup
Babes-Bolyai University, Cluj-Napoca, Romania

Marcel-Adrian Şerban
Babeş-Bolyai University, Cluj-Napoca, Romania

Ioan Ştefan Haplea
Iuliu Haţieganu University of Medicine and Pharmacy, Cluj-Napoca, Romania

Keywords

generalized logistic model; solid tumor; stability; equilibrium point; numerical simulation; dynamic system

Paper coordinates

L.G. Parajdi, R. Precup, M.-A. Şerban, I.Şt. Haplea, Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration, Mathematical Biosciences and Engineering 18 (2021) no. 2, 1845-1863, https://doi.org/10.3934/mbe.2021096

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Journal

Mathematical Biosciences and Engineering

Publisher Name

AIMS

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