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

Lorand Gabriel Parajdi; Radu Precup; Marcel-Adrian Şerban; Ioan Ştefan Haplea; Lorand Gabriel Parajdi; Radu Precup; Marcel-Adrian Şerban; Ioan Ştefan Haplea

doi:10.3934/mbe.2021096

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 2: 1845-1863. doi: 10.3934/mbe.2021096

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

1.
Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca 400084, Romania
2.
Department of Internal Medicine, Iuliu Haţieganu University of Medicine and Pharmacy, Cluj-Napoca 400012, Romania

Received: 19 December 2020 Accepted: 01 February 2021 Published: 22 February 2021

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.
- generalized logistic model,
- solid tumor,
- stability,
- equilibrium point,
- numerical simulation,
- dynamic system
Citation: Lorand Gabriel Parajdi, Radu Precup, Marcel-Adrian Şerban, Ioan Ştefan Haplea. Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration[J]. Mathematical Biosciences and Engineering, 2021, 18(2): 1845-1863. doi: 10.3934/mbe.2021096

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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.

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