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Journal of Applied Mathematics and Computing

Erschienen in:

06.11.2022 | Original Research

Mathematical models and dynamic behaviors of cancer treatment by continuous and pulsed radiotherapy

verfasst von: Zijian Liu, Zhonghu Luo, Yuanshun Tan, Jianhua Pang, Jing Chen

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 2/2023

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Abstract

In this study, two mathematical models are introduced to describe treatment of cancer by continuous and pulsed radiotherapy. In the continuous radiotherapy model, we determine all of the equilibrium points and conduct a thorough examination of the stability of these equilibria. Criterions of the radiation dose that guarantee the cancer to be eradicated or take a positive balance with normal cells are provided. In the pulsed radiotherapy model, conditions of the existence and stability of cancer win periodic solution, cancer eradication periodic solution and coexistent periodic solution are derived. Meanwhile, numerical simulations to the effect of radiation dose on the cure and spread of the cancer are carried out. A brief conclusion is presented, as well as a few intriguing subjects for additional investigation are discussed.

Vorheriger Artikel Partial permanence and stationary distribution of a stochastic competitive model with feedback controls and distributed delays

Nächster Artikel On analysis of fractional order HIV infection model with the adaptive immune response under Caputo operator

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Titel: Mathematical models and dynamic behaviors of cancer treatment by continuous and pulsed radiotherapy
verfasst von: Zijian Liu
Zhonghu Luo
Yuanshun Tan
Jianhua Pang
Jing Chen
Publikationsdatum: 06.11.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 2/2023
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-022-01813-z

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