Global dynamics of a cancer stem cell treatment model

Autor:	K. Abernathy, H. Whiteside, R. Dougherty-Bliss, C. Mayer, Z. Abernathy
Rok vydání:	2019
Předmět:	Oncology medicine.medical_specialty Chemotherapy Control and Optimization medicine.medical_treatment General Engineering Combination chemotherapy Cancer treatment Radiation therapy Combined treatment Cancer stem cell Internal medicine medicine Discrete Mathematics and Combinatorics Mathematics
Zdroj:	International Journal of Dynamical Systems and Differential Equations. 9:176
ISSN:	1752-3591 1752-3583
DOI:	10.1504/ijdsde.2019.100566
Popis:	We provide global stability arguments for a cancer treatment model with chemotherapy and radiotherapy that accounts for the cancer stem cell hypothesis. Employing the method of localisation of compact invariant sets, we resolve the global dynamics of the no-treatment, constant radiation, and combination chemotherapy and radiotherapy cases. In our analysis of the combination treatment model, we show that the presence of a chemotherapy agent lowers the required radiation strength for a globally stable cure state.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e882d376e5f2459f8f337c70e4bc15b https://doi.org/10.1504/ijdsde.2019.100566 Zobrazit plný text záznamu