A Mathematical Model of Cancer Treatment by Radiotherapy

A periodic mathematical model of cancer treatment by radiotherapy is presented and studied in this paper. Conditions on the coexistence of the healthy and cancer cells are obtained. Furthermore, sufficient conditions on the existence and globally asymptotic stability of the positive periodic solutio...

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Detalles Bibliográficos
Autores principales: Liu, Zijian, Yang, Chenxue
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4247922/
https://www.ncbi.nlm.nih.gov/pubmed/25478002
http://dx.doi.org/10.1155/2014/172923
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author Liu, Zijian
Yang, Chenxue
author_facet Liu, Zijian
Yang, Chenxue
author_sort Liu, Zijian
collection PubMed
description A periodic mathematical model of cancer treatment by radiotherapy is presented and studied in this paper. Conditions on the coexistence of the healthy and cancer cells are obtained. Furthermore, sufficient conditions on the existence and globally asymptotic stability of the positive periodic solution, the cancer eradication periodic solution, and the cancer win periodic solution are established. Some numerical examples are shown to verify the validity of the results. A discussion is presented for further study.
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spelling pubmed-42479222014-12-04 A Mathematical Model of Cancer Treatment by Radiotherapy Liu, Zijian Yang, Chenxue Comput Math Methods Med Research Article A periodic mathematical model of cancer treatment by radiotherapy is presented and studied in this paper. Conditions on the coexistence of the healthy and cancer cells are obtained. Furthermore, sufficient conditions on the existence and globally asymptotic stability of the positive periodic solution, the cancer eradication periodic solution, and the cancer win periodic solution are established. Some numerical examples are shown to verify the validity of the results. A discussion is presented for further study. Hindawi Publishing Corporation 2014 2014-11-13 /pmc/articles/PMC4247922/ /pubmed/25478002 http://dx.doi.org/10.1155/2014/172923 Text en Copyright © 2014 Z. Liu and C. Yang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Liu, Zijian
Yang, Chenxue
A Mathematical Model of Cancer Treatment by Radiotherapy
title A Mathematical Model of Cancer Treatment by Radiotherapy
title_full A Mathematical Model of Cancer Treatment by Radiotherapy
title_fullStr A Mathematical Model of Cancer Treatment by Radiotherapy
title_full_unstemmed A Mathematical Model of Cancer Treatment by Radiotherapy
title_short A Mathematical Model of Cancer Treatment by Radiotherapy
title_sort mathematical model of cancer treatment by radiotherapy
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4247922/
https://www.ncbi.nlm.nih.gov/pubmed/25478002
http://dx.doi.org/10.1155/2014/172923
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