A chemotherapy model for the treatment of cancer with metastasis

In this paper, we propose and analyse a mathematical model of cancer treatment by chemotherapy where there is metastasis from a primary to a secondary site by the cancer cells. We view the interactions between normal and cancer cells as being competitive for available resources, and we think of the...

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Published inMathematical and computer modelling Vol. 36; no. 7; pp. 773 - 803
Main Authors Pinho, S.T.R., Freedman, H.I., Nani, F.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2002
Subjects
Chemotherapy
Competition models
Metastasis
Stability
Time delay
Chemotherapy
Stability
Metastasis
Time delay
Competition models
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Summary:In this paper, we propose and analyse a mathematical model of cancer treatment by chemotherapy where there is metastasis from a primary to a secondary site by the cancer cells. We view the interactions between normal and cancer cells as being competitive for available resources, and we think of the chemotherapy agent as a predator on both normal and cancer cells. The metastasis may be time delayed. The analysis is carried out both analytically (where possible) and numerically. In particular, we look at the existence and stability of equilibria of our model, which consists of six differential equations. As well, we investigate (numerically) the behavior of solutions for various values of the parameters.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(02)00227-3