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Owen1998 - tumour growth model


ABSTRACT: Owen1998 - tumour growth model Deterministic model for the early, avascular growth of a tumour, concentrating on the inhibitory effect of macrophages. This model is described in the article: Modelling the macrophage invasion of tumours: effects on growth and composition. Owen MR, Sherratt JA. IMA J Math Appl Med Biol 1998 Jun; 15(2): 165-185 Abstract: Even in the early stages of their development, tumours are not simply a homogeneous grouping of mutant cells; rather, they develop in tandem with normal tissue cells, and also recruit other cell types including lymphatic cells and the endothelial cells required for the development of a blood supply. It has been repeatedly seen that macrophages form a significant proportion of the tumour mass, and that they can have a variety of effects upon the tumour, leading to a delicate balance between growth promotion and inhibition. This paper develops a model for the early, avascular growth of a tumour, concentrating on the inhibitory effect of macrophages due to their cytolytic activity. It is shown that such an immune response is not sufficient to prevent growth, due to it being a second-order process with respect to the density of the tumour cells present. However, the presence of macrophages does have important effects on the tumour composition, and the authors perform a detailed bifurcation analysis of their model to clarify this. An extended model is also considered which incorporates addition of exogenous chemical regulators. In this case, the model admits the possibility of tumour regression, and the therapeutic implications of this are discussed. This model is hosted on BioModels Database and identified by: BIOMD0000000670. To cite BioModels Database, please use: Chelliah V et al. BioModels: ten-year anniversary. Nucl. Acids Res. 2015, 43(Database issue):D542-8. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

SUBMITTER: administrator  

PROVIDER: BIOMD0000000670 | BioModels | 2017-06-13

REPOSITORIES: BioModels

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Modelling the macrophage invasion of tumours: effects on growth and composition.

Owen MR   Sherratt JA  

IMA journal of mathematics applied in medicine and biology 19980601 2


Even in the early stages of their development, tumours are not simply a homogeneous grouping of mutant cells; rather, they develop in tandem with normal tissue cells, and also recruit other cell types including lymphatic cells and the endothelial cells required for the development of a blood supply. It has been repeatedly seen that macrophages form a significant proportion of the tumour mass, and that they can have a variety of effects upon the tumour, leading to a delicate balance between growt  ...[more]

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