PMID: 9661282Jul 14, 1998Paper

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

IMA Journal of Mathematics Applied in Medicine and Biology
Markus R Owen, J A Sherratt

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 t...Continue Reading

Citations

Mar 18, 2005·Journal of Mathematical Biology·Youshan Tao, Qian Guo
Mar 3, 2007·Bulletin of Mathematical Biology·Steven D WebbClaire E Lewis
Mar 13, 2010·Bulletin of Mathematical Biology·Raluca EftimieDavid J D Earn
Sep 5, 2002·Mathematical Biosciences·Steven D WebbReginald G Fish
Jul 31, 2012·Theoretical Biology & Medical Modelling·Heiko EnderlingPhilip Hahnfeldt
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Dec 10, 2015·Current Problems in Cancer·Rachel Walker, Heiko Enderling
May 9, 2014·Journal of Theoretical Biology·Hildur KnútsdóttirLeah Edelstein-Keshet
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Jul 6, 2014·Journal of Theoretical Biology·Louise VigerChristophe Letellier
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Jan 10, 2018·Computational and Mathematical Methods in Medicine·Ping BiJianhua Pang
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Dec 29, 2004·Leukemia & Lymphoma·Karen Page, Jonathan W Uhr
Feb 1, 2018·Journal for Immunotherapy of Cancer·Grace MahlbacherHermann B Frieboes
Oct 25, 2016·Mathematical Biosciences and Engineering : MBE·K E Starkov, Svetlana Bunimovich-Mendrazitsky
Jun 18, 2002·Immunology and Cell Biology·Nikolai Petrovsky, Vladimir Brusic
Aug 19, 2020·PLoS Computational Biology·Joshua A BullHelen M Byrne

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