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Modelling the Internalization of Labelled Cells in Tumour Spheroids

โœ Scribed by K.E. Thompson; H.M. Byrne


Book ID
102566504
Publisher
Springer
Year
1999
Tongue
English
Weight
254 KB
Volume
61
Category
Article
ISSN
1522-9602

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โœฆ Synopsis


In this paper a mathematical model is developed to describe the migration of labelled particles within a multicell spheroid. In the model, spatial variations in cell proliferation and death create an internal velocity field which leads to redistribution of the labelled and unlabelled cells. By applying a range of numerical and analytical techniques to the model equations, it is possible to show that, whilst the speed with which the labelled cells migrate through the tumour is independent of the type of cells that are labelled, their limiting distribution depends crucially on whether inert polystyrene microspheres or live tumour cells are labelled. These predictions are shown to be in good qualitative agreement with independent experimental results.


๐Ÿ“œ SIMILAR VOLUMES


The Migration of Cells in Multicell Tumo
โœ G.J. Pettet; C.P. Please; M. J. Tindall; D.L.S. McElwain ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Springer ๐ŸŒ English โš– 449 KB

A mathematical model is proposed to explain the observed internalization of microspheres and 3 H-thymidine labelled cells in steady-state multicellular spheroids. The model uses the conventional ideas of nutrient diffusion and consumption by the cells. In addition, a very simple model of the progres