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A hybrid approach to multi-scale modelling of cancer

Osborne, J. M.; Walter, Alex; Kershaw, S. K.; Mirams, G. R.; Fletcher, A. G.; Pathmanathan, P.; Gavaghan, D.; Jensen, O. E.; Maini, P. K.; Byrne, H. M.

Authors

J. M. Osborne

Alex Walter

S. K. Kershaw

A. G. Fletcher

P. Pathmanathan

D. Gavaghan

O. E. Jensen

P. K. Maini

H. M. Byrne



Abstract

In this paper, we review multi-scale models of solid tumour growth and discuss a middleout framework that tracks individual cells. By focusing on the cellular dynamics of a healthy colorectal crypt and its invasion by mutant, cancerous cells, we compare a cellcentre, a cell-vertex and a continuum model of cell proliferation and movement. All models reproduce the basic features of a healthy crypt: cells proliferate near the crypt base, they migrate upwards and are sloughed off near the top. The models are used to establish conditions under which mutant cells are able to colonize the crypt either by top-down or by bottom-up invasion. While the continuum model is quicker and easier to implement, it can be difficult to relate system parameters to measurable biophysical quantities. Conversely, the greater detail inherent in the multi-scale models means that experimentally derived parameters can be incorporated and, therefore, these models offer greater scope for understanding normal and diseased crypts, for testing and identifying new therapeutic targets and for predicting their impacts. © 2010 The Royal Society.

Citation

Osborne, J. M., Walter, A., Kershaw, S. K., Mirams, G. R., Fletcher, A. G., Pathmanathan, P., Gavaghan, D., Jensen, O. E., Maini, P. K., & Byrne, H. M. (2010). A hybrid approach to multi-scale modelling of cancer. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 368(1930), 5013-5028. https://doi.org/10.1098/rsta.2010.0173

Journal Article Type Review
Publication Date Nov 13, 2010
Deposit Date Jan 14, 2020
Journal Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-503X
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 368
Issue 1930
Pages 5013-5028
DOI https://doi.org/10.1098/rsta.2010.0173
Public URL https://nottingham-repository.worktribe.com/output/3217731
Publisher URL https://royalsocietypublishing.org/doi/10.1098/rsta.2010.0173