A hybrid approach to multi−scale modelling of cancer
J. M. Osborne‚ A. Walter‚ S. K. Kershaw‚ G. R. Mirams‚ A. G. Fletcher‚ P. Pathmanathan‚ D. Gavaghan‚ O. E. Jensen‚ P. K. Maini and 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 a
Details
| Journal |
Philosophical Transactions of the Royal Society A: Mathematical‚ Physical and Engineering Sciences |
| Month |
Nov |
| Number |
1930 |
| Pages |
5013–5028 |
| Volume |
368 |
| Year |
2010 |
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People |
Alexander Fletcher | David Gavaghan | Sophie Kershaw | Philip Maini | Gary Mirams | James Osborne | Pras Pathmanathan |