Journal article

A hybrid approach to multi-scale modelling of cancer

JM Osborne, A Walter, SK Kershaw, GR Mirams, AG Fletcher, P Pathmanathan, D Gavaghan, OE Jensen, PK Maini, HM Byrne

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | ROYAL SOC | Published : 2010

Abstract

In this paper, we review multi-scale models of solid tumour growth and discuss a middle-out 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 cell-centre, 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 impleme..

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University of Melbourne Researchers

Grants

Awarded by EPSRC


Awarded by Life Sciences Interface Doctoral Training Centre (DTC)


Awarded by OCISB


Awarded by Systems Biology DTC


Awarded by European Commission


Awarded by Engineering and Physical Sciences Research Council


Funding Acknowledgements

The authors gratefully acknowledge financial support from the EPSRC awarded to A. W., A. G. F. and G. R. M. as part of the Integrative Biology programme (GR/572023/01) and to J.M.O as part of a Life Sciences Interface Doctoral Training Centre (DTC) studentship (EP/E501605/1). J.M.O. and A. G. F. are funded through the OCISB project (BB/D020190/1). S. K. K. is supported by a Systems Biology DTC studentship (EP/G50029/1). G. R. M. is supported by the European Commission PreDiCT project (DG-INFSO 224381). P. P. is supported by the EPSRC-funded OxMOS project (EP/D048400/1). P. K. M. was partially supported by a Royal Society Wolfson Research Merit Award. P. K. M. and H. M. B. acknowledge support from PMI2 (British Council).