Computational modelling of cancer development and growth: Modelling at multiple scales and multiscale modelling

Szymańska, Z., Cytowski, M., Mitchell, E., Macnamara, C. K. and Chaplain, M. A.J. (2018) Computational modelling of cancer development and growth: Modelling at multiple scales and multiscale modelling. Bulletin of Mathematical Biology, 80, pp. 1366-1403. (doi: 10.1007/s11538-017-0292-3)

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In this paper, we present two mathematical models related to different aspects and scales of cancer growth. The first model is a stochastic spatiotemporal model of both a synthetic gene regulatory network (the example of a three-gene repressilator is given) and an actual gene regulatory network, the NF-κB pathway. The second model is a force-based individual-based model of the development of a solid avascular tumour with specific application to tumour cords, i.e. a mass of cancer cells growing around a central blood vessel. In each case, we compare our computational simulation results with experimental data. In the final discussion section, we outline how to take the work forward through the development of a multiscale model focussed at the cell level. This would incorporate key intracellular signalling pathways associated with cancer within each cell (e.g. p53–Mdm2, NF-κB) and through the use of high-performance computing be capable of simulating up to 109 cells, i.e. the tissue scale. In this way, mathematical models at multiple scales would be combined to formulate a multiscale computational model.

Item Type:Articles
Additional Information:ZS acknowledges the support of the National Science Centre Poland Grant 2011/01/D/ST1/04133, National Science Centre Poland Grant 2014/15/B/ST6/05082 and The National Centre for Research and Development Grant STRATEGMED1/233224/10/NCBR/2014. ).
Glasgow Author(s) Enlighten ID:Macnamara, Dr Cicely
Authors: Szymańska, Z., Cytowski, M., Mitchell, E., Macnamara, C. K., and Chaplain, M. A.J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Bulletin of Mathematical Biology
ISSN (Online):1522-9602
Published Online:20 June 2017
Copyright Holders:Copyright © Society for Mathematical Biology 2017
First Published:First published in Bulletin of Mathematical Biology 80:1366-1403
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
172141EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering and Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - Mathematics