Joe Collis
A multiscale analysis of drug transport and response for a multiphase tumor model
Collis, Joe; Hubbard, Matthew E.; O'Dea, Reuben D.
Authors
MATTHEW HUBBARD MATTHEW.HUBBARD@NOTTINGHAM.AC.UK
Professor of Computational and Applied Mathematics
REUBEN O'DEA REUBEN.ODEA@NOTTINGHAM.AC.UK
Associate Professor
Abstract
In this article we consider the spatial homogenization of a multi- phase model for avascular tumour growth and response to chemother- apeutic treatment. The key contribution of this work is the derivation of a system of homogenized partial differential equations describing macroscopic tumour growth, coupled to transport of drug and nutri- ent, that explicitly incorporates details of the structure and dynamics of the tumour at the microscale. In order to derive these equations we employ an asymptotic homogenization of a microscopic description under the assumption of strong interphase drag, periodic microstructure, and strong separation of scales. The resulting macroscale model com- prises a Darcy flow coupled to a system of reaction-advection partial differential equations. The coupled growth, response, and transport dynamics on the tissue scale are investigated via numerical experi- ments for simple academic test cases of microstructural information and tissue geometry, in which we observe drug- and nutrient-regulated growth and response consistent with the anticipated dynamics of the macroscale system.
Citation
Collis, J., Hubbard, M. E., & O'Dea, R. D. (in press). A multiscale analysis of drug transport and response for a multiphase tumor model. European Journal of Applied Mathematics, https://doi.org/10.1017/S0956792516000413
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 5, 2016 |
Online Publication Date | Oct 5, 2016 |
Deposit Date | Oct 6, 2016 |
Publicly Available Date | Oct 6, 2016 |
Journal | European Journal of Applied Mathematics |
Print ISSN | 0956-7925 |
Electronic ISSN | 1469-4425 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
DOI | https://doi.org/10.1017/S0956792516000413 |
Keywords | Cancer modelling, Multiscale homogenization, Drug transport, Porous media |
Public URL | https://nottingham-repository.worktribe.com/output/824578 |
Publisher URL | http://dx.doi.org/10.1017/S0956792516000413 |
Additional Information | © Cambridge University Press 2016 |
Files
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