A multiscale analysis of drug transport and response for a multiphase tumor model
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,...
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| Format: | Article |
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Cambridge University Press
2016
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| Online Access: | https://eprints.nottingham.ac.uk/37400/ |
| _version_ | 1848795451256471552 |
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| author | Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. |
| author_facet | Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. |
| author_sort | Collis, Joe |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:32:18Z |
| format | Article |
| id | nottingham-37400 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:32:18Z |
| publishDate | 2016 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-374002020-05-04T18:17:54Z https://eprints.nottingham.ac.uk/37400/ A multiscale analysis of drug transport and response for a multiphase tumor model Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. 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. Cambridge University Press 2016-10-05 Article PeerReviewed Collis, Joe, Hubbard, Matthew E. and O'Dea, Reuben D. (2016) A multiscale analysis of drug transport and response for a multiphase tumor model. European Journal of Applied Mathematics . ISSN 1469-4425 Cancer modelling Multiscale homogenization Drug transport Porous media http://dx.doi.org/10.1017/S0956792516000413 doi: 10.1017/S0956792516000413 doi: 10.1017/S0956792516000413 |
| spellingShingle | Cancer modelling Multiscale homogenization Drug transport Porous media Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. A multiscale analysis of drug transport and response for a multiphase tumor model |
| title | A multiscale analysis of drug transport and response for a multiphase tumor model |
| title_full | A multiscale analysis of drug transport and response for a multiphase tumor model |
| title_fullStr | A multiscale analysis of drug transport and response for a multiphase tumor model |
| title_full_unstemmed | A multiscale analysis of drug transport and response for a multiphase tumor model |
| title_short | A multiscale analysis of drug transport and response for a multiphase tumor model |
| title_sort | multiscale analysis of drug transport and response for a multiphase tumor model |
| topic | Cancer modelling Multiscale homogenization Drug transport Porous media |
| url | https://eprints.nottingham.ac.uk/37400/ https://eprints.nottingham.ac.uk/37400/ https://eprints.nottingham.ac.uk/37400/ |