A multiphase multiscale model for nutrient limited tissue growth

In this work, an effective macroscale description is derived for the growth of tissue on a porous scaffold. A multiphase model is employed to describe the tissue dynamics; linearisation to facilitate a multiple-scale homogenisation provides an effective macroscale description, which incorporates dep...

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Main Authors:	Holden, Elizabeth, Collis, Joe, Brook, Bindi S., O'Dea, Reuben D.
Format:	Article
Language:	English
Published:	Cambridge University Press 2018
Online Access:	http://eprints.nottingham.ac.uk/49326/ http://eprints.nottingham.ac.uk/49326/ http://eprints.nottingham.ac.uk/49326/ http://eprints.nottingham.ac.uk/49326/1/EHoldenPaperJan18.pdf

id	nottingham-49326
recordtype	eprints
spelling	nottingham-493262018-07-16T13:45:11Z http://eprints.nottingham.ac.uk/49326/ A multiphase multiscale model for nutrient limited tissue growth Holden, Elizabeth Collis, Joe Brook, Bindi S. O'Dea, Reuben D. In this work, an effective macroscale description is derived for the growth of tissue on a porous scaffold. A multiphase model is employed to describe the tissue dynamics; linearisation to facilitate a multiple-scale homogenisation provides an effective macroscale description, which incorporates dependence on the microscale structure and dynamics. In particular, the resulting description admits both interstitial growth and active cell motion. This model comprises Darcy flow, and differential equations for the volume fraction of cells within the scaffold and the concentration of nutrient, required for growth. These are coupled to underlying Stokes-type cell problems that provide permeability tensors, with multiscale dependence incorporating active cell motion, with which to parameterise the macroscale flow. A subset of solutions are illustrated by numerical simulations. Cambridge University Press 2018-05-23 Article PeerReviewed application/pdf en http://eprints.nottingham.ac.uk/49326/1/EHoldenPaperJan18.pdf Holden, Elizabeth and Collis, Joe and Brook, Bindi S. and O'Dea, Reuben D. (2018) A multiphase multiscale model for nutrient limited tissue growth. ANZIAM Journal, 59 (4). pp. 499-532. ISSN 1446-8735 https://www.cambridge.org/core/journals/anziam-journal/article/multiphase-multiscale-model-for-nutrient-limited-tissue-growth/30C4ACA604627DED7FE469DEEBF01E85 doi:10.1017/S1446181118000044 doi:10.1017/S1446181118000044
repository_type	Digital Repository
institution_category	Local University
institution	University of Nottingham Malaysia Campus
building	Nottingham Research Data Repository
collection	Online Access
language	English
description	In this work, an effective macroscale description is derived for the growth of tissue on a porous scaffold. A multiphase model is employed to describe the tissue dynamics; linearisation to facilitate a multiple-scale homogenisation provides an effective macroscale description, which incorporates dependence on the microscale structure and dynamics. In particular, the resulting description admits both interstitial growth and active cell motion. This model comprises Darcy flow, and differential equations for the volume fraction of cells within the scaffold and the concentration of nutrient, required for growth. These are coupled to underlying Stokes-type cell problems that provide permeability tensors, with multiscale dependence incorporating active cell motion, with which to parameterise the macroscale flow. A subset of solutions are illustrated by numerical simulations.
format	Article
author	Holden, Elizabeth Collis, Joe Brook, Bindi S. O'Dea, Reuben D.
spellingShingle	Holden, Elizabeth Collis, Joe Brook, Bindi S. O'Dea, Reuben D. A multiphase multiscale model for nutrient limited tissue growth
author_facet	Holden, Elizabeth Collis, Joe Brook, Bindi S. O'Dea, Reuben D.
author_sort	Holden, Elizabeth
title	A multiphase multiscale model for nutrient limited tissue growth
title_short	A multiphase multiscale model for nutrient limited tissue growth
title_full	A multiphase multiscale model for nutrient limited tissue growth
title_fullStr	A multiphase multiscale model for nutrient limited tissue growth
title_full_unstemmed	A multiphase multiscale model for nutrient limited tissue growth
title_sort	multiphase multiscale model for nutrient limited tissue growth
publisher	Cambridge University Press
publishDate	2018
url	http://eprints.nottingham.ac.uk/49326/ http://eprints.nottingham.ac.uk/49326/ http://eprints.nottingham.ac.uk/49326/ http://eprints.nottingham.ac.uk/49326/1/EHoldenPaperJan18.pdf
first_indexed	2018-09-06T14:05:53Z
last_indexed	2018-09-06T14:05:53Z
_version_	1610867281359798272

A multiphase multiscale model for nutrient limited tissue growth

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