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A multiphase model for chemically- and mechanically- induced cell differentiation in a hollow fibre membrane bioreactor: minimising growth factor consumption

Abstract:
We present a simplified two-dimensional model of fluid flow, solute transport, and cell distribution in a hollow fibre membrane bioreactor. We consider two cell populations, one undifferentiated and one differentiated, with differentiation stimulated either by growth factor alone, or by both growth factor and fluid shear stress. Two experimental configurations are considered, a 3-layer model in which the cells are seeded in a scaffold throughout the extracapillary space (ECS), and a 4-layer model in which the cell-scaffold construct occupies a layer surrounding the outside of the hollow fibre, only partially filling the ECS. Above this is a region of free-flowing fluid, referred to as the upper fluid layer. Following previous models by the authors (Pearson et al. in Math Med Biol, 2013, Biomech Model Mechanbiol 1-16, 2014a, we employ porous mixture theory to model the dynamics of, and interactions between, the cells, scaffold, and fluid in the cell-scaffold construct. We use this model to determine operating conditions (experiment end time, growth factor inlet concentration, and inlet fluid fluxes) which result in a required percentage of differentiated cells, as well as maximising the differentiated cell yield and minimising the consumption of expensive growth factor.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10237-015-0717-6

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Springer Verlag
Journal:
Biomechanics and Modeling in Mechanobiology More from this journal
Volume:
15
Issue:
3
Pages:
683-700
Publication date:
2015-08-15
Acceptance date:
2015-08-04
DOI:
EISSN:
1617-7940
ISSN:
1617-7959


Language:
English
Keywords:
Pubs id:
pubs:539623
UUID:
uuid:c660109c-bce0-4704-be90-0220f0eb1038
Local pid:
pubs:539623
Source identifiers:
539623
Deposit date:
2016-07-19

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