Mathematical modelling of fluid flow and solute transport to define operating parameters for in vitro perfusion cell culture systems

Hyndman, L., McKee, S., Mottram, N. J., Singh, B., Webb, S. D. and McGinty, S. (2020) Mathematical modelling of fluid flow and solute transport to define operating parameters for in vitro perfusion cell culture systems. Interface Focus, 10(2), 20190045. (doi: 10.1098/rsfs.2019.0045)

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Abstract

In recent years, there has been a move away from the use of static in vitro two-dimensional cell culture models for testing the chemical safety and efficacy of drugs. Such models are increasingly being replaced by more physiologically relevant cell culture systems featuring dynamic flow and/or three-dimensional structures of cells. While it is acknowledged that such systems provide a more realistic environment within which to test drugs, progress is being hindered by a lack of understanding of the physical and chemical environment that the cells are exposed to. Mathematical and computational modelling may be exploited in this regard to unravel the dependency of the cell response on spatio-temporal differences in chemical and mechanical cues, thereby assisting with the understanding and design of these systems. In this paper, we present a mathematical modelling framework that characterizes the fluid flow and solute transport in perfusion bioreactors featuring an inlet and an outlet. To demonstrate the utility of our model, we simulated the fluid dynamics and solute concentration profiles for a variety of different flow rates, inlet solute concentrations and cell types within a specific commercial bioreactor chamber. Our subsequent analysis has elucidated the basic relationship between inlet flow rate and cell surface flow speed, shear stress and solute concentrations, allowing us to derive simple but useful relationships that enable prediction of the behaviour of the system under a variety of experimental conditions, prior to experimentation. We describe how the model may used by experimentalists to define operating parameters for their particular perfusion cell culture systems and highlight some operating conditions that should be avoided. Finally, we critically comment on the limitations of mathematical and computational modelling in this field, and the challenges associated with the adoption of such methods.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Mcginty, Dr Sean and Hyndman, Miss Lauren
Authors: Hyndman, L., McKee, S., Mottram, N. J., Singh, B., Webb, S. D., and McGinty, S.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:Interface Focus
Publisher:The Royal Society
ISSN:2042-8898
ISSN (Online):2042-8901
Published Online:14 February 2020
Copyright Holders:Copyright © 2020 The Authors
First Published:First published in Interface Focus 10(2):20190045
Publisher Policy:Reproduced in accordance with the publisher copyright policy
Data DOI:10.6084/m9.figshare.10675049.v1

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
678901EPSRC DTG 2014Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/M506539/1R&I - RESEARCH STRATEGY & INNOVATION
701101EPSRC 2015 DTPMary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/M508056/1R&I - RESEARCH STRATEGY & INNOVATION