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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, Singh, B, Webb, SD and McGinty, S Mathematical modelling of fluid flow and solute transport to define operating parameters for in vitro perfusion cell culture systems. Interface Focus. ISSN 2042-8898 (Accepted)

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Abstract

In recent years, there has been a move away from the use of static in vitro 2D 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 3D structures of cells. Whilst 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 spatiotemporal differences in chemical and mechanical cues, thereby assisting with the understanding and design of these systems. In this paper, we present a somewhat general mathematical modelling framework that characterises 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: Article
Uncontrolled Keywords: 3D cell culture, bioreactor, mathematical and computational modelling, fluid dynamics, mass transport, drug testing.
Subjects: Q Science > QA Mathematics
Divisions: Applied Mathematics
Publisher: Royal Society, The
Date Deposited: 21 Oct 2019 08:51
Last Modified: 21 Oct 2019 09:00
URI: http://researchonline.ljmu.ac.uk/id/eprint/11611

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