A multiphase model for tissue construct growth in a perfusion bioreactor

O'Dea, Reuben D. and Waters, Sarah L. and Byrne, Helen M. (2010) A multiphase model for tissue construct growth in a perfusion bioreactor. Mathematical Medicine and Biology, 27 (2). pp. 95-127. ISSN 1477-8599

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The growth of a cell population within a rigid porous scaffold in a perfusion bioreactor is studied, using a three phase continuum model of the type presented by Lemon et al. (2006, Multiphase modelling of tissue growth using the theory of mixtures. J. Math. Biol., 52, 571–594) to represent the cell population (and attendant extracellular matrix), culture medium and porous scaffold. The bioreactor system is modelled as a two-dimensional channel containing the cell-seeded rigid porous scaffold (tissue construct) which is perfused with culture medium. The study concentrates on (i) cell-cell and cell-scaffold interactions and, (ii) the impact of mechanotransduction mechanisms on construct composition.

A numerical and analytical analysis of the model equations is presented and, depending upon the relative importance of cell aggregation and repulsion, markedly different cell movement is revealed. Additionally, mechanotransduction effects due to cell density, pressure and shear stress-mediated tissue growth are shown to generate qualitative differences in the composition of the resulting construct. The results of our simulations indicate that this model formulation (in conjunction with appropriate experimental data) has the potential to provide a means of identifying the dominant regulatory stimuli in a cell population.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1093/imammb/dqp003
Depositing User: O'Dea, Dr Reuben
Date Deposited: 08 Apr 2014 11:03
Last Modified: 14 Oct 2017 10:09
URI: http://eprints.nottingham.ac.uk/id/eprint/2857

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