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Dr REUBEN O'DEA's Outputs (45)

The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling (2011)
Journal Article
O'Dea, R. D., & King, J. R. (2013). The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling. Mathematical Medicine and Biology, 30(2), https://doi.org/10.1093/imammb/dqr028

Juxtacrine signalling mechanisms are known to be crucial in tissue and organ development, leading to spatial patterns in gene expression. We investigate the patterning behaviour of a discrete model of juxtacrine cell signalling due to Owen \& Sherrat... Read More about The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling.

Multiscale analysis of pattern formation via intercellular signalling (2011)
Journal Article
O'Dea, R. D., & King, J. R. (2011). Multiscale analysis of pattern formation via intercellular signalling. Mathematical Biosciences, 231(2), https://doi.org/10.1016/j.mbs.2011.03.003

Lateral inhibition, a juxtacrine signalling mechanism by which a cell adopting a particular fate inhibits neighbouring cells from doing likewise, has been shown to be a robust mechanism for the formation of fine-grained spatial patterns (in which adj... Read More about Multiscale analysis of pattern formation via intercellular signalling.

The influence of bioreactor geometry and the mechanical environment on engineered tissues (2010)
Journal Article
Osborne, J., O'Dea, R. D., Whiteley, J., Byrne, H., & Waters, S. (2010). The influence of bioreactor geometry and the mechanical environment on engineered tissues. Journal of Biomechanical Engineering, 132(5), Article 051006. https://doi.org/10.1115/1.4001160

A three phase model for the growth of a tissue construct within a perfusion bioreactor is examined. The cell population (and attendant extracellular matrix), culture medium and porous scaffold are treated as distinct phases. The bioreactor system is... Read More about The influence of bioreactor geometry and the mechanical environment on engineered tissues.

A multiphase model for tissue construct growth in a perfusion bioreactor (2010)
Journal Article
O'Dea, R. D., Waters, S. L., & Byrne, H. M. (2010). A multiphase model for tissue construct growth in a perfusion bioreactor. Mathematical Medicine and Biology, 27(2), https://doi.org/10.1093/imammb/dqp003

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.... Read More about A multiphase model for tissue construct growth in a perfusion bioreactor.

A two-fluid model for tissue growth within a dynamic flow environment (2008)
Journal Article
O'Dea, R. D., Waters, S. L., & Byrne, H. M. (2008). A two-fluid model for tissue growth within a dynamic flow environment. European Journal of Applied Mathematics, 19, https://doi.org/10.1017/S0956792508007687

We study the growth of a tissue construct in a perfusion bioreactor, focussing on its response to the mechanical environment. The bioreactor system is modelled as a two-dimensional channel containing a tissue construct through which a flow of culture... Read More about A two-fluid model for tissue growth within a dynamic flow environment.