Outputs (55)

Continuum limits of pattern formation in hexagonal-cell monolayers (2012)
Journal Article
O'Dea, R. D., & King, J. R. (2012). Continuum limits of pattern formation in hexagonal-cell monolayers. Journal of Mathematical Biology, 64(3), https://doi.org/10.1007/s00285-011-0427-3

Intercellular signalling is key in determining cell fate. In closely packed tissues such as epithelia, juxtacrine signalling is thought to be a mechanism for the generation of fine-grained spatial patterns in cell differentiation commonly observed in... Read More about Continuum limits of pattern formation in hexagonal-cell monolayers.

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.

A multiple timescale analysis of a mathematical model of the Wnt/β-catenin signalling pathway (2009)
Journal Article
Mirams, G. R., Byrne, H. M., & King, J. R. (2010). A multiple timescale analysis of a mathematical model of the Wnt/β-catenin signalling pathway. Journal of Mathematical Biology, 60(1), 131-160. https://doi.org/10.1007/s00285-009-0262-y

The Wnt signalling pathway is involved in stem cell maintenance, differentiation and tissue development. Its disregulation has also been implicated in many cancers. β-catenin is a protein that regulates both transcription of many genes and cell-cell... Read More about A multiple timescale analysis of a mathematical model of the Wnt/β-catenin signalling pathway.

Elucidating the interactions between the adhesive and transcriptioanl functions of beta-catenin in normal and cancerous cells (2007)
Journal Article
van Leeuwen, I. M. M., Byrne, H. M., Jensen, O. E., & King, J. R. (2007). Elucidating the interactions between the adhesive and transcriptioanl functions of beta-catenin in normal and cancerous cells. Journal of Theoretical Biology, 247(1), 77-102. https://doi.org/10.1016/j.jtbi.2007.01.019

Wnt signalling is involved in a wide range of physiological and pathological processes. The presence of an extracellular Wnt stimulus induces cytoplasmic stabilisation and nuclear translocation of beta-catenin, a protein that also plays an essential... Read More about Elucidating the interactions between the adhesive and transcriptioanl functions of beta-catenin in normal and cancerous cells.