All Outputs (5)

Gsmodutils: A python based framework for test-driven genome scale metabolic model development (2018)
Other
Gilbert, J. P., Pearcy, N., Norman, R., Millat, T., Winzer, K., King, J., …Twycross, J. (2018). Gsmodutils: A python based framework for test-driven genome scale metabolic model development

Motivation Genome scale metabolic models (GSMMs) are increasingly important for systems biology and metabolic engineering research as they are capable of simulating complex steady-state behaviour. Constraints based models of this form can include tho... Read More about Gsmodutils: A python based framework for test-driven genome scale metabolic model development.

Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption (2018)
Journal Article
Foster, J., Gysbers, P., King, J., & Pelinovsky, D. (2018). Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption. Nonlinearity, 31(10), (4621-4648). doi:10.1088/1361-6544/aad30b. ISSN 0951-7715

Bifurcations of self-similar solutions for reversing interfaces are studied in the slow diffusion equation with strong absorption. The self-similar solutions bifurcate from the time-independent solutions for standing interfaces. We show that such bif... Read More about Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption.

Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model (2018)
Journal Article
Cherniha, R., Davydovych, V., & King, J. R. (2018). Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model. Symmetry, 10(5), Article 171. https://doi.org/10.3390/sym10050171

A generalisation of the Lie symmetry method is applied to classify a coupled system of reaction-diffusion equations wherein the nonlinearities involve arbitrary functions in the limit case in which one equation of the pair is quasi-steady but the oth... Read More about Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model.

Limit-cycle oscillatory coexpression of cross-inhibitory transcription factors: a model mechanism for lineage promiscuity (2018)
Journal Article
Bokes, P., & King, J. R. (in press). Limit-cycle oscillatory coexpression of cross-inhibitory transcription factors: a model mechanism for lineage promiscuity. Mathematical Medicine and Biology, https://doi.org/10.1093/imammb/dqy003

Lineage switches are genetic regulatory motifs that govern and maintain the commitment of a developing cell to a particular cell fate. A canonical example of a lineage switch is the pair of transcription factors PU.1 and GATA-1, of which the former i... Read More about Limit-cycle oscillatory coexpression of cross-inhibitory transcription factors: a model mechanism for lineage promiscuity.

Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake (2018)
Journal Article
Dalwadi, M. P., Wang, Y., King, J. R., & Minton, N. P. (2018). Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake. SIAM Journal on Applied Mathematics, 78(3), 1300-1329. https://doi.org/10.1137/17m1138625

In mathematical models that include nutrient delivery to bacteria, it is prohibitively expensive to include a pointwise nutrient uptake within small bacterial regions over bioreactor length-scales, and so such models often impose an effective uptake... Read More about Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake.