All Outputs (7)

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.

The structure of a dewetting rim with strong slip: the long-time evolution (2018)
Journal Article
Evans, P., King, J., & Münch, A. (2018). The structure of a dewetting rim with strong slip: the long-time evolution. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 16(3), 1365-1391. https://doi.org/10.1137/15M1051221

When a thin viscous film dewets from a solid substrate, the liquid forms a characteristic rim near the contact line as the contact line retracts. The shape of the rim and also the retraction rate vary strongly with the amount of slip that occurs at t... Read More about The structure of a dewetting rim with strong slip: the long-time evolution.

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.

Finite indentation of highly curved elastic shells (2018)
Journal Article
Pearce, S. P., King, J. R., Steinbrecher, T., Leubner-Metzger, G., Everitt, N. M., & Holdsworth, M. J. (2018). Finite indentation of highly curved elastic shells. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2209), https://doi.org/10.1098/rspa.2017.0482

Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst measuring the app... Read More about Finite indentation of highly curved elastic shells.