All Outputs (7)

Asymptotic analysis of a doubly nonlinear diffusion equation (2015)
Journal Article
King, J. R. (2016). Asymptotic analysis of a doubly nonlinear diffusion equation. Nonlinear Analysis: Theory, Methods and Applications, 138, https://doi.org/10.1016/j.na.2015.12.003

We investigate the doubly nonlinear diffusion equation ?u/?t=1/n ?.(u^m??u?^n-1) ?u) and the same equation expressed in terms of a `pressure' variable. We classify various classes of compacted supported solutions, as well as finite-mass solutions t... Read More about Asymptotic analysis of a doubly nonlinear diffusion equation.

Pushed and pulled fronts in a discrete reaction-diffusion equation (2015)
Journal Article
King, J. R., & O'Dea, R. D. (2015). Pushed and pulled fronts in a discrete reaction-diffusion equation. Journal of Engineering Mathematics, https://doi.org/10.1007/s10665-015-9829-3

We consider the propagation of wave fronts connecting unstable and stable uniform solutions to a discrete reaction-diffusion equation on a one-dimensional integer lattice. The dependence of the wavespeed on the coupling strength µ between lattice poi... Read More about Pushed and pulled fronts in a discrete reaction-diffusion equation.

The Hele-Shaw injection problem for an extremely shear-thinning fluid (2015)
Journal Article
KING, J., & Richardson, G. (2015). The Hele-Shaw injection problem for an extremely shear-thinning fluid. European Journal of Applied Mathematics, 26(5), 563-594. https://doi.org/10.1017/S095679251500039X

We consider Hele-Shaw flows driven by injection of a highly shear-thinning power-law fluid (of exponent n) in the absence of surface tension. We formulate the problem in terms of the streamfunction ψ, which satisfies the p-Laplacian equation ∇·(|∇ψ|p... Read More about The Hele-Shaw injection problem for an extremely shear-thinning fluid.

Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice (2015)
Journal Article
Dean, A. D., Matthews, P. C., Cox, S. M., & King, J. R. (2015). Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice. SIAM Journal on Applied Dynamical Systems, 14(1), 481-521. https://doi.org/10.1137/140966897

We study homoclinic snaking of one-dimensional, localized states on two-dimensional, bistable lattices via the method of exponential asymptotics. Within a narrow region of parameter space, fronts connecting the two stable states are pinned to the und... Read More about Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice.

FlowerNet: a gene expression correlation metwork for anther and pollen development (2015)
Journal Article
Pearce, S., Ferguson, A., King, J., & Wilson, Z. A. (2015). FlowerNet: a gene expression correlation metwork for anther and pollen development. Plant Physiology, 167(4), https://doi.org/10.1104/pp.114.253807

Floral formation, in particular anther and pollen development, is a complex biological process with critical importance for seed set and for targeted plant breeding. Many key transcription factors regulating this process have been identified; however... Read More about FlowerNet: a gene expression correlation metwork for anther and pollen development.

Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6 (2015)
Journal Article
Mendiondo, G. M., Gibbs, D. J., Szurman-Zubrzycka, M., Korn, A., Marquez, J., Szarejko, I., …Holdsworth, M. J. (2016). Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6. Plant Biotechnology Journal, 14(1), 40-50. https://doi.org/10.1111/pbi.12334

© 2016 Society for Experimental Biology, Association of Applied Biologists and John Wiley & Sons Ltd. Increased tolerance of crops to low oxygen (hypoxia) during flooding is a key target for food security. In Arabidopsis thaliana (L.) Heynh., the N... Read More about Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6.

Promotion of testa rupture during garden cress germination involves seed compartment-specific expression and activity of pectin methylesterases (2015)
Journal Article
Scheler, C., Weitbrecht, K., Pearce, S. P., Hampstead, A., Büttner-Mainik, A., Lee, K. J., …Leubner-Metzger, G. (2015). Promotion of testa rupture during garden cress germination involves seed compartment-specific expression and activity of pectin methylesterases. Plant Physiology, 167(1),

Pectin methylesterase (PME) controls the methylesterification status of pectins and thereby determines the biophysical properties of plant cell walls, which are important for tissue growth and weakening processes. We demonstrate here that tissue-spec... Read More about Promotion of testa rupture during garden cress germination involves seed compartment-specific expression and activity of pectin methylesterases.