Outputs (55)

Hybrid vertex-midline modelling of elongated plant organs (2016)
Journal Article
Fozard, J. A., Bennett, M. J., King, J. R., & Jensen, O. E. (2016). Hybrid vertex-midline modelling of elongated plant organs. Interface Focus, 6(5), Article 20160043. https://doi.org/10.1098/rsfs.2016.0043

We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale... Read More about Hybrid vertex-midline modelling of elongated plant organs.

Dynamic regulation of auxin oxidase and conjugating enzymes AtDAO1 and GH3 modulates auxin homeostasis (2016)
Journal Article
Mellor, N. L., Band, L. R., Pěnčík, A., Novak, O., Rashed, A., Holman, T., Wilson, M. H., Voss, U., Bishopp, A., King, J. R., Ljung, K., Bennett, M. J., & Owen, M. R. (2016). Dynamic regulation of auxin oxidase and conjugating enzymes AtDAO1 and GH3 modulates auxin homeostasis. Proceedings of the National Academy of Sciences, 113(39), 11022-11027. https://doi.org/10.1073/pnas.1604458113

Auxin is a key hormone regulating plant growth and development. We combine experiments and mathematical modeling to reveal how auxin levels are maintained via feedback regulation of genes encoding key metabolic enzymes. We describe how regulation of... Read More about Dynamic regulation of auxin oxidase and conjugating enzymes AtDAO1 and GH3 modulates auxin homeostasis.

The effects of insulin resistance on individual tissues: an application of a mathematical model of metabolism in humans (2016)
Journal Article
Pearson, T., Wattis, J. A., King, J., McDonald, I., & Mazzatti, D. (in press). The effects of insulin resistance on individual tissues: an application of a mathematical model of metabolism in humans. Bulletin of Mathematical Biology, 78(6), https://doi.org/10.1007/s11538-016-0181-1

Whilst the human body expends energy constantly, the human diet consists of a mix of carbohydrates and fats delivered in a discontinuous manner. To deal with this sporadic supply of energy, there are transport, storage and utilisation mechanisms, for... Read More about The effects of insulin resistance on individual tissues: an application of a mathematical model of metabolism in humans.

A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana (2016)
Journal Article
Muraro, D., Larrieu, A., Lucas, M., Chopard, J., Byrne, H. M., Godin, C., & King, J. R. (in press). A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana. Journal of Theoretical Biology, 404, https://doi.org/10.1016/j.jtbi.2016.04.036

The growth of the root of Arabidopsis thaliana is sustained by the meristem, a region of cell proliferation and differentiation which is located in the root apex and generates cells which move shootwards, expanding rapidly to cause root growth. The b... Read More about A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana.

Multicellular mathematical modelling of mesendoderm formation in amphibians (2016)
Journal Article
Brown, L., Middleton, A., King, J., & Loose, M. (2016). Multicellular mathematical modelling of mesendoderm formation in amphibians. Bulletin of Mathematical Biology, 78(3), 436-467. https://doi.org/10.1007/s11538-016-0150-8

The earliest cell fate decisions in a developing embryo are those associated with establishing the germ layers. The specification of the mesoderm and endoderm is of particular interest as the mesoderm is induced from the endoderm, potentially from an... Read More about Multicellular mathematical modelling of mesendoderm formation in amphibians.

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

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 that... 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.

A mathematical model of the human metabolic system and metabolic flexibility (2014)
Journal Article
Pearson, T., Wattis, J. A., King, J. R., MacDonald, I. A., & Mazzatti, D. (2014). A mathematical model of the human metabolic system and metabolic flexibility. Bulletin of Mathematical Biology, 76(9), https://doi.org/10.1007/s11538-014-0001-4

In healthy subjects some tissues in the human body display metabolic flexibility, by this we mean the ability for the tissue to switch its fuel source between predominantly carbohydrates in the post prandial state and predominantly fats in the fasted... Read More about A mathematical model of the human metabolic system and metabolic flexibility.