All Outputs (68)

Multi-timescale analysis of a metabolic network in synthetic biology: a kinetic model for 3-hydroxypropionic acid production via beta-alanine (2017)
Journal Article
Dalwadi, M. P., King, J. R., & Minton, N. P. (2018). Multi-timescale analysis of a metabolic network in synthetic biology: a kinetic model for 3-hydroxypropionic acid production via beta-alanine. Journal of Mathematical Biology, 77(1), 165-199. https://doi.org/10.1007/s00285-017-1189-3

A biosustainable production route for 3-hydroxypropionic acid (3HP), an important platform chemical, would allow 3HP to be produced without using fossil fuels. We are interested in investigating a potential biochemical route to 3HP from pyruvate thro... Read More about Multi-timescale analysis of a metabolic network in synthetic biology: a kinetic model for 3-hydroxypropionic acid production via beta-alanine.

Stress-dependent local oxidation of silicon (2017)
Journal Article
Evans, J. D., & King, J. R. (2017). Stress-dependent local oxidation of silicon. SIAM Journal on Applied Mathematics, 77(6), 2012-2039. https://doi.org/10.1137/16M1060613

The two-dimensional isolation oxidation of silicon is considered for stress-dependent reaction and diffusion coefficients. The influence of such parameters is investigated numerically and asymptotically in the bird's beak problem and for curved geome... Read More about Stress-dependent local oxidation of silicon.

Root hydrotropism is controlled via a cortex-specific growth mechanism (2017)
Journal Article
Dietrich, D., Pang, L., Kobayashi, A., Fozard, J. A., Boudolf, V., Bhosale, R., …Bennett, M. J. (2017). Root hydrotropism is controlled via a cortex-specific growth mechanism. Nature Plants, 3(6), Article 17057. https://doi.org/10.1038/nplants.2017.57

Plants can acclimate by using tropisms to link the direction of growth to environmental conditions. Hydrotropism allows roots to forage for water, a process known to depend on abscisic acid (ABA) but whose molecular and cellular basis remains unclear... Read More about Root hydrotropism is controlled via a cortex-specific growth mechanism.

Theoretical approaches to understanding root vascular patterning: a consensus between recent models (2016)
Journal Article
Mellor, N., Adibi, M., El-Showk, S., De Rybel, B., King, J., Mähönen, A. P., …Bishopp, A. (in press). Theoretical approaches to understanding root vascular patterning: a consensus between recent models. Journal of Experimental Botany, https://doi.org/10.1093/jxb/erw410

The root vascular tissues provide an excellent system for studying organ patterning, as the specification of these tissues signals a transition from radial symmetry to bisymmetric patterns. The patterning process is controlled by the combined action... Read More about Theoretical approaches to understanding root vascular patterning: a consensus between recent models.

Biphasic regulation of the transcription factor ABORTED MICROSPORES (AMS) is essential for tapetum and pollen development in Arabidopsis (2016)
Journal Article
Ferguson, A., Pearce, S., Band, L. R., Yang, C., Ferjentsikova, I., King, J., …Wilson, Z. A. (in press). Biphasic regulation of the transcription factor ABORTED MICROSPORES (AMS) is essential for tapetum and pollen development in Arabidopsis. New Phytologist, 213, https://doi.org/10.1111/nph.14200

Viable pollen is essential for plant reproduction and crop yield. Its production requires coordinated expression at specific stages during anther development, involving early meiosis-associated events and late pollen wall formation. The ABORTED MICRO... Read More about Biphasic regulation of the transcription factor ABORTED MICROSPORES (AMS) is essential for tapetum and pollen development in Arabidopsis.

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., …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. doi: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

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.

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.

Systems Analysis of Auxin Transport in the Arabidopsis Root Apex (2014)
Journal Article
Band, L. R., Wells, D. M., Fozard, J. A., Ghetiu, T., French, A. P., Pound, M. P., …Bennett, M. J. (2014). Systems Analysis of Auxin Transport in the Arabidopsis Root Apex. Plant Cell, 26(3), 862-875. https://doi.org/10.1105/tpc.113.119495

Auxin is a key regulator of plant growth and development. Within the root tip, auxin distribution plays a crucial role specifying developmental zones and coordinating tropic responses. Determining how the organ-scale auxin pattern is regulated at the... Read More about Systems Analysis of Auxin Transport in the Arabidopsis Root Apex.

Vertex-element models for anisotropic growth of elongated plant organs (2013)
Journal Article
Fozard, J. A., Lucas, M., King, J. R., & Jensen, O. E. (2013). Vertex-element models for anisotropic growth of elongated plant organs. Frontiers in Plant Science, 4(233), https://doi.org/10.3389/fpls.2013.00233

New tools are required to address the challenge of relating plant hormone levels, hormone responses, wall biochemistry and wall mechanical properties to organ-scale growth. Current vertex-based models (applied in other contexts) can be unsuitable for... Read More about Vertex-element models for anisotropic growth of elongated plant organs.