Outputs (28)

Elementary effects for models with dimensional inputs of arbitrary type and range: Scaling and trajectory generation (2023)
Journal Article
Rutjens, R. J., Band, L. R., Jones, M. D., & Owen, M. R. (2023). Elementary effects for models with dimensional inputs of arbitrary type and range: Scaling and trajectory generation. PLoS ONE, 18(10), Article e0293344. https://doi.org/10.1371/journal.pone.0293344

The Elementary Effects method is a global sensitivity analysis approach for identifying (un)important parameters in a model. However, it has almost exclusively been used where inputs are dimensionless and take values on [0, 1]. Here, we consider mode... Read More about Elementary effects for models with dimensional inputs of arbitrary type and range: Scaling and trajectory generation.

Long-distance hormone transport via the phloem (2023)
Journal Article
Collis, H. L., Owen, M. R., & Band, L. R. (2023). Long-distance hormone transport via the phloem. Journal of Theoretical Biology, 562, Article 111415. https://doi.org/10.1016/j.jtbi.2023.111415

Several key plant hormones are synthesised in the shoot and are advected within the phloem to the root tip. In the root tip, these hormones regulate growth and developmental processes, and responses to environmental cues. However, we lack understandi... Read More about Long-distance hormone transport via the phloem.

In silico evidence for the utility of parsimonious root phenotypes for improved vegetative growth and carbon sequestration under drought (2022)
Journal Article
Schäfer, E. D., Ajmera, I., Farcot, E., Owen, M. R., Band, L. R., & Lynch, J. P. (2022). In silico evidence for the utility of parsimonious root phenotypes for improved vegetative growth and carbon sequestration under drought. Frontiers in Plant Science, 13, Article 1010165. https://doi.org/10.3389/fpls.2022.1010165

Drought is a primary constraint to crop yields and climate change is expected to increase the frequency and severity of drought stress in the future. It has been hypothesized that crops can be made more resistant to drought and better able to sequest... Read More about In silico evidence for the utility of parsimonious root phenotypes for improved vegetative growth and carbon sequestration under drought.

Modeling root loss reveals impacts on nutrient uptake and crop development (2022)
Journal Article
Schäfer, E. D., Owen, M. R., Band, L. R., Farcot, E., Bennett, M. J., & Lynch, J. P. (2022). Modeling root loss reveals impacts on nutrient uptake and crop development. Plant Physiology, 190(4), 2260-2278. https://doi.org/10.1093/plphys/kiac405

Abstract Despite the widespread prevalence of root loss in plants, its effects on crop productivity are not fully understood. While root loss reduces the capacity of plants to take up water and nutrients from the soil, it may provide benefits by decr... Read More about Modeling root loss reveals impacts on nutrient uptake and crop development.

Modelling the emergence of cities and urban patterning using coupled integro-differential equations (2022)
Journal Article
Whiteley, T. D., Avitabile, D., Siebers, P. O., Robinson, D., & Owen, M. R. (2022). Modelling the emergence of cities and urban patterning using coupled integro-differential equations. Journal of the Royal Society, Interface, 19(190), Article 20220176. https://doi.org/10.1098/rsif.2022.0176

Human residential population distributions show patterns of higher density clustering around local services such as shops and places of employment, displaying characteristic length scales; Fourier transforms and spatial autocorrelation show the lengt... Read More about Modelling the emergence of cities and urban patterning using coupled integro-differential equations.

Exorcising Malthusian ghosts: Vaccinating the Nexus to advance integrated water, energy and food resource resilience (2021)
Journal Article
Kemp, P. S., Acuto, M., Larcom, S., Lumbroso, D., & Owen, M. R. (2022). Exorcising Malthusian ghosts: Vaccinating the Nexus to advance integrated water, energy and food resource resilience. Current Research in Environmental Sustainability, 4, Article 100108. https://doi.org/10.1016/j.crsust.2021.100108

Water-Energy-Food (WEF) Nexus interactions vary from seemingly negative and intractable wicked problems to opportunities for enhanced sustainability. The aim of this paper is to review the current state of understanding on WEF resource interactions a... Read More about Exorcising Malthusian ghosts: Vaccinating the Nexus to advance integrated water, energy and food resource resilience.

Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots (2021)
Journal Article
Rizza, A., Tang, B., Stanley, C. E., Grossmann, G., Owen, M. R., Jones, A. M., & Band, L. R. (2021). Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots. Proceedings of the National Academy of Sciences, 118(8), Article e1921960118. https://doi.org/10.1073/pnas.1921960118

Control over cell growth by mobile regulators underlies much of eukaryotic morphogenesis. In plant roots, cell division and elongation are separated into distinct longitudinal zones and both division and elongation are influenced by the growth regula... Read More about Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots.

A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma (2020)
Journal Article
Curtin, L., Hawkins-Daarud, A., Porter, A. B., van der Zee, K. G., Owen, M. R., & Swanson, K. R. (2020). A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma. Bulletin of Mathematical Biology, 82(11), Article 143. https://doi.org/10.1007/s11538-020-00814-y

Glioblastoma (GBM) is the most aggressive primary brain tumor with a short median survival. Tumor recurrence is a clinical expectation of this disease and usually occurs along the resection cavity wall. However, previous clinical observations have su... Read More about A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma.

Identifying the spatial and temporal dynamics of molecularly-distinct glioblastoma sub-populations (2020)
Journal Article
Morris, B., Curtin, L., Hawkins-Daarud, A., Hubbard, M. E., Rahman, R., Smith, S. J., …Owen, M. R. (2020). Identifying the spatial and temporal dynamics of molecularly-distinct glioblastoma sub-populations. Mathematical Biosciences and Engineering, 17(5), 4905-4941. https://doi.org/10.3934/mbe.2020267

Glioblastomas (GBMs) are the most aggressive primary brain tumours and have no known cure. Each individual tumour comprises multiple sub-populations of genetically-distinct cells that may respond differently to targeted therapies and may contribute t... Read More about Identifying the spatial and temporal dynamics of molecularly-distinct glioblastoma sub-populations.

Switching behaviour in vascular smooth muscle cell–matrix adhesion during oscillatory loading (2020)
Journal Article
Irons, L., Huang, H., Owen, M. R., O'Dea, R. D., Meininger, G. A., & Brook, B. S. (2020). Switching behaviour in vascular smooth muscle cell–matrix adhesion during oscillatory loading. Journal of Theoretical Biology, 502, Article 110387. https://doi.org/10.1016/j.jtbi.2020.110387

Integrins regulate mechanotransduction between smooth muscle cells (SMCs) and the extracellular matrix (ECM). SMCs resident in the walls of airways or blood vessels are continuously exposed to dynamic mechanical forces due to breathing or pulsatile b... Read More about Switching behaviour in vascular smooth muscle cell–matrix adhesion during oscillatory loading.

Speed Switch in Glioblastoma Growth Rate due to Enhanced Hypoxia-Induced Migration (2020)
Journal Article
Curtin, L., Hawkins-Daarud, A., van der Zee, K. G., Swanson, K. R., & Owen, M. R. (2020). Speed Switch in Glioblastoma Growth Rate due to Enhanced Hypoxia-Induced Migration. Bulletin of Mathematical Biology, 82(3), Article 43. https://doi.org/10.1007/s11538-020-00718-x

We analyze the wave-speed of the Proliferation Invasion Hypoxia Necro-sis Angiogenesis (PIHNA) model that was previously created and applied to simulate the growth and spread of glioblastoma (GBM), a particularly aggressive primary brain tumor. We ex... Read More about Speed Switch in Glioblastoma Growth Rate due to Enhanced Hypoxia-Induced Migration.

OpenSimRoot: widening the scope and application of root architectural models (2017)
Journal Article
Postma, J. A., Kuppe, C., Owen, M. R., Mellor, N. L., Griffiths, M., Bennett, M. J., …Watt, M. (2017). OpenSimRoot: widening the scope and application of root architectural models. New Phytologist, 215(3), 1274-1286. https://doi.org/10.1111/nph.14641

© 2017 The Authors. New Phytologist © 2017 New Phytologist Trust OpenSimRoot is an open-source, functional–structural plant model and mathematical description of root growth and function. We describe OpenSimRoot and its functionality to broaden the b... Read More about OpenSimRoot: widening the scope and application of root architectural models.

Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage (2017)
Journal Article
Baker, M., Brook, B. S., & Owen, M. R. (2017). Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage. Journal of Mathematical Biology, 75(4), 985-1024. https://doi.org/10.1007/s00285-017-1104-y

Osteoarthritis (OA) is a degenerative disease which causes pain and stiffness in joints. OA progresses through excessive degradation of joint cartilage, eventually leading to significant joint degeneration and loss of function. Cytokines, a group of... Read More about Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage.

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 spatiotemporal order of signaling events unveils the logic of development signaling (2016)
Journal Article
Zhu, H., Owen, M. R., & Mao, Y. (in press). The spatiotemporal order of signaling events unveils the logic of development signaling. Bioinformatics, 32(15), https://doi.org/10.1093/bioinformatics/btw121

Motivation: Animals from worms and insects to birds and mammals show distinct body plans; however, the embryonic development of diverse body plans with tissues and organs within is controlled by a surprisingly few signaling pathways. It is well recog... Read More about The spatiotemporal order of signaling events unveils the logic of development signaling.

Modelling cell cycle synchronisation in networks of coupled radial glial cells (2015)
Journal Article
Barrack, D., Thul, R., & Owen, M. R. (2015). Modelling cell cycle synchronisation in networks of coupled radial glial cells. Journal of Theoretical Biology, 377, https://doi.org/10.1016/j.jtbi.2015.04.013

Radial glial cells play a crucial role in the embryonic mammalian brain. Their proliferation is thought to be controlled, in part, by ATP mediated calcium signals. It has been hypothesised that these signals act to locally synchronise cell cycles, so... Read More about Modelling cell cycle synchronisation in networks of coupled radial glial cells.

Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development (2014)
Journal Article
Barrack, D., Thul, R., & Owen, M. R. (2014). Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development. Journal of Theoretical Biology, 347, https://doi.org/10.1016/j.jtbi.2014.01.004

Most neocortical neurons formed during embryonic brain development arise from radial glial cells which communicate, in part, via ATP mediated calcium signals. Although the intercellular signalling mechanisms that regulate radial glia proliferation ar... Read More about Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development.

Sequential induction of auxin efflux and influx carriers regulates lateral root emergence (2013)
Journal Article
Peret, B., Middleton, A. M., French, A. P., Larrieu, A., Bishopp, A., Njo, M., …Bennett, M. J. (2013). Sequential induction of auxin efflux and influx carriers regulates lateral root emergence. Molecular Systems Biology, 9(1), Article 699. https://doi.org/10.1038/msb.2013.43

In Arabidopsis, lateral roots originate from pericycle cells deep within the primary root. New lateral root primordia (LRP) have to emerge through several overlaying tissues. Here, we report that auxin produced in new LRP is transported towards the o... Read More about Sequential induction of auxin efflux and influx carriers regulates lateral root emergence.

Is a persistent global bias necessary for the establishment of planar cell polarity? (2013)
Journal Article
Fischer, S., Houston, P., Monk, N. A., & Owen, M. R. (2013). Is a persistent global bias necessary for the establishment of planar cell polarity?. PLoS ONE, 8(4), 1-12. https://doi.org/10.1371/journal.pone.0060064

Planar cell polarity (PCP) — the coordinated polarisation of a whole field of cells within the plane of a tissue — relies on the interaction of three modules: a global module that couples individual cellular polarity to the tissue axis, a local modul... Read More about Is a persistent global bias necessary for the establishment of planar cell polarity?.

Influence of slow oscillation on hippocampal activity and ripples through cortico-hippocampal synaptic interactions, analyzed by a cortical-CA3-CA1 network model (2013)
Journal Article
Taxidis, J., Mizuseki, K., Mason, R., & Owen, M. R. (2013). Influence of slow oscillation on hippocampal activity and ripples through cortico-hippocampal synaptic interactions, analyzed by a cortical-CA3-CA1 network model. Frontiers in Computational Neuroscience, 7(Februa), Article 19. https://doi.org/10.3389/fncom.2013.00003

Hippocampal sharp wave-ripple complexes (SWRs) involve the synchronous discharge of thousands of cells throughout the CA3-CA1-subiculum-entorhinal cortex axis. Their strong
transient output affects cortical targets, rendering SWRs a possible means f... Read More about Influence of slow oscillation on hippocampal activity and ripples through cortico-hippocampal synaptic interactions, analyzed by a cortical-CA3-CA1 network model.

Mathematical Modeling Predicts Synergistic Antitumor Effects of Combining a Macrophage-Based, Hypoxia-Targeted Gene Therapy with Chemotherapy (2011)
Journal Article
Owen, M. R., Stamper, I. J., Muthana, M., Richardson, G. W., Dobson, J., Lewis, C. E., & Byrne, H. M. (2011). Mathematical Modeling Predicts Synergistic Antitumor Effects of Combining a Macrophage-Based, Hypoxia-Targeted Gene Therapy with Chemotherapy. Cancer Research, 71(8), 2826-2837. https://doi.org/10.1158/0008-5472.can-10-2834

Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis (2008)
Journal Article
Zachariou, M., Dissanayake, D. W. N., Coombes, S., Owen, M. R., & Mason, R. (in press). Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis. Cognitive Neurodynamics, 2, https://doi.org/10.1007/s11571-008-9050-4

Gating of sensory information can be assessed using an auditory conditioning-test paradigm which measures the reduction in the auditory evoked response to a test stimulus following an initial conditioning stimulus. Recording brainwaves from specific... Read More about Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis.

Modelling and analysis of planar cell polarity (2008)
Journal Article
Schamberg, S., Houston, P., Monk, N. A., & Owen, M. R. Modelling and analysis of planar cell polarity. Manuscript submitted for publication

Planar cell polarity (PCP) occurs in the epithelia of many animals and can lead to the alignment of hairs, bristles and feathers; physiologically, it can organise ciliary beating. Here we present two approaches to modelling this phenomenon. The aim i... Read More about Modelling and analysis of planar cell polarity.

Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities (2007)
Journal Article
Owen, M. R., Laing, C., & Coombes, S. (2007). Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities. New Journal of Physics, 9(378), https://doi.org/10.1088/1367-2630/9/10/378

In this paper we consider instabilities of localised solutions in planar neural field firing rate models of Wilson-Cowan or Amari type. Importantly we show that angular perturbations can destabilise spatially localised solutions. For a scalar model... Read More about Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities.

Exotic dynamics in a firing rate model of neural tissue with threshold accommodation (2007)
Journal Article
Coombes, S., & Owen, M. R. (2007). Exotic dynamics in a firing rate model of neural tissue with threshold accommodation

Many of the equations describing the dynamics of neural systems are written in terms of firing rate functions, which themselves are often taken to be threshold functions of synaptic activity. Dating back to work by Hill in 1936 it has been recognize... Read More about Exotic dynamics in a firing rate model of neural tissue with threshold accommodation.

The role of cannabinoids in the neurobiology of sensory gating: a firing rate model study (2006)
Journal Article
Zachariou, M., Dissanayake, D., Owen, M. R., Mason, R., & Coombes, S. The role of cannabinoids in the neurobiology of sensory gating: a firing rate model study. Neurocomputing, 70(10/12), https://doi.org/10.1016/j.neucom.2006.10.065

Gating of sensory (e.g. auditory) information has been demonstrated as a reduction in the auditory-evoked potential responses recorded in the brain of both normal animals and human subjects. Auditory gating is perturbed in schizophrenic patients and... Read More about The role of cannabinoids in the neurobiology of sensory gating: a firing rate model study.

Bumps, breathers, and waves in a neural network with spike frequency adaptation (2005)
Journal Article
Coombes, S., & Owen, M. R. (2005). Bumps, breathers, and waves in a neural network with spike frequency adaptation. Physical Review Letters, 94(14), https://doi.org/10.1103/PhysRevLett.94.148102

In this Letter we introduce a continuum model of neural tissue that include the effects of so-called spike frequency adaptation (SFA). The basic model is an integral equation for synaptic activity that depends upon the non-local network connectivity... Read More about Bumps, breathers, and waves in a neural network with spike frequency adaptation.

Evans functions for integral neural field equations with Heaviside firing rate function (2004)
Journal Article
Coombes, S., & Owen, M. R. Evans functions for integral neural field equations with Heaviside firing rate function. SIAM Journal on Applied Dynamical Systems, 3(4), https://doi.org/10.1137/040605953

In this paper we show how to construct the Evans function for traveling wave solutions of integral neural field equations when the firing rate function is a Heaviside. This allows a discussion of wave stability and bifurcation as a function of syste... Read More about Evans functions for integral neural field equations with Heaviside firing rate function.