All Outputs (35)

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.

Mathematical analysis of a model for the growth of the bovine corpus luteum (2013)
Journal Article
Prokopiou, S. A., Byrne, H. M., Jeffrey, M. R., Robinson, R. S., Mann, G. E., & Owen, M. R. (2014). Mathematical analysis of a model for the growth of the bovine corpus luteum. Journal of Mathematical Biology, 69, 1515-1546. https://doi.org/10.1007/s00285-013-0722-2

© 2013, Springer-Verlag Berlin Heidelberg. The corpus luteum (CL) is an ovarian tissue that grows in the wound space created by follicular rupture. It produces the progesterone needed in the uterus to maintain pregnancy. Rapid growth of the CL and pr... Read More about Mathematical analysis of a model for the growth of the bovine corpus luteum.

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

Mathematical Modeling of Glucose Homeostasis and Its Relationship With Energy Balance and Body Fat (2009)
Journal Article
Smith, J. M., Maas, J. A., Garnsworthy, P. C., Owen, M. R., Coombes, S., Pillay, T. S., …Symonds, M. E. (2009). Mathematical Modeling of Glucose Homeostasis and Its Relationship With Energy Balance and Body Fat. Obesity, 17(4), 632-639. https://doi.org/10.1038/oby.2008.604

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.