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- Markus R. Owen, Elena Doran, Andrew Philip Halestrap
- The Biochemical journal
- 2000

Although metformin is widely used for the treatment of non-insulin-dependent diabetes, its mode of action remains unclear. Here we provide evidence that its primary site of action is through a directâ€¦ (More)

In this paper, we consider instabilities of localized solutions in planar neural field firing rate models of Wilsonâ€“Cowan or Amari type. Importantly we show that angular perturbations can destabilizeâ€¦ (More)

We consider a firing rate model of a neuronal network continuum that incorporates axo-dendritic synaptic processing and the finite conduction velocities of action potentials. The model equation is anâ€¦ (More)

- Markus R. Owen, Helen M. Byrne, Claire E. Lewis
- Journal of theoretical biology
- 2004

Poor drug delivery and low rates of cell proliferation are two factors associated with hypoxia that diminish the efficacy of many chemotherapeutic drugs. Since macrophages are known to migrateâ€¦ (More)

- Stephen Coombes, Markus R. Owen
- SIAM J. Applied Dynamical Systems
- 2004

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 ofâ€¦ (More)

- Leah R. Band, Darren M. Wells, +22 authors Malcolm J Bennett
- Proceedings of the National Academy of Sciencesâ€¦
- 2012

Gravity profoundly influences plant growth and development. Plants respond to changes in orientation by using gravitropic responses to modify their growth. Cholodny and Went hypothesized over 80â€¦ (More)

- Markus R. Owen, Jonathan A. Sherratt
- Mathematical biosciences
- 1998

Juxtacrine signalling is emerging as an important means of cellular communication, in which signalling molecules anchored in the cell membrane bind to and activate receptors on the surface ofâ€¦ (More)

- S. D. Webb, Markus R. Owen
- Journal of mathematical biology
- 2004

We extend previous models for nearest neighbour ligand-receptor binding to include both lateral induction and inhibition of ligand and receptor production, and different geometries (strings of cellsâ€¦ (More)

- Stephen Coombes, Markus R. Owen
- Physical review letters
- 2005

We introduce a continuum model of neural tissue that includes the effects of spike frequency adaptation (SFA). The basic model is an integral equation for synaptic activity that depends upon nonlocalâ€¦ (More)

- Markus R. Owen, Jonathan A. Sherratt, Helen J. Wearing
- Developmental biology
- 2000

Many signaling molecules in epithelia are now known to function in a membrane-bound form, binding to receptors on immediately neighbouring cells. This "juxtacrine" mode of communication has been wellâ€¦ (More)